PLEASE HELP THIS MAKES NO SENSE AND WOULD BE VERY MUCH HELPFUL IF YOU CAN JUST ANSWER THEM GRADES ARE DUE TOMORROW, please help.
Answers
Distance between M(6,-7) and a line that contains the points C(-6,-2) and H(-1,10) is 7.846
First we will find the equation of the line containing the points C(-6,-2) and H(-1,10).
Take (x₁, y₁) = (-6,-2) and (x₂, y₂) = (-1,10).
Then the slope of the line, m = y₂-y₁/x₂-x₁
= 10- -2/-1- -6
= -12/7
So the equation of the line is
y-y₁ = m(x-x₁)
⇒ y- -2 = -12/7(x- -6)
⇒ y+2 = -12/7(x+6)
⇒7(y+2) = -12(x+6)
⇒ 7y +14 = -12x -72
⇒ 12x+7y +14+72 = 0
⇒ 12x+7y+86 = 0
This is in the form ax+ by+ c = 0
Also given the point (x, y) = (6, -7).
Distance between a point (x, y) and a line ax+ by+ c = 0 is,
[tex]\frac{|ax+by+c|}{\sqrt{a^2+b^2} }[/tex].
So Distance between M(6,-7) and the line 12x+7y+86 = 0 is
[tex]\frac{|12.6+7.-7+86|}{\sqrt{12^2+7^2} }[/tex] = |72-49+86|/√(144+49)
= 109/√193
= 7.846
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Related Questions
Ben's monthly housing costs for his new home will be $2100 per month. What
must his monthly net income be to keep housing as 30% of his budget?
Answers
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
The monthly net income to keep housing a 30% of his budget is $7000.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Cost of monthly housing per month = $2100
$2100 = 30%
Monthly income = 100%
30% = 2100
Multiply 100/30 on both sides.
100/30 x 30% = 100/30 x 2100
100% = 7000
Thus,
The monthly net income to keep housing a 30% of his budget is $7000.
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mr jeneski is preparing for a half marathon. He runs a total of 60 miles per week. Five of those miles are ran on saturday, and he takes sunday off. How many miles does he run per day, Monday-Friday
Answers
11 miles he run per day, Monday-Friday.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total distance travelled = 60 miles.
On Saturday= 5 miles
Sunday was off
So, from Monday to Friday he travelled
=60 - 5
= 55 miles.
and, per day he run
= 55/5
= 11 miles
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What is the slope line that passes through the points (-6,4) and (-15,4)?
Answers
Answer: the slope=0
Step-by-step explanation:
[tex]\displaystyle\\(-6,4)\ \ \ \ \ (-15,4)\\\\\boxed {The\ slope=\frac{y_2-y_1}{x_2-y_1} }\\\\The\ slope=\frac{4-4}{-15-(-6)} \\The\ slope=\frac{0}{-15+6} \\\\The\ slope=0[/tex]
how to find the edge of a cube with the volume of 125 inches
Answers
Answer:
5 inches
Step-by-step explanation:
Hello!
The volume of a cube is simply the side length cubed, or the side lengthed multiplied by itself 3 times.
So, to find the edge, we can find the cube root of 125 to find that measure.
Find the Side Lengthx³ = 125x = ∛125x = 5The edge is 5 inches.
one number is 9 more than 3 times another. Their product is 9 more than 3 times their sum. Find the numbers. Answer in the form of paired points with the lowest of the two integers first
Answers
Let x and y be the two numbers we are trying to find.
