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Mkey [24]
3 years ago
12

Help will up-voter!

Mathematics
1 answer:
harina [27]3 years ago
7 0
<h2>Steps:</h2><h3>A.</h3>

For this, plug 4 into the x variable (since 4 is in the x variable of g(x)) and solve as such:

g(4)=\frac{1}{2}*4+5\\\\g(4)=2+5\\\\g(4)=7

<u>Your final answer is g(4) = 7.</u>

<h3>B.</h3>

For this, it's a similar process as A, but you are plugging -10 into the x variable and solving:

g(-10)=\frac{1}{2}*(-10)+5\\\\g(-10)=-5+5\\\\g(-10)=0

<u>Your final answer is g(-10) = 0</u>

<h3>C.</h3>

Similar process as before, but you are plugging 0 for x to solve:

g(0)=\frac{1}{2}*0+5\\\\g(0)=0+5\\\\g(0)=5

<u>Your final answer is g(0) = 5.</u>

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What is the absolute value of -8? Use the number line to help answer the question
Ad libitum [116K]
The absolute value of -8 is 8
here’s a trick the absolute value of a positive is the same number of its negative it’s the same number but positive
hope it helps
4 0
3 years ago
The fountain is made up of two semicircles and a quarter circle. Find the perimeter and the area of the fountain. Round the peri
Andrej [43]
FOUND THE COMPLETE QUESTION IN ANOTHER SOURCE.ATTACHED IMAGE.
 For this case what we have is the following:
 For the two semicircles we can model it as a complete circle.
 We have to then:
 
 Perimeter: 
 P = 2 * pi * r
 or
 P = pi * d
 Where,
 r = radius
 d = diameter
 Therefore the perimeter is:
 P = 10 * pi
 For the largest circle we have:
 radius = 10
 Perimeter:
 P '= 2pi10
 P '= 20pi
 1/4 since 1/4 circle:
 P '' = 20pi / 4 = 5pi
 Then, the total perimeter of the source is:
 Pt = P + P '' = 10pi + 5pi = 15pi
 Pt = 15 * (3.141592)
 Pt = 47.1239
 round
 Pt = 47.1 ft

 Area:
 The total area will be:
 A = A (two semicircles) + A (quarter big circle)
 A = (pi / 4) * (d ^ 2) + (1/4) * pi * r ^ 2
 A = (pi / 4) * ((10) ^ 2) + (1/4) * pi * (5) ^ 2
 A = 98.17477042 feet ^ 2
 Round:
 A = 98.2 feet ^ 2

 Answer: 
 Perimeter of the source: 
 Pt = 47.1 ft 
 Area of the source: 
 A = 98.2 feet ^ 2

5 0
3 years ago
a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse
Sonbull [250]

Answer:

The power of horse is:  P = 72000 W

Step-by-step explanation:

Given

  • F = 1800 N
  • v = 40.0 m/s

To determine

P = ?

Using the formula

\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}

The  ⋅  in the formula represents a scalar product, defined by:

\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta

The angle Ф is zero because F and v are are parallel.

Thus the cosine is 1.

Therefore,

P = (1800) (40.0)

P = 72000 W

Hence, the power of horse is:  P = 72000 W

3 0
2 years ago
Triangle X Y Z is shown. Angle X Z Y is 90 degrees and angle X Y Z is 41 degrees. The length of Z X is 22.
skad [1K]

The equation that could be used to solve for the length of XY is XY = 22/sin(41)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Sine rule is used to show the relationship between the sides and angles of a trinagles.

Using sine rule on triangle XYZ:

XY / sin(Z) = XZ / sin(Y)

XY / sin(90) = 22/sin(41)

XY = 22/sin(41)

The equation that could be used to solve for the length of XY is XY = 22/sin(41)

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
1 year ago
The angle measurements in the diagram are represented by the following expressions
marusya05 [52]

Answer:

Ahhh, vertical angles, thank goodness for these, hahaha!

According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.

Knowing this, you have to set each equation equal to each other in order to solke this one!

Let's do it!

6x + 18 = x + 93

STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.

5x + 18 = 93

STEP 2: Get X alone by subtracting 18 from both sides.

5x = 75

STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.

FINAL ANSWER: x = 15

NOTE: <em>X is B. </em>

5 0
3 years ago
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