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1 year ago

Evaluate, leave ur answer in index form. 2³ × 2^-1

Mathematics

1 answer:

vitfil [10]1 year ago

3 0

Multiply = add powers

3 + - 1 = 2

- - means +

+ + means +

- + means -

Thus, answer is 2^2

Hope this helps!

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hammer [34]

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3 years ago

Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

7 0

3 years ago

Jay took a number, n, and increased it by 25%. Then, he doubled the resulting product. Which of the following is equivalent to t

ruslelena [56]

Answer: Multiplying the number by 2.5

Step-by-step explanation:

Jay took a number, n, and increased it by 25%. The value gotten will be:

= n + (25% × n)

= n + (0.25 × n)

= n + 0.25n

= 1.25n

After that, Then, he doubled the resulting product. The value now gotten will be:

= 2 × 1.25n

= 2.50n

Therefore, the equivalent will be multiplying the number by 2.5. This will be:

= n × 2.5

= 2.5n

Therefore, it's thesame with the value gotten.

The correct option is D.

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3 years ago

Heather wrote her bike at a rate of 15 per second which graph best represents the relationship between this time in seconds Heat

V125BC [204]

Answer:

i wish i were heather

Step-by-step explanation:

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3 years ago

A deposit $400 into an account that pays simple interest ta a rate of 3% per year how much interest will be paid in the first 5

ValentinkaMS [17]

Answer:

$60

Step-by-step explanation:

This is because 400 times 0.03 is 12 and 12 times 5 is 60

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3 years ago

Evaluate, leave ur answer in index form. 2³ × 2^-1​

Evaluate, leave ur answer in index form. 2³ × 2^-1