'One number is 9 more 3 times another' is equivalent to x=9+3y
'Their product is 9 more than 3 times their sum' is equivalent to xy=9+3(x+y)
We have two equations and two unknowns; therefore, we can solve the problem
[tex]\begin{cases}x=9+3y \\ xy=9+3(x+y)\end{cases}[/tex]Solve it as shown below
[tex]\begin{gathered} x=9+3y \\ \Rightarrow xy=(9+3y)y=9y+3y^2 \\ \text{and} \\ 9+3(x+y)=9+3(9+3y+y)=9+3(9+4y)=9+27+12y=36+12y \\ \Rightarrow9y+3y^2=36+12y \\ \Rightarrow3y^2-3y-36=0 \\ \Rightarrow y^2-y-12=0 \end{gathered}[/tex]Solve the quadratic equation
[tex]\begin{gathered} y^2-y-12=0 \\ \Leftrightarrow(y-4)(y+3)=0 \\ \Rightarrow y=4,y=-3 \end{gathered}[/tex]Finally,
[tex]\begin{gathered} y=4 \\ \Rightarrow x=9+3(4)=21 \\ \Rightarrow(21,4) \\ y=-3 \\ \Rightarrow x=9+3(-3)=0 \\ \Rightarrow(0,-3) \end{gathered}[/tex]The solutions are (21,4) and (0,-3)
BRAINLIEST will be given to the answer
Write in the form (x + p)^2 + q
x^2 - 5x + 3
Answers
Answer:[tex][x{-\frac{5}{2}] ^{2} +\frac{-12}{25}[/tex] is in the form [tex][x+p]^{2} +q[/tex]
Step-by-step explanation:
Here given is [tex]x^{2} -5x+3[/tex].................................eq [1]
now we know that [tex][x-\frac{5}{2}] ^{2}[/tex]= [tex]x^{2} -5x+\frac{25}{4}[/tex]............eq [2]
now add and subtract [tex]\frac{25}{4}[/tex] in eq 1
[tex]x^{2} -5x+3+\frac{25}{4} -\frac{25}{4}[/tex]
[tex]x^{2} -5x+\frac{25}{4}+3-\frac{25}{4}[/tex]
[tex][x-\frac{5}{2} ]^{2} +\frac{3*4-25}{4}[/tex]................................from eq[2]
[tex][x{-\frac{5}{2}] ^{2} +\frac{-12}{25}[/tex]
so comparing with the given form [tex][x+p]^{2} +q[/tex]
where p=[tex]\frac{5}{2\\}[/tex] and q=[tex]\frac{-12}{5}[/tex]
Calculate the surface area of the can. Area of a circle =
Height = 10cm
Diameter = 7 cm
Please help me thank you!
What is the surface area of the circle?
Answers
The surface area of the can is 220cm².
The height of the can is 10cm, and the diameter is 7cm.
height (h) = 10cm
radius(r) = 7/2 cm
The formula to find the surface area of the can = 2πrh
= 2 × 22/7 × 7/2 × 10
= 220cm²
Therefore the surface area of the can is 220cm².
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HELP PLEASE I GIVE BRAINY IF U ANSWER RIGHT AND IF I CANT READ THAT THERE IS MORE THEN ONE ANSWER U WONT GET ANYTHING
ANSWER BOTH QUESTIONS PLEASE IF U DON'T I WONT GIVE U A THING
Question 1
Which ordered pairs lie on the graph of the exponential equation
f(x) = 25(2.2)^x ?
Select EACH correct answer.
A. (0, 0)
B. (0.5, 37.08)
C. (1, 55)
D. (2, 121)
THE FIRST PICTURE GOES WITH QUESTION 2 ONLY
Question 2
The function f(x) = (3/8)^x is shown on the coordinate plane.
Determine which expressions describe the end behaviors of the function.
Select EACH correct answer.
A. As x increases without bound, the graph of f(x) decreases without bound.
B. As x increases without bound, the graph of f(x) approaches y = 1.
C. As x decreases without bound, the graph of f(x) increases without bound.
D. As x decreases without bound, the graph of f(x) approaches y = 0.
Answers
The ordered pairs lie on the graph of the exponential equation is
(0.5, 37.08) (1, 55) (2, 121)What is exponential equation?Exponents are used in exponential functions, as the name indicates. But take note that an exponential function does not have a constant as its base and a variable as its exponent (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). One of the following forms can be used for an exponential function.
According to its definition, a fundamental exponential function has the formula f(x) = [tex]b^x[/tex], where b is a constant and x is a variable. The exponential function f(x) = [tex]e^x[/tex], where "e" is "Euler's number," and e = 2.718, is one of the most well-known ones. An exponential function may incorporate a constant if we expand the potential of various exponential functions.
