Which equation is the equation of the line that passes threw (-10,3) and is perpendiculare to y=5x-7?

1 answer:

4 0

When a line is perpendicular to another line, the gradient becomes the “negative reciprocal” which basically means flip the gradient and change the sign. In this instance the negative reciprocal of 5x has to be -1/5 as it has been flipped and made negative. At this point the answer can only be B or C.
After this you can use the point given to work out the y-intercept:
y-y1 = m(x-x1)
y-3 = -1/5(x+10)
y-3 = -1/5x - 2
y = -1/5x -1
And there’s your answer: C

You might be interested in

Round the number of connected computers 42,199,279 to the nearest ten million

Flura [38]

10, 000, 000 = ten million
40, 000 ,000 is the answer for the nearest ten million

3 0

3 years ago

Read 2 more answers

Translate the phrase into a variable expression: twice the sum of a number and 5

DIA [1.3K]

Answer:

'Twice the sum of a number and 5' can be translated into variable expression such as:

2(n + 5)

Step-by-step explanation:

Given the phrase

<em>Twice the sum of a number and 5</em>

First, let us breakdown the English Phrase

Let the number be = n

The sum of a number 'n' and 5 = n + 5

now, twice the sum of a number and 5 can be determined by multiplying (n+5) with 5.

Thus,

'<em>Twice the sum of a number and 5</em>' can be translated into variable expression such as:

2(n + 5)

7 0

3 years ago

2x+3>5x+4 how do I do it

trasher [3.6K]

What are they asking you to do? That's the question.

5 0

3 years ago

Rectangle ABCD is similar to rectangle RSTU .

Alenkasestr [34]

Answer:

The scale factor of a dilation from ABCD to RSTU is $\frac{1}{2}$

Step-by-step explanation:

We know that the rectangle ABCD is similar to rectangle RSTU.

Given that in rectangle ABCD the longest sides are DC and AB and in the rectangle RSTU the longest sides are UT and RS ⇒ The scale factor of a dilation will transform the sides DC and AB into UT and RS

Working with the lengths of the sides :

DC.(Scale factor) = UT

AB.(Scale factor) = RS

Replacing with the values of the lengths (Scale factor : SF) :

$DC.SF=UT\\(90ft).(SF)=45ft\\SF=\frac{45ft}{90ft} \\SF=\frac{1}{2}$