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1 year ago

Equation with a slope of -4 and goes through the point (-1,1)

Mathematics

1 answer:

spin [16.1K]1 year ago

8 0

<h2>SOLVING</h2>

$\Large\maltese\underline{\textsf{A. What is Asked}}$

What's the equation with a slope of -4 that goes through (-1,1)? find it

$\Large\maltese\underline{\textsf{B. This problem has been solved!}}$

The equation used, here is $\bf{y-y1=m(x-x1)}$ .

$\bf{y-1=-4(x-(-1)}$ | simplify after putting in the information given

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

$\rule{300}{1.7}$

$\bf{Result:}$

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

$\boxed{\bf{aesthetic\not101}}$

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The length of a rectangular garden is 3 yards more than its width. The area of the garden is 40 square yards. Find the length of

Goryan [66]

Answer:

length=8 , wide=5

Step-by-step explanation:

Let length=x and wide=y

convert the question into two equations

3+y=x .......1

xy=40 .......2

so we need to substitute x into y or y into x

x=3+y ,

(3+y)y=40

y²+3y=40

y²+3y-40=0

from that use calculator or manually factorise it

(y+8)(y-5)=0

y= –8 , y=5

we need to choose positive answer so y=5

then find for x

5x=40

x=8

4 0

3 years ago

What is the approximate radius of a sphere with a volume of 1436cm to power of 3

Margarita [4]

Answer:

<h3>The radius is 7 cm</h3>

Step-by-step explanation:

Volume of a sphere is given by

$V = \frac{4}{3} \pi {r}^{3}$

where r is the radius

From the question V = 1436 cm³

$1436 = \frac{4}{3} \pi {r}^{3}$

Multiply through by 3

We have

$4308 = 4\pi {r}^{3}$

Divide both sides by 4π

${r}^{3} = \frac{4308}{4\pi}$

${r}^{ 3} = \frac{1077}{\pi}$

Find the cube root of both sides

$r = \sqrt[3]{ \frac{1077}{\pi} }$

r = 6.99

We have the final answer as

Hope this helps

3 0

2 years ago

Why do you think you need to add zero pairs to get the -1- tiles to fit in the rectangle?

Olin [163]

You will need. 1- to fit the rectangle tile in

7 0

2 years ago

The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the ne

Aloiza [94]

Given:

Volume of a sphere is $\dfrac{28}{3}$ times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

$V=\dfrac{4}{3}\pi r^3$ ...(i)

Surface area of a sphere:

$A=4\pi r^2$ ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is $\dfrac{28}{3}$ times the surface area.

$V=\dfrac{28}{3}\times A$

$\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2$

Multiply both sides by 3.

$4\pi r^3=112\pi r^2$

$\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}$

$r=28$

Using (i), the volume of the sphere is:

$V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3$

$V\approx 91989$

Using (ii), the surface area of the sphere is:

$A=4\times \dfrac{22}{7}\times (28)^2$

$A=9856$

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

3 0

3 years ago

In order for the parallelogram to be a rhombus, x=?

stealth61 [152]

$\\ \large\sf\longmapsto x + 15 = 2x - 40 \\ \\ \large\sf\longmapsto x - 2x = - 40 - 15 \\ \\ \large\sf\longmapsto - x = - 55\\ \large\sf\longmapsto x = 55$

6 0

2 years ago

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