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Dafna11 [192]
3 years ago
14

Given f(x) = -3x - 1, solve for f(x)= -4​

Mathematics
2 answers:
Nikitich [7]3 years ago
6 0

Answer:

its 11

Step-by-step explanation:

Oksi-84 [34.3K]3 years ago
3 0

Answer:

11

Step-by-step explanation:

x= -4

f(x)= -4

f(-4)= -3(-4) -1

=11

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Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed b
klemol [59]

Imagine right triangle PHF, where P - park, H - home and F - football field, then PH, PF are legs and HF is hypotenuse . Denote point L to be library. You know that point L lies on the segment FH and FL=8, LH=2. Also you know that PL is an altitude to the hypotenuse.

Use the property of altitude drawn from the vertex of right angle to the hypotenuse (the length of the altitude is geometrical mean between legs' projections onto hypotenuse):

PL=\sqrt{HL\cdot LF},\\  PL=\sqrt{2\cdot 8}=\sqrt{16} =4 mi.

This means that the distance between park and libriry is 4 miles.

Consider right triangle PLF ( angle L is right angle and PF - hypotenuse). By the Pythagorean theorem,

PF^2=PL^2+LF^2,\\ PF^2=4^2+8^2,\\ PF^2=16+64=80,\\ PF=\sqrt{80} =4\sqrt{5} mi. The distance between park and football field is 4\sqrt{5} miles.

Answer: the distance between park and libriry is 4 miles and the distance between park and football field is 4\sqrt{5} miles.

6 0
3 years ago
the sum of the first ten terms of a linear sequence is -60 and the sum of the first fifteen terms is -165. Find the 18th term of
const2013 [10]

Answer:

<h2>          a₁₈ = - 31</h2>

Step-by-step explanation:

S_{10}=\dfrac{2a_1+d(10-1)}{2}\cdot 10\\\\\dfrac{2a_1+9d}{2}\cdot 10=-60\\\\\dfrac{2a_1+9d}{2}=-6\\\\2a_1+9d=-12\\\\2a_1=-12-9d\\\\\\S_{15}=\dfrac{2a_1+d(15-1)}{2}\cdot 15\\\\\dfrac{2a_1+14d}{2}\cdot 15=-165\\\\\dfrac{2a_1+14d}{2}=-11\\\\2a_1+14d=-22\\\\-12-9d+14d=-22\\\\ 5d=-10 \\\\ d=-2\\\\\\2a_1=-12-9(-2)=-12+18=6\\\\a_1=3\\\\\\ a_{18}=a_1+17d=3+17(-2)=3-34=-31

8 0
3 years ago
Express 2.58 x 10^-2 in standard form​
Alisiya [41]

Answer:

2.5 x 10^{-2] = 0.025

Step-by-step explanation:

If you mean standard DECIMAL form, then you move the decimal point 2 places to the left because of the negative power of 10:

8 0
4 years ago
Read 2 more answers
5<br> Find the slope of a line parallel to 2y - 6x+8.<br> -6
morpeh [17]

Answer:

Change the equation to the slope intercept form (y = mx + b)

2y = 6x + 8

Divide equation by 2

y = 3x + 4

Therefore

The line as a y intercept of 4

:

Parallel lines have the same slope;

Find the slope by putting in the equation in the point/intercept form

4x + 4y = 20

4y = -4x + 20

Divide equation by 4, results

y = -1x + 5

:

Now we know the slope (-1) and the y intercept (+4) if the line

y = -1x + 4

or just

y = -x + 4 is "the line"

Step-by-step explanation:

5 0
3 years ago
In 45 years, Gabriel will be 4 times as old as she is right now <br> How old is she right now?
Brut [27]

Answer:

She is 11.25 years old.

Step-by-step explanation:

I just did 45 divided by 4.

3 0
3 years ago
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