MATHEMATICS HIGH SCHOOL

A rectangle has an area of 100 cm². The base of the rectangle is 25 cm.What is the height of the rectangle?

4 cm

10 cm

76 cm

2400 cm

Answers

Answer 1
Answer:    
\displaystyle\n \bold{A = b * h} \n \n A = 100~cm^2 \n b = 2~ccm\n h = ?\n\n h = (A)/(b) =(100~cm^2)/(25~cm) = \boxed{4~cm}

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Explain what the point (20,160) represents in the context of the situation? Check all boxes that apply A. 160 shirts cost $20B. 20 shirts cost $160
C. 20,160 shirts cost money
D. The total cost of shirts is 20,160

Answers

Answer:

option B is correct option.

Step-by-step explanation:

Explain what the point (20,160) represents in the context of the situation? Check all boxes that apply

Looking at the graph we come to know that 20 shirts cost $160 because x -axis represent number of shirts and y-axis represent Total Cost

So, the point(20,160) means x = 20 and y=160

We have 20 shirts and the cost is $160

So, option B is correct option.

an expression is shown: 8^2/(-4)^2+(-1/2) x 2^3 group of answer choices 64/-8 + 6/-2 -11 64/16 +8/-2 0

Answers

Answer:

0

Step-by-step explanation:

To simplify the given expression, let's follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.

First, we have exponents:

8^2 = 8 * 8 = 64

(-4)^2 = -4 * -4 = 16

2^3 = 2 * 2 * 2 = 8

Next, let's evaluate the multiplication:

(-1/2) x 2^3 = (-1/2) x 8 = -4

Now, we can perform the division:

8^2 / (-4)^2 = 64 / 16 = 4

Finally, let's simplify the expression by performing the remaining additions and subtractions:

4 + (-4) = 0

Therefore, the correct answer is 0.

9/35 x 7/16 x 20/21 =

show work

Answers

(9)/(35)\cdot(\not7^1)/(16)\cdot(20)/(\not21_3)=(9)/(35)\cdot(1)/(\not16_4)\cdot(\not20^5)/(3)=(\not9^3)/(35)\cdot(1)/(4)\cdot(5)/(\not3_1)=(3)/(\not35_7)\cdot(1)/(4)\cdot(\not5^1)/(1)\n\n=(3)/(7)\cdot(1)/(4)\cdot(1)/(1)=(3\cdot1\cdot1)/(7\cdot4\cdot1)=(3)/(28)

derive the equation of the parabola with a focus at (4,-7) and a directrix of y=-15. put the equatiom in standard form

Answers

Answer:

The equation of the parabola with a focus at (4,-7) and a directrix of y=-15 is y=(x^(2))/(16)-(x)/(2)-10

Step-by-step explanation:

we need to drive the equation of the parabola with a focus at ( 4, -7) and a directrix of y= -15

From the given focus ( 4, -7) and equation of directrix  y = - 15 calculate p

p=(1)/(2)(y_0-y)

where y_0 is is ordinate of focus and y is equation of directrix.

p=(1)/(2)(-7-(-15))

p=(1)/(2)(-7+15)

p=(1)/(2)(8)

p=4

Calculate the vertex (h,k)

h=4\; \text{and}\; k=(-7+(-15))/(2)=-11

vertex (h,k) =(4,-11)

Since, vertex  form is :

(x-h)^(2)=4p(y-k)       (positive 4p shows it open upward)

(x-4)^(2)=4(4)(y-(-11))

(x-4)^(2)=16(y+11)

x^(2)+16-8x=16y+176

subtract both the sides by 176,

x^(2)-8x-160=16y

Divide both the sides in above by 16,

(x^(2))/(16)-(8x)/(16)-(160)/(16)=y

(x^(2))/(16)-(x)/(2)-10=y

Hence, the equation of the parabola with a focus at (4,-7) and a directrix of y=-15 is  y=(x^(2))/(16)-(x)/(2)-10
\sqrt{(x_(0) - 4)^(2) + (y_(0) - (-7))^(2)} = |y_(0) - (-15)|
(\sqrt{(x_(0) - 4)^(2) + (y_(0) + 7)^(2))^(2)} = (y_(0) + 15)^(2)
(x_(0) - 4)^(2) + (y_(0) + 7)^(2) = (y_(0) + 15)^(2)
(x_(0)^(2) - 8x_(0) + 16) + (y_(0)^(2) + 14y_(0) + 49) = y_(0)^(2) + 30y_(0) + 225
x_(0)^(2) + y_(0)^(2) - 8x_(0) + 14y_(0) + 16 + 49 = y_(0)^(2) + 30y_(0) + 225
x_(0)^(2) + y_(0)^(2) - 8x_(0) + 14y_(0) + 65 = y_(0)^(2) + 30y_(0) + 225
x_(0)^(2) - 8x_(0) - 16y_(0) - 160 = 0
16y_(0) = x_(0)^(2) - 8x_(0) - 160
(16y_(0))/(16) = (x_(0)^(2) - 8x_(0) - 160)/(16)
y_(0) = (1)/(16)x_(0)^(2) - (1)/(2)x_(0) - 10
y = (1)/(16)x^(2) - (1)/(2)x - 10

9(n+3)=7n-3 and steps please

Answers

The value of n in the given expression is -15

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

For example : - 3y+4, 8u+8, 9i+5, a+2, a+c etc.

Given that, an expression, 9(n+3) =7n-3, we need to find the value of n

Solving for n,

9(n+3) =7n-3

Using distributive property,

9n + 27 = 7n -3

Combining like terms, by transposing,

9n - 7n = -3-27

2n = -30

Diving by 2 both sides

n = -15

Hence, the value of n in the given expression is -15

Learn more about expressions, click;

brainly.com/question/14083225

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9n + 27 = 7n -3
2n + 27 = -3
2n = -30
n = -15

What is the value of Y of a triangle with
3y+13
5y-5
2y+2

Answers