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cupoosta [38]
2 years ago
14

Through: (4,- 4), perp. to y = -4x - 2

Mathematics
1 answer:
amid [387]2 years ago
7 0

Answer:

Step-by-step explanation:

y = -4x - 2

slope of line = -4

slope of perpendicular to line = ¼

Point-slope equation for line of slope ¼, passing through (4,-4):

y+4 = ¼(x-4)

In slope-intercept form:

y = ¼x - 5

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In an orchard, there are 14 apple trees, 26 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?
AlladinOne [14]

Answer:

The ratio of apple to orange is 3 to 7 because if you simplify 15 to 21, you get that answer.

Step-by-step explanation:

5 0
3 years ago
In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find all the possible values of the combined weights of the k
Dima020 [189]

Let's use w to symbolize the weight of kittens. Given by the statement "each kitten weighs less than 3.5 ounces" we know that

1*w < 3.5

We can multiply both sides of the inequality by 7 to determine the total weights

7*(1*w) < 7*(3.5)

7*w < 24.5

Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces"

6 0
3 years ago
Sir Ving Spoon earned $5,436 on his $7,550 certificate of deposit. If he had the CD for 12 years, what simple interest rate did
Lilit [14]

6% or 0.06 is the simple interest rate the bank pays him.

<u>Step-by-step explanation:</u>

Sir Ving Spoon earned $5,436 on his $7,550 certificate of deposit.

From this given information,

It can be determined that the Principal amount is $7550 and the interest amount is $5436.

The CD is for 12 years. Therefore, the number of years is 12.

<u>To find the interest rate (r) :</u>

Using the simple interest formula,

Interest = P×r×t

where,

  • P is the principal amount = $7550
  • r is the rate of interest.
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⇒ 5436 = 7550 × r × 12

⇒ 5436 = 90600 × r

⇒ r = 5436 / 90600

⇒ r = 0.06

Multiply by 100 to represent in rate %

⇒ r = 0.06 × 100

⇒ r = 6%

∴ 6% or 0.06 is the simple interest rate the bank pays him.

5 0
3 years ago
Solve for x:−2(x+9)=−1(x+−1)+2
Stella [2.4K]

Answer:

A

Step-by-step explanation:

expanding the bracket, we would have

-2x -18 = -x+1+2

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x=-21

6 0
3 years ago
Read 2 more answers
100 POINTS AND BRAINLIEST IF RIGHT A survey asked 12 students how many portable electronic devices they have in their homes. The
Morgarella [4.7K]

Answer:

¾

Step-by-step explanation:

More than 3: 9

P(more than 3) = 9/12 = ¾

6 0
3 years ago
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