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Softa [21]
3 years ago
12

The solution set for -p2 − 11p = 0 is { }. (Separate the solutions with a comma.)

Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer:

0,-11

Step-by-step explanation:

-p^2 − 11p = 0

Factor out -p

-p( p+11) =0

Using the zero product property

-p =0    p+11 =0

p =0      p = -11

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LekaFEV [45]

Answer:

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Step-by-step explanation:

3 0
2 years ago
Given gif and GHF, write three proportions involving geometric mean.<br>​
almond37 [142]

Answer:

\frac{z}{h}=\frac{h}{y}\\\\\frac{a}{x}=\frac{x}{z}\\\\\frac{a}{w}=\frac{w}{y}

Step-by-step explanation:

For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.

According to the Altitude Rule, given a Right triangle, if you draw an altitude from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.

In this case, you can identify that the altitude that goes from the vertex of the right angle (\angle G=90\°) to the hypotenuse of the triangle, is:

GF=h

Then, based on the Altitude Rule, you can set up the following proportion:

\frac{z}{h}=\frac{h}{y}

According to the Leg Rule, each leg is the mean proportional between the hypotenuse and the portion of the hypotenuse that is located directly below that leg of the triangle.

Knowing this, you can set up the following proportions:

\frac{a}{x}=\frac{x}{z}\\\\\frac{a}{w}=\frac{w}{y}

6 0
3 years ago
Read 2 more answers
Find the factors for each of the following 40, 21
Nadya [2.5K]
21:2,1,3

40:2,4,5,8,10,20
5 0
3 years ago
The breaking strengths of cables produced by a certain manufacturer have a mean, u, of 1750 pounds, and a standard deviation of
AlladinOne [14]

Answer:

We accept the null hypothesis that the  breaking strength mean is less and equal to 1750 pounds and has not increased.

Step-by-step explanation:

The null and alternative hypotheses are stated as

H0:  u ≥ 1750   i.e the mean is less and equal to 1750

against the claim

Ha: u > 1750  ( one tailed test)  the mean is greater than 1750

Sample mean = x`= 1754

Population mean = u = 1750

Population deviation= σ = 65 pounds

Sample size= n = 100

Applying the Z test

z= x`- u / σ/ √n

z= 1754- 1750 / 65/ √100

z= 4/6.5

z= 0.6154

The significance level alpha = 0.1

The z - value at 0.1 for one tailed test is ± 1.28

The critical value is z > z∝.

so

0.6154 is < 1.28

We accept the null hypothesis that the  breaking strength mean is less and equal to 1750 pounds and has not increased.

8 0
3 years ago
Find two consecutive integers such that four times the larger exceeds three times the smaller by 23
Bad White [126]
CONSECUTIVE NUMBERS; x, x+1
(x+1)4=3(x)+23
4x+4=3x+23
4x-3x=23-4
x=19
x+1=20
THEREFORE  the consecutive numbers are 19&20
3 0
3 years ago
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