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2 years ago

Evaluating Expressions

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

8 0

Answer: 13. -12 , 14. 40 , 15. 16 , 16. 4.5

Step-by-step explanation:

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Highschool college-prep math. I need some help on this and if you do would will be greatly appreciated.

tigry1 [53]

Answer:

Step-by-step explanation:

4 0

3 years ago

Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

8 0

3 years ago

PLEASE HELP THIS IS BEING TIMED I HAVE 9 moreeeeee

Sergio [31]

Answer:

8/10 hahahshshshdhdhdbdbd

6 0

3 years ago

Read 2 more answers

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Ann [662]

The roller coaster is 150 ft

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3 years ago

A sum of $9, 000 paid into a bank account for two months (61 days) to attract simple interest will produce $9, 020 at the and of

Juliette [100K]

Answer:

Rate of interest will be 1.33 %

Return on this investment = $=\frac{9020-9000}{9000}=0.222$ %

Step-by-step explanation:

We have given principle amount P = $9000

Time = 61 days = $\frac{61}{365}=0.167\ years$

We have to find the rate of interest

Total amount produce at the end of term = $9020

So interest = $9020 - $9000 = $20

We know that simple interest $=\frac{principle\ amount\times rate\times\ time}{100}$

$20=\frac{9000\times rate\times\\ 0.167}{100}$

$rate=1.33$ %

Return on this investment = $=\frac{9020-9000}{9000}=0.222$ %

6 0

4 years ago