Given function:
f(x) = 25 [tex](2.2)^x[/tex]
Now, taking x=0
y = f(x) = 25
and, x=0.5
y= f(x) = 37.08
and, x = 1
y = 55
and, x=2
y = 121
So, the ordered pairs lie on the graph of the exponential equation is
(0.5, 37.08) (1, 55) (2, 121)2. The given function is [tex]f(x)= (3/8)^x[/tex]
Now, as per the graph As x decreases without bound, the graph of f(x) approaches y = 1.
Or, As x decreases without bound, the graph of f(x) increases without bound.
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Which ordered pairs are on the graph of 7x−y=2?
Select ALL that applies.
A. >>(−3,−19)open paren negative 3 comma negative 19 close paren
B. (−1,−9)open paren negative 1 comma negative 9 close paren
C. (0,−2)open paren 0 comma negative 2 close paren
D. (1, 9)(1, 9)
(3, 23)(3, 23)
Answers
The ordered pairs which are on the graph of 7x - y = 2 as required in the task content are; Choices B and C; (-1, -9) and (0, -2).
Which ordered pairs are on the graph of 7x - y = 2 as required in the task content?It follows from the task content that the ordered pairs which are on the graph of 7x - y = 2 be determined.
Hence, by testing each pair as follows; we have;
For (-3, -19); we have; 7(-3) - (-19) = 2; -21 + 19 = 2; -2 ≠ 2. Hence, FALSE.For (-1, -9); we have; 7(-1) - (-9) = 2; -7 + 9 = 2; 2 = 2. Hence, TRUE.For (0, -2); we have; 7(0) - (-2) = 2; 0 + 2 = 2; 2 = 2. Hence, TRUE.For (1, 9); we have; 7(1) - (9) = 2; 7 - 9 = 2; -2 ≠ 2. Hence, FALSE.For (3, 23); we have; 7(3) - (23) = 2; 21 - 23 = 2; -2 ≠ 2. Hence, FALSE.Ultimately, the required ordered pairs are; (-1, -9) and (0, -2).
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Convert the following repeating decimal to a fraction in simplest form. .07
Answers
A box contains 5 reams of paper. How could you estimate the thickness of 2 sheets of paper. One ream is 500 sheets.
Answers
Answer:
If one ream is 500 sheets, then that would mean that two reams combined are 1,000 sheets, and the fact that there are 5 reams is just a random number meant to throw you off.
12x + 5y = -24 13x - 5y = 14 Linear Equations By Elimination
Answers
Let,
[tex]\begin{gathered} 12x+5y=-24\ldots(1) \\ 13x-5y=14\ldots(2) \end{gathered}[/tex]Perform the operation (1)+(2),
[tex]\begin{gathered} 12x+5y+(13x-5y)=-24+(14) \\ 12x+13x+5y-5y=-10 \\ 25x+0y=-10 \\ 25x=-10 \\ x=\frac{-10}{25} \\ x=\frac{-2}{5} \end{gathered}[/tex]Substitute the value of x=-2/5 in the expression (1).
[tex]\begin{gathered} 12\times\frac{-2}{5}+5y=-24 \\ 5y=-24+\frac{24}{5} \\ 5y=\frac{-96}{5} \\ y=\frac{-96}{5\times5} \\ y=\frac{-96}{25} \end{gathered}[/tex]Thus, the value of x is -2/5 and value of y is -96/25.
a) How much time do people in Bhutan spend watching TV each night?
Answers
Answer:
about 2 hours
Step-by-step explanation:
it is the reported average
If a biker travels 380 meters in 20 seconds at that rate how far could he travel in 3 seconds
Answers
I think its 57 meters.
An empty swimming pool is shaped like a rectangular prism with a length of 18 feet and a width of 9 feet. once water begins to be pumped into the pool, the depth of the water increases at a rate of 0.5 foot per hour.
Answers
Answer:
volume=length×width×depth
Step-by-step explanation:
Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in feet) is given by the following. R(θ)=(v0)²sin2θ/32 If v0=80ft/s, what angle θ (in radians) should be used to hit a target on the ground 129 feet in front of the cannon? Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian. (If there is more than one answer, enter additional answers with the "or" button.)
Answers
The angle at which the projectile should be launched to hit the target which is 129 feet away is 7/100π.
