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makkiz [27]
3 years ago
5

The equation of line c is y–5=

Mathematics
2 answers:
Paraphin [41]3 years ago
8 0

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the "c" equation

y-5=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{5}}(x-7)\qquad \impliedby \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}

so line "d" is a line with a slope of 3/5 and passes through (1,-1)

(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{5} \\\\\\ \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}{(-1)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{1})\implies y+1=\cfrac{3}{5}(x-1) \\\\\\ y+1=\cfrac{3}{5}x-\cfrac{3}{5}\implies y=\cfrac{3}{5}x-\cfrac{3}{5}-1\implies y=\cfrac{3}{5}x-\cfrac{8}{5}

Fiesta28 [93]3 years ago
8 0

Answer:

y + 1 = (3/5)(x - 1)

Step-by-step explanation:

This is point-slope formula. It is super useful bc you can just fill in a point and the slope to make an equation of a line.

y - y = m(x - x)

Fill in the slope in place of the m.

Fill in the (x, y) given into the SECOND spot y and x .

Your equation had 3/5 in the m spot (that'sslope!) Swipe that and stick it in your equation.

Then they gave you a point (1, -1) that is the (x, y) you need to complete the equation.

The first y stays a y, dont fill in a number there. And the first x stays an x dont fill in a number there either.

Fill in second y, m and second x, and done! Its literally a fill in the blank question!

y + 1 = 3/5 (x - 1)

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MissTica
This is the concept of inequality;
We are told that the distance a car travels depends on how full gas tank is, this means that the car will travel until the point when gasoline is finished. Thus,
This mean that if the if the distance is given by the function f(x), x will be the gasoline since it is the dependent variable, liters this in other words can be written as (if the tank holds 89 ):

f(x)=distance(gasoline)<89

thus the correct answer will be:

B] Distance (amount of gasoline) <  89

4 0
3 years ago
Can someone help me with this problem://
fiasKO [112]

You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).

Multiply by 12

... 4(x -1) +3(x +5) = 6

... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses

... 7x +11 = 6 . . . . . . . . . . . .collect terms

... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11

... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient

_ _ _ _ _ _ _

Here it is the other way.

... x(1/3 +1/4) +(-1/3 +5/4) = 1/2

... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms

... x + 11/7 = 6/7 . . . . . . . multiply by 12/7

... x = -5/7 . . . . . . . . . . . subtract 11/7

At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.

8 0
3 years ago
Im in need of help so please help[ :)))
const2013 [10]

Given:

Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule (x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y) to create pentagon M'V'E'D'R'.

To find:

The correct statement.

Solution:

If a figure dilated by factor k, then the rule of dilation is

(x,y)\to (kx,ky)

Here,

If k>1, then the image is larger than the original figure.

If k<1, then the image is smaller than the original figure.

We have,

(x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)

Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is

k=\dfrac{2}{3}

Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.

Therefore, the correct option is B.

4 0
3 years ago
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Rashid [163]

Answer:

8

Step-by-step explanation:

don't start with 2, start with 0

6 0
3 years ago
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PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPP
Rudiy27

Answer: ok, ok so..

Step-by-step explanation:

So the total cost for that computer was 179$

you needed 44$ worth of parts, subract you have 135$

divide 135 by 45 you have 3

the labor was 3 hours

44 + 45h = 179

h= hours

h= is also 3 though

...Hope this helped some?

5 0
2 years ago
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