what is the equation of the line passing through the points (-4,-7) and (8,-13)
Answer:
y=5/3x-79/7
Step-by-step explanation:
(-4, -7)
x1 y1
(8,-13)
x2 y2
y2-y1/x2-x1=
13+7/8+4= 20/12= 10/6= 5/3
y=5/3x+b
-7=5/3(-4)+b
The equation of a line passing through the points (-4,-7) and (8,-13) will be x + 2y + 18 = 0.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The given points are (-4,-7) and (8,-13).
Then the equation of a line passing through the points (-4,-7) and (8,-13) will be
[tex]\begin{aligned} y + 13 &= \dfrac{-13+7}{8+4} (x - 8)\\\\y + 13 &= - \dfrac{1}{2} (x - 8)\\\\2y + 26 &= -x + 8\\\\x + 2y + 18 &= 0 \end{aligned}[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
Is 2/3 less than 2/8
Answer:
No
Step-by-step explanation:
If there is 2 pizzas and one i cut in tree slices and the other is cut in eight slices the 8 slices are goind to be smaller. Hope this helps
I need help yo!! I probably know who’s gonna answer l m a o
Answer:
1
Step-by-step explanation:
12 divided by 4 = 3
3 divided by 3 = 1
1/4
Use the geometric mean (altitude) theorem. What is the
value of m?
4
2/7
4/10
160
Answer:
[tex] \red{ \bold{ m = 4 \sqrt{10}}} [/tex]
Step-by-step explanation:
By geometric mean theorem:
[tex]m = \sqrt{8 \times 20} \\ \\ m = \sqrt{160} \\ \\ m = \sqrt{16 \times 10} \\ \\ m = \sqrt{ {4}^{2} \times 10} \\ \\\huge \red{ \bold{ m = 4 \sqrt{10}}} \\ \\ [/tex]
Give the ratio for tangent (0) in decimal form to 4 digits.
13
4
7.
Answer:
0.5714
Step-by-step explanation:
tan theta = perpendicular upon base that is P/B
P= 4
B= 7
P/B = 4/7 = 0.5714
Two teachers purchase supplies for their classrooms.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
Each journal costs the same, and each pencil costs the same.
Answer:
Cost of One Journal = $3.99
Cost of One pen = $0.59
Step-by-step explanation:
Let
Cost of One Journal = x
Cost of One pen = y
We can make equation from given statements.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
[tex]18x+40y=95.42[/tex]
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
[tex]11x+16y=53.33[/tex]
Now solving these equations to find the value of x
[tex]18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)[/tex]
Multiply eq(1) with 2 and eq(2) with 5
[tex]36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\[/tex]
We get the value of x is: x=3.99
Now, putting value of x in equation 1 to find value of y.
[tex]18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59[/tex]
So, we get the value of y: y = 0.59
Now, finding the costs:
Cost of One Journal = x = $3.99
Cost of One pen = y = $0.59
The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?
Answer:
14ft
Step-by-step explanation:
Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.
(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)
Hope this helps :D
help due in 30 min!!!!!!!!!!!!!!!
Answer:
They have the same slope
Step-by-step explanation:
slope=4
4(-3)(-2)
How do
I do this?
Answer:
4(-3)(-2) = 24
Step-by-step explanation:
first solve the numbers in parenthesis.
4(-3)(-2)
= 4(6)
the negative sign cancels out in the product, because both of the numbers you multiplied are negative, which makes the product positive.
now solve for 4(6).
4(6) = 24
All rectangles are _____.
parallelograms
rhombuses
squares
quadrilaterals
All rectangles are parallelograms
please help look at picture
Answer:
15 cm
Step-by-step explanation:
Answer:
its C 30cm
Step-by-step explanation:
I multiplied 6x5=30
help pls I need help
The graph shows the reciprocal parent function.
Which statement is true?
A. The function has no intercepts.
B. (1,1) is the x- and y-intercept of the function.
C. (0,0) is the x- and y-intercept of the function.
D. (0,1) is the x- and y-intercept of the function.
Answer:
A
Step-by-step explanation:
Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what proportion of 500 ml bottles are underfilled. She wants the margin of error to be no more than 4% at 90% confidence. What is the smallest sample size required to obtain the desired margin of error?
a) 271
b) 423
c) 651
d) 888
Answer:
Sample size is [tex]n=423[/tex]
Step-by-step explanation:
Given that,
Margin of error [tex]=4[/tex]%
Confidence level [tex]=90[/tex]%
Suppose, sample proportion[tex]=0.5[/tex]
i.e. [tex]\hat{P}=0.5[/tex]
We know that,
Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]
∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]
[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]
[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]
[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]
squaring on both side,
∴ [tex]n=423.1249[/tex]
Hence, the sample size is,
[tex]n=423[/tex]
Hence, the correct option is [tex](b).[/tex]
Answer:
423
Step-by-step explanation:
A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount. What is the total recommended daily amount of sodium?
Answer:
2,407mg of sodium is the recommended daily amount
Step-by-step explanation:
Using the cross multiplication you will get the answer.