The projectile fires with a velocity V₀ and angle of elevation θ, then the horizontal distance is given by the R(θ),
R(θ) = V₀²sin2θ/32
The given function in dependent on theta θ,
The angle at which the projectile must be fired so that it reaches the horizontal distance of 129 feet in front of the cannon,
R(θ) = V₀²sin2θ/32
putting R(θ) equal to 129, V₀ = 80ft/s,
129 = (80)²sin2θ/32
sin2θ = (129 x 32)/(80 x 80)
sin2θ = 0.645
Hence,
θ = 7/100π
so, the projectile should be launched at angle of 7/100π.
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Answer the 4 question in the photo for EASY points ( 20 points )
Answers
The pink ribbon is shortest.
Purple > yellow > silver > pink
2. You are riding your bicycle. It takes you 20 minutes to go 5 miles.
a. Find your average speed per minute.
b.
How long would it take you to cycle 12 miles?
Answers
Answer:
a= one mile in 4 minutes
b =48 minutes
Step-by-step explanation:
A
t = 20 minutes
d = 5 miles
Average speed = distance ÷ time
5 miles÷ 20 minutes
= 1 mile in 4 minutes
= 0.25 miles in 1 minute
B
0.25 miles in 1 minute
12 miles in g minutes
12 miles in 48 minutes
we get this answer because 0.25 in one minute is 1 ÷4
12÷ 12 × 4
12÷ 48
= 12 miles In 48 minutes
What is 0.044444... as a fraction?
Answers
Answer:
0.044444 = 11111/250000
Step-by-step explanation:
[tex]=\frac{44444}{1000000} =\frac{22222}{500000} =\frac{11111}{250000}[/tex]
Hope this helps
10x = 4.444444444444444
. X= 0.444444444444444
4/9.
Based on triangle inequality theorem, what are the restrictions on the values of y
Answers
The restriction on the the values of y of the triangle is 4 < y < 16
How to find the side of a triangle using the triangle inequality theorem?The triangle inequality theorem describes the relationship between the three sides of a triangle.
According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.
Therefore, a triangle x, y and z have the following rule:
x < y + z
y < x + z
z < x + y
Hence, the restriction of the on the values of y, third side of the triangle is as follows:
6 < 10 + y
10 < 6 + y
y < 10 + 6, y < 16
Therefore, the restriction is y > 4 and y < 16.
Hence,
4 < y < 16
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Characterize the slope of the line in the graph,
A. Positive
B. Negative
C. Zero
D. Undefined
Answers
Answer:
D. Undefined
Step-by-step explanation:
[tex]m=[/tex] ∞
Hope this helps
how would i solve this?
Answers
FIRST FIND THE EQUATION OF THE LINE
I WILL USE THE POINTS (-94,24) AND (-54,12)
TO FIND THE GRADIENT
[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{12 - 24}{ - 54 - ( - 94)} \\ m = \frac{ - 24}{ - 54 + 94} \\ m = \frac{ - 24}{40} \\ m = \frac{ - 3}{5} [/tex]
THE m ABOVE IS THE GRADIENT.
I WILL USE THE POINT (-74,18) TO GET THE VALUE OF C IN THE EQUATION Y=MX+C
[tex]15 = \frac{ - 3}{5} ( - 74) + c \\ 15 = \frac{222}{5} + c \\ c = 15 - \frac{222}{5} \\ c = \frac{ - 147}{5} [/tex]
THEREFORE THE EQUATION NOW IS
[tex]y = \frac{ - 3}{5} x - \frac{147}{5} \\
FOR THE X-INTERCEPT Y=0 SINCE IN THR X-AXIS Y=0..PLUG IN 0 IN THE PLACE OF Y TO GET X-INTERCEPT.
[tex] \frac{ - 3}{5} x - \frac{147}{5} = 0 \\ \frac{ - 3}{5} x = \frac{147}{5} \\ x = \frac{147}{5} \div \frac{ - 3}{5} \\ x = - 49[/tex]
(-49,0)
Ron's youth group commits to making a certain number of sandwiches for a local soup
kitchen. They make 132 sandwiches, but then they run out of peanut butter. The group still
has 110 sandwiches left to make to meet their commitment.
