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3 years ago

What is the slope of the line that passes through the points (-4,0) and (-4, -10)?

Mathematics

1 answer:

IceJOKER [234]3 years ago

5 0

Answer:

the slope is undefined

Step-by-step explanation:

slope = y2 - y1

___________

x2 - x1

slope = (-10-0) / {-4 - (-4 ) }

slope = -10 / (-4 + 4)

slope = -10 / 0

slope = undefined

note - Any number divided by zero is undefined

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I’ll award you brainliest if you answer This question

guajiro [1.7K]

Answer:

$2353 at 12.5% and $7647 at 8.25%

Step-by-step explanation:

I'll say a is the amount he invested in one market, and b is the amount in the other.

a + b = 10000, or b = 10000 - a

multiplying the investments with the percentages and adding them together will give the total earned interest.

(a × 0.125) + (b × 0.0825) = 925

0.125a + 0.0825b = 925

Use substitution to solve for a.

0.125a + 0.0825(10000 - a) = 925

0.125 a + 825 - 0.0825a = 925

0.0425a = 100

a = 2352.94

Use substitution to find b

b = 10000 - 2352.94

b = 7647.06

The questions are to the nearest dollar so round a and b.

$2353 and $7647

6 0

3 years ago

Find the measure of each acute angle in a right triangle where the measure of one acute angle is 8 times the measure of the othe

Arlecino [84]

Answer:

10° and 80°

Step-by-step explanation:

All triangles have internal angles that always add up to 180°.

8 0

2 years ago

A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s

Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

$P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0$

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

$P_K=3P_T\\\\P_K-3P_T=0$

Finally, we know that the sum of probablities has to be 1, or 100%.

$P_Q+P_K+P_T=1$

We can solve this by sustitution:

$P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6$

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

$P_K+P_Q=0.6+0.2=0.8$

8 0

3 years ago

150 - 1/2s = 120 + 1/4s

agasfer [191]

Answer:

s=40

Step-by-step explanation:

Combine s and 1/2.

150−s/2=120+1/4s

Combine 1/4and s.

150−s/2=120+s/4

Move all terms containing s to the left side of the equation.

150−3s/4=120

Move all terms not containing s to the right side of the equation.

−3s/4=−30

Multiply both sides of the equation by −4/3.

−4/3 x (−3s/4)=−4/3 x−30 => S=40

3 0

3 years ago

Read 2 more answers

Find the volume of the following figure. 890 units 3 900 units 910 units 3 882 units3

ludmilkaskok [199]

The answer in 766units^2

4 0

2 years ago