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3 years ago

What is the equation of the line that has a slope of 1 and passes through the point (8,6)?

Mathematics

1 answer:

Airida [17]3 years ago

7 0

Answer:

The equation of this line in point-slope form would be y - 6 = (x - 8)

Step-by-step explanation:

In order to find this, we simply plug into the point-slope form using the known information.

y - y1 = m(x - x1)

y - 6 = 1(x - 8)

y - 6 = x - 8

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Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload y

Ivahew [28]

Answer:

x=7/6

Step-by-step explanation:

subtract the 4x from both sides of the equation

(2x+6)-4x=4x-3-4x

find common denominator

(2x+6)/5+(5(-4)x)/5=4x-3-4x

then combine fractions

(2x+6+5(-4)x)/5=4x-3-4x

then multiply the 5&4

(2x+6-20x)/5= 4x3-4x

combine terms

(-18x+6)/5= -3

then multiply everything by 5

-18x+6= -15

subtract the 6 from both sides

-18x= -21

divide -21 by -18

(-21)/(-18)=x

find greatest common multiple (3) and solve

x = 7/6

4 0

2 years ago

Joann has decided to purchase a new car. What should she do next according to the decision-making process?

Luda [366]

Make shore she has enough money for the car. get insurance before getting a car.Then go to a good dealership not one that cheats you believe my there people out there that do that then the rest is up to u hope that HELPED.

8 0

3 years ago

All vertical and horizontal cross sections of any one cube are all the same size and shape. What about vertical and horizontal c

svetlana [45]

Horizontal cross sections are the same shape: they are all squares if the pyramid is square or rectangles if the pyramid is a rectangle pyramid.
Vertical cross sections are different shape: At the pyramid top they are triangles, at other places they have four sides.

Horizontal cross sections are different size: the more we go to the top of the pyramind, the smaller they get.
Vertical cross sections are different size: the closer we get to the edges, the smaller they become.

8 0

3 years ago

(1 point) Divide and simplify your answer.

VashaNatasha [74]

Answer:

18.174x

Step-by-step explanation:

5 0

2 years ago

What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?

vodka [1.7K]

For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is $V=Bh$ , the volume of a pyramid/cone is $V=\frac{1}3Bh$ .

In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is $A=\pi r^2$ where r is the radius.
$A=\pi (4)^2=\pi (4\times4)=16\pi=B$

We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.

$V=\frac{1}3\times16\pi \times9$

Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.

$V\approx\frac{1}3\times50.24\times9$

We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.

$V\approx3\times50.24$

$\boxed{V\approx150.72\ cm^3}$

8 0

3 years ago

Read 2 more answers