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3 years ago

Write an equation that represents the line. (1,-1),(3,-5)

Mathematics

1 answer:

geniusboy [140]3 years ago

6 0

Answer:

x+y=0

Step-by-step explanation:

slope m of given equations is

(-5+1)÷(3+1)

=-1

then the equations of this line is

y-(-1)=m(x-1)

or, y+1=-1(x-1)

or, y+1= -x+1

or, x+y=0

x+y=0 is required equation of line.

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Factor completely x2 + 25.

ki77a [65]

Answer:

Prime

Step-by-step explanation:

x² + 25 is prime (unfactorable).

Here's what the other options come out to:

(x + 5)(x + 5) = x² + 10x + 25

(x + 5)(x − 5) = x² − 25

(x − 5)(x − 5) = x² − 10x + 25

7 0

3 years ago

Read 2 more answers

The volume of the cone shown is 5 cubic inches. What is the height of a cone with the same base diameter but a volume of 10 cubi

MaRussiya [10]

Answer:

The height of the second cone is 2 h₁.

Step-by-step explanation:

The volume of a cone is:

$V=\pi\ r^{2}\frac{h}{3}$

The volume of the first cone is, V₁ = 5 in³.

The volume of the second cone is, V₂ = 10 in³.

The two cones have the same base diameters.

This implies that the two radii are same, i.e. r₁ = r₂.

Compute the height of the second cone as follows:

$r_{1}=r_{2}$

$\frac{3\cdot V_{1}}{\pi\ h_{1}}=\frac{3\cdot V_{2}}{\pi\ h_{2}}$

$\frac{V_{1}}{h_{1}}=\frac{V_{2}}{ h_{2}}$

$\frac{5}{h_{1}}=\frac{10}{h_{2}}$

$h_{2}=2\ h_{1}$

Thus, the height of the second cone is 2 h₁.

7 0

3 years ago

6- 9 L- 5 -5 4 -3 3 у X :9 Howa urah puy

VladimirAG [237]

Answer:

1028284757574622719193495756657472911001202838576 770643j 473745637 1919 84 65727281910e445966 tu 5737272532

5 0

2 years ago

g A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam. We ar

BaLLatris [955]

Answer:

The test statistic is $z = 1.25$

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

$H_0: p = 0.8$

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

$H_a: p > 0.8$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

80% is tested at the null hypothesis:

This means that $\mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4$

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that $n = 100, X = \frac{85}{100} = 0.85$

The test statistic is

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}$

$z = 1.25$

The test statistic is $z = 1.25$

4 0

3 years ago

Evan wants to buy a digital camera that sells for $199.99 if he uses his dicount card he will save 18%. about how much will he s

ikadub [295]

35.99 ROUND IT OFF TO 36.00 SO THAT MEANS HE PAID 163.99
199.99X 18/100
3599.85/100
36

7 0

3 years ago

Write an equation that represents the line. (1,-1),(3,-5)​

Write an equation that represents the line. (1,-1),(3,-5)