Find the value of the expression 3m2 + 2p2 − 15 when m = 3 and p = 10. (5 points)

A.) 27
B.) 200
C.) 212
D.) 225

Answer:

62.182°

Step-by-step explanation:

Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.

The angle at which the ladder is leaning is 62.18°.

Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.

For the given situation,

The length of the ladder = 15 feet

The distance between the house and the ladder base = 7 feet

The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.

we know that, [tex]cos[/tex] θ = [tex]\frac{Base}{Hypotenuse}[/tex]

The figure below shows the relationship between the sides.

⇒ [tex]cos[/tex] θ = [tex]\frac{7}{15}[/tex]

⇒ θ = [tex]cos^{-1}(\frac{7}{15} )[/tex]

⇒ θ = [tex]62.18[/tex]

Hence we can conclude that the angle at which the ladder is leaning is 62.18°.

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Answer:

y=x-2.5

Step-by-step explanation:

If it is perpendicular to a, just like b, it has the same slope, but, it has a y-intercept of 2.5, unlike b, which has a y-intercept of 1

Answer:

mc= 1

Step-by-step explanation:

correct on edge 2020

Answer:

a) CA because cpctc :) ahsjdne

Answer:

y= -4

Step-by-step explanation:

-3y + 5x = 26

  0y -5x = -14  

____________

    -3y = 12

       y = -4

Answer:

The value is 24

Step-by-step explanation:

We want to find the value of the given expression when x = 5

Simply substitute 5 into the given expression.

Thus, we have;

4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

Any part of the expression with 5-5 will be zero and will cancel out

Thus, we have

4(3)(2) = 4 * 3 * 2 = 24

The required value of equation at x = 5 is 24.

Given ;

Equation is = 4(x-2)(x-3) + 7(x-2)(x-5) - 6(x-3)  

We have to calculate the value of expression when x = 5

To solve the equation substitute x = 5 in the given equation

= 4(x-2)(x-3) + 7(x-2)(x-5) - 6(x-3)(x-5)

= 4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

Simplify the equation

= 4(3)(2) + 7(3)(0) - 6(2)(0)

= 4.(6) + 7(0) - 6(0)

= 24 + 0 - 0

= 24

The required value of the equation at x = 5 is 24.

For details about the solution of equation click the link given below.

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Answer:

7

Step-by-step explanation:

Step-by-step explanation:

  answer is; c. 2%

Multiply by 100 to convert a number from decimal to percent then add a percent sign %. Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %. The shortcut to convert from decimal to percent is to move the decimal point 2 places to the right and add a percent sign.

pic below

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[tex]haveanawesomeday[/tex]

Answer:

92

Step-by-step explanation:

Given

2n + t² ← substitute n = - 4 and t = - 10 into the expression

= 2(- 4) + (- 10)² = - 8 + 100 = 92

Answer: -28

Step-by-step explanation: 2x-4=-8 and -10x2=-20    -8+-20=-28

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Answer:

90°

Step-by-step explanation:

Answer:

-3/8

Step-by-step explanation:

This equation is formatted as y=mx+b where m is the slope of the line, x is the x value, and b is the y-intercept. When finding the slope of such an equation, just find what the coefficient of x in the function is. So, this equation is y = -3/8x - 6/5 and m is -3/8, so your slope is -3/8. Hope that helps!

Answer:

Step-by-step explanation:

5-2x+16=6x+7

-2x-6x=7-5-16

-8x=-28

x=28/8=14/4=7/2=3.5

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Answer:

Negative. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers

Answer:

YAY WE FOUND EACH OTHER

Step-by-step explanation:

Answer:

thanks for the points

Step-by-step explanation:

LOSER LOSER STUPID B***H

Answer:

it is 6

Step-by-step explanation:

That’s what they both can be multiplied by

Answer:

Step-by-step explanation:

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

ln

(

6

x

)

=

ln

(

66

)

Expand

ln

(

6

x

)

by moving

x

outside the logarithm.

x

ln

(

6

)

=

ln

(

66

)

Divide each term by

ln

(

6

)

and simplify.

Tap for more steps...

x

=

ln

(

66

)

ln

(

6

)

The result can be shown in multiple forms.

Exact Form:

x

=

ln

(

66

)

ln

(

6

)

Decimal Form:

x

=

2.33829083

…

Answer:

X=19

Step-by-step explanation:

A full line must be 180 degrees and you already know that part of the line is 66 degrees. You do 180 minus 66 which gives you 114. That is the other unknown angle but it is asking for x, not the angle. You do 114 divided by 6 to get 19. Therefore, x=19.

Answer:

7200

Step-by-step explanation:

I'm not going to explain but i will say that you should multiply 300x 24 to get you answer  

Answer:

[tex]y= 100x +300[/tex]

[tex]x=[/tex] How many months

Step-by-step explanation:

In this equation a

We are solving to find after 24 months you want to plug 24 in to where X is and solve the eqaation from there.

Hope this helps!!

D because it is the only one that is unpredictable

Answer:

Step-by-step explanation:

24g-20-3g+4

21g-20+4

21g-16

g=.76

Answer:

Step-by-step explanation:

it is 21g-24

Answer:

8.49

Step-by-step explanation:

Posted in the image due to lack of proper format.

Answer:

(3,1)

Step-by-step explanation:

Step-by-step explanation:

explanation:

Divide the number to be factored by the prime numbers in turn. Test that result is a natural number. If so, it is a prime factor. Continue until the factorisation is complete.

Answer:

The two numbers with the sum of 9 and difference of 1 is 5 and 4.

Step-by-step explanation:

Answer:

The answer is 4 and 5.

Step-by-step explanation:

4+5 = 9

5-4 = 1

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Answer:

C

Step-by-step explanation:

Technically there is a one here  -1(5). Meaning its a positive

HQG because it is 55 degrees and 55 + 35 is 90, and complementary angles add up to 90 degrees.

Angle HQG

The required equation of the line is given as y =1/4x -17/4.

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

The slope of the line is given as,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute the value in the above equation,
m = -2 + 4 / 9 - 1

m = 2 / 8
m = 1/4
Since the slope of the parallel lines is equal,
The equation of the parallel is given as,
y - y₁ = m (x - x₁)

Substitute the point in the equation,
y + 3 = 1/4(x - 5)
y = 1/4x - 5/4 -3
y =1/4x -17/4

Thus, the required equation of the line is given as y =1/4x -17/4.

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Answer:

112 ≤ T ≤ 158

Step-by-step explanation:

We need to convert the celsius temperature to Fahrenheit first.

The formula to use is

F = (C * 9/5) + 32

For 50 degrees Celsius

F = (50 * 9/5) + 32

= 90 + 32 = 112 F

For 70 degrees Celsius

F = (70 * 9/5) + 32

= 158 F

So the compound inequality is written as follows;

112 ≤ T ≤ 158