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3 years ago

Someone please help me

Mathematics

1 answer:

madreJ [45]3 years ago

4 0

Y2-y1/x2-x1 = m

10-12/4-1 = m
-2/3 = m
Slope is -2/3

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Jana ran the first 312 miles of a 5-mile race in 13 hours. What was her average rate, in miles per hour, for this first part of

MrRa [10]

Answer:

speed = distance / time

Jana's speed is

speed = (3.5 mi)/(1/3 h) = 3*3.5 mi/h = 10.5 mi/h

8 0

3 years ago

Find an equation for the nth term of the sequence.

tensa zangetsu [6.8K]

Answer:

a. an = -1 • 4^(n - 1)

Step-by-step explanation:

It's easy see that each term is multiplied by 4 to get the next term, so the common ratio will be 4, that reduces the choices to answers A and B (since C and D use -1 as common ratio). Also, normally a geometric progression uses "n-1", so we'll first try with A to see if it works.

a1 = (-1) * 4^0 = -1 * 1 = -1

a2 = (-1) * 4^1 = -1 * 4 = -4

a3 = (-1) * 4^2 = -1 * 16 = -16

Yes, it works... so the answer is an = -1 • 4^(n - 1)

6 0

3 years ago

Please simplify this using laws of exponentS

mezya [45]

Answer:

1/256

Step-by-step explanation:

See steps below:)

3 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 5 10

snow_lady [41]

Answer:

$\boxed {\boxed {\sf 8.7}}$

Step-by-step explanation:

We are asked to find the length of the third side in a triangle, given the other 2 sides.

Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.

$a^2 + b^2 =c^2$

In this theorem, a and b are the legs of the triangle and c is the hypotenuse.

We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.

b= 5
c= 10

Substitute the values into the formula.

$a^2 + (5)^2 = (10)^2$

Solve the exponents.

(5)²= 5*5 = 25
(10)²= 10*10= 100

$a^2 + 25=100$

We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.

$a^2 +25-25=100-25$