Which of the following indicates that AABC and ADEF are similar?

Answer:

y= -3/2x - 3/2

Step-by-step explanation:

So you know the gradient of the line is -3/2x since that is the gradient.

So the equation so far is y=-3/2x +c

Then, substitute the co-ordinates to find c so:

-3 = -3/2 +c

-3/2 = c

The equation is y = -3/2x -3/2

Answer:

672 litres.

Step-by-step explanation:

Convert the measurements to cm:

14 m = 1400 cm

The capacity = 1400 * 8 * 60

= 672,00 cm^3

There are 1000 cm^3 in 1 litre so the answer is

672 litres.

The equation of the line passing through these two points (1, 2) and (3, 8) will be y  = 3x – 1. Then the correct option is C.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The points are (1, 2) and (3, 8).

Then the equation of the line passing through these two points (1, 2) and (3, 8) will be

[tex]\rm (y - 2) = \dfrac{ 8- 2}{3-1} (x - 1)[/tex]

On simplifying the equation, we have

y - 2 = 3(x – 1)

y - 2 = 3x – 3

   y  = 3x – 1

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Answer: D (bottom option)

Axis of Symmetry: x = -8

Vertex: (-8, -40)

Y-Intercept: 24

Step-by-step explanation:

Start by putting the equation into vertex form, which you can do by completing the square. This means the equation will in the form [tex]y=a(x-h)^2+k[/tex].

Once you've done that, you'll get [tex]y=(x+8)^2-40[/tex]. This means that h = -8 and k = -40, so the vertex is (-8, -40) because vertex form is (h, k).

The axis of symmetry is x = -8, because the axis of symmetry is x = h.

Answer:

17

Step-by-step explanation:

10=7-m

m=???

so if you do 10+7 which equal 17 and then do 17-7 you will get ten

m=17

have a good day

Answer:

the answer is -3

Step-by-step explanation:

10 = 7 -m

swap sides so that all the variable terms are on the left hand side

7 - m =10
subtract 7 from both sides

-m + 10 - 7

subtract 7 from 10 to get 3

multiply both sides by -1

m = -3

Answer:

-4 and -8

Step-by-step explanation:

(x+4)(x+8) = 0

x+4 = 0 or x +8 = 0

x = -4 or x = -8

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,

[tex]A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}[/tex]

Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.

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Answer:

$70.76 or 70.7595

Step-by-step explanation:

Here’s the function:

67.39(1+0.05)^1

Hope this helps! ;-)

Answer:

[tex](x - 3) \: (x - 8)[/tex]

Step-by-step explanation:

We were given the equation:

[tex] {x}^{2} - 11x + 24 = 0[/tex]

Therefore in order to factorize we first need to find the numbers that add to be equal to -11 and multiply to be equal to 24. The two numbers are:

[tex] - 8 \: and \: - 3 \\ \\ - 8 + ( - 3) = - 11 \\ - 8 \times - 3 = 24[/tex]

So the new equation is

[tex]{x}^{2} - 8x - 3x + 24 = 0 \\ \\ factorize: ( {x}^{2} - 8x) \: ( - 3x + 24) = 0 \\ \\ x(x - 8) \: - 3(x - 8) \\ \\ therefore : (x - 3) \: ( x - 8) = 0[/tex]

Answer:

Step-by-step explanation:

Comment

There are a lot of choices. Luckily the middle term is minus and the third term is plus, so you don't have to juggle minus signs around. Both factors are minus when put together with x.

-3 - 8

-4 - 6

-2 -12

-1 - 14

I think these are all the possible factors.

-4 + - 6 = - 10  Not the answer. It needs to be - 11

-2 + -12 = -14  Not the answer. It needs to be - 11

-1 + - 24 = -25 Just about as far away as you can get. Not the answer

So A must be right

-3 + -8 = - 11

That's what it should be. So the factors are

Answer:

(x -3)(x - 8)= x^2 - 11x + 24

Answer: Solution- (10,4)

Step-by-step explanation:

x-2y=2   x-y=6              x-2(4)=2

-1(x-y=6)                        x-8=2

-x+y=-6                         +8  +8

                                      x=10

x-2y=2                            

-x+y=-6                           10-2(4)=2

-y=-4                                10-8=2

-1   -1                                  2=2

y=4

Answer:

384 square centimeters

Step-by-step explanation:

The surface area formula for a cube is 6L^2

(L=length or in this case edge)

Plug in values and solve the formula.

