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3 years ago

Select the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4.

Mathematics

1 answer:

Dvinal [7]3 years ago

7 0

Answer:

$\large \boxed{y + 1 = 4(x - 1)}$

Step-by-step explanation:

The point-slope formula for a straight line is

y - y₁= m(x - x₁)

x₁ = 1; y₁ = -1; m = 4

Substitute the values

$\begin{array}{rcl}y - (-1) & = & 4(x - 1)\\y + 1 & = & 4(x - 1)\\\end{array}\\\text{The equation for the line in point-slope form is $\large \boxed{\mathbf{y + 1 = 4(x - 1)}}$}$

The figure shows the graph of the equation with slope 4 passing through (1, -1).

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Samantha works in the bakery. She sells 136 loaves of bread in 8 hours. How many loaves of bread does she sell on average per ho

Korvikt [17]

Answer:

17 loaves of bread/hour

Step-by-step explanation:

136/8= 17

6 0

3 years ago

The velocity v and maximum height h of the water being pumped into the air are related by the equation v=\sqrt(2gh) where g is t

Whitepunk [10]

The velocity v and maximum height h of the water being pumped into the air are related by the equation

v= $\sqrt{2gh}$

where g = 32

(a) To find the equation that will give the maximum height of the water , solve the equation for h

v= $\sqrt{2gh}$

Take square root on both sides

$v^2$ = 2gh

Divide by 2g on both sides

$\frac{v^2}{2g}$ = h

So maximum height of the water h = $\frac{v^2}{2g}$

(b) Maximum height h= 80

velocity v= 75 ft/sec

Given g = 32

h = $\frac{v^2}{2g}$

h = $\frac{75^2}{2*32}$

h= 87.89 ft

The pump withe the velocity of 75 ft/sec reaches the maximum height of 87.89 feet. 87.86 is greater than the maximum height 80 feet.

So the pump will meet the fire department needs.

8 0

3 years ago

Find the measure of angle 3

OlgaM077 [116]

Answer:

The measure of angle 3 is 42

8 0

2 years ago

1. A heterozygous white-fruited squash plant is crossed with a yellow-fruited plant, yielding 200 seeds. of these seeds, 110 pro

garri49 [273]

Answer:

Part 1 , not significant

Part II, significant

Step-by-step explanation:

Given that a heterozygous white-fruited squash plant is crossed with a yellow-fruited plant, yielding 200 seeds. of these seeds, 110 produce white-fruited plants while only 90 produce yellow-fruited plants

$H_0: Both colours are equally likely\\H_a: Both colours are not equally likely$

(Two tailed chi square test)

We assume H0 to be true and find out expected

If H0 is true expected would be 100 white and 100 yellow

Chi square = $\Sigma \frac{(O-E)^2}{E} \\=\frac{(110-100)^2}{100} +frac{(90-100)^2}{100} \\=2$

df = 1

p value = 0.152799

Since p value > 0.05 at 5% level we accept that the colours are equally likely

Here observed are 1100 and 900

Expected 1000 & 1000

df = 1

Chi square = $\frac{20000}{100} =200$

p value <0.0001

These results are here statistically significant.

8 0

3 years ago

Find the value of x in the triangle shown below.<br> 6<br> 10

Jobisdone [24]

Answer:

Step-by-step explanation:

The value of x is 50 degrees

bcoz it is isosceles triangle

so two angles are equal

so value of x is 50

I hope this will help u

3 0

2 years ago

Read 2 more answers