A line has an x-intercept of 3 and a y-intercept of 2. Determine the slope of a line parallel to this line.

Answer:

6

Step-by-step explanation:

By definition,  the constant difference for a hyperbola is:

d = |PF1 - PF2|

where PF1 is the distance between points P and F1, and PF2 is the distance between points P and F2

Let's call F1 to (-3, 0), F2 to (3, 0) and P (7, 0). Then, the distances are:

PF1 = √[(-3 - 4)² + (0 - 0)²] = 7

PF2 = √[(3 - 4)² + (0 - 0)²] = 1

And the the constant difference is:

d = |7 - 1| = 6

Answer:

A. 19m

Step-by-step explanation:

3(6m) + m

Distribute:

18m + m

Add like terms:

19m

Answer:

show the diagram so l can help you to solve it

Answer:

its 148

Step-by-step explanation:

i just answered it, you're welcome.

Answer:

18.6 inches

Step-by-step explanation:

As we have the scale between the model and the real skyscraper, and we also have the height of the real building, to find the height of the model we just need to use a rule of three:

1 inch -> 75 feet

x inches -> 1395 feet

x*75 = 1*1395

x = 1395 / 75

x = 18.6 inches

The height of the model skyscraper is 18.6 inches.

Answer:

The second one.

Step-by-step explanation:

The area of the triangle has an area that is half the area of the rectangle.

A straight line divides the rectangle directly in half, creating two triangles, each triangle being half the area of the rectangle

Answer:

The triangle has an area that is half the area of the rectangle

Step-by-step explanation:

Answer: 20°

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Angle 1 = 55°

Angle 2 = 105°

The sum of the three interior angles of a triangle is always 180°.

So:

180 = 55+105 + x

Where x is the missing angle.

Solving for x:

180-55-105 =x

20°=x

Feel free to ask for more if needed or if you did not understand something.

Answer

y-1=5(x-2)

Step-by-step explanation:

1-(-4) =5

2-1=1

y/x = 5/1 =5

(2,1)

y-1=5(x-2)

Answer:

Yellow

Step-by-step explanation:

As the ratios of all gum all’s in a comparison yellow has the most

Answer: 0.5

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

g

f

​  

)(x)=  

4−5x

3x+2  f (2) = 2(2) = 4

g(2) = (2) + 4 = 6

h(2) = 5 – (2)3 = 5 – 8 = –3

Now I can evaluate the listed expressions:

(f + g)(2) = f (2) + g(2)

= 4 + 6 = 10

(h – g)(2) = h(2) – g(2)

= –3 – 6 = –9

(f × h)(2) = f (2) × h(2)

= (4)(–3)= –12

(h / g)(2) = h(2) ÷ g(2)

= –3 ÷ 6 = –0.5

​

Step-by-step explanation:

By looking where the functions intercept, we conclude that the correct option is x = -2.8.

Here we have:

To find a solution of f(x) = g(x), we can graph both equations on the same axis, and see where the curves intercept.

The graph can be seen below:

There, we can see that we have intercepts at:

x = -2.8

x = 0.8

x = 2.9

From these, the only one that appears in the options is the first one, so that is the correct option.

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Answer:

74 ft

Step-by-step explanation:

[tex]-4^{2}[/tex] + 19(4) + 14

-16 + 76 + 14

74

Answer:

15

Step-by-step explanation:

28 - 13 = 15

Answer:

work is shown and pictured

Answer:

8 is the answer

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

Answer:

If the Angles are 125 + 150+ 65 then the missing angle is 20.

Step-by-step explanation:

All angles need to add up to 360 degrees.

Answer:

Hi there!

The following answers:

3. 7 c > 3 (1/4) pt   4. 5 gal > 18 qt

5. 45 cm = 450 mm 6. 4.5 km < 5000 m

Step-by-step explanation:

There are 2 cups in one pint.

There are 4 quarts in one gallon.

One kilo meter is 1000 meters.

