Simon leans a 20 ft ladder against the side of his house so that the base of the ladder is
5 ft from the house. About how high up the side of the house does the ladder reach?
Round to the nearest tenth of a foot?

Answer:

A. (x − p) (x + p) = x² - p²

B. (x – 5) (x + 7) = x² + 2x - 35

C. (x + p) (x + p) = x² + 2px + p²

Step-by-step explanation:

To find - Multiply and match each of the following  expressions.

A. (x − p) (x + p)

B. (x – 5) (x + 7)

C.(x + p) (x + p)

Proof -

A.)

The expression is - (x − p) (x + p)

Now,

(x − p) (x + p) = x(x + p) - p(x + p)

                     = x(x) + x(p) - p(x) - p(p)

                     = x² + xp - px - p²

                     = x² - p²

⇒(x − p) (x + p) = x² - p²

B.)

The expression is - (x – 5) (x + 7)

Now,

(x − 5) (x + 7) = x(x + 7) - 5(x + 7)

                     = x(x) + x(7) - 5(x) - 5(7)

                     = x² + 7x - 5x - 35

                     = x² + 2x - 35

⇒(x − 5) (x + 7) = x² + 2x - 35

C.)

The expression is - (x + p) (x + p)

Now,

(x + p) (x + p) = x(x + p) + p(x + p)

                     = x(x) + x(p) + p(x) + p(p)

                     = x² + xp + px + p²

                     = x² + 2px + p²

⇒(x + p) (x + p) = x² + 2px + p²

Answer:

11.1

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} =c^{2} \\AB^{2} +BC^{2} =AC^{2} \\AB^{2} +19^{2} =22^{2} \\\\AB^{2}=22^{2}-19^{2\\AB=\sqrt{123} \\AB=11.1[/tex]

Answer:

8

Step-by-step explanation:

Answer:

30 m

Step-by-step explanation:

Picture the question as a triangle

The length of the string is the hypotenuse, 60 m

The angle from the ground is 30

The right angle C is from the height of the kite to the ground

The missing angle A 60 is located on the top of the kite

now find b, the height

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(A)=adj/hyp

cos(A)=b/c

b=c*cos(A)

b=60*cos(60)

b=30

Answer:

The average distance from venus to mars is 2.5x10⁸ kilometers.

Step-by-step explanation:

We know:

d₁: average distance between venus and earth = 2.5x10⁷ km

d₂: average distance between mars and earth = 2.25x10⁸ km

We can find the average distance from venus to mars as follows:

[tex] d_{t} = d_{1} + d_{2} [/tex]

First, we need to equal the base power 10 so we can sum both distances:

[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]      

Now, average distance:

[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]

Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.

I hope it helps you!              

Answer: I just did the test so the answer is A. 5.8 units

Step-by-step explanation: hope this help thx for the points :D

Length of QR in units = 5.83 units, which is closest to 5.8 units.

The correct option is A.

The distance between any two points is the length of the line segment joining the points.

The formula for the distance, D, between two points whose coordinates are (x₁, y₁) and (x₂, y₂)

D = √((x2 – x1)² + (y2 – y1)²)

This is called the Distance Formula.

Given,

Coordinates of points Q (8, 2) and R (5, 7)

Length of QR = Distance between point Q and point R.

D = √((x2 – x1)² + (y2 – y1)²)

D = √((5 - 8)² + (7 - 2)²)

D = √(-3² + 5²)

D = √9 + 25

D = √34

D = 5.83 units

Length of QR rounded to one decimal = 5.8 unit

Hence, 5.8 unit is closest to the length of QR = 5.83units

Learn more about length of line segment here:

https://brainly.com/question/13150107

#SPJ2

Answer:

16.125 is the perimeter

Step-by-step explanation:

Multiply 15.375 × 3 because a triangle has three sides and is equilateral.

15.375 × 3 = 16.125

Have a great day!

Answer:

multiply the other kid's time by 3/4

Step-by-step explanation:

there's some info missing but hope this helps!

The set of all points in a plane for which the difference between the distances of a given point to two fixed foci equals a certain constant

is a A. Hyperbola.

A hyperbola is symmetric along its conjugate axis and resembles the ellipse in many ways.

