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3 years ago

HELP PLZZ. Select the correct answer Which number best represents the slope of the graphed line?

Mathematics

2 answers:

bija089 [108]3 years ago

7 0

Answer: A. -5

Step-by-step explanation:

i just took this

Gre4nikov [31]3 years ago

6 0

The answer is negative five so a

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2 years ago

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What is the value of x? A) 10 B) 12 C) 15 D) 17

prohojiy [21]

Answer:

c) 15

Step-by-step explanation:

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3 years ago

1) find the equation of the line parallel to

In-s [12.5K]

Answer:

1) The equation of the line parallel to x-5y=6 and through (4,-2) is 5y = x -14

2) The equation of the line perpendicular to y= -2/5x + 3 and through (2,-1) is 2y = 5x -12

Solution:

1) find the equation of the line parallel to x-5y=6 and through (4,-2).

Given, line equation is x – 5y = 6

We have to find the line equation that is parallel to given line and passing through the point (4, -2)

Now, let us find slope of the given line.

$\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-5}=\frac{1}{5}$

Now, we know that, slope of parallel lines are equal.

So, slope of required line is 1/5 and it passes through (4, -2)

Now, using point slope form

$y-y_{1}=m\left(x-x_{1}\right) \text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on line. }$

$y-(-2)=\frac{1}{5}(x-4) \rightarrow 5(y+2)=x-4 \rightarrow 5 y+10=x-4 \rightarrow x-5 y=14$

Hence, the line equation is 5y = x -14

2) find the equation of the line perpendicular to y= -2/5x + 3 and through (2,-1)

$\text { Given, line equation is } y=-\frac{2}{5} x+3 \rightarrow 5 y=-2 x+15 \rightarrow 2 x+5 y=15$

We have to find the line equation that is perpendicular to given line and passing through the point (2, -1)

Now, let us find slope of the given line.

$\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-2}{5}=-\frac{2}{5}$

Now, we know that, product of slopes of perpendicular lines equals to -1.

So, slope of required line $\times$ slope of given line = -1

slope of required line = $-1 \times \frac{5}{-2}=\frac{5}{2}$

And it passes through (2, -1)

Now, using point slope form

$\begin{array}{l}{\text { Line equation is } y-(-1)=\frac{5}{2}(x-2) \rightarrow 2(y+1)=5(x-2)} \\\\ {\rightarrow 2 y+2=5 x-10 \rightarrow 5 x-2 y=12}\end{array}$

Hence, the line equation is 2y = 5x -12

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3 years ago

Solve system using eliminations 2x+4y=22 2x-2y=-8

KATRIN_1 [288]

$2x+4y=22 \\
2x-2y=-8 \ \ \ |\times (-1) \\ \\
2x+4y=22 \\
\underline{-2x+2y=8} \\
2x-2x+4y+2y=22+8 \\
6y=30 \ \ \ |\div 6 \\
y=5 \\ \\
2x-2y=-8 \\
2x-2 \times 5=-8 \\
2x-10=-8 \ \ \ |+10 \\
2x=2 \ \ \ |\div 2 \\
x=1 \\ \\
\boxed{(x,y)=(1,5)}$

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3 years ago

Explain concept of base-ten blocks to 4.9÷7=

AleksandrR [38]

4.9÷7=0.7 because 49÷7=7, 4.9=49/10, and 7/10=0.7

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3 years ago

HELP PLZZ. Select the correct answer Which number best represents the slope of the graphed line?​

HELP PLZZ. Select the correct answer Which number best represents the slope of the graphed line?