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BabaBlast [244]
4 years ago
7

Write an equation perpendicular to the line y=3/2x-2 that goes through (-4,3)

Mathematics
1 answer:
Goryan [66]4 years ago
4 0

Answer: y=-2/3x-2/3

Step-by-step explanation:

concept to know: two lines that are perpendicular has opposite reciprocal slopes.

y=-2/3x+b

in order to find b or the y-intercept, we need to plug in a point

3=-2/3(-4)+b

3=8/3+b

b=-2/3

y=-2/3x-2/3

Hope this helps!! :)

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(3x+15) (6x+3) m<1 is
Allisa [31]

Answer:

x = 4

Step-by-step explanation:

Simplifying

3x + 15 = 6x + 3

Reorder the terms:

15 + 3x = 6x + 3

Reorder the terms:

15 + 3x = 3 + 6x

Solving

15 + 3x = 3 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

15 + 3x + -6x = 3 + 6x + -6x

Combine like terms: 3x + -6x = -3x

15 + -3x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0

15 + -3x = 3 + 0

15 + -3x = 3

Add '-15' to each side of the equation.

15 + -15 + -3x = 3 + -15

Combine like terms: 15 + -15 = 0

0 + -3x = 3 + -15

-3x = 3 + -15

Combine like terms: 3 + -15 = -12

-3x = -12

Divide each side by '-3'.

x = 4

Simplifying

x = 4

8 0
3 years ago
4. Factor the binomial.<br> 16x2 – 25
fiasKO [112]

Answer:

a^2-b^2=(a+b)(a-b) where a=4x and b=5. (4x+5)(4x-5)

Step-by-step explanation:

Since both terms are perfect squares,factor using the difference of squares formula

6 0
3 years ago
Rectangle 30 ft wide and 70 feet long. How long would diagonal corners be?
jonny [76]

Answer:

around 76.16

Step-by-step explanation:

30 squared + 70 squared = 5800

square root of 5800 = 76.16

a squared + b squared = c squared

5 0
3 years ago
Chris has $63 to spend on the order, including tax. The tax at the restaurant is 5%. What is the maximum cost of food the group
vredina [299]

Answer:

x = $59.85

Step-by-step explanation:

100% = $63

95% = x

100x = 95*63

100x = 5985

x = $59.85

4 0
3 years ago
Can someone please help me with this? it’s algebra 2
riadik2000 [5.3K]
I am big pp lol xD hxyjdrh
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3 years ago
Read 2 more answers
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