Answers
Hey there! :-)
First, let's find the slope of the line.
We can do that by using this formula:
Slope=Rise/Run
Where
Rise=how many units we move up
Run=how many units we move left or right.
We move 5 units up and 8 units to the right.
Therefore, the slope is 5/8.
The y-intercept (where the line touches the graph) is -9/8.=
Therefore, the equation of the line is y=5/8x-9/8.
Hope this helps you daughter. Use the comment section to clarify any doubts.
Answered by
~A felicitous teen who helps others with a smile on her face
Good luck.
Answer:
a - y=5/8x - 9/8
Step-by-step explanation:
firstly, work out the gradient between those two coordinates
[tex]gradient = \frac{change \: in \: y}{change \: in \: x} [/tex]
[tex]gradient \: = \frac{ - 3 - 2}{ - 3 - 5} = \frac{ - 5}{ - 8} = \frac{5}{8} [/tex]
now, use formula y=mx+c where y is the y coordinate, m is the gradient, x is the x coordinate and c is the y intercept
use any of the two coordinates in the graph. I'll use (5,2)
[tex]y = mx + c[/tex]
[tex]2 = \frac{5}{8} (5) + c[/tex]
[tex]2 = \frac{25}{8} + c[/tex]
[tex]therefore \: c \: is \: - \frac{9}{8} from \: doing \: 2 - \frac{25}{8} [/tex]
now we have the gradient and y intercept
so the equation is
[tex]y = \frac{5}{8} x - \frac{9}{8} [/tex]
Related Questions
Recently, your parents read in the newspaper that American factory worker jobs have the lowest income ra
What is the best explanation for this fact?
A A factory worker does not need a lot of education
B Companies are relocating factories to other parts of the world.
C Factories are always in poor areas.
D A computer can do the work a factory worker currently does
Answers
Answer:
A. A factory worker does not need a lot of education.
Step-by-step explanation:
The answer is " A " which is a factory worker does not need a lot of education. since most people don't have a PHD degree or anything higher education, it results in a lot of people joining due to the benefit of the factory worker doesn't need a lot of worker which makes it low in demand too.
Tyrone works in a grocery store and he puts boxes on shelves. There are 4 shelves in the cereal section of the store. All shelves hold the same number of boxes of cereal. If there are 80 boxes of cereal on the shelves, how many boxes are on each shelf? In complete sentence
Answers
You have two right triangles that are similar. The base of the first is 8 and the height is 12.
If the base of the second triangle is 22, what is the height of the second triangle?
A. 33 units
B. 26 units
C. 14.7 units
D. 4.4 units
Answers
Let the height be x
[tex]\\ \sf\longmapsto \dfrac{8}{12}=\dfrac{22}{x}[/tex]
[tex]\\ \sf\longmapsto 12x=22(8)[/tex]
[tex]\\ \sf\longmapsto 12x=176[/tex]
[tex]\\ \sf\longmapsto x=14.7units[/tex]
Step-by-step explanation:
X :8/12 = 22/x
x • 12 = 22 • 8
12x = 176
x = 14.7units (C.)
How many pennies dose Michael please help please I need your help please please please please help
Answers
Answer: He has 91, to figure this out count everything in top row which is 13 and then count everything in left row only which is 7 and 13 x 7 is 91
Step-by-step explanation:
if you multiply the number of cars in the parking lot by 4 there would be 32 cars how many cars are in the lot?
Answers
Answer:
8
Step-by-step explanation:
there would be 8 cars in the parking lot
The store Skate4you buys skateboards from a manufacturer at a wholesale price of $57. The store's markup
is 150%. Calculate the amount of markup. What is the retail (selling) price for a skateboard from Skate4you?
Answers
Answer:
$85.50
Step-by-step explanation:
57 x 1.5 = 85.5
Please help me!!!!!!!!!
Answers
Answer:
y=25x+1150
Step-by-step explanation:
1425-1275=150
150/6=25 so 25 dollars per month
1275-5(25)
1275-125=1150
y=25x+1150
I will give u a crown The rectangles below are similar in shape and their sides are proportional. The large rectangle is 42 feet tall and 54 feet wide. The smaller rectangle is 36 feet wide. How tall is the smaller rectangle? *
Answers
Answer:
28ft tall
Step-by-step explanation:
Since they are proportional, you can set up a ratio of length to width.
L/W=L/W
42/54=L/36
L=(42*36)/54
L=28
A CD is on sale for $10.00. The sales tax rate is 6%. How much will the total cost be for the CD
Answers
Answer:
$10.06
Step-by-step explanation:
Tax rate = 6% , convert into 0.06
10 × 0.06 = 0.6
10 + 0.6 = 10.06
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Homework Progress
4735
The length of a rectangle is twice its width.
The perimeter of the rectangle is 41 cm.
Label the diagram with the correct length and width for the rectangle.
cm
cm
Answers
Answer:
Width=6 5/6cm and Length=13 2/3cm
Step-by-step explanation:
Lets have width=x
Therefore, 4x+2x=41cm
6x=41cm
x=41/6=6 5/6
the width is 6 5/6 cm and length 41/3=13 2/3
You buy 3.18 pounds of apples, 1.35 pounds of oranges, and 2.25 pounds of pears. What is your total bill?
