Help, I have to turn this in soon

Answer:

The solution of the first image is: b = √48

The solution of the second image is: c = √125

Step-by-step explanation:

Here we have two triangle rectangles, first, we need to remember the Pythagorean theorem.

For a triangle rectangle with cathetus A and B, and a hypotenuse H, we have the relationship:

A^2 + B^2 = H^2

Where H is the side that is opposite to the right angle (the angle of 90°)

In the first image, we can see that the hypotenuse is equal to 8, and one cathetus is equal to 4.

We want to find the value of b, that is the other cathetus.

Then we have:

4^2 + b^2 = 8^2

b^2 = 8^2 - 4^2

b^2 = 48

b = √48

Second image:

in this case, c is the hypotenuse, a and b are the cathetus.

We know that:

a = 5, b = 10

Then we have the equation:

a^2 + b^2 = c^2

Now we can replace the above values:

5^2 + 10^2 = c^2

25 + 100 = c^2

125 = c^2

√125 = c

The second graph represents the situation y=1.25x which has slope 1.25.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is y= 1.25x

Slope is 1.25

Now let us plug in (1, 1.25) in the equation

1.25=1.25(1)

Hence, the second graph represents the situation y=1.25x which has slope 1.25.

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Answer:

D  I think

Step-by-step explanation:

GH=5  5; <H = 90  

1. The mapping of the vertices of ΔDEF will be;

D(2, –4) → D' (-4, 2)

E(1, –1) → E' (-1 , 1)

F(5, 1) → F' (1, 5)

2. The rule of the reflection across the line y = x is;

[tex]r_{x} = _{y} (x , y)[/tex] → [tex]r_{y} = _{x} (y , x)[/tex]

What is Refection?

Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.

Given that;

The coordinates are,

D = (2, –4)

E = (1, –1)

F = (5, 1)

Now,

By the given image,

The mapping of the vertices of ΔDEF is;

D(2, –4) → D' (-4, 2)

E(1, –1) → E' (-1 , 1)

F(5, 1) → F' (1, 5)

And, The rule of the reflection across the line y = x is;

[tex]r_{x} = _{y} (x , y)[/tex] → [tex]r_{y} = _{x} (y , x)[/tex]

Because in the image its shows the line of reflection.

Therefore,

1. The mapping of the vertices of ΔDEF will be;

D(2, –4) → D' (-4, 2)

E(1, –1) → E' (-1 , 1)

F(5, 1) → F' (1, 5)

2. The rule of the reflection across the line y = x is;

[tex]r_{x} = _{y} (x , y)[/tex] → [tex]r_{y} = _{x} (y , x)[/tex]

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Answer:

3%

Step-by-step explanation:

Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at?

This is a simple interest question

The formula to find the rate is given as:

Equation:

r = (1/t)(A/P - 1)

t = time = 4 years

P = Principal = $12500

I = Simple Interest = $1500

A = Total Amount = Principal + Simple Interest = $12500 + $1500

= $14000

Calculation:

Solving our equation:

r = (1/4)((14000/12500) - 1) = 0.03

r = 0.03

Converting r decimal to R a percentage

R = 0.03 * 100 = 3%/year

Answer:

x = 6

Step-by-step explanation:

The triangle is a right triangle, as denoted by the red square at the bottom, we can use the Pythagorean Theorem to figure out the second side (since we are given the other side and the hypotenuse).

a² + b² = c²

(8)² + b² = (10)²

64 + b² = 100

b² = 100 - 64 = 36

b = ±[tex]\sqrt{36}[/tex]

b = ± 6

But we know that distance is always positive, so

b = 6

I have used b in place of x if you are confused about the variable usage.

Answer:

(-3,-1)

Step-by-step explanation:

pls giv brainliest

Answer:

(-3, -1)

Step-by-step explanation:

Vertex

__________

The vertex is the highest or lowest point within a parabola. When you look at the point, you can see where it is exactly at.

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{16}[/tex] is the answer

Step-by-step explanation:

you have to evaluate [tex](7-3)^{-2}[/tex] and the answer comes up to [tex]\frac{1}{16}[/tex]

Answer:

1. 9 = x

2. y = 2

Just copy these steps on paper, then submit.

