MATHEMATICS HIGH SCHOOL

Y=(x-1)^2+2 find the y-intercept

Answers

Answer 1

Answer:

Answer:

(0,3)

Step-by-step explanation:

So we have the equation:

$y=(x-1)^2+2$

Recall what the y-intercept is. The y-intercept is when the graph crosses the y-axis. Therefore, at that point, the x-value is 0. So, to find the y-intercept, substitute 0 for x. Thus:

$y=(0-1)^2+2$

Subtract:

$y=(-1)^2+2$

Square:

$y=1+2$

Add:

$y=3$

So, the y-intercept is at (0,3).

And we're done!

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Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?f(x) = –x2 – 8x – 16 f(x) = –x2 + 8x – 16 f(x) = –x2 – 8x + 16 f(x) = –x2 + 8x + 16
42 decreased by the product of 12 and a number is 6.

The temperature dropped by −2.5 Celsius degrees for 5 consecutive days. What was the total decrease in temperature over the 5-day period, expressed as a signed number?

Answers

If the temperature dropped by -2.5 for 5 days, then multiply -2.5 and 5 to get the total decrease.
(-2.5)(5) = -12.5
Over the 5-day period, the temperature dropped by -12.5 degrees Celsius.
Hope that helps!!

-12.5

20 charrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

75% of a number is 120. what is 40% of the number?

Answers

75%= 3/4
120*4=480
480/3=160
160/10=16
16*4=64
Hope you understand it

a car travels a distance of 300 km at an average speed of 65km/h ,how long does it take to cover the distance?

Answers

Answer:

4 hours and 40 minutes

Step-by-step explanation:

speed = distance/time

distance/speed = time

300/65 = 4.615 hours

0.615 x 60 = 36.9

= 4 hours and 40 minutes

Two vertices of a right triangle are (0,1) and (0,6). The area of the triangle is 10 square units. Which point could be the third vertex of the triangle?

Answers

The correct answer for the question that is being presented above is this one: "(4,1)."

The distance from (0,1) to (0,6) is 5 units.
The area of a triangle is
Area = bh/2
10 = 5b/2
20 = 5b
b = 4

The distance of the base is 4 units. So, from (0,1) count 4 units to the right but on the same y coordinate.

So the point is in (4, 1).

The composite figure is made up of a triangle, a square, and a trapezoid. Find the area.

Answers

The area of the composite figure is 57 square units.

What is the area of a triangle?

The area of a triangle is the half of the product of the base and the height of the triangle.

What is the area of a square?

The area of a square is the square of the side length of the square.

What is the area of a trapezoid?

The area of a trapezoid is the half of the product of the sum of the parallel sides and the height of it.

Given, the base of the triangle is 4 units and height is 3 units.

Therefore, the area of the triangle is

$= (1)/(2)(base)(height)$

$= (1)/(2)(4)(3)$ square units

$= 6$ square units

The square has a side length of 4 units.

Therefore, the area of the square is

$= 4^(2)$ square units

$= 16$ square units

The trapezoid has a height of 5 units and two parallel sides of 6 units and 8 units.

Therefore, the area of the trapezoid is

$= (1)/(2)(height)$ × (sum of the parallel sides)

$= (1)/(2)(6 + 8)(5)$ square units

$= 35$ square units

Therefore, the area of the composite figure

$= (6 + 16 + 35)$ square units

= 57 square units

Learn more about the area of a triangle, square and trapezoid here: brainly.com/question/15880803

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Answer by JKismyhusbandbae: The answer is 49.

You wanna calculate the triangle and trapezoid and the square separately and add all the them together.

What is the dividend in this problem 52.05 = 5=? * A) 52.05 B) 5 C) 0.05 D) 0.01

Answers

Answer) your answer is A

The reason that is your answer is because, the others are not able to be your answers on the fact of there to small for it to work and another being the correct answer is the only logical and the only answer that makes sense...

I hope this helps you and is correct

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