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Natalka [10]
3 years ago
12

What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y= x/3−1

?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0
Perpendicular lines have slopes that are opposite and reciprocal. Therefore, the line we are looking for has a -3 slope.
y= -3x+b

Now, we can substitute in the point given to find the intercept.
2= -3(4)+b
2= -12+b
b=14

Finally, put in everything we've found to finish the equation.
y= -3x+14
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Which figure can be formed from the net?
beks73 [17]

Answer:

its the figure on the top left, so A

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8 0
3 years ago
Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 of the cho
Contact [7]

Answer:

9 packages of chocolate bars

Step-by-step explanation:

Let he bought c packages of chocolate bars and t packages of toffee bars,

Since, he bought 1 fewer package of chocolate bars than toffee bars.

⇒ c = t - 1  -----(1)

Also, he handed out out \frac{2}{3} of the chocolate bars and \frac{3}{5} of the toffee bars,

If he handed out the same number of each kind of candy bar.

\implies \frac{2}{3}\times c=\frac{3}{5}\times t

10c = 9t     ( By cross multiplication )

\implies t=\frac{10}{9}c    ( Division property of equality )

From equation (1),

c=\frac{10}{9}c-1

1=\frac{10}{9}c-c

1=\frac{10c-9c}{9}

1=\frac{c}{9}

\implies c = 9

Hence, he bought 9 packages of chocolate bars.

4 0
2 years ago
Divide x^2+7x+12 by x+3 using long division
Trava [24]
X^2+7x+12/x+3
x^2+7x+12/x+3
x^3+7x^2+12+3x/x
x^3+7x^2+3x+12/x
8 0
2 years ago
Marvin scored 96, 93, 97, and 92 on four out of five math tests. In order to receive the highest grade in the class, he must obt
castortr0y [4]

Answer:98

Step-by-step explanation:

has to be higher then 97 so it has to be 98

5 0
3 years ago
Read 2 more answers
If f(x)=2x+1f(x)=2x+1f, left parenthesis, x, right parenthesis, equals, 2, x, plus, 1 and g(x)=x^2+7g(x)=x
nadya68 [22]

The value of the composite function f(g(x)) is 2x^2 + 15

<h3>How to evaluate the composite function f(g(x))?</h3>

The functions are given as:

f(x) = 2x + 1

g(x) = x^2 + 7

We have the function f(x) to be

f(x) = 2x + 1

Substitute g(x) for x in the equation f(x) = 2x + 1

So, we have

f(g(x)) = 2g(x) + 1

Substitute g(x) = x^2 + 7  in the equation f(g(x)) = 2x + 1

f(g(x)) = 2(x^2 + 7) + 1

Open the brackets

f(g(x)) = 2x^2 + 14 + 1

Evaluate the sum

f(g(x)) = 2x^2 + 15

Hence, the value of the composite function f(g(x)) is 2x^2 + 15

Read more about composite function at

brainly.com/question/10687170

#SPJ1

<u>Complete question</u>

if f(x) = 2x + 1 and g(x) = x^2 + 7

which of the following is equal to f(g(x))

8 0
1 year ago
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