All categories

3 years ago

Find the y intercept of -2,5 and 3,25

Mathematics

1 answer:

AlexFokin [52]3 years ago

6 0

Answer:

Y-intercept = 13

Step-by-step explanation:

Since, given points are:

(-2,5) and (3,25)

Now, by slope intercept form:

y= mx + b

Here, m= slope and b= y-intercept

In order to find y-intercept, we must find slope firstly:

Since,

Slope= m= y2-y1 / x2-x1

m= 25 - 5 / 3 - (-2)

m= 20 / 5

m= 4

Put ‘m’ in slope intercept form:

y= 4x + b

Substitute either point into above equation:

25= 4(3) +b

25= 12 + b

25 - 12 = b

or b= 25 - 12

b= 13

Hence, y-intercept is 13.

You might be interested in

If f(x) = -5x – 4 and g(x) = -3x - 2, find (f+ g)(x).

Andrej [43]

Answer: See below

Step-by-step explanation:

(f+g)(x) is another way for saying f(x)+g(x). Since we know f(x) and g(x), we can add them together.

-5x-4+(-3x-2) [distribute the 1 to (-3x-2)]

-5x-4-3x-2 [combine like terms]

-8x-6

(f+g)(x) is -8x-6. You can also factor this.

1. Factoring

-2(4x+3)

4 0

3 years ago

Find area of the shaded region.

Monica [59]

Answer:

The area of the shaded region is about 38.1 square centimeters.

Step-by-step explanation:

We want to find the area of the shaded region.

To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.

The given circle has a radius of 6 cm.

And the given sector has a central angle of 150°.

The area for a sector is given by the formula:

$\displaystyle A=\pi r^2\cdot \frac{\theta}{360^\circ}$

In this case, r = 6 and θ = 150°. Hence, the area of the sector is:

$\displaystyle \begin{aligned}A&=\pi(6)^2\cdot \frac{150}{360}\\ &=36\pi\cdot \frac{5}{12}\\&=3\pi \cdot 5\\&=15\pi \text{ cm}^2\end{aligned}$

Now, we can find the area of the triangle. We can use an alternative formula:

$\displaystyle A=\frac{1}{2}ab\sin(C)$

Where a and b are the side lengths, and C is the angle between them.

Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.

And the angle C is 150°. Hence, the area of the triangle is:

$\displaystyle A=\frac{1}{2}(6)(6)\sin(150)=18\sin(150)$

The area of the shaded region is equivalent to the sector minus the triangle:

$A_{\text{shaded}}=A_{\text{sector}}-A_{\text{triangle}}$

Therefore:

$A_{\text{shaded}}=15\pi -18\sin(150)$

Use a calculator:

$A_{\text{shaded}}=38.1238...\approx 38.1\text{ cm}^2$

The area of the shaded region is about 38.1 square centimeters.

6 0

3 years ago

PLS HELP ME.

yarga [219]

Answer:

15092cm^3

Step-by-step explanation:

The total thickness of the strip of metal sheet would be 2*10=20cm

the new radius of the cylinder would be 9/2+20=24.5cm

Volume of a cylinder: ((pi)r^2)h

the height is 8cm

Volume : (22/7)*24.5^2*8

=15092cm^3

7 0

3 years ago

A gardener needs to move 2,782 pounds of dirt. He can carry 96 pounds in his wheelbarrow. How many trips will he need to make wi

svp [43]

Answer:

28.9

Step-by-step explanation:

2782 divied by 96 gives you 28.9.

7 0

3 years ago

5x-5=3x +17<br> what is the answer?

Ratling [72]

Answer:

5x-5=3x +17 So were solving for x The answer would be =11

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers