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3 years ago

The line perpendicular to y=3/4x+7 containing (3,-4)

Mathematics

1 answer:

Ainat [17]3 years ago

8 0

Answer:

y = - $\frac{4}{3}$ x

Step-by-step explanation:

1). $y_{1}$ = $m_{1}$ $x_{1}$ + $b_{1}$

$y_{2}$ = $m_{2}$ $x_{2}$ + $b_{2}$

$y_{1}$ ⊥ $y_{2}$ if $m_{2}$ = - $\frac{1}{m_{1} }$

2). ( $x_{3}$ , $y_{3}$ )

y - $y_{3}$ = m( x - $x_{3}$ )

~~~~~~~~~~~~~~~~~~

y = $\frac{3}{4}$ x + 7

$m_{1}$ = $\frac{3}{4}$

$m_{2}$ = - $\frac{4}{3}$

( 3, - 4 )

y - ( - 4) = - $\frac{4}{3}$ ( x - 3 )

y + 4 = - $\frac{4}{3}$ x + 4

y = -  $\frac{4}{3}$  x 

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What is the least common denominator of 9,8,6,5

Alex

Answer:

Step-by-step explanation:

LCD = 1

Equivalent Fractions with the LCD

9 = 9/1

8 = 8/1

6 = 6/1

5 = 5/1

Solution:

Rewriting input as fractions if necessary:

9/1, 8/1, 6/1, 5/1

For the denominators (1, 1, 1, 1) the least common multiple (LCM) is 1.

LCM(1, 1, 1, 1)

Therefore, the least common denominator (LCD) is 1.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

9 = 9/1 × 1/1 = 9/1

8 = 8/1 × 1/1 = 8/1

6 = 6/1 × 1/1 = 6/1

5 = 5/1 × 1/1 = 5/1

4 0

4 years ago

Given g(x)=sqrt x-4 and h(x)=2x-8 what is (g(h(10)) HELP ME I AM .3 POINTS AWAY FROM PASSING.

Whitepunk [10]

The answer (g(x))=x−7

g(f(x))=√x2−7

Explanation:

Put g inside f to find f(g(x))

f(x)=x2−4

g(x)=√x−3

f(g(x))=(√x−3)2−4

f(g(x))=x−3−4

f(g(x))=x−7

Put f inside g to find g(f(x))

g(x)=√x−3

f(x)=x2−4

g(f(x))=√x2−4−3

g(f(x))=√x2−7:

The answers are f(g(x))=x−7
and g(f(x))=√x2−7

Explanation:

This is a composition of functions.

f(x)=x2−4

g(x)=√x−3

fog(x)=f(g(x))=f(√x−3)=(√x−3)2−4

=x−3−4=x−7

And

gof(x)=g(f(x))=g(x2−4)=√(x2−4)−3

=√x2−4−3=√x2−7

You can see that

f(g(x))≠g(f(x))

7 0

4 years ago

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What is the degree of the monomial 3x²y3? O2 03 05 06

Natalija [7]

Answer:

Step-by-step explanation:

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4 years ago

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Emerson is making a punch that contains 60% grape juice and the rest lemon-lime soda. The punch has 2 liters of lemon-lime soda.

valina [46]

Part A.

Consider a punch containing L liters.

60% of these that is $\frac{60}{100}L=0.6L$ is grape juice, and the rest, 0.4 L is lemon-soda.

so, for the variable L, the total amount of punch, the total amount of grape juice is 0.6 L
and the amount of lemon soda in the punch is 0.4L

Part B.

For L=2, we substitute and get:

0.6 L=0.6 * 2 liters = 1.2 liters of grape juice

0.4 L = 0.4 * 2 liters = 0.8 liters of lemon soda.

5 0

4 years ago

100 POINTS HELP ME NOW!

vladimir1956 [14]

Answer:

$160$

Step-by-step explanation:

A rectangular prism's surface area is $2(wl+hl+hw)$ .

2·(10·5+2·5+2·10)=160.

7 0

3 years ago