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4 years ago

The ordered pair of (-2,5) across the y axis

1 answer:

3 0

To reflect a point across the y-axis we change the sign in front of the x-coordinate and keep the sign the same for the y-coordinate. So the reflection of the ordered pair of (-2,5) is (2,5).

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Find the equation of the line that is perpendicular to y = – 1 4 x – 8 and passes though the point (2, –4).

vivado [14]

The equation of the line is $y=\frac{1}{4}x-\frac{29}{7}$

Explanation:

The equation of the line is perpendicular to $y=-14 x-8$

The equation is of the form $y=mx+b$ where m=-14

<u>Slope:</u>

The slope of the perpendicular line can be determined using the formula,

$m_1 \cdot m_2=-1$

$-14 \cdot m_2=-1$

$m_2=\frac{1}{14}$

Thus, the slope of the line is $m=\frac{1}{14}$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

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

Substituting the slope $m=\frac{1}{14}$ and the point (2,-4), we get,

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

Simplifying, we get,

$y+4=\frac{1}{14}x-\frac{1}{7}$

$y=\frac{1}{14}x-\frac{1}{7}-4$

$y=\frac{1}{4}x-\frac{29}{7}$

Thus, the equation of the line is $y=\frac{1}{4}x-\frac{29}{7}$

3 0

3 years ago

The quotient of a number and -7 decreased by 2, is 10.

klasskru [66]

Hello!

This expression can be broken down into 3 separate parts:

1. "the quotient of a number and (-7)"
2. "decreased by 2"
3. "is 10"

We'll begin with the first part. The word "quotient" implies the result of a division problem. Therefore, this part can be represented by the following expression (let "x" represent the unknown number):

$\frac{x}{(-7)}$

Now we'll move on to the second part. If something is decreased by a value of 2, we know that 2 is being subtracted. Therefore, this part can be represented by the following expression:

– 2

Now we'll move on to the third and final part. The phrase "is 10" implies that the operations preceding this part are equal to 10. Therefore, this part can be represented by the following expression:

= 10

Finally, put the three parts together to create the following equation:

$\frac{x}{(-7)}$ – 2 = 10

The equation has now been fully translated. If, however, you are required to find the unknown value (x), begin by adding 2 to both sides of the equation:

$\frac{x}{(-7)}$ = 12

Now multiply both sides by (-7):

x = (-84)

We have now proven that the unknown number is equal to (-84).

I hope this helps!

3 0

3 years ago

Stan wants to make a rectangular garden. he has 34 ft of fencing to put around the perimeter. if the length is to be 5 ft more t

Len [333]

P = 2(L + W)
P = 34
L = W + 5

34 = 2(W + 5 + W)
34 = 2(2W + 5)
34 = 4W + 10
34 - 10 = 4W
24 = 4W
24/4 = W
6 = W <==== the width is 6 ft

L = W + 5
L = 6 + 5
L = 11 <==== the length is 11 ft

6 0

3 years ago

Tanisha's plant is 9 7/10 cm tall.

neonofarm [45]

Answer:

5 3/10

Step-by-step explanation:

9 7/10 = 97/10

4 2/5 = 4 4/10 = 44/10

97/10 - 44/10 = 53/10

53/10 = 5 3/10

3 0

3 years ago

Read 2 more answers

Evaluate following expression 6x4+2x9/3 HELPP

natita [175]

Answer:

Step-by-step explanation:

6*4+2*9/3

24+2*9/3

24+6

7 0

3 years ago

The ordered pair of (-2,5) across the y axis​

The ordered pair of (-2,5) across the y axis