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Georgia [21]
3 years ago
7

Write the slope intercept equation of the function f whose graph satisifies the given conditions. The graph of f passes through

(-8,6) and is perpendicular to the line that has an x-intercept of 1 and a y-intercept of -2.​
Mathematics
1 answer:
MrMuchimi3 years ago
3 0
  • Let's find slope first.

  • (1,-2)
  • (-8,6)

\\ \sf\longmapsto m=\dfrac{6+2}{-8-1}

\\ \sf\longmapsto m=\dfrac{8}{-9}

Slope intercept form

\\ \sf\longmapsto y=mx+b

\\ \sf\longmapsto y=-\dfrac{8}{9}x-2

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Please answer this question
makvit [3.9K]

Step-by-step explanation:

Using the properties of logarithms, the left side of the equation becomes

\log{3x^3} - \log{x^2} = \log{3x}

while the right hand side becomes

\log{27} - \log{x} = \log{\frac{27}{x}}

so we end up with

3x^2 =27 \Rightarrow  x = 3

4 0
2 years ago
Consider the graph of the quadratic function y = 3x2 – 3x – 6. What are the solutions of the quadratic equation 0 = 3x2 − 3x − 6
Ilya [14]
Roots of the equation 3x² -3x-6=0 are -1 and 2,
all choices are given wrong
3*2²-3*2-6=0
12-6-6=0
0=0, which is true , so root is 2

3*20²-3*20-6=0
600-60-6=0
534=0  which is wrong, so root is 2, but not 20 
4 0
3 years ago
A die is rolled. Match the events mentioned in the first column with their corresponding probability.
lakkis [162]

Answer:

Step-by-step explanation:

a number greater than 5 - 1/6

a prime number - 1/2

a number greater than 4 - 1/3

a number less than 6 - 5/6

4 0
3 years ago
Find the volume of the composite solid. Round your answer to the nearest tenth.
EastWind [94]

Answer:

646.04 cm³

Step-by-step explanation:

<u>Cube volume formula:</u>

V=l*w*h

V=8*8*8

V=512

<u>Hemisphere volume formula:</u>

V=(4/3πr³)1/2

V=(4/3π4³)1/2

V=128/3

<u>Add both together</u>

128/3 + 512 ≈ 646.04cm³

4 0
3 years ago
How do you solve 13+4x=1-x
mel-nik [20]
13+4x=1-x
4x=-12-x (minus 13 from each side)
5x=-12 (add x to each side)
You divide -12 by 5x
-12÷5x=2\frac{2}{5}⇒2.4
x=2.4
6 0
3 years ago
Read 2 more answers
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