Use an equation to find the total number of sandwiches the youth group commits to making.
sandwiches
Answers
Answer:
242 sandwiches
Step-by-step explanation:
The group wants to make x number of sandwiches.
They have already made 132 sandwiches and still have 110 sandwiches to make.
To find the total, you can add these numbers up, because:
132 + 110 = total sandwiches
This way, you get 242 sandwiches
(-5 -5) (10 4), point-slope
Answers
The slope is 5/3, and the point-slope is y = 5(x+2)/3.
Describe point slope.
A linear equation has the general form y-y1=m (x-x1). It highlights the line's slope as well as one of the line's points (that is not the y-intercept).
The formula provided is to find slope, i.e.
m = (y2 - y1) / (x2 - x1) (x2 - x1)
where (-5, -5) for (x1, Y1) and (x2, Y2) (10, 4)
m = (10 + 5) / (4 + 5)
= 15 / 9
= 5 / 3
Now that we have the slope value, we can easily enter it into the supplied equation.
y - y1 = m(x - x1) (x - x1)
y + 5 = 5/3(x + 5)
Upon resolution, we obtain
y = 5x/3 + 10/3
or, y = 5(x + 2)/3
As a result, the slope is 5/3 and the point-slope is y = 5(x+2)/3.
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NEED HELP ASAP - 100 Points (Operations with Polynomials)
In multiple sentences, create your own real-world application problem for either adding or subtracting polynomials. Include a description of how the problem can be solved.
Answers
Answer: Well we can look at whether or not cubes may or may not equal the same by using volume and surface area, where the volume can be used as x^3 and the surface area x^2, but the reason why polynomials can help us a great deal in world problems is whether or not measurements are accurate, or just in general for solving big math equations. Hope this helps.
Given: 4+x=16
What is the value of x?
Need this answered ASAP
Answers
Answer:
To get the answer for X we have to subtract 16 from 4 which gives us 12
X=12
Hope this helps.
Answer:
4+X= 16
X=16-4
X=12
*To find X , you need to minus 16 by four. That is because you have to move (+4) to the other side (change sides,change signs). So (+4) becomes (-4) so 16-4 =12
Is it possible to have a series of true conditional statements that lead to a false
conclusion? Explain.
Answers
It is possible to have a series of true conditional statements that lead to a false conclusion.
How to illustrate the information?Making decisions based on particular situations is made easier with conditional statements.
A conditional statement's truth value can be either true or false. Simply demonstrate that the conclusion is true whenever the hypothesis is true to establish the truth of a conditional.
Simply demonstrating that the conclusion is wrong each time the hypothesis is true suffices to demonstrate that a conditional is untrue.
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PLS HELO IM MARKING BRAINLEIST!!
Answers
∠O ≅ ∠U is third statement which is congruent .
What is congruent triangle?
Two figures are said to be "congruent" if they can be placed perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to having precisely the same form and size.If all three sides of two triangles are the same, they are said to be congruent. If we have a side, an angle between the sides, and then a second side that is congruent, we know they are congruent. In other words, side, angle, side.ΔONP and ΔUTV are congruent .
By using ASA Theorem ,
NP ≅ TV
∠P ≅ ∠V
∠O ≅ ∠U
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Answer:
∠O ≅ ∠U is third statement which is congruent .
Step-by-step explanation:
What is congruent triangle?
Two figures are said to be "congruent" if they can be placed perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other.
Congruent refers to having precisely the same form and size.
If all three sides of two triangles are the same, they are said to be congruent.
If we have a side, an angle between the sides, and then a second side that is congruent, we know they are congruent. In other words, side, angle, side.
ΔONP and ΔUTV are congruent .
By using ASA Theorem ,
NP ≅ TV
∠P ≅ ∠V
∠O ≅ ∠U
BRAINLIST??
Damon drew a scale drawing of a swimming pool. The scale he used was 1 inch : 9 feet. The diving board is 2 inches long in the drawing. How long is the actual diving board?
Answers
Since the scale utilized in the draw is 1 inch : 9 feet and the diving board is 2 inches, we need to multiply the 2 inches by the scale:
[tex]2\cdot9ft=18ft[/tex]The actual diving board is 18ft long
help me 20 points please
Answers
Answer:
Step-by-step explanation:
the one on top is simple it's 120