Explain why the square root of a number is defined to be
equal to that number to the 1/2 power.

Answer:

b

Step-by-step explanation:

Answer:

2²+3² =x²

4+9. =x²

x² =13

x. =√13

answer is option c

Answer:

C

Step-by-step explanation:

You divided 4/2 you get 2

2^2+3^2=x^2

x^2=4+9

x^2=13

x= square root 13

Answer:

Step-by-step explanation:

Distribute the Negative Sign:

=−9x+32+−1(15x+41)

=−9x+32+−1(15x)+(−1)(41)

=−9x+32+−15x+−41

Combine Like Terms:

=−9x+32+−15x+−41

=(−9x+−15x)+(32+−41)

=−24x+−9

Answer:

-24x - 9

Step-by-step explanation:

Combine like terms.

Given:

The length of field is n yards.

The length of a field in feet is a function f(n).

To find:

The function rule for this situation.

Solution:

We know that,

1 yard = 3 feet

Using this conversion, we get

n yard = 3n feet

The length of field is n yards. So, the length of the field is 3n feets.

The length of a field in feet is a function f(n). So,

[tex]f(n)=3n[/tex]

Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].

Answer:

(10, 4, -3)

Step-by-step explanation:

z = -3

y + z = 1

y - 3 = 1

y = 4

x + y - z = 17

x + 4 - -3 = 17

x + 4 + 3 = 17

x + 7 = 17

x = 10

(10, 4, -3)

Answer:

(10,4,-3)  

Step-by-step explanation:

(x,y,z)

z= -3 given

y+z = 1 (equation 2)

y-3 =1

y=4 (solve 2 after substation)

eq #1 : x + 4 - (-3) = 17

x+4+ 3 = 17

x+ 7 = 17

x=10

(10,4,-3)  

Answer:

20.5 mpg

Step-by-step explanation:

Here we're looking to calculate the car's fuel economy, expressed in miles per gallon, or mpg:

 164 miles

------------------ = 20.5 mpg

  8 gallons

Answer:

C    Zero

Step-by-step explanation:

[tex] -9 \times (\dfrac{0}{-3}) = [/tex]

[tex] = -9 \times 0 [/tex]

[tex] = 0 [/tex]

Answer: C  Zero

Answer:

37.3 ft

Step-by-step explanation:

tan A = opp/adj

tan 31° = x/62

x = 62 * tan 31°

x = 37.3 ft

The height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Trigonometric ratios are used to demonstrate the connection between the sides and angles of a right-angled triangle.

Let h denote the tree if the point on the ground is 62 feet from the tree.

The angle of elevation = 31°. Hence:

tan 31° = h/62

h = 62 × tan 31°

h = 37.25 ft

Thus, the height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.

Learn more about the right triangle here:

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Answer:

area: 454.2 sq.cm

perimeter: 77.7 cm

Step-by-step explanation:

to find area, find the area of all the separate shapes and add them together:

semi-circle:

radius is 12 cm

area = [tex]\frac{\pi (12)^2\\}{2}[/tex] = 226.2 sq.cm

separate the trapezoid into two right triangles and a rectangle.

area for triangles:

[tex]\frac{1}{2}[/tex](5)(12) = 30

30 x 2 = 60 sq.cm (since there are two triangles)

area for rectangle:

12 x 14 = 168 sq.cm

area of whole shape: 226.2 + 60 + 168 = 454.2 sq.cm

for perimeter, just add the length of the exterior sides together.

we have some unknown sides, such as the semicircle and the sides of the trapezoid

we can find the hypotenuse of the triangles we used earlier to find the sides of the trapezoid with pythagorean theorem

[tex]5^2 + 12^2 = c^2[/tex]

[tex]25 + 144 = c^2[/tex]

[tex]169 = c^2[/tex]

[tex]\sqrt{169} =\sqrt{c^2}[/tex]

c = 13 cm

to find the outside perimeter of the semi-circle, solve as if you were finding the circumference of a normal circle and divide it in half

[tex]\frac{2\pi12}{2}[/tex] = 37.7 cm

now add it all up:

14 + 13 + 13 +37.7 = 77.7

Multiply the number of days (x) by the amount per day (80) to get 80x.

She is driving 150 miles at 0.10 per mile so multiply to get the mileage cost: 150 x 0.10 = 15

Add this to the daily amount:

80x+15

She can spend up to 300, so less than or equal to 300:

80x +15 <=300

Answer: 120m2

Step-by-step explanation:8x11=88

19-11=8- length of triangle base. 1/2 base x height= 4x8=32

32+88=120m2

Answer:

The cost price = GHc 16.00

Step-by-step explanation:

Selling price = GHC 20.00

Profit Percent = 25%

Cost price = ?