Answers
Answer:
6.78
Step-by-step explanation:
Answer:
6.78 pounds
Step-by-step explanation:
Add: 3.18+1.35+2.25=6.78
(If you wanted the cost for the whole thing then you need to include the price for each of the pounds)
what is an equation of the line that passes through points (-7,-5) and (-7,-2)?
Answers
Answer:
I think I've answered this question already.
Step-by-step explanation:
Use the coordinates of the labeled point to find the point-slope equation of
the line.
5
-5
-st
(2,-5)
O A. y + 5 = -4(x - 2)
B. y-2- 4(x-5)
C. y - 2 = -4(x + 5)
D. y + 5 = 4(x - 2)
Answers
The point-slope equation of the line as described by the points is; y + 5 = -4(x - 2).
What is the point-slope equation of the line?The equation of the line given in the task content in the point-slope form can be determined as follows;
Slope = (-5-3)/(2-0) = -8/2 = -4.
Hence, it follows that point-slope form of the equation of the line is; Choice A; A. y + 5 = -4(x - 2).
Read more on point-slope equation;
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what is 9/blank= 4? i really don't know
Answers
Answer:
9/4
Step-by-step explanation:
Answer:
9/2.25 = 4
Step-by-step explanation:
9/x = 4
x = 9/4 or 2.25
PLEASE HELP WILL MARK BRAINLIEST!
Answers
Answer:
Step-by-step explanation:
[tex]12000(1+\frac{.12}{4})^{4*45}=2454040.31463\\=2454040[/tex]
A bag contains 5 milk and 9 dark chocolates.
A sweet is selected at random.
What is the probability of choosing: P(milk)
Answers
Answer:
5/9
Step-by-step explanation:
A squares diagonal is 22. What is the length of each side?
Answers
Answer:
[tex]\sqrt{242}[/tex]
After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the first event, they raise $240, which is 10% of the total amount that they want to raise
Answers
Answer:
Step-by-step explanation:
The total they want to raise is $2,400 if that is what you're asking?
someone help please i don’t want to fail math
Answers
Answer:
Image below!
Step-by-step explanation:
Plotting [tex]\underline{y=2x+3}[/tex]
Step 1: determine the y-intercept
[tex](0,3)[/tex]
plot the point as the first point on the graphStep 2: Move 2 units up, and 1 unit left (keep repeating this process until you have reached the limit of the graph)
Step 3: Go to the other side of the graph of the first point (y-intercept)
move 2 units down, and 1 unit right keep repeating this process until you have reached the limit of the graph)When you've completed this process, it should look like this:
On a recent utility bill, the water/sewer/garbage portion of the bill was $92.43. This consisted of 74% of the total bill. To the nearest cent, what was the total amount of the utility bill?
Answers
Answer:
Step-by-step explanation:
$92.43 / 0.74 = $124.91
The total bill is equal to $124.9
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here, the given bill as 74% of the total bill as $92.43
Thus the total bill must be = 92.43×100/74
= $124.9
Hence, The total bill is equal to $124.9
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Helpppppppp me …………………..
Answers
Answer:
first let's solve for x
x + (x + 30) + 2x = 180
4x + 30 = 180
-30 -30
4x = 150
/4 /4
x = 37.5
Now solve for the angle measures:
(x + 30) = (37.5 + 30) = 67.5
2x = 2(37.5) = 75
x = 37.5
Answer:
X= 37.5
Step-by-step explanation:
solve systems of equations 6x+2y=1 y=-3x+3 using substition??? Need answers quickly!!!!!
Answers
Find the number that makes the ratio equivalent to 9:1
Answer has to end with :8
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Need answer to the question
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Answer:
B) Symmetric property of congruenceStep-by-step explanation:
The angles 1 and 2 are marked as congruent
If a ≅ b, then b ≅ a, this is called the symmetric property of congruence:
The symmetric property states that if one figure is congruent to another, then the second figure is also congruent to the first.Correct choice is B
Answer:
Symmetric property of similarity
Step-by-step explanation:
If a=a then that's reflexive propertyIf a=b and b=c then a=c, transitive propertyI REALLY NEED HELP WITH QUESTION!! URGENTLY!! ANYONE WHO'S GOOD AT MATHS
Answers
Check the picture below.
there are a few angles shaded, I'll call that angle at O ∡O, and that angle at "x" ∡x and the green angle at A, ∡A, and the angle at B, ∡B, just so you know which angle we're referring to.
well, first off let's notice that B and C are points of tangency, meaning we get right-angles as you see in the picture, if we run an angle bisector from ∡x, towards point O, we get two congruent triangles, lemme shorten that up some, 90 + 90 + ∡O +∡x = 360, which means that ∡O + ∡x = 180, meaning that ∡O = 180 - ∡x, if that's so, the angle at point O across the shade, is 360 - ∡O or 360 - (180 - ∡x).
alrighty, by the inscribed angle theorem, ∡A is half of ∡O.
let's now focus on the triangle AOB, we'll be using half of ∡A and half of ∡O and ∡B on that triangle, let's proceed.
