What is the equation of the line that passes through the point (-1, 5) and
has a slope of -3?
Answer:
Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.
Since slope is -3, equation is y = -3x + c.
Substitute point (-1,5) into equation to find c.
5 = -3(-1) + c
c = 2
Hence, equation of line is y = -3x + 2
3 5/11 s a decimal exspansion
By rational number algebra, the mixed number 3 5 / 11 is equivalent to the decimal expansion 3.[tex]\overline {45}[/tex].
How to transform a mixed number into a decimal number
According to the statement, we find a mixed number, that is, a notation to represent rational numbers that combines both integers and fractions. The procedure to obtain the decimal form of a mixed number is:
Transform the mixed number into a single rational number by using the following formula:Then, the decimal expansion of the mixed number 3 5 / 11 is:
3 5 / 11 = (3 · 11) / 11 + 5 / 11 = 33 / 11 + 5 / 11 = 38 / 11 = 3.[tex]\overline {45}[/tex]
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Complete each statement from the information given and state the reasons and the triangle criterion you used
[tex]\angle TIG \cong \angle AIN[/tex] by vertical angles, so [tex]\triangle TIG \cong \triangle NIA[/tex] by SAS.
Can someone help me with this?
From the function table and verbal description of the two functions, we can say that; Function 2 has a greater y-intercept
How to interpret the y-intercept?
The y -intercept of a graph is the point where the graph crosses the y -axis. Now, due to the fact that a function must pass the vertical line test , it means that a function can have at most one y -intercept .
The y -intercept is often referred to with just the y -value.
Now, we are told given table representing function1 which is an exponential function and we can see the x and y-values. Now, the y-intercept occurs when x = 0 and in this case, at x = 0, y = 20. Thus, the y-intercept of function 1 is 20.
Now, for the second function, we are told that it has 15 pitches but that it crosses the vertical axis at y = 22. Thus, from, y-intercept definition, we can say that the y-intercept of function 1 is 22.
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Rational or Irrational
Answer:
rational : improper fractions,
mixed numbers
decimals that either ternimate or repeat,
irrational : decimals that do not terminate or repeat,
negative integers
Joven's scores in five of his quizzes in mathematics are 85, 88, 95, 86, and 92. if he needs an average quiz grade of 90 to be able to maintain his required grade for his scholarship, what score must he get for his sixth quiz?
Answer:
If, he got 94 marks for his sixth quiz, then, he will be able to maintain his required grade for his scholarship.
Step-by-step explanation:
given-
Joven's scores in five of his quizzes in mathematics are 85, 88, 95, 86, and 92.
let, the x score he gets for his sixth quiz.
then, he will be able to maintain his required grade for his scholarship.
he needs an average quiz grade of 90 to maintain his required grade for his scholarship.
according to the question--
using the formula of average=>
(85+88+95+86+92+x)/6=90
=>x=540-446
=>x=94
if, he got 94 marks for his sixth quiz, then, he will be able to maintain his required grade for his scholarship.
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Allen decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he need
a researcher conducts a study and finds that the difference between the population mean (μ) and the sample mean (m) is 4, the sample size (n) is 36, and the standard deviation of the population (σ) is 3.5. what is the value of cohen's d?
The value of cohen's d based on the population and the deviation given is 1.14.
How to calculate the value?It should be noted that based on the information, the researcher conducts a study and finds that the difference between the population mean (μ) and the sample mean (m) is 4, the sample size (n) is 36, and the standard deviation of the population (σ) is 3.5.
Sample mean = 4
Sample size = 36
Standard deviation = 3.5
Cohen D = Sample mean / Standard deviation
= 4 / 3.5
= 1.14
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There are 2 different maps of North Carolina. The scale on the first map is 1 cm to 2 km. The distance from Durham to Cary is 15 cm. The scale of the second map is 1 cm to 5 km. What is the distance from Durham to Cary on the second map
Two separate maps exist for North Carolina. The first map has a scale of 1 cm to 2 km. Durham and Cary are separated by 15 cm. The second map has a scale of 1 cm to 5 km. On the second map, the separation between Durham and Cary is 18 cm.
What do you mean by distance?The measurement of the distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to physical length or an assumption based on other factors (e.g. the "two counties over"). Given that spatial thinking is rich source of conceptual metaphors in human thought, the term is also frequently used metaphorically to denote a measure of the degree of separation or statistical distance between two similar objects (such as edit distance between strings of text or probability distributions) (as exemplified by distance between people in a social network). A metric space is mathematical concept that is used to define the majority of these conceptions of distance, both literal and figurative.
In social sciences, distance can refer to a qualitative measurement of separation, such as social distance or psychological distance.
if
1cm to 2km map= 15cm distance
1cm to 5km map= 15+3cm distance
= 18cm
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Use digits and symbols to write ''The product of one and two is less than the sum of one and two''
Answer:
1 + 3 < 1 · 2
Step-by-step explanation:
Which statement is true about the graph of the line whose equation is y = 8?
