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VARVARA [1.3K]
3 years ago
12

Write an equation in slope intercept form of the line that passes through the given points

Mathematics
1 answer:
monitta3 years ago
6 0
Y= -5x -2, is the equation I would use
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Complete the steps to find the area of the trapezoid.
Yuki888 [10]

Answer:

Area of rectangle: 256

Area of triangle 1: 24

Area of triangle 2: 16

Area of triangle 3: 96

Area of trapezoid: 120

Step-by-step explanation:

I just did the question on the thing so Ik I'm right.

-The graph measures by twos. To get the area of the rectangle get the base times height of it. That would be 16x16=256.

-Get base (8) times height (6) of triangle 1 then divide by 2, remember to count the squares by 2 for finding all areas. The formula would be 1/2(b)(h) because dividing by 2 is the same as multiplying times 1/2. Plug it in and     (8)(6)=48 then divide by 2 which equals 24.

-Same formula for triangle 2. Plug it in and (8)(4)=32 and divide by 2 and it equals 16.

-Same formula for triangle 3. Plugged in is (12)(16)=192 divide by 2 and it equals 96.

-To find the area of the trapezoid get your rectangle area (256) and subtract all the triangle areas. So 256 - 6 - 16 - 96 = 120.

4 0
3 years ago
Read 2 more answers
The librarian at the local elementary school claims that, on average, the books in the library are more than 20 years old. To te
Cerrena [4.2K]

Answer:

<em>The observed t (2.533) is in the tail cut off by the critical t (2.462), therefore we reject H0. It is likely  that the books are older than 20 years of age on average.</em>

Step-by-step explanation:

<em>Step 1: Hypotheses and α level </em>

H0: μ ≤ 20

H1: μ > 20

<u><em>α = 0.01</em></u>

<em>Step 2: Critical region </em>

α = .01

One-tailed

df = n – 1 = 30 – 1 = 29

<u><em>t - critical = 2.462 </em></u>

<em>Step 3: Calculate t which is observed </em>

sM = √(s2 / n) = √(67.5 / 30) = 1.5

t = (M – μ) / sM  

t = (23.8 – 20) / 1.5

<u><em>t = 2.533 </em></u>

<u><em /></u>

3 0
3 years ago
Can I get some help on this? it wants it solved for L​
Lady bird [3.3K]

Multiply both sides by 2pi:

F(2pi) = sqrt(g/l)

Square both sides:

F^2 (2pi)^2 = g/l

Solve for l by dividing both sides by F^2 (2pi)^2

L = g/ F^2 (2pi)^2

Simplify:

L = g / 4pi^2(f^2)

5 0
3 years ago
There are 40 batteries in 10 packs.
DaniilM [7]

:-):-):-):-):-)

Step-by-step explanation:

1) 40÷10

2) 40÷2

7 0
3 years ago
1=10^0 into logarithmic form
Tatiana [17]

Answer:

0 = log_{10} 1

Step-by-step explanation:

Base for the exponent and for the logarithm are the same!

10^0 is the <u>exponential</u> form where 10 is the base and 0 the exponent

log_{10} 1 is the l<u>ogarithm</u> form where 10 is the base

To solve log_{10} 1 =   ask the question :

To what power should I raise the base 10 to obtain the number 1 ?

The answer to the power 0 therefore

log_{10} 1 = 0

1 = 10^{0}   -is-the- exponential -form\\0 = log_{10} 1 - is -the -logarithmic -form

7 0
3 years ago
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