A = 1
2 × (15 + 20) × 16
B = 1
2 × 15 × 20 × 10
C = 1
2 × (15 + 20) × 10
D = 1
2 × (10 + 16) × 20

Answer:

Step-by-step explanation:

Midpoint of line segment = (1,-3)

Slope of line segment = (-1-(-5))/(3-(-1)) = -3/2

Perpendicular bisector:

y+3 = ⅔(x-1)

y = ⅔x - 11/9

Given:

The function is

[tex]f(x)=-3x^2+2x-7[/tex]

To find:

The value of f(-1).

Solution:

We have,

[tex]f(x)=-3x^2+2x-7[/tex]

Putting x=-1, we get

[tex]f(-1)=-3(-1)^2+2(-1)-7[/tex]

[tex]f(-1)=-3(1)-2-7[/tex]

[tex]f(-1)=-3-9[/tex]

[tex]f(-1)=-12[/tex]

Therefore, the value of f(-1) is -12.

Given:

The point is B(2,5) and its image is B'(1,2.5).

To find:

The scale factor.

Solution:

If a figure is dilated by the scale factor k and (0,0) is the center of then the scale factor is defined as

[tex]k=\dfrac{\text{x-coordinate of the point on image}}{\text{x-coordinate of the corresponding point on the original figure}}[/tex]

x-coordinate of point B' is 1 and the x-coordinate of point B is 2. So, the scale factor is

[tex]k=\dfrac{1}{2}[/tex]

Therefore, the scale factor is  [tex]\dfrac{1}{2}[/tex] and the correct option is D.

Answer: -1/8 OR -0.125, -2^-3

Step-by-step explanation:

Answer:

BC is 4

Step-by-step explanation:

Use a proportion to solve

AB is 2 (AD is 5 and BD is 3- so 5-3)

[tex]\frac{2}{x} = \frac{5}{10}[/tex]

[tex]5x=20\\x=4[/tex]

Answer:

30???????????

Step-by-step explanation:

The graph formed by equation y= -2/3x+10 will be perpendicular to the graph by equation y=3/2x-10.

A line in the form of ax + by + d = 0 will be a linear equation and if we convert it into the form of y = mx + c where m will be the slope of that equation.

If two lines are perpendicular to each other then the product of their slope of them will be (-1).

⇒  m₁ ₓ m₂ = -1

The slope of line 2x + 3y = 10 will be -2/3

To be any line perpendicular whose slope m with the 2x + 3y = 10

⇒ -2/3 × m = -1

⇒   m = 3/2 so the slope of that line should be 3/2

Hence, line y=3/2x-10 will be perpendicular to the 2x + 3y = 10.

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Answer:

What?

Step-by-step explanation:

Okay, the formula, then what?

Answer:

the answer is v=bh/3

Step-by-step explanation:

I solve for V since you didn't put what letter you wanted the question to be solved for.

hope this helps.

Answer: 4x+8

Step-by-step explanation:

Answer: Samples A and B have the same mean, but Sample A has a larger median then Sample B.

Step-by-step explanation:

The median is the middle number in the sequence.

To find the median, place the numbers in order. Then take away, or cross out, one number from each side. Keep going until you are down to one or two numbers. If there is only one number left, that’s your median. If two, add the numbers together and divide by 2.

The mean is the average. To get the mean you add up all the values and subtract that sum by how many numbers there are in the sequence.

Option D is correct for the given conditions, Samples A and B have the same mean, but Sample A has a larger median than Sample B.

The descriptive summary of a data set is known as the central tendency in statistics. It reflects the center of the data distribution through the use of a single number from the dataset. Additionally, it only provides a summary of the dataset rather than information on specific data within the dataset. In general, several statistical metrics can be used to determine a dataset's central tendency.

