MATHEMATICS HIGH SCHOOL

What is the distance between points (5, 5) and (1, 5) on a coordinate plane? units

Answers

Answer 1

Answer:

The distance between points (5, 5) and (1, 5) on a coordinate plane is 4 units.

Given the following points:

Points on the x-axis = (5, 1)

Points on the y-axis = (5, 5)

To find the distance between the given points on a coordinate plane:

Mathematically, the distance between points on a coordinate plane is given by the formula:

$Distance = √((x_2 - x_1)^2 + (y_2 - y_1)^2)$

Substituting the given points into the formula, we have;

$Distance = √((1 - 5)^2 + (5 - 5)^2)\n\nDistance = √((-4)^2 + (0)^2)\n\nDistance = √(16)$

Distance = 4 units.

Answer 2

Answer: √[(5-1)² + (5-5)²]
√[16+0]
√(16)
+4 or -4 units

I hope this helped :D

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A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 295 square yards. The situation is modeled by the equation h^2 + 5h = 295. Use the Quadratic Formula to find the height that will give the desired area. Round to the nearest hundredth of a yard. A: 17.36 yards
B: 600 yards
C: 14.86 yards
D: 29.71 yards

Answers

Answer:

The height is 14.86 yards ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- The flower garden in the shape of a trapezoid

- The shorter base to be 3 yards greater than the height

- The longer base to be 7 yards greater than the height

- The area must be 295 square yards

- The situation is modeled by the equation h² + 5h = 295

- We want to find the height that will give the desired area by using

the quadratic formula

- The quadratic formula is $h=\frac{-b+-\sqrt{b^(2)-4ac}}{2a}$ ,

where a is the coefficient of h² and b is the coefficient of h and c

is the numerical term

- The equation of the area is h² + 5h = 295

∵ h² + 5h = 295

- Subtract 295 from both sides

∴ h² + 5h - 295 = 0

- Lets find the values of a , b and c from the equation

∵ a = 1 , b = 5 , c = -295

∴ $h=\frac{-5+-\sqrt{(5)^(2)-4(1)(-295)}}{2(1)}$

∴ $h=(-5+-√(25+1180))/(2)$

∴ $h=(-5+√(1205))/(2)=14.86$

- OR

∴ $h=(-5-√(1205))/(2)=-19.86$

- The dimensions of any figure must be positive value, then we will

neglect the negative value of h

∴ h = 14.86

* The height is 14.86 yards

Answer:

C: 14.86 yards

Step-by-step explanation:

to solve a quadratic equation we need to make it equal to zero and then use the Quadratic Formula

$x= \frac{-b + \sqrt{b^(2)-4ac}}{2a} / \frac{-b - \sqrt{b^(2)-4ac}}{2a}$

having

$h^(2) +5h-295=0$

we have

a=1

b=5

c=-295

the answers for the formula are

h=14.85 and h=-17.36

as we are looking for a distance we can only take the positive answer, then

h=14.85

If the circumference of a circle is 8 pi what is the area of the circle

Answers

The equation for this problem would be A=C^2 divided by 4pi. Plugging in with the numbers it would be, 8pi^2 / 4pi. This then comes to the new equation 64pi / 4 pi when solving this it comes to the solution if 16 being the answer.

Answer: 16

8pi=c
8=d
4=r
4^2pi=a
a=16pi

The difference of six times a number and 7 is -49

Answers

6x - 7 = -49
+ 7. +7
6x = -42
x = -7

At camp last summer the ratio of boys to girls was 3:5 if there was a total of 160 campers how many girls were there

Answers

I believe there is 100 girls or something close to that.

I NEED HELP ASAP IT'S A UNIT TEST AND TIMED. I WILL BE SO GRATEFUL!Write a polynomial functions f(x) that contains the roots -4 and i, where i is the imaginary unit. Write your answer in standard form. Assume that the leading coefficient is 1.

Please show why. I have to "show my work." ;-;

Answers

Answer:

Picture

I hope this is helpful

Step-by-step explanation:

Pls brainlest

What is the simplified form of the following expression? 6c^2 + 2.5d - d + 2c^2 - 3d

Answers

Answer:

The simplest form would be:

8c² - 1.5d

Explanation:

To simplify an expression, we need to gather the like terms.

Like terms are the ones having the same variable raised to the same power

In the given expression:

6c² + 2.5d - d + 2c² - 3d

We have terms having c² and terms having d.

Therefore, we would gather them as follows:

6c² + 2.5d - d + 2c² - 3d

(6+2)c² + (2.5-1-3)d

8c² - 1.5d ......................> This is the simplest form

Hope this helps :)

for this you have to combine like terms, so the answer is:
8c^2-1.5d

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