Answer:

c) 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality

Step-by-step explanation:

4x + 1/2(10x − 4) = 6

4x + 5x − 2 = 6  distirbuted 1/2 to 10x - 4

9x − 2 = 6 combinded like terms: x

9x = 8  addtion to the right side with 2

x = 8/9 divide by 9

The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth are correct.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have the equation:

[tex]\rm 4x+\frac{1}{2} (10x-4)=6[/tex]

4x + 5x -2 = 6  (Multiplication proeprty of equality or Distributive property)

9x - 2 = 6          (combine like term)

9x = 8               (addition property of equality)

x = 8/9               (division property of equality)

Thus, the justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth is correct.

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Answer:

C.

Step-by-step explanation: im pretty sure because if you look at Ed its 5 and then if you add the same sides twice its 10 hopefully im right

Answer:

93 degrees

Step-by-step explanation:

The trampoline is 10 units off the ground.

The maximum height of the acrobat is 18 units, and it takes 1 second to reach this height.

We have,

To find the height of the trampoline off the ground, we need to determine the value of f(x) when x is equal to zero.

This is because at the moment the acrobat jumps (x=0), the height of the acrobat is the height of the trampoline.

Given the function f(x) = -8x² + 16x + 10, we substitute x=0 into the function:

f(0) = -8(0)² + 16(0) + 10

f(0) = 0 + 0 + 10

f(0) = 10

Now,

To find the maximum height of the acrobat and the time it takes to reach this height, we can observe that the function f(x) is in the form of a quadratic equation in the form of ax² + bx + c, where a = -8, b = 16, and c = 10.

The maximum height of the acrobat occurs at the vertex of the quadratic function.

The x-coordinate of the vertex is given by:

x = -b / (2a)

Substituting the values, we have:

x = -16 / (2 * -8)

x = -16 / -16

x = 1

The time it takes to reach the maximum height is 1 second.

To find the maximum height, substitute the value of x back into the function:

f(1) = -8(1)² + 16(1) + 10

f(1) = -8 + 16 + 10

f(1) = 18

Therefore,

The trampoline is 10 units off the ground.

The maximum height of the acrobat is 18 units, and it takes 1 second to reach this height.

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Answer:

total paper required = 57 cm²

Step-by-step explanation:

given data

slant height b = 4 cm

base side h = 3 cm

block height  h1 = 2 cm

solution

we get surface area of right squared pyramid by add here areas of all 4 triangles that is express as

area = 4 × Area of Triangles

area = 4 × [tex]\frac{bh}{2}[/tex]  

area = 4 × [tex]\frac{4\times 3}{2}[/tex]  

area = 24 cm²

and

surface are of the box is equal to the area of its 4 side faces + base

area = 4 × ( h × h1 ) + h²  

area = 4 × ( 3 × 2 ) + 3²

area = 24 + 9

area = 33 cm²

so total paper required = 24 + 33

so total paper required = 57 cm²

Answer:

-20

Step-by-step explanation:

because if you put -20 over 4, that simplifies out to -5

Answer:

x= -20

Step-by-step explanation:

To solve this problem, we have to get x by itself.

x/4= -5

x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.

4*(x/4)=(-5)*4

The 4s on the left cancel, so we are left with:

x=-5*4

x=-20

To check our solution, we can substitute -20 back in for x.

x/4=-5

-20/4=-5

-5= -5

This is true, so we know that -20 is the solution.

Answer:

$7.45

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Surface area = 2bs + b^2

b = base

s = slant height

Answer:

Surface area = 2bs + b^2

Step-by-step explanation:

Answer:

Depending on the shaded area, it will be less than 113 in², so not the last option

Step-by-step explanation:

Area of a circle is A= πr²

if it fits in 12 inch sides, 12 i the diameter and 6 is the radius

A= 3.14(6)²

A= 113 in²

Then, find what the shaded area is

The product of the expressions is 1/3a option the second 1/3a is correct after simplification.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

[tex]=\rm \dfrac{a-3}{15a} \times \dfrac{5}{a-3}[/tex]

After simplification:

[tex]=\rm \dfrac{1}{15a} \times \dfrac{5}{1}[/tex]

= 1/3a

Thus, the product of the expressions is the 1/3a option the second 1/3a is correct after simplification.

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Answer:

-6 x -6

Step-by-step explanation:

2 negatives equal a positive