Answer:
A. the line is parallel to the x axis
Step-by-step explanation:
B is incorrect because it will be intersecting the y axis therefore not being parallel
C is incorrect because It doesn't pass through the origin (origin is (0, 0) btw) it actually passes thru the point (0, 8) so this choice is wrong
D is incorrect because It doesn't give us enough info that the slope is 8 so we can't tell. Also if y = 8 it will just be a straight line so the slope will actually be 0 im pretty sure
A is correct because it is parallel if y = 8 and x axis kept going in a straight line they will never touch so that means it it parallel
if f(x)=x^2, what is g(x)? the graph shows the points: (1, -1), (-1,3), (-3,-1)?
IMAGE OF QUESTION
ANSWER
[tex]g(x)=-(x+1)^2+3[/tex]EXPLANATION
We have that the function graphed g(x) is a transformation of:
[tex]f(x)=x^2[/tex]When the parent quadratic function f(x) is transformed, it takes the following form:
[tex]g(x)=a(x-h)^2+k[/tex]This form also represents the vertex form of a quadratic equation, where (h, k) is the vertex of the function.
This means that we can find the function by using the vertex of the function.
The vertex of a function is the maximum or minimum value of the function; from the given graph, it is a maximum value and it is located at:
[tex](h,k)=(-1,3)[/tex]Therefore, we can input this into the vertex form of the function:
[tex]\begin{gathered} g(x)=a(x-(-1))^2+3 \\ g(x)=a(x+1)^2+3 \end{gathered}[/tex]Now, we have to find the value of a. To do this, pick any coordinate point from the graph and input it into the function above.
Let us pick:
[tex](0,2)[/tex]Therefore, we have:
[tex]\begin{gathered} 2=a(0+1)^2+3 \\ 2=a\cdot1+3 \\ 2=a+3 \\ \Rightarrow a=2-3 \\ a=-1 \end{gathered}[/tex]Therefore, the function graphed above is:
[tex]g(x)=-(x+1)^2+3[/tex]the question is in the picture
Given
[tex]S=\mleft\lbrace1,2,3,4,5,6,7,8,9\mright\rbrace[/tex]by selecting two numbers from S, the number of possible outcomes is
[tex]n(S)=9\times9=81[/tex]Let E be the event that selecting two numbers randomly and their sum is 12 with replacement.
[tex]E=\lbrack(3,9),(4,8),(5,7),(6,6),(7,5),(8,4),(9,3)\}[/tex][tex]n(E)=7[/tex]The probability is
[tex]P(E)=\frac{n(E)}{n(S)}[/tex]Substitute values, we get
h is
[tex]P(E)=\frac{7}{81}[/tex]b)without replacement
Areplacementout
[tex]A=\mleft\lbrace(3,9\mright),(4,8),(5,7),(7,5),(8,4),(9,3)\}[/tex][tex]n(A)=6[/tex][tex]P(A)=\frac{n(A)}{n(S)}[/tex]Substitute the values, we get
[tex]P(A)=\frac{6}{81}=\frac{2}{27}[/tex]The probability that the sum is 12 if selecting two numbers without replacement
[tex]P(A)=\frac{2}{27}[/tex]What is the measure of
Answer:
180-90=90
90-x=6x+40
90-40=6x+x
30=7x
x=4.28
input x:
6(4.28)+40
=60.71
I’m struggling with my guided notes practice questions
The shaded angles in the given diagram can be named as:
1. ∠ABC; ∠1; and ∠B.
2. ∠JKM; ∠2; ∠K.
3. ∠CBJ ≅ ∠DHG
4. ∠FJH ≅ ∠AJB
5. m∠JAB = 75°.
6. m∠JBC = 130°.
How to Name an Angle?We can name a given angle by:
Using the three letters that form the angle, i.e. ∠ABC.Naming the angle using numbers, i.e. ∠1By using the letter of the vertex of the angle only, i.e. ∠B.1. The three angles can be named as:
Angle ABC or ∠ABC
Angle 1 or ∠1
Angle ∠B or ∠B.
2. The shaded angle can be named as:
Angle JKM or ∠JKM
Angle 2 or ∠2
Angle ∠K or ∠K.
Two angles with the same marks on a diagram are congruent to each other. Therefore:
3. ∠CBJ ≅ ∠DHG
4. ∠FJH ≅ ∠AJB
Angles that are congruent to each other have the equal angle measure, therefore:
5. ∠EFD ≅ ∠JAB
Therefore, If m∠EFD = 75°, then m∠JAB = 75°.
