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Dmitrij [34]
3 years ago
8

Write an equation in slope intercept form for a line that goes through the point (-9,4) and is perpendicular to line y=-3x-2

Mathematics
1 answer:
nadezda [96]3 years ago
3 0

Answer:

y = 1/3x + 7

Step-by-step explanation:

Perpendicular slope is opposite reciprocal so it will be 1/3

Use the slope and point given and plug into y = mx  + b

4 = 1/3 (-9) + b

4 = -3 + b

7 = b

write new equation with new b and m

y = 1/3x + 7

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9. Find the volume of the sphere if the radius is 12.4 in. Round to the nearest tenth.
d1i1m1o1n [39]

Answer:

V=7982.4 in

Step-by-step explanation:

V=4/3pi*r^3

V=4/3pi*12.4^3

V=4/3pi*1906.62

V=7626.48/3pi

V=2542.16pi

V=2542.16*3.14

V=7982.4

6 0
3 years ago
15. Find the value of x.<br> (68 - x)<br> 3x
masha68 [24]

Answer:

17=x

Step-by-step explanation:

In this case, we need to use Vertical Angles Theorem to solve this problem. Basically, because of the position of the angles, they are congruent.

68-x = 3x

Add x to both sides

68=4x

Divide by 4

17=x

Hope this helps!

3 0
4 years ago
Read 2 more answers
Solve using the standard algorithm 0.4 + 0.7=
blsea [12.9K]

Answer:

The answer is 1.1

Step-by-step explanation:

0.4

+0.7

____

1 . 1

8 0
3 years ago
Read 2 more answers
Select the correct answer. if function g has the factors (x − 7) and (x 6), what are the zeros of function g? a. -7 and 6 b. -6
Nimfa-mama [501]

Option (b) -6 and 7 is the correct option.

The zeroes of the function f and g are x=7 and x=-6 respectively.

<h3>What are the zeroes of a polynomial?</h3>

The values of x that satisfy the formula f(x) = 0 are the zeros of a polynomial. The polynomial's zeros are the x values for which the function's value, f(x), equals zero in this case. The degree of the equation f(x) = 0 determines how many zeros a polynomial has.

Put x-7=0

X=7

Now, put x+6=0

So, x=-6

The zeroes of the function f and g are 7 and -6 respectively.

Learn more about zeroes of a polynomial at: brainly.com/question/10702726

#SPJ4

5 0
2 years ago
Maggie buys a dress and a pair of shoes at The Home Store. Before adding the sales tax, she pays $48 for a dress that normally s
mezya [45]

Answer:

a) $26

b) 24.07%

c) $94.3

Step-by-step explanation:

Given that:

Before tax:

Normal price of dress = $62

Discounted price of dress = $48

Normal price of a pair of shoes = $46

Discounted price of a pair of shoes = $34

a) Before the sales tax, total savings = ($64 - $48) + ($46 - $34) = <em>$26</em>

b) Total percentage discount on total sales.

Total bill for original price = $62 + $46 = $108

Percentage discount can be found by the formula:

\dfrac{\text{Total discount}}{\text{Total bill for original price}}\times 100\\\Rightarrow \dfrac{26}{108} \times 100 = 24.07\%

c) Total amount paid if the sales tax is 15%.

Amount paid with tax = Amount after discount + 15% of amount after discount

Amount after discount = $48 + $34 = $82

15% of $82 = $18.29

Amount paid with sales tax = $82 + $12.3 = <em>$94.3</em>

6 0
3 years ago
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