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soldier1979 [14.2K]
2 years ago
7

Given f(x) 6x – 5 a) Evaluate f(5) f(5) b) Evaluate f( - 3) f(-3) =

Mathematics
1 answer:
prisoha [69]2 years ago
8 0
We have the equation f(x)=6x-5 to start with
Now in order to answer the question we have to know that f(5) is the same thing as setting x=5 and solving for f(5)

(A) f(5) = 6(5) - 5 = 30 - 5 = 25
(B) f(-3) = 6(-3) - 5 = (-18) - 5 = -23

So f(5) = 25 and f(-3) = -23
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y - 6 = 7(x - (-4))
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3 years ago
Which of the following sets of numbers could be the lengths of the sides of a triangle?
katrin2010 [14]
A 7.4cm, 10.5cm, 15.5 cm

5 0
2 years ago
WILL REWARD THE BRAINLIEST
Gnom [1K]

Answers and Step-by-step explanations:

9-18.

a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.

Then, we can just solve for x by subtracting 30 and 115 from both sides:

x = 180 - 115 - 30 = 35 degrees

b) Again all three angles should add up to 180, so:

x + x + x = 180  ⇒  3x = 180  ⇒  x = 180/3 = 60 degrees

9-19.

a) These angles add up to 180:

2x + x + 30 = 180  ⇒  3x + 30 = 180  ⇒  3x = 150  ⇒  x = 50

2x = 50 * 2 = 100

The missing angles are 100 degrees and 50 degrees.

b) Again, these add up to 180:

x + 10 + x + 90 = 180  ⇒  2x + 100 = 180  ⇒  2x = 80  ⇒  x = 40

x + 10 = 40 + 10 = 50

The missing angles are 50 degrees and 40 degrees.

Hope this helps!

7 0
3 years ago
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If someone type an average of 63 words per minute. how many word can they type in 135 minutes?
Rasek [7]
8505. You would do 63 times 135 to get 8505
7 0
3 years ago
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The height of a triangular window is 3 feet less than its base. The area the window is 20 ft.? find the dimensions of the window
Ivenika [448]

Let us assume base of the window = b feet.

Height is 3 feet less than base, that is = (b-3).

Given area of the triangle = 20 feet square.

We know formula for area of a triangle:

Area = \frac{1}{2} × Base × Height

Plugging values in formula, we get

20 = \frac{1}{2} b \times (b-3)

\mathrm{Multiply\:both\:sides\:by\:}2

40=b\left(b-3\right)

40=b^2-3b

b^2-3b-40=0

Factoring quadratic, we get

\left(b+5\right)\left(b-8\right)=0

b+5=0

b=-5

b-8=0

b=8.

For base we can take only positive value.

<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>
6 0
3 years ago
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