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3 years ago

What is the elimination of 2a+3b=12 and 5a-b=13

Mathematics

2 answers:

Anton [14]3 years ago

7 0

2a plus 3b =12

5a minus 1b =13 multiply this by -3 to match 3b in equation 1

2a plus 3b =12

-15 plus 3b =-36

plus 15 plus 15

3b= -21

divide by 3 on both sides

b= -7

baherus [9]3 years ago

6 0

I hope this helps you

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The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0). Which conc

vodka [1.7K]

Answer:

They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

Given:

The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0).

To choose: the correct option

Solution:

According to distance formula distance between points $(x_1,y_1),(x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For ΔMNO,

$MN=\sqrt{(4-1)^2+(9-3)^2}=\sqrt{(3)^2+(6)^2}=\sqrt{45}\\NO=\sqrt{(7-4)^2+(3-9)^2}=\sqrt{(3)^2+(-6)^2}=\sqrt{45}\\\\MO=\sqrt{(7-1)^2+(3-3)^2}=\sqrt{(6)^2+(0)^2}=\sqrt{36}=6\\$

For ΔPQR,

$PQ=\sqrt{(4-3)^2+(2-0)^2}=\sqrt{(1)^2+(2)^2}=\sqrt{5}\\QR=\sqrt{(5-4)^2+(0-2)^2}=\sqrt{(1)^2+(-2)^2}=\sqrt{5}\\\\PR=\sqrt{(5-3)^2+(0-0)^2}=\sqrt{(2)^2+(0)^2}=2\\$

So,

$\frac{MN}{PQ}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\ \frac{NO}{QR}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\\frac{MO}{PR}=\frac{6 }{2 }=3\\$

Therefore, They are similar by the definition of similarity in terms of a dilation.

Two triangles are said to be similar if their sides are proportional.

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Tcecarenko [31]

Answer:

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Step-by-step explanation:

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4 years ago

At what root does the graph of f(x)=(x+4)^6(x+7)^5 cross the x axis?

xz_007 [3.2K]

Answer:

f(x) crosses the x-axis, then

f(x)=(x+4)^6(x+7)^5 = 0

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=> x =-4 or x = -7

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3 years ago

What is the slope of the line below?

icang [17]

Answer:

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Step-by-step explanation:

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3 years ago

Marquis wrote the linear regression equation y=1.245x - 3.684 to predict the cost, y, of x songs purchased. Marquis spent $40 on

jasenka [17]

What you should do for this casp is to use the given expression and clear the value of x.
We have then:
y = 1.245x - 3.684
Clearing x:
1.245x = (y + 3.684)
x = (y + 3,684) / (1,245)
Substituting the value of y:
x = ((40) +3,684) / (1,245) = 35.09
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answer:
the best estimate of the number of songs that Marquis purchased is 35

4 0

4 years ago

Read 2 more answers