Examples of the hyperbola that are frequently seen include the path taken by the tip of a sundial's shadow, the scattering trajectory of subatomic particles, etc.

We all know the pictorial representation of a circle, ellipse, parabola, and hyperbola.

A hyperbola is subject to concepts like foci, directrix, latus rectus, and eccentricity.

The given diagram and statements represent a hyperbola.

learn more about hyperbolas here :

https://brainly.com/question/28989785

#SPJ7

Answer:

The answer is A. 77.

Step-by-step explanation:

Using trigonometry formula

We know, tan = opposite/adjacent

So, tan x° = 13/3

=> x° = [tex]tan^{-1}[/tex](13/3)

∴ x° = 77.005° ≈ 77.01°

Answer:

A 77

Step-by-step explanation:

Answer:

Given no. of persons owned laptop = 76

Total of no. of students owned + Total of no. of students dont have owned laptop given = 155

No. of students dont have laptops = 155 - 76 = 79

So then the total no. of no laptops = 79 + 17 = 96(ans)

Answer:

64 cm

Step-by-step explanation:

If the perimeter of a square is 32cm. Each side is the same length, and there are 4 sides. 32÷4=8

Each side equals 8. 8•8=64 The area is 64cm.

Answer:

D

Step-by-step explanation:

I am pretty sure it is D because the numbers on the chart don't seem inconsistent. You go from 11 to 2 which would give a big drop so it wouldn't be a linear function.

Answer:

3x + y =0

Step-by-step explanation:

We need to create equation whose solution is (-1,3) . So let another point through which it passes be ( 0,0) .

Slope :-

=> m = -1-0/3-0

=> m = -1/3

Using point slope form :-

=> ( x - x1) = m( y - y1)

=> ( x - (-1)) = -1/3( y - 3)

=> (x + 1 )3= -y + 3

=> 3x +3 = -y + 3

=> 3x + y = 0

✔️ Checking :-

=> 3(-1) + 3 = 0

=> -3+3=0

=> 0 = 0

Answer:

x = -7   or   y = 1

Step-by-step explanation:

Since we are not given the actual formula for the parabola, we do not know in which direction the parabola is facing. The axis of symmetry is the value of the line that splits the parabola perfectly down the middle, to calculate this we need to know in which direction the parabola is facing. Since we do not have this information and only have the maximum vertex we can provide the two possible values for the Axis of Symmetry, which would be the following...

x = -7   or   y = 1

Answer:

104.96

Step-by-step explanation:

Hope this helps :)

Answer:

0⋅100 :)

Step-by-step explanation:

Answer:

Solution given:

8x²+8x+2=0

8x²+4x+4x+2=0

4x(x+2)+2(x+2)=0

(x+2)(4x+2)=0

either x=-2/4=-½

or

x=-2

So

It has 2 solution.

Answer:

√29

Step-by-step explanation:

We can use the pythagorean theorem to find the length of this line. You can draw a vertical line downwards from the higher point and a horizontal line towards the left from the lower point. This will create a right triangle. Wd can count the lengths of the legs, getting 2 and 5. We can substitute these values in the pythagorean theorem:

a^2 + b^2 = c^2

2^2 + 5^2 = c^2

4 + 25 = c^2

c^2 = 29

c = √29

Since c is the hypotenuse and is the same length of the line, the line is √29 units long

Answer:

9 feet im pretty sure

Step-by-step explanation:

Answer:

yolo

Step-by-step explanation:

Answer:

c?

Step-by-step explanation:

It's the closest number to 51.

1245/24

Answer:

12.568m^2

Step-by-step explanation:

A=πr^2 where r is. radius

=3.142(2^2)

=3.142(4)

=12.568m^2

Answer:

8m

Step-by-step explanation:

Answer:

3 miles

Step-by-step explanation:

Since she ran 12 miles in 4 days, and all of them were equal, divide 12 by 4. Answer is 3 ^^

Answer:

1400

Step-by-step explanation:

I took the Application

Answer:

1,716

Step-by-step explanation:

I just took the quiz.

Answer:

5-² is your correct answer

Answer:

=5^10/5^12

= 5^10-12

=5^-2