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3 years ago

How do you do this?????

Mathematics

1 answer:

o-na [289]3 years ago

3 0

$y = 2x - 9$

Step-by-step explanation:

Let's rewrite the given equation such that only y is on the left side and everything else on the right side:

$3x + 6y = -30 \Rightarrow 6y = -3x - 30$

Simplifying this by dividing by 6, we get

$y = -\frac{1}{2}x - 5$

This line has a slope of -1/2, which means that a line perpendicular to this has a slope of 2 (i.e., negative reciprocal). So we can write its equation as

$y = 2x + b$

This is the slope-intercept form of the equation of the line perpendicular to our given line. To complete this form, we need to find the value of b. Since this line passes through (1, -7), put these numbers into our equation to get

$-7 = 2(1) + b \Rightarrow b = -9$

Therefore, the slope-intercept form of the equation can be written as

$y = 2x - 9$

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Find 30% of 70 a. 21 b. 36 c. 40

gtnhenbr [62]

A is your answer

We can cross multiply using x/70=30%/100

Solving it we get:
100x=2100 (70 times 30)
x=21

So we get a, 21 as your answer.

I hope this helped!

8 0

3 years ago

Read 2 more answers

Tristan is working on dilating rectangles. Rectangle ABCD is dilated by a factor of 3. The resulting rectangle WXYZ has an area

zloy xaker [14]

Answer:

Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3.

Step-by-step explanation:

The rectangle ABCD is dilated by a factor of 3 to get the rectangle WXYZ whose area is found to be 72 cm².

Let the dimensions of the dilated rectangle WXYZ are a cm by b cm.

So, ab = 72 ........... (1)

Now, the dimensions of the original rectangle are 3 times lesser than the dimensions of rectangle WXYZ.

So, the area of rectangle ABCD will be $(\frac{a}{3} \times \frac{b}{3}) = \frac{ab}{9} = \frac{72}{9} = 8$ cm² {from equation (1)}

Therefore, Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3. (Answer)

8 0

3 years ago

Y = -x²+4 y = 2x+1 solve the system of equations

Semenov [28]

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
1
,
3
)
,
(
−
3
,
−
5
)
(
1
,
3
)
,
(
-
3
,
-
5
)
Equation Form:
x
=
1
,
y
=
3
x
=
1
,
y
=
3
x
=
−
3
,
y
=
−
5

4 0

2 years ago

Read 2 more answers

Equation 1: 8x+2y=308x+2y=30

Tems11 [23]

Answer:

Part a) We should try to eliminate the y's because the coefficients are the same

Part b) The solution is the point (6,-9)

Step-by-step explanation:

Part a) Which variable pair should we try to eliminate?

we have

$8x+2y=30$ ----> equation 1