All categories

2 years ago

What is the y-intercept of the line describe by the equation below? Y=5x-22

Mathematics

1 answer:

dexar [7]2 years ago

8 0

Answer:

The y intercept is (0,-22)

Step-by-step explanation:

The y intercept is the value when x =0

Y=5x-22

y = 5*0 -22

y = -22

The y intercept is (0,-22)

You might be interested in

Factor completely 54x4 + 2x

Margarita [4]

Answer:

2x+216

Step-by-step explanation:

The answer was easy to get because to factor you would just multiply the two numbers together to get 54x4 = 216 and then add the 2x, so your answer is 216+2x

4 0

2 years ago

Imagine a situation where a person is using a garden hose to fill the child’s pool. Think of two quantities that are related in

Lunna [17]

Volume of the child's pool.

Time taken by hose pipe to fill the pool

Step-by-step explanation:

To form a function in the given situation, the two quantities related can be time and the amount to be filled , i.e the time taken by a hose pipe to fill the given volume of the child's pool. Time in the formed function can be represented to be directly proportional to the volume and the speed of the water through hose pipe can tell how long it it takes, i.e how much time will it take to fill the given volume of pool.

4 0

3 years ago

Find the sum of the first six terms of the sequence. S6 = ⇒ 84

k0ka [10]

Answer:

Explained below.

Step-by-step explanation:

Consider the series is a set of first 6 natural numbers.

Sum of first n terms is:

$\text{Sum of n terms}=\frac{n(n+1)}{2}$

$\text{Sum of first 6 terms}=\frac{6(6+1)}{2}$

$=3\times7\\=21$

Consider the series is an arithmetic sequence.

Sum of first n terms is:

$S_{n}=\frac{n}{2} [2a+(n-1)d]$

Here,

a = first term

d = common difference

Consider the series is an geometric sequence.

Sum of first n terms is:

$S_{n}=\frac{a_{1}\cdot(1-r^{n})}{(1-r)}$

Here,

a₁ = first term

r = common ratio

7 0

2 years ago

What is the approximate area of a sector given O= 56 degrees with a diameter of 12m?

jeyben [28]

Area of sector is 17.584 meters

Solution:

Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m

Diameter = 12 m

Radius = Diameter / 2 = 6 m

An angle of 56 degrees is the fraction $\frac{56}{360}$ of the whole rotation

A sector of a circle with a sector angle of 56 degrees is therefore also the fraction $\frac{56}{360}$ of the circle

The area of the sector will therefore also be $\frac{56}{360}$ of the area

$\text{ sector area } = \frac{56}{360} \times \pi r^2\\\\\text{ sector area } = \frac{56}{360} \times 3.14 \times 6^2\\\\\text{ sector area } = 17.584$

Thus area of sector is 17.584 meters

3 0

2 years ago

Find the exact value of cot 7pi/4 & sec13pi/6 including quadrant location

Gennadij [26K]

First we will convert those radian angles to degrees, since my mind works better with degrees. Let's work one at a time. First, $\frac{7 \pi }{4} * \frac{180}{ \pi }=315$ . If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis. The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2. The cotangent of this angle, then is 1/-1 which is -1. As for the second one, converting radians to degrees gives us that $\frac{13 \pi }{6} * \frac{180}{ \pi } =390$ . Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis. The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2. Therefore, the secant of that angle is 2/√3.

3 0

3 years ago