SA=6L^2

SA=6(8^2)

SA=6(64)

SA=384 square centimeters

====================================

[tex]\large \sf \underline{Problem:}[/tex]

The weight of the rectangle is 80 grams.

The weight of the triangle is double the weight of the

circle.

Determine the weight of the circle.

====================================

[tex]\large \sf \underline{Answer:}[/tex]

Rectangle has four sides. The total weight of the circle is 20 grams.

====================================

[tex]\large \sf \underline{Explanation:}[/tex]

What is a rectangle?

A rectangle is a 2D shape that has four sides, and the pair of opposite sides are equal and parallel to each other.

As it is given that the weight of the rectangle is 80 grams, and a rectangle is made up of two triangles. Therefore, the weight of each triangle can be written as,

[tex]Weight \: of \: the \: reactangle \: = \frac{80}{2} = 40 grams[/tex]

It is given that the total weight of the triangle is double the weight of the circle. therefore, the relationship can be written as,

[tex]Weight \: of \: the \: triangle = 2x \\ Weight \: of \: the \: circle \: \\ 40 = 2 \times Weight \: of \: the \: circle

[/tex]

[tex]Weight \: of \: the \: circle = 20 grams[/tex]

Hence, the total weight of the circle is 20 grams.

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====================================

Hence the weight of the circle is 20 grams.

Answer:

Solution Given:

Weight of rectangle =80grams

we know that

twice the weight of triangle =weight of rectangle

2*weight of triangle =80 grams

weight of the triangle = 80/2=40 grams

again

The weight of the triangle is double the weight of the

circle.

weight of the circle=½*weight of triangle

=½*40=20grams

Answer:

r = -7

Step-by-step explanation:

-4 + 2r - 5r = 17

=> 2r - 5r = 17 + 4

=> -3r = 21

=> r = 21/(-3)

=> r = -7

The provided graph is not a function because  it touches the graph more than one point.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have given a graph of a function.

We can check the whether the given graph is a function or not by drawing a vertical line if the vertical line touches the graph more than two points then the graph is not a function.

The given graph is not a function because it touches the graph more than one point.

Thus, the provided graph is not a function because  it touches the graph more than one point.

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Answer:

  $37,500

Step-by-step explanation:

The amount of the fee is the product of the fee rate and the amount to which that rate is applied.

__

  3.75% × $1,000,000 = 0.0375 × $1,000,000 = 37.5 × $1000

  = $37,500

The fee on a $1M loan could range up to $37,500.

_____

Additional comment

If you're computing this by hand, it can be easier to (a) use scientific notation, or (b) adjust the decimal points as we have shown here. In this case, we multiplied the percentage by 1000 and divided the loan amount by 1000. The product remains the same, but the numbers are easier to deal with.

In scientific notation, this is 3.75E-2 × 1E6 = 3.75E4 = 37.5E3 = 37,500, where the "E" notation would be that used by a calculator or spreadsheet.

Answer:

The range of the function is [0 , ∞) ⇒ answer B. Step-by-step explanation: * lets revise the meaning of the domain and the range - The domain is the values of x - The domain is all the values of x which make the function is defined - If there are some values of x make the function undefined, we exclude these values from the domain

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Graph 1 : y = -3x + 3

Graph 2 : y = 6x + 6

Graph 3 : y = 6x + 9

Graph 4 : y = -7x + 1

Recall slope intercept form of a line

where b is y intercept

Whatever m be b is constant for line .

So we can find the equations through y intercepts

#1

The most probable according to our options is 3

So equation is

#2

Y intercept just over 5 .It must be 6

#3

y intercept around 10

.Most probable according to options is 9

#4

Just above the origin the y intercept is present.

Alone, this shape cannot have the area solved in one step.  So, you must break it up into multiple pieces.

For this, we can break it up into a rectangle, and a right triangle.

The area formula for a rectangle is [tex]area = l*w[/tex]

The area formula for a right triangle is [tex]area = \frac{1}2} b*h[/tex]

To find the area of the rectangle, multiply 14 * 18 = 252 m^2

To find the length of the triangle, subtract 20 - 14 = 6

To find the height of the triangle, subtract 18 - 11 = 7

So, it is [tex]\frac{1}{2} 6*7[/tex] = 21 m^2

21 + 252 = 273 meters squared

Hope this helps, feel free to ask any questions

- Jeron    :)

Answer:

$134.89.