Given  the data sets of two sets of quiz scores,

Sample A = 5, 5, 5, 5, 5

sample B = 2, 2, 2, 2, 17

mean is the average of total samples,

mean of sample A = (5 + 5+ 5 + 5 + 5 )/5

mean of sample A = 5

Mean of sample B = (2 + 2 + 2+ 2 + 17)/5

mean of sample B = 5

since the mean of both sample are same,

median is the central digit of sets

median of A is 5 and the median of B is 2,

so the median of sample A is larger than sample B.

Hence option D is correct.

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Answer:

32 times as many bacteria after 5 days

Answer:

Y=X

Step-by-step explanation:

It depends on the context. No number besides 0 is given, so it can't really be the other ones with numbers.

Answer:

the answer is 4

Step-by-step explanation:

5x=16+4

5x=20

X=4

Answer:

Pandemic, Loss In family

Step-by-step explanation:

The global pandemic has really hit small businesses and working Americans, which has caused millions of Americans to lose their jobs, but also small businesses to go out of business. Also during the pandemi, thousands of people have loved their loved ones to the pandemic, which can also lead to them not showing up to work, which could make the employed citize lose their job.

(Hope this helps)

Yours Truely, TheAnimeCatUwU

Answer:

x=-4     y=-7

Step-by-step explanation:

-4x+y=9     get y alone

add 4x both sides

y=4x+9

insert into y=2x+1

2x+1=4x+9

subtract 1 both sides

2x=4x+8

subtract 4x both sides

-2x=8

divide by -2

x=-4

y=2x+1

y=2(-4)+1

y=-8+1

y=-7

check

-4(-4)+(-7)=9

-16+(-7)=9

9=9

x=-4

y=-7

gl

Answer:

H. 0.6

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Hope this helps:)

Answer:

-3/7

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

        [tex]=\frac{8-11}{10-3}\\\\=\frac{-3}{7}\\[/tex]

Answer:

20 is 80 of 25

Explanation:

20x10/8=25

A percentage is a way to describe a part of a whole. 20 is 80% of 25.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the number be x. Therefore, we can write,

80% of x = 20

0.80 × x = 20

x = 20/0.8

x = 25

Hence, 20 is 80% of 25.

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Answer:

$5760

Step-by-step explanation:

Given data

Principal= $8,000

Tax= 28%

Let us compute 28% tax deduction

=28/100*8000

=0.28*8,000

=$2240

Hence the net expenses is

=8000 -2240

=$5760

Answer:

Width = 15 feet

Length = 45 feet

Step-by-step explanation:

You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?

Perimeter of a rectangle = 2L + 2W

The length is 3 times the width.

L = Length = 3W

W = Width

P = 120 ft

Hence:

120 = 2L + 2W

120 = 2(3W) + 2W

120 = 6W + 2W

120 = 8W

W = 120/8

W = 15 feet

Solving for Length

L = 3W

L = 3 × 15 feet

L = 45 feet

Therefore, the dimensions of your very own dog park is

Width = 15 feet

Length = 45 feet

Answer:

Option B

Step-by-step explanation:

Option A, C and D have x- values that repeat and you cannot have that.

Y values can repeat but not x-values.

Option B has all x values with different y-values

Answer:

B.

Step-by-step explanation:

an output can have more than one input but an input can only have one output

basically only one arrow can go from the input to the output and b is the only one who's graph thing is like that

hope this helps <3

Answer:

The answer to this question is A

The new coordinates will be C( 3 ,0),  D( 7,1) , E(2,4) , Option A is the correct answer.

When a object or a figure is reflected , it means an mirror image if the object is being created , the shape and size of the object remains same , Only the coordinates change on the basis of the axis used for Reflection.

The figure is given in the question.

The coordinates of the figure is

C( -3 ,0)

D( -7,1)

E(-2,4)

When reflection is done along any axis , the coordinates of the other axis change sign.

so in this case ( x,y ) -----> ( -x,y)

The new coordinates will be

C( 3 ,0)

D( 7,1)

E(2,4)

Therefore Option A is the correct answer.

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Answer:

T = 12

Step-by-step explanation:

12/6=2

Answer:

They are equivalent.

Step-by-step explanation:

Answer:

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)