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lutik1710 [3]
3 years ago
5

The expression 3(x-9) is equivalent to

Mathematics
1 answer:
Inessa05 [86]3 years ago
8 0
The answer to this question would be D. 3(x)-3(9)
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A line has a slope of 5 and passes through the point (-1,2).
Andreyy89

Answer:

Step-by-step explanation:

slope=m= 5

points=(-1,2)

<u>By point-slope form:</u>

y-y_{1}=m(x-x_{1})

<u>Substitute the values in formula:</u>

<u>y-2=5(x+1)</u>        (It is the point slope form)

Now,

<u>Slope intercept form:</u>

y-2=5x+5

y=5x+5+2

<u>y=5x+7</u>

<u />

<h3><u>If you need to ask any questions, please let me know.</u></h3>
5 0
3 years ago
Can you help me<br>4(b–1)²–9​
Tamiku [17]

Answer:

(b-1)²-9​

= 4[(b - 1)(b - 1)] - 9

= 4[b² - b - b + 1] - 9

= 4(b² - 2b + 1) - 9

= 4b² - 8b + 4 - 9

= 4b² - 8b - 5

Hope this helps!

7 0
2 years ago
How many complete rotations will the bowling ball make if it rolls straight down the center of the entire length of the lane. A.
jasenka [17]
<h3>Answer: C) 26 complete rotations</h3>

===========================================

Explanation:

The diameter of the ball is 8.5 inches. So d = 8.5

The circumference of the circle with this diameter is

C = pi*d

C = pi*8.5

C = 8.5pi

C = 26.7035375555132 approximately.

This is the rough distance it travels in one revolution or one full rotation.

--------------

1 revolution = 26.7035375555132 inches

(1/26.7035375555132) revolution = 1 inch

1 inch = (1/26.7035375555132) revolution

1 inch = 0.03744822190398 revolution

There are 12 inches a foot, so,

1 inch = 0.03744822190398 revolution

12*1 inch = revolution

12 inches = 0.44937866284776 revolution

1 foot = 0.44937866284776 revolution

Now multiply both sides by 60

1 foot = 0.44937866284776 revolution

60*1 foot = 60*0.44937866284776 revolution

60 feet = 26.9627197708657 revolutions

Round down to the nearest whole number to get 26

We can't round to 27 even though we're really close to it. This is because we are looking for the number of whole revolutions the ball makes.

Therefore, 60 linear feet correspond to 26 full rotations of the ball. There's a bit leftover, but it's not enough to make another full rotation.

8 0
3 years ago
We draw 2 cards from a deck of 52 cards. what is the probability that both are queens?
solniwko [45]
Use combination
There are 4 queen cards in a deck of 52 cards
Probability = 4C2 / 52C2

I calculate 4C2 first
4C2 = 4! / (2! 2!)
4C2 = (4 × 3 × 2 × 1) / (2 × 1 × 2 × 1)
4C2 = 6

Then I calculate 52C2
52C2 = 52! / (50! 2!)
52C2 = (52 × 51)/2
52C2 = 1.326

Hence, the probability is
Probability = 4C2 / 52C2
Probability = 6/1,326
Probability = 1/221
7 0
3 years ago
Please answer 2 and 3 !!
Usimov [2.4K]

(2) So we know Ethan uses 1/4 cup of milk for his cake. And if he needs to make 3 times the amount of 1 cake, he'll make 3 cakes today. So we multiply the amount of cakes (3) by the amount of milk needed (1/4)

3 * 1/4 = 3/4

Ethan will need 3/4 cups of milk.

(3) We know Isabella need's 2/5 of a gallon of the food to make 1 gallon.

She want's to make 5 gallons, so like the other problem, we multiply the amount of gallons (5) by the amount of food needed (2/5):

5 * 2/5 = 10/5 = 2/1.

Isabella will need 2 gallons of food.

6 0
2 years ago
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