Step-by-step explanation:

Monthly interest = 0.06/12 and its for 5*12 months.

Amount after 5 years = 100(1 + 0.06/12)^(5*12)

= 100(1 + 0.06/12)^60

= $134.89

Answer:

use The Law of Cosines first to calculate the largest angle. then use The Law of Sines to find another angle. and finally, use the angles of a triangle add to 180° to find the last angle.

Step-by-step explanation:

The scalene triangle is a type of triangle with sides of three different lengths and angles of three different measurements. In every scalene triangle, the shortest side is opposite the smallest angle and the longest side is opposite the largest angle.

Answer:

The 6 is in the ten-thousands place

Step-by-step explanation:

6 written as a ten-thousand is 60,000

[tex]\lim \limits_{x \to \infty} \sqrt{x^2 +x(2a+2b) +4ab-x}\\\\\\=\lim \limits_{x \to \infty} \sqrt{x^2 \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}\\\\\\=\sqrt{\lim \limits_{x \to \infty} x^2 \cdot \lim \limits_{x \to \infty} \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}}\\\\\\=\sqrt{ \infty \cdot (1+0+0-0)}\\\\=\sqrt{ \infty \cdot 1}\\\\=\infty[/tex]

Answer:

36

Step-by-step explanation:

You multiply354 and 16 then divide

Answer:

I don't know F but if y'all do let me now.

Step-by-step explanation:

(b) the price in the very middle of a data set, with exactly half of the houses priced for less and half priced for more.

(c) The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.

(d) The two biggest things that come to mind right away is how is it going to be used and who is going to be using it? While we would all love to get the highest quality that’s just not always possible. So, that’s a good starting point for me is considering the answer to those two questions.

(e) Price and other details may vary based on product size and color.

The difference between the most and least expensive lamps represented on the stem and leaf plot is 66.

The stem and leaf plot that completes the question is added as an attachment.

The median cost is the leaf element at the middle.

The plot has 18 leaves.

So, the median position is:

Median = (18 + 1)/2 = 9.5th

This means that the median is the mean of the 9th and the 10th items.

So, we have:

Median = (58 + 58)/2

Median = 58

Hence, the median cost is $58

This is the element with the highest frequency in the plot.

From the attached plot 65 has the highest frequency of 3

Hence, the modal cost is 65

From the plot, we have:

Most expensive = 78

Least expensive = 12

The difference (d) is:

d = 78 - 12

d = 66

Hence, the difference between the most and least expensive lamps is 66.

This means that we check the items in the range 20 to 40 (exclusive)

The elements in this range are:

25, 28, 30, 32 and  34

Hence, 5 lamps that cost more than $20 but less than $40

From the plot, we have:

Less than $40 =  6

More than $40 =  12

The ratio is represented as:

Ratio = 6 : 12

Simplify

Ratio = 1 : 2

Hence, the ratio of lamps that cost less than $40 to more than $40 is 1 : 2

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A solid line passes through (-1, 0) and (0, 3). The area to the left of the line is shaded gray.

Here we have the inequality:

3y - 9x ≥ 9

First, we should isolate y on one side of the inequality.

3y  ≥ 9x + 9

y  ≥ 3x + 3

Then, the graph will be a solid line of the form:

y =  3x + 3

Where the line is solid because the points on the line are solutions, and we need to shade all the region above the line.

Also, notice that for the line:

y = 3x + 3

if x = -1 we have:

y = 3*(-1) + 3 = 0

if x = 0 we have:

y = 3*0 + 3 = 3

Then the line passes through (0, 3) and (-1, 0). So the correct option is the second one.

"Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray."

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Hey there!

Basically your above absolute value is the proportions of real numbers regarding the sign of it. So, a negative absolute value will most likely be a positive. Same thing with positive & positive & also a positive & a negative. It all depends!

So, the correction equation should be:

|-56| = |56|

Answer: =

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Area of rectangle is  b*h

so

a = (x-3)(x+7)

75 = (x-3)(x+7)

75 = x²+4x-21

0 = x²+4x-96

(x+12)(x-8)=0

x = -12, or x = 8