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emmainna [20.7K]
3 years ago
13

What is the slip of the line shown in the graph A) -2 B) -1 C) 1/-2 or D) 1/2

Mathematics
1 answer:
Serjik [45]3 years ago
6 0

Answer:

m = -1/2

Step-by-step explanation:

m=\frac{rise}{run}=\frac{1-2}{0+2}=\frac{-1}{2}=\boxed{-\frac{1}{2}}

Hope this helps.

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1. Amanda weighs 48 pounds (lbs). The physician ordered a drug that is delivered in the proportion of milligrams (mg) of medicat
allsm [11]
48 pounds/1 *  1 kg/2.2 pounds=<span>21.82 kg
amanda weighs 21.82 kg, so the amount of medication that needs to be administered should be 21.82 mg.</span>
4 0
3 years ago
Put them in order from least to greatest:<br> 9.5 9.66 9.662 9.551 9 9.59 9.626
Fiesta28 [93]

Answer:

9, 9.5,9.551,9.59,9.626,9.66,9.662

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the solution to the system of equations?<br> y=2/3x+3 x=-2
nydimaria [60]

Answer:

The solution to the system of equations is (1.6,-2)

Step-by-step explanation:

You have to plug the x which is -2 into the equation.

You would get y=2/3(-2)+3

Then you would calculate that to get y=1.6

Lastly you combine the y answer to the x answer to get the coordinates (1.6,-2)

3 0
3 years ago
Howard is designing a chair swing ride. The swing ropes are 4 44 meters long, and in full swing they tilt in an angle of 2 3 ∘ 2
qaws [65]

Question:

Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.

Answer:

7.18 meters

Step-by-step explanation:

Given:

Length of rope, L = 4 m

Angle = 23°

Height of chair, H= 3.5 m

In this question, we are to asked to find the height of the pole of the swing ride.

Let X represent the height of the pole of the swing ride.

Let's first find the length of pole from the top of the swing ride. Thus, we have:

cos \theta = \frac{h}{L}

Substituting figures, we have:

cos(23) = \frac{h}{4}

Let's make h subject of the formula.

h = 4cos(23) = 3.68

The length of pole from the top of the swing ride is 3.68 meters

To find the height of the pole of the swing ride, we have:

X = h + H

X = 3.68 + 3.5

X = 7.18

Height of the pole of the swing ride is 7.18 meters

3 0
3 years ago
You know 4−3i is the complex conjugate of 4+3i. If you multiply the denominator of −2+5i4+3i by 4−3i, what will you get? Enter y
Alona [7]

Answer:

25

Step-by-step explanation:

Given

(-2 + 5i)/(4 + 3i)

Required

Multiply the denominator by 4 - 3i

The denominator of the fraction above is 4 + 3i

When multiplied by 4 - 3i, the result is as follows;.

Result = (4 + 3i)(4 - 3i)

Expand

Result = 4(4 - 3i) + 3i(4 - 3i)

Open both brackets (take it one at a time)

Result = 4 * 4 - 4 * 3i + 3i(4 - 3i)

Result = 16 - 12i + 3i(4 - 3i)

Open the second bracket

Result = 16 - 12i + 12i - 3i * 3i

Result = 16 - 12i + 12i - 9i²

In complex numbers, i = √-1

i² = (√-1)²

i² = √-1 * √-1

i² = -1

The expression

Result = 16 - 12i + 12i - 9i²

Becomes

Result = 16 - 12i + 12i - 9(-1)

Result = 16 - 12i + 12i + 9

Collect like terms

Result = 16 + 9 + 12i - 12i

Result = 25 + 0

Result = 25

Hence, when the denominator of the fraction is multiplied by 4 - 3i, the result is 25

3 0
3 years ago
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