Formula for finding cost price =

[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]

Let's insert the numbers

[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]

So therefore ; the cost price is GHC 16.00

Step-by-step explanation:

Fourth graph represent the function p(x) = |x – 1|

Answer:

B

Step-by-step explanation:

Just did the unit test

Answer:

The number of candy which can be bought for 20 dollars is 16 candies. Hence, the required answer is 16. The number of candy bars that can be bought for $20 are 16.

16 candy bars can be bought for 20 dollars. Hence, the correct answer is C.

An expression is a mathematical representation or statement that combines variables, constants, and mathematical operations. It does not contain an equals sign (=) and does not make a statement of equality or inequality. Instead, an expression represents a value or a computation.

To determine how many candy bars can be bought for 20 dollars, we need to use the given information that 4 candy bars can be purchased for $5.

To find the cost of one candy bar, we divide $5 by 4:

Cost of one candy bar = $5 / 4 = $1.25

Now, we can calculate how many candy bars can be bought for $20 by dividing 20 by the cost of one candy bar:

Number of candy bars = $20 / $1.25 = 16

Therefore, 16 candy bars can be bought for 20 dollars. Hence, the correct answer is 16 bars.

To know more about an expression follow

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Answer:

133,300

Step-by-step explanation:

3100 x 43 = 133,300

Answer: 133,300

Step-by-step explanation: 3100 x 43= 133300

Answer:

Step-by-step explanation:

.....

Answer:

(24x^2 + 14x – 20) /(3x+5) =  h

Step-by-step explanation:

The area of a trapezoid is given by

A =1/2 (b1+b2) h

12x^2 + 7x – 10 = 1/2 ( x+3+ 3x+2)h

Multiply each side by 2

24x^2 + 14x – 20 =  ( x+3+ 3x+2)h

Combine like terms

24x^2 + 14x – 20 =  ( 4x+5)h

Divide each side by (4x+5)

(24x^2 + 14x – 20) /(4x+5) =  ( 4x+5)h/(4x+5)

(24x^2 + 14x – 20) /(4x+5) =  h

Answer:

Measure of angle K is 52.5 degrees

Step-by-step explanation:

Here, we have a case of two sides being congruent

mathematically when two sides are congruent, then we have an isosceles triangle

For an isosceles triangle, the base angles are equal

LM faces K , while M faces KL

What this mean is that L faces KM

From above, we can see that K = M = ?

Let us call this x

Mathematically, the sum of angles in a triangle is 180 degrees

75 + x + x = 180

2x = 180-75

2x = 105

x = 105/2

x = 52.5

Answer:

[tex]1) y=-6[/tex]

[tex]2)x=3[/tex]

[tex]3) y=8[/tex]

[tex]4)a=8[/tex]

Step-by-step explanation:

[tex]4y+24=0[/tex]

subtract 24 from both sides

[tex]4y=-24[/tex]

divide both sides by 4

[tex]y=-6[/tex]

---------->>>>

[tex]15+3=6x[/tex]

combine like terms

[tex]18=6x[/tex]

divide both sides by 6

[tex]3=x[/tex]

---------->>>>

[tex]9y-72=0[/tex]

add 72 to both sides

[tex]9y+72[/tex]

divide both sides by 9

[tex]y=8[/tex]

---------->>>>

[tex]8a=75-11[/tex]

combine like terms

[tex]8a=64[/tex]

divide both sides by 8

[tex]a=8[/tex]

--------------------------------------------

Hope this is helpful.

Explanation:

Each set spans from 3 to 7 as the min and max. Since we're dealing with the same endpoints, we have perfect overlap.

Answer:

options number 1 is the answer

Answer: "C"

roots would make the function "0"

so just plug in the numbers...

with a + 12 you need minuses to cancel out...

B & C can not be the answer...

A is -i -3 + 4i - 12 which also is not 0

C is :  8i -12 -8i +12 WHICH DOES = 0

Step-by-step explanation:

Answer:

So , 41 years ago, Mothers age is 3 times of Sally's age. When Sally's age was 13 , and her mom age was 39 (

Answer:

4.25 meters

Step-by-step explanation:

425/100 = 4.25

or move the decimal to the left 2 places. One place for each zero in 100.

Answer:

a=70 vertically opp angles

b=80  linear pair

c=100   corresponding angles

d= 80 linear pair with c

e=  180 -a-d

=180-70-80

=30

Answer:

4x² - 10x - 6

Step-by-step explanation:

(x-3)(4x+2)

4x² + 2x - 12x - 6

4x² - 10x - 6

Answer:

The answer is 4x+7

Step-by-step explanation:

3x+7+x

= 3x+x+7

= 4x+7

(I used symbolab)

Answer:

123

Step-by-step explanation:

100 ÷ 5 x 4 + 43

20 x 4 + 43

80 + 43

123