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3 years ago

For the three-part question that follows, provide your answer to each question in the given workspace.

Mathematics

2 answers:

zepelin [54]3 years ago

6 0

Answer:

See below

Step-by-step explanation:

Julie wants to cut her hair 9 inches off from 16 inches

Expression

16 - 9

Calculation

16 - 9 = 7 inches

Explanation of steps

1 - note the point 16 on the number line
2 - move left by 9 points on the number line
3 - note point 7 as answer

Triss [41]3 years ago

3 0

Answer:

Part A: 16 - 9

Part B: 7 inches

Part C: Go back 9 spaces, since Julie wants to cut her hair 9 inches short.

Explanations:

Part A: The expression 16 - 9 represents the problem because she cuts off 9 inches of her hair.

Part B: It is now 7 inches because 16 - 9 = 7.

Part C: You must go back 9 spaces, since 9 is how much inches of hair Julie cut.

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Find the point at which the line joining the two points (-3,-5) and (7,5) cuts they y axis

8090 [49]

Answer:

(0,-2)

Step-by-step explanation:

First we find the equation of the line passes through $(-3,-5)$ and $(7,5)$ .

The slope of the line is

$m=\frac{5-(-5)}{7-(-3)}\\=\frac{10}{10}\\=1$

So by the point slope formula the equation of the line is

$y-5=1(x-7)\\y=x-7+5\\y=x-2$

When $x=0$ we have $y=0-2=-2$ .

Therefore the line joining the two points cuts the y-axis at (0,-2).

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2 years ago

For every 8 cups that Maria makes, she uses 1 1/4 cups of blueberries . If she uses 5 cups of blueberries, how many fruit cups c

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Answer:

Step-by-step explanation:

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3 years ago

Manert’s grandfather put $4100 in the bank for him when he was born. The account has been earning 6.5% interest compounded annua

Travka [436]

Answer:

Ans: $19,793

Step-by-step explanation:

Compound interest:

A = P(1+6/100)²⁵

= 4100(1+0.065)²⁵

=19,793

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2 years ago

What is the equation of the line that passes through the points (-8,4) and (-8,8)?

ivann1987 [24]

Answer:

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Step-by-step explanation:

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3 years ago

X² – 4x – 12=0 <br> solve by completing the square

Juliette [100K]

Answer:

x = -2 0r x = 6

Step-by-step explanation:

from the question

X² – 4x – 12=0

solve by completing the square method

we have;

X² – 4x – 12=0

X² – 4x = 12

to make the left hand side a perfect square we add 4 to both sides.

X² -4x + 4 = 12 + 4

X² -4x + 4 = 16

from left hand side X² -4x + 4

= (x -2) × ( x -2)

it can be simply expressed as

( x-2)²

so since X² -4x + 4 has been simplified to be ( x-2)²

then,

( x-2)² = 16

x - 2 = √ 16

since square root has two values it can either be positive or negative

so we have

x = 2 + √16

x = 2 - √16

therefore

x = 2 + √16

x = 2 + 4

x = 6

x = 2 - 4

x = -2

4 0

3 years ago