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2 years ago

8

Calculate the distance between the points C = (0,-2) and L= (-4, 1) in the coordinate plane. Give an exact answer. (not a decima

l approximation)

1 answer:

schepotkina [342]2 years ago

7 0

Answer: 5

Step-by-step explanation:

$\sqrt{(-4-0)^2 + (1-(-2))^2}=5$

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What is the vertex of the function f (x) = x^2 + 16x?

Tju [1.3M]

f(x) = x^2 + 16x

Completing the square.

f(x) = a(x-h)^2 + k

f(x) = (x + 8)^2 - 64

h = -8, k = -64

Vertex = (h,k)

Vertex = (-8, -64)

Not fully explained, just a quick summary.

8 0

3 years ago

To help vegetables stay fresh longer, Liam’s family maintains storage near their home. The total volume of the root cellar is 95

Helga [31]

To help vegetables stay fresh longer, Volume of storage of 951 cubic feet is equal to 26.929 $m^3$

<u>Solution:</u>

Given that to help vegetables stay fresh longer, Liam’s family maintains storage.

Total volume of root cellar that is storage is 951 cubic feet.

Also given that 1 foot = 0.3048 meters

need to find the volume of storage in cubic meter that is $m^3$

$\begin{array}{l}{\text { As } 1 \text { foot }=0.3048 \mathrm{m}} \\\\ {\Rightarrow 1 \text { foot } \times 1 \text { foot }=0.3048 \mathrm{m} \times 0.3048 \mathrm{m}} \\\\ {\Rightarrow 1 \text { foot } \times 1 \text { foot } \times 1 \text { foot }=0.3048 \mathrm{m} \times 0.3048 \mathrm{m} \times 0.3048 \mathrm{m}} \\\\ {=1 \mathrm{foot}^{3}=0.0283 \mathrm{m}^{3}} \\\\ {\Rightarrow 1 \text { cubic feet }=0.0283 \mathrm{m}^{3}}\end{array}$

$\text { So } 951 \text { cubic feet }=951 \times 0.0283 \mathrm{m}^{3}=26.929 \mathrm{m}^{3}$

Hence volume of storage of 951 cubic feet is equal to 26.929 $m^3$

7 0

3 years ago

Sue has 7/8 of her book left to read. If she reads another 2/7 of the book, how much of the book will she have left?

Strike441 [17]

Answer:

A. 33/56

Step-by-step explanation:

56ths is the only one of these that 7 can be broken up into.

6 0

3 years ago

Seven-eighths equals 0.875 and is a(n) ___.

kirza4 [7]

Answer:

negative number

Step-by-step explanation:

Numerator is 125 as dividing makes 875/1000

Numerator is 0.875 we can divide again by 8.75/10

we find that 0.875 = 875/1000 is equivalent to 7/8

7 0

3 years ago

A piggy bank contains 3 pennies, 4 nickels, 4 dimes and 9 quarters. Two coins

xeze [42]

Answer:

1325/10000

Explain Step By Step Answer

5 0

3 years ago