6. ∠GHF ≅ ∠JBC
Therefore, If m∠GHF = 130°, then m∠JBC = 130°.
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Mark wants to buy a new laptop that costs $699. He earns $65 for mowing lawns. What
is the minimum number of lawns he can mow to have enough money to buy the laptop?
Answer:
11 lawns
Step-by-step explanation:
$65 × 10 = $650
$695 - $650 = $45
So Mark will need to mow at least 11 lawns.
Dilate point D by a scale factor of 3.
Answer:
according to the image, it looks like you would move 6 more points to the right, but i might be wrong.
Step-by-step explanation:
If the point that you are dilating is directly above the point of dilation and you are dilating by 3, you take the distance from the point of dilation and the point you are dilating and you multiply it by 3.
pls help me solve these questions, i have no clue where to start
For given proof the missing statements are:
14 : NA + AL = NA + BM
15 : NL = NM
16 : Addition postulate of equality
In this question, we have been given a proof.
We need to write missing statements or reasons of the given proof.
We have been given NL ≅ NM and AL ≅ BM
We need to prove NA ≅ NB
1) NL ≅ NM; AL ≅ BM ................(Given)
2) NL = NA + AL and
NM = NB + BM ...........(Segment Addition Postulate)
3) NA + AL = NA + BM ...........(Subatitution)
4) NA + BM = NB + BM ..............(NL = NM)
5) NA = NB ............(Addition postulate of equality)
Therefore, for given proof the missing statements are:
14 : NA + AL = NA + BM
15 : NL = NM
16 : Addition postulate of equality
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A plane flew at a constant speed between Boston and Philadelphia. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is d=350t. How long will it take the airplane to travel 280 miles?
The time it take for the plane to travel at 280 miles is 0.8 hours.
How to find the time it will take the plane to cover a distance?The plane flew at a constant speed between Boston and Philadelphia.
An equation relating the distance travelled in miles, d, to the number of hours flying, t, is d = 350t.
Therefore,
d = 350t
where
t = time travelledd = distanceTherefore, let's find the time it will take to travel for 280 miles
d = 350t
d = 350 × t
280 = 350t
divide both sides by 350
t = 280 / 350
t = 0.8 hours
Therefore,
the time it will take to travel = 0.8 hours
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need help on this, thanks
Answer:
x=15, y=7
Step-by-step explanation:
Angles that form a linear pair are supplementary, so:
[tex]2(5x-5)+3x-5=180 \\ \\ 10x-10+3x-5=180 \\ \\ 13x-15=180 \\ \\ 13x=195 \\ \\ x=15 \\ \\ \\ \\ 5y+5+20y=180 \\ \\ 25y+5=180 \\ \\ 25y=175 \\ \\ y=7[/tex]
Answer:
[tex]x=\boxed{15}\\\\y=\boxed{7}[/tex]
Step-by-step explanation:
Angles on a Straight Line Theorem
The sum of angles on a straight line is equal to 180°.
Solving for x:
[tex]\boxed{\begin{aligned}2(5x-5)^{\circ}+(3x-5)^{\circ}&=180^{\circ}\\2(5x-5)+(3x-5)&=180\\10x-10+3x-5&=180\\13x-15&=180\\13x-15+15&=180+15\\13x&=195\\13x \div 13 &=195\div 13 \\x&=15\end{aligned}}[/tex]
Solving for y:
[tex]\boxed{\begin{aligned}(5y+5)^{\circ}+20y^{\circ}&=180^{\circ}\\(5y+5)+20y&=180\\5y+5+20y&=180\\25y+5&=180\\25y+5-5&=180-5\\25y&=175\\25y \div 25 &=175\div 25 \\y&=7\end{aligned}}[/tex]
Therefore:
[tex]x=\boxed{15}\\\\y=\boxed{7}[/tex]
Segment BD bisects ZABC. Solve for 2. Round to the nearest tenth, if necessary.
(Image not necessarily to scale.)
Answer:
x = 10.5 units=================================
Angle bisector theorem:
An angle bisector of a triangle divides the opposite side into two proportional parts as the two sides of same angle.Applying to the given triangle:
AB / BC = AD / DC, orx / 14 = 6 / 8Solve it for x:
x = 14*6/8x = 10.5anyone boredddddddddddd?
Answer:
gay
Step-by-step explanation:
gay gay gay gay gay gay
Answer: i am
Step-by-step explanation:Black parents
Pls help with this question
Answer:
3
Step-by-step explanation:
[tex]4x^6 y^3 - 3x^6 y^3 + 2x^2 y^2 - x^6 y^3 - x^2 y^2 +y \\ \\ =x^2 y^2+y \\ \\ =(-2)^2 (-1)^2 -1 \\ \\ =4-1 \\ \\ =3[/tex]
If ACDE were reflected across the line y = x, what would be the coordinates of AC'D'E?
