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Kisachek [45]
2 years ago
6

Which equation of a line contains point (1-1) and is parallel toy = 2x + 5?​

Mathematics
1 answer:
ella [17]2 years ago
8 0

Answer:

Answer is y = 2x - 3

Step-by-step explanation:

• Equation of parallel lines have the same slope. So first two equations are okay.

• For point (1, -1):

{ \rm{y = mx + c}} \\ { \rm{ - 1 = 2 + c}} \\ { \rm{c =  - 3}}

• Equation is y = 2x - 3

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A right triangle has side length that are consecutive integers of 12 feet what are the angles of the triangles
xxTIMURxx [149]
Your intention with the wording "consecutive integers of 12 feet" is not clear. Shown are triangles with sides 12 and 13 (a nice Pythagorean triple) as well as 11 and 12.

7 0
3 years ago
If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8,6)
vova2212 [387]
\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
X&({{ a}}\quad ,&{{ b}})\quad 
%  (c,d)
Y&({{ -8}}\quad ,&{{ 6}})
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)

\bf \left( \cfrac{-8+a}{2}~,~\cfrac{6+b}{2} \right)=\stackrel{M}{(-3,-1)}\implies 
\begin{cases}
\cfrac{-8+a}{2}=-3\\\\
-8+a=-6\\
\boxed{a=2}\\
----------\\
\cfrac{6+b}{2}=-1\\\\
6+b=-2\\
\boxed{b=-8}
\end{cases}
5 0
2 years ago
2(rt-4+2) when r=5 and t=2
Whitepunk [10]

Answer:

8

Step-by-step explanation:

2(5x2-4+2)=2(10-4+2)=2x4=8

8 0
2 years ago
use the elimination method to solve the system of equations choose the correct ordered pair -x + y = -2 2x - 3y = 4
mafiozo [28]

Answer:

The answer is (2, 0).

I hope this helps!

8 0
3 years ago
When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and foun
Anestetic [448]

Answer:

The tree was 175 centimeters tall when Vlad moved into the house.

7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.

Step-by-step explanation:

The height of the tree, in centimeters, in t years after Vlad moved into the house is given by an equation in the following format:

H(t) = H(0) + at

In which H(0) is the height of the tree when Vlad moved into the house and a is the yearly increase.

He measured it once a year and found that it grew by 26 centimeters each year.

This means that a = 26

So

H(t) = H(0) + 26t

4.5 years after he moved into the house, the tree was 292 centimeters tall. How tall was the tree when Vlad moved into the house?

This means that when t = 4.5, H(t) = 292. We use this to find H(0).

H(t) = H(0) + 26t

292 = H(0) + 26*4.5

H(0) = 292 - 26*4.5

H(0) = 175

The tree was 175 centimeters tall when Vlad moved into the house.

How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

This is t for which H(t) = 357. So

H(t) = H(0) + 26t

H(t) = 175 + 26t

357 = 175 + 26t

26t = 182

t = \frac{182}{26}

t = 7

7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.

7 0
2 years ago
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