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barxatty [35]
3 years ago
10

What is the altitude of the triangle?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
3 0
Area = 1/2 Base x Height

Let x= Base, then x+3 = height

35 = 1/2(x)(x+3)

35 = 1/2(x2) + 3/2(x)

70 = x2 + 3x

x2 + 3x - 70 =0

(x+10)(x-7) = 0, x= -10 or 7 (-1 is impossible) so base = 7, height = 10
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What is the solution to 31|-3x + 9|=-18
Kisachek [45]

Answer:

No solutions

Step-by-step explanation:

31 times any positive number cannot be a negative number.

8 0
3 years ago
Can you please help me with this! It's due in a couple hours.
castortr0y [4]

Answer:

f(2) = -5

Step-by-step explanation:

A point (x, y) lying on a function represents output value (y-value) of the function for any input value (x-value).

In other words y = f(x) for any input value of 'x'.  

From the graph attached,

For the input value x = 2,

Output value of the function is y = -5

Therefore, f(2) = -5 will be the answer.

5 0
3 years ago
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 180180 engin
tiny-mole [99]

Answer:

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=4.6 represent the sample mean

\sigma=0.9 represent the population standard deviation

n=180 sample size  

\mu_o =4.8 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if thetrue mean is below the specifications, the system of hypothesis would be:  

Null hypothesis:\mu \geq 4.8  

Alternative hypothesis:\mu < 4.8  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

P-value

Since is a one sided test the p value would be:  

p_v =P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

4 0
3 years ago
Help asap plssssssssssssss
olasank [31]

Answer:

÷ then +

Step-by-step explanation:

as (18÷3)+24=30 is correct same as (6÷3)+1=3

8 0
3 years ago
Line L passes through the points (0, --3) and (6,9).<br> (a) Find the equation of line L.
valentina_108 [34]

Step-by-step explanation:

Given points are :

(0,\:-3)=(x_1,\:y_1) \:\&\: (6,\:9)=(x_2 ,\:y_2)

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5 0
3 years ago
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