Writing it yourself will help you, trust me :)

1. 2(x + 5) = 3x + 1

2(x + 5) = 3x + 1

Distribute the 2

2x + 10 = 3x + 1

-1                    -1

2x + 9 = 3x

-2x         -2x

9 = x

2. 3y - 4 = 6 - 2y

3y - 4 = 6 - 2y

     +4    +4

3y = 10 - 2y

+2y       +2y

5y = 10

Divide both sides by 5

y = 10/5

y = 2

A solution to a quadratic is the same as the root or x intercept (when talking about real numbers). The graph shows that we have exactly one x intercept, which is where the parabola touches the x axis. So we have one root.

Answer:

-1/3

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-1-2}{5--4}\\m=\frac{-3}{9}=-\frac{1}{3}[/tex]

Answer:

20i - 13m. look at the picture

Answer:

9/32

Step-by-step explanation:

3 x 3 = 9. 8 x 4 = 32. 9/32

Answer:

14

Step-by-step explanation:

its 14 because its listed more then once i mean so is 13 but 14 is listed 6 times and 13 is listed 3 times

so there for your answer is 14

Answer:

It was -∞ < y < ∞

Step-by-step explanation:

None.

The range of the function is ( -∞ to +∞)

A function is a law that relates two variables namely, a dependent and an independent variable.

A function always has a defined range and domain, domain is all the value a function can have as input and range is all the value that a function can have.

The function is of various types, logarithmic, exponential, quadratic, radical, etc.

The function is shown in the image,

The function is a hyperbolic function, represented by x²/a² -y²/b² = 1 for a hyperbola having a center at the origin.

The function can give any value from the set of real numbers and so,

The range of the function is a set of real numbers.

It seems your question is incomplete, the complete question is attached as an image.

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Answer:

2

Step-by-step explanation:

I think but am not sure sorry I can not help

Answer:

5x - 2y= -28

Step-by-step explanation:

Since the y= mx + b format would be: y= 5/2x + 14

Standard form is: 5x - 2y= -28

Answer:

9/16 square yd

Step-by-step explanation:

Answer:

it would be three yards for the area

Step-by-step explanation:

when i first saw this i thought it said elmo

Answer:

3 bags

Step-by-step explanation:

Even though she will have extra she still will need 3 bags to get 12.

Answer:

3

Step-by-step explanation:

We know Ms.Smith is buying avocados and needs 12, we also are provided with the fact that she buys them in bags of 5.

If you take a look at the picture, we need to find a bag that fits 12 avocados in,  this would be 3. As in 3 bags that contain 15 avocados in total, though excessive amount, this is the bag that she would need to benefit her the most.

Answer:

D) 11 cause it is only found form multiplying 1 and 11

Answer:

( 3[tex]x[/tex] - 5 ) ( [tex]x[/tex] + 1 )

Step-by-step explanation:

[tex]3x^{2}[/tex] - 2[tex]x[/tex] - 5

(Multiply 3 from [tex]3x^{2}[/tex] with -5)

Product = -15

Sum = -2

(3 times - 5 gives the product '-15' and 3 plus -5 gives the sum -2)

[tex]3x^{2}[/tex] + 3[tex]x[/tex] - 5

3[tex]x[/tex] ( [tex]x[/tex]  + 1 ) - 5 ( [tex]x[/tex] + 1 )

= ( 3[tex]x[/tex] - 5 ) ( [tex]x[/tex] + 1 )

Answer:

The fountain has a circumference of 9 feet.

Step-by-step explanation:

5 and above get rounded to the next tenth and 4 and below rounds to the nearest 10 also and that would be 9 if it was 9.5 or above the answer would have been 10.0

Answer:

3/10

Step-by-step explanation:

Answer:

The answer will be MAB= 19.53m

Step-by-step explanation:

hope it helps have a great day ^_^

Answer:

The original price was $875.

Step-by-step explanation:

a = p * w

630 = 72% * w

630 / 0.72 = $875

$875 should be the original price, I hope this helps!

Answer:

62.7

Step-by-step explanation:

Answer:

62.7%

Step-by-step explanation:

Answer:

f(3) = -2

One value of x for which f(x) = 2 is f( 1 )

hope this helps :)

Answer:

B

Step-by-step explanation:

Answer:d and e

Step-by-step explanation:

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