Answer: D
Step-by-step explanation:
Reflecting over the line y=x means [tex](x,y) \longrightarrow (y,x)[/tex].
[tex]C(1, -5) \longrightarrow C'(-5, 1)\\\\D(8, -2) \longrightarrow D'(-2, 8)\\\\E(7, -6) \longrightarrow E'(-6, 7)[/tex]
Julia had pizza delivered. Julia tips $5 for deliveries or 10% of the purchase, whichever is higher. The pizza delivered cost $35.50.
How much will Julia tip?
10% of $35.50 = 0.10*35.50 = 3.55
If Julia goes with the 10% option, then she will tip $3.55
But she instead goes with the $5 tip because it's the larger of the two options. If the result of 10% of $35.50 was larger than 5, then she'd go with the 10% option instead.
Answer: $5The two legs of a right triangle are 9 and 7. Find the hypothesis of the triangle. Draw a Picture! Leave your answer in radical form.
The value of the hypotheses of the right angled triangle is found as √130.
What is meant by the right angled triangle?A right triangle is one in which one of interior angles is 90°. The hypotenuse is the longest side of the right triangle and also the side opposite this same right angle, while the height and base are the two arms of the right angle.In a right triangle, the right angle always has the largest.The longest side is the hypotenuse, which is the side opposite this same right angle.For the given right angled triangle,
The two side legs are given as 7 and 9.
By the Pythagorean theorem;
H² = P² + B²
Put the values;
H² = 7² + 9²
Simplifying;
H² = 49 + 81
H² = 130
Taking square root both sides.
H = √130
Thus, the value of the hypotheses of the right angled triangle is found as √130.
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Gigi makes a scale drawing of a patio the drawing below shows the two scales she used to plan two patios of different sizes
Gigi makes a scale drawing of a patio the drawing, The two scales are
Scale 1 is defined as 35ft by 25ft Scale 2 is defined as 56 ft by 40 ftThis is further explained below.
What are dimensions?Generally, In mathematics, a dimension is a measurement that may be taken in one direction to determine the size or distance of an item, area, or space.
To put it another way, it is the process of determining the dimensions of anything by calculating its length, breadth, and height.
Actual ratio measurements with a scale of 1
For the Lenght
Length=7 cm
Length =7*5
Lenght=35 ft
Width=5 cm
Width=5*5
Width=25 ft
Therefore
The dimensions are 35 ft by 25 ft
Find the actual dimensions of a ratio with the scale 2
A scale of 2 is equal to
1 cm/8 ft
For Length=7 cm
L=7*8
L=56 ft
For Width=5 cm
W=5*8
W=40 ft
In conclusion, The dimensions are 56ft by 40f
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5 to the second power x [7 - 3] divided by 5
Answer:
Answer is 20 :).........
What is the image of the point (-6,4) after a rotation of 180° counterclockwise about the origin?
By using the rotation formula, the image of the point (- 6, 4) after rotating 180° counterclockwise about the origin is equal to point (6, - 4).
How to determine the image of a point by using rotation rule about the origin
In this problem we find the coordinates of the image, which is the result of rotating a point 180° counterclockwise (+ 180°) about the origin. Let be P(x, y) = (x, y) the coordinates of the point set on Cartesian plane, then the coordinates of the image are defined by the following expression:
P'(x, y) = (x · cos θ - y · sin θ, x · sin θ + y · cos θ)
Where θ is the angle of rotation, in degrees.
If we know that P(x, y) = (- 6, 4) and θ = 180°, then the coordinates of the image are, respectively:
P'(x, y) = (- 6 · cos 180° - 4 · sin 180°, - 6 · sin 180° + 4 · cos 180°)
P'(x, y) = (6, - 4)
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Graph the line that represents a proportional relationship between d and t with the property
that an increase of 5 units in t corresponds to an increase of 8 units in d.
What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will
correspond to a change of how many units in d?)
The unit rate is
Graph the relationship.
-9-8
9
8-
7+
6-
5
44
3
2
1
+2+
-3-
-4+
-5-
-6-
-7
-8-
-9-
The proportional linear equation relationship has a unit rate of 1.6
How to plot the graph the line of the relationship?From the question, we have the statement to be:
The relationship between d and t is a proportional relationship An increase of 5 units in t causes an increase of 8 units in d.The above means that
5 * t = 8* d
Evaluate the products
So, we have the following equation
5t = 8d
Divide both sides of the equation by 5
So, we have the following equation
t = 1.6d
Next, we plot the graph of the equation
See attachment for the graph of the equation t = 1.6d
Also, we have
t = 1.6d
The above equation is a proportional linear equation
A proportional linear equation is represented as
t = md
Where m represents the unit rate
So, we have
m =1.6
Hence, the unit rate of the relationship is 1.6
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