1. make the problem as a fraction [tex]\frac{2070}{x} =\frac{86}{100}[/tex]
2. Cross multiply (2070*100=86*x)
3. Simplify the equation left. 207000 = 86x
2407 ≈ x (Divide both sides by 86)
what is 2:10 as a percentage
Answer:
20%
Step-by-step explanation:
2:10 = 2/10. 2/10 = 20/100, which equals 20%.
1. Line L passes through point (-1, 2) and (-3,-2) on a coordinate plane. Line
M passes through the points (1.1) and (-1, W). For what value of W will make
line L and line M parallel.
Answer:
Slope of a line passing through ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2} , y_{2}[/tex]) is given by:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Now,
Slope of line L, (m) = [tex]\frac{-3-(-1)}{-2-2}[/tex] = 0.5
Slope of line M, (n) = [tex]\frac{-1-1}{W-1}[/tex] = [tex]\frac{-2}{W-1}[/tex]
If the lines L and M are parallel to each other,
m = n
or, 0.5 = [tex]\frac{-2}{W-1}[/tex]
or, 0.5 (W - 1) = -2
or, W - 1 = -4
or, W = -3
Therefore the required value of W is -3.
Which property would you use to find an equivalent expression for 9 x 10?
Answer:multiplication property of equality
Step-by-step explanation:
please answer asap!!!!!
Answer:
Angle E, Angle G, Angle F
Step-by-step explanation:
There is a theorem (forget the name) that says if the side opposite to is is larger, then its angle measure is larger. So here they are from smallest to largest. Angle E, Angle G, Angle F
Answer:
m<E < m<G < m<F
Step-by-step explanation:
it is a 30,60,90 Triangle E = 30, G = 60 and F = 90
Estimate the quotient 19 4/5 • 4 5/8
Answer:
-0.1692
Step-by-step explanation:
use your cakculator
given the function f(x)=5x-3/4,which of the following is correct?
Answer:
3) [tex]f^{-1}(x)=\frac{4x+3}{5}[/tex]
Other than itself, which angle is congruent to
(PLEASE HELP ILL REWARD)
Answer:
The answer is <GBH
Step-by-step explanation:
ITS because its relation is vertically opposite angle
Can someone give me a 6 digit number stating with 4? I need this number for a project. Also it needs to be a random number.
Answer:
406789
Step-by-step explanation:
An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.
After how many seconds does he reach the water?
What domain makes sense for this scenario?
Answer:
-4.9x²+75x=-4.9x+50x+38
75x=50x+38
25x=38
x=1.52
1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters
Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.
102.7 meter.
Step-by-step explanation:
can someone help me please, i’ll give brainly. (10 points)
Answer:
Gradient of Line A: 0.75
Gradient of Line B: 0.8
Therefore the lines ARE NOT parallel.
Step-by-step explanation:
Find the gradient (slope) of line A and B respectively.
Line A Gradient:
Equation of line A is 3x - 4y = 5
Rewrite this in slope-intercept form as y = mx + b, where m is the gradient (slope).
Thus,
3x - 4y - 3x = -3x + 5
-4y = -3x + 5
Divide both sides by -4
y = ¾x + ⁵/4
The gradient = ¾ = 0.75
Line B Gradient:
Gradient of line passing through (4, 7) and (-1, 3)
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 7}{-1 - 4} = \frac{-4}{-5} = \frac{4}{5} [/tex]
Gradient (m) = ⅘ = 0.8
Since both lines do not have the same gradient, therefore the lines are not parallel.
Solve: 33 + 27 ÷ 9 + (30 ÷ 5)
Answer:
42
Step-by-step explanation:
You need to follow P--E--M--D--A--S
A X U I A U
R P L V D B
E O T I D T
N N I T I R
T E P I T A
H N L O I C
E T I N O T
S S C N I
I A O
S T N
I
O
N
Are the following triangles similar to each other? If so, why?
Yes the are simailer because of SSS
1. You notice that you only have 13 pound of cheese and 34 cup of milk. How much
more cheese and milk will you need to get?
2. What if the store only sells the cheese in 1-pound packages and the milk in 4-cup Cartoons? How many of each would u need to buy, and how much would you have left over?
3. Now you decide to mix the dry mustard and salt ahead of time to make a seasoning mix. Add the two ingredients to show how much of the seasoning mix you have.
Answer:
Yoyo
Step-by-step explanation:
A phone company charges for service according to the formula: C ( n ) = 29 + 0.04 n , where n is the number of minutes talked, and C is the monthly charge, in dollars. The slope in this equation is: ____________
The vertical intercept in this equation is: _____________
Hello!
Answer:Slope = 0.004
Vertical Intercept = 29.
Explanation:Basically, you can rearrange this equation so that is in the form of y = mx + b.
y = mx + b
C(n) = 0.04n + 29
The slope represents the rate of change of the cost per minute talked, and the 29 (vertical intercept) represents the monthly fee. The monthly fee will stay the same, however, the number of minutes talked is susceptible to change, hence the variable n represents it.
Can someone help? Pls
9514 1404 393
Answer:
[tex]y-0=\dfrac{1}{2}(x -(-2))[/tex]
Step-by-step explanation:
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
For m = 1/2 and (h, k) = (-2, 0), the equation is ...
y - 0 = 1/2(x -(-2))