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3 years ago

What is the solution to the system of equations ? 4x-5y=-17 x+6y=61

Mathematics

1 answer:

HACTEHA [7]3 years ago

7 0

I went ahead and rewrote x+6y=61 to x=-6y+61 to get x by itself.

I then plugged that into to the first equation to get:

4(-6y+61)-5y=-17

I factored to get:

-24y+244-5y=-17

I combined like terms

-29y=-261

I then divided both sides by -29 to get y by itself and I got y=9 which is A.

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Please help!

Art [367]

Answer:

I believe it is C. The square root of 47

Step-by-step explanation:

Because the distance from her house to the pool is about 6 and the square root of 47 is 6.8

5 0

3 years ago

Read 2 more answers

Please help :) I have no clue & math isn’t my strong subject.

melisa1 [442]

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

Solution:

Given line $y=\frac{4}{7} x+4$ .

Slope of this line, $m_1$ = $\frac{4}{7}$

$$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }$

$$m_2=\frac{-1}{m_1}$

$$=\frac{-1}{\frac{4}{7} }$

Slope of perpendicular line, $m_2=\frac{-7}{4}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$y-y_1=m(x-x_1)$

$$y-(-7)=\frac{-7}{4} (x-5)$

$$y+7=\frac{-7}{4} x+\frac{35}{4}$

Subtract 7 from both sides, we get

$$y=\frac{-7}{4} x+\frac{7}{4}$

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

To find the parallel line:

Slopes of parallel lines are equal.

$m_1=m_3$

$$m_3=\frac{4}{7}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$$y-(-7)=\frac{4}{7} (x-5)$

$$y+7=\frac{4}{7} x-\frac{20}{7}$

Subtract 7 from both sides,

$$y=\frac{4}{7} x-\frac{69}{7}$

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

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3 years ago

Find the mode of the data set

SashulF [63]

Answer:

Rock-4

Country-6

Hip Hop-5

pop-3

Country is the mode

hope this helps

have a good day :)

Step-by-step explanation:

8 0

3 years ago

14 POINTS!! PLEASE HURRY!! Solve the system by graphing. Explain you answer!!

Zigmanuir [339]

The answer to the question is (2,-2)

7 0

3 years ago

Which values of x satisfy the inequality 0. 5 x minus 0. 75 greater-than-or-equal-to 3. 25 x greater-than-or-equal-to 5 x less-t

telo118 [61]

To solve the problem we should know about Expressions.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of x in the inequality should be ≥8.

Given to us

(0.5x - 0.75) ≥ 3.25

<h3>Solve the inequality,</h3>

$(0.5x - 0.75) \geq 3.25\\\\0.5x \geq 3.25+ 0.75\\\\0.5x\geq 4\\\\x\geq \dfrac{4}{0.5}\\\\x\geq 8$

Hence, the value of x in the inequality should be ≥8.

Learn more about Inequality:

brainly.com/question/19491153

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2 years ago