[tex]\measuredangle x + \measuredangle O=180\implies \measuredangle O=180-\measuredangle x \\\\\\ \measuredangle A = \cfrac{\measuredangle O}{2}\implies \measuredangle A = \cfrac{180-\measuredangle x}{2} \\\\\\ \stackrel{\textit{the angle across from }\measuredangle O~is}{360-\measuredangle O}\implies 360-(180 - \measuredangle x)\implies 180+\measuredangle x \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\large the sum of all three angles at }\triangle AOB}{\stackrel{\textit{half of }\measuredangle A}{\cfrac{1}{2}\cdot \cfrac{180-\measuredangle x}{2}}~~ + ~~\stackrel{\textit{half the angle across from }\measuredangle O}{\cfrac{180+\measuredangle x}{2}}~~ +~~\measuredangle B~~ =~~180} \\\\\\ \cfrac{180-\measuredangle x}{4}+\cfrac{180+\measuredangle x}{2}+\measuredangle B = 180[/tex]
now, let's multiply both sides by the LCD of all denominators, hmmmm in this case that'll be 4, so multiplying both sides by the LCD will do away with the denominators, so let's do so.
[tex]4\left( \cfrac{180-\measuredangle x}{4}+\cfrac{180+\measuredangle x}{2}+\measuredangle B \right) = 4(180) \\\\\\ (180-\measuredangle x)+2(180+\measuredangle x)+4\measuredangle B = 720 \\\\\\ (180-\measuredangle x)+(360+2\measuredangle x)+4\measuredangle B = 720\implies 540+\measuredangle x+4\measuredangle B = 720[/tex]
[tex]\measuredangle x+4\measuredangle B = 180\implies 4\measuredangle B = 180-\measuredangle x\implies \measuredangle B = \cfrac{180-\measuredangle x}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \measuredangle B = 45 - \cfrac{\measuredangle x}{4}~\hfill[/tex]
I want a way to solve such a problem
Answers
Answer:
11.2
Step-by-step explanation:
For the following equation, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the equation. Be sure to include at least two terms from the word bank. 4+ x = 7
Answers
Answer:
x=33
Step-by-step explanation:
you move the 4 to the other side
x=7-4
so
x=3
Answer:
x=3
Step-by-step explanation:
This should be easy.
4+x=7
-4 -4
x=7-4
x=3
Word explanation:
Here, we're solving for the variable x, first, we need to isolate x and therefore subtract 4 on both sides, 7 minus 4 is 3, so x is equal to 3.
A graph, a table and equation are shown below. Please help!
Answers
Answer:
A) slope is 1
B) Slope is 3
C) slope is 0.5
Step-by-step explanation:
Using Rise over run method and mx+b
Find an equation of the line having the given slope and containing the given point. Slope 7 through (6,3)
Answers
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{3})~\hspace{10em} \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{7}(x-\stackrel{x_1}{6}) \\\\\\ y-3=7x-42\implies y = 7x-39[/tex]
Answer:
[tex]y-3=7(x-6)[/tex]
Step-by-step explanation:
Pre-SolvingWe are given that a line has a slope (m) of 7 and passes through the point (6,3).
We want to write the equation of this line.
There are three ways to do it:
Slope-intercept form, which is y=mx+b where m is the slope and b is the value of y at the y-intercept.Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and [tex](x_1,y_1)[/tex] is a point. Standard form, which is ax+by=c where a, b, and c are free integer coefficients.As the question doesn't specify, either form should work, but let's write the equation in point-slope form as that's the easiest to do.
SolvingAs we are already given both the point and the slope, we can plug them both into the equation.
Starting with the slope, substitute 7 for m.
[tex]y-y_1=7(x-x_1)[/tex]
Now, substitute 6 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex].
[tex]y-3=7(x-6)[/tex]
Suppose ΔDEF has an exterior angle at vertex D. The measure of the exterior angle is (8x−2)º, m∠E=(3x−8)°, and m∠F=(4x+13)°. What is the measure of the exterior angle at vertex D?
A. 7°
B. 13°
C. 41°
D. 54°
Answers
The measure of the exterior angle at vertex D is: D. 54°
Recall:
The exterior angle theorem of a triangle states that the measure of an exterior angle equals the sum of the measures of two opposite interior angles of the triangle.Thus:
In ΔDEF, (8x−2)º is an exterior angle at vertex D.
m∠E = (3x−8)° (interior angle)
m∠F = (4x+13)° (interior angle)
Therefore:
(8x−2)º = (3x−8)° + (4x+13)°
Solve for x8x - 2 = 3x - 8 + 4x + 13
Combine like terms8x - 2 = 7x + 5
8x - 7x = 2 + 5
x = 7
Exterior angle at vertex D = (8x−2)º
Plug in the value of x= 8(7) - 2
= 54º (option D)
Learn more about exterior angle theorem on:
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