A 25 foot ladder leans against a house. How far
is the foot of the ladder from base of the building
if the top of the ladder is 20 feet from the ground?
A. 20 ft
B. 15 ft
C. 18 ft
D. 10 ft

Answer:

We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x) = -3x - 3\\ g(x) = x^2 + 5[/tex]

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

[tex](f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8[/tex]

So, We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]

Answer:

D

Step-by-step explanation:

Let me know if I was right :( don't be mean pls

Answer:

8 and 9

Step-by-step explanation:

8^2 is 64 and 9^2 is 81 so 8 and 9

Answer:

A

Step-by-step explanation:

Given

x² + 6x

To complete the square

add ( half the coefficient of the x- term )² to x² + 6x

x² + 6x + (3)²

= x² + 6x + 9

= (x + 3)²

Answer:

Step-by-step explanation:

In 3 years Raymond will be 10, and his sister x + 3:

Marissa is 3 now and will be 6 in 3 years

Answer:

A. The balloon is at its initial height

B. The boxer is 0 pounds from her starter weight

C. The company's size is smaller

Step-by-step explanation:

For A, -30+30 is equal to 0 so its gonna be the same height it was before.

For B, Gaining 7 pounds and losing 7 pounds means you are neither bitter or smaller. (-7+7=0)

For C, Losing 15 employees and gaining none means that there are less than there were previous meaning the company is now smaller.

Hope this helps.

Answer:

its multipled by 12

Step-by-step explanation:

Answer:

1 ft = 12

Step-by-step explanation:

The length in inches is equal to the feet multiplied by twelve

Answer:

9c + 45

Step-by-step explanation:

The distributive property also known as distributive law of multiplication and division.

In the given expression, distributive law of multiplication is applied where we can multiply first before addition.

Given

9(c+5)

Using distributive property

9(c+5)

= (9 × c) + (9 × 5)

= 9c + 45

9(c+5) = 9c + 45

9514 1404 393

Answer:

  18

Step-by-step explanation:

  50% × 36 = 0.50 × 36 = 18

There are 18 bikini styles at David's Swimwear.

Answer:

18 bikini styles.

Step-by-step explanation:

Divide 36 by 2.

Answer:

75>80

92>90

80×90=7,200.

Answer:

n6666667900087474455

Answer:

Step-by-step explanation

The set up is a right angled triangle

Given

angle of elevation = 58°

Distance of the man from the tree = adjacent = 11m

Required

Height of the tree h (Opposite)

Using the TOA identity

tan theta = opposite/adjacent

tan 58 = h/11

h = 11tan58

h = 11(1.6)

h = 17.60

Hence the tree is 17.60m tall

Answer:

[tex]16^\circ, 88^\circ, 76^\circ[/tex]

Step-by-step explanation:

Given a triangle.

One of the angles is [tex]8^\circ[/tex] more than 5 times of one angle.

Third angle is [tex]4^\circ[/tex] more than the difference of two angles.

To find:

The angles.

Solution:

Let the first angle = [tex]x^\circ[/tex]

As per question statement, second angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex]

And third angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex] - [tex]x^\circ[/tex] + [tex]4^\circ[/tex] = [tex](4x+12)^\circ[/tex]

Using triangle sum property that the sum of all the internal angles of a triangle is always equal to [tex]180^\circ[/tex].

[tex]x+5x+8+4x+12 = 180\\\Rightarrow 10x+20=180\\\Rightarrow 10x = 160\\\Rightarrow x = 16[/tex]

Therefore, the first angle = [tex]x^\circ = 16^\circ[/tex]

The second angle = [tex]5x+8 = 5 \times 16 + 8 = 80+8 = 88^\circ[/tex]

The third angle = [tex]4x+12 = 4\times 16 + 12 = 76^\circ[/tex]

Therefore, the angles are [tex]16^\circ, 88^\circ, 76^\circ[/tex].

Answer: -4 1/6

Step-by-step explanation:

-15/7 ÷ 18/35

-15/7 x 35/18

-5 x 5/6

-25/6

-4 1/6

Given:

A line AB joins the points A (3,4) and B (5,8).

To find:

The midpoint of the line AB.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is

[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]

[tex]Midpoint=\left(4,6\right)[/tex]

Therefore, the midpoint of the line AB is (4,6).

Answer:

a) [tex]f(2) = 5[/tex], b) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex], c) [tex]f^{-1} (7) = 3[/tex]

Step-by-step explanation:

a) We evaluate the function at [tex]x = 2[/tex]:

[tex]f(2) = 2\cdot (2) + 1[/tex]

[tex]f(2) = 4+1[/tex]

[tex]f(2) = 5[/tex]

b) First, we determine the inverse of the function by algebraic means:

1) [tex]y = 2\cdot x + 1[/tex] Given

2) [tex]y +(-1) = 2\cdot x + [1+(-1)][/tex] Compatibility with addition/Associative property

3) [tex]y + (-1) =2\cdot x[/tex] Existence of additive inverse/Modulative property

4) [tex]2^{-1}\cdot [y+(-1)] = (2\cdot 2^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties

5) [tex][y+(-1)]\cdot 2^{-1} = x[/tex] Existence of multiplicative inverse/Modulative and commutative properties

6) [tex]x = [y+(-1)]\cdot 2^{-1}[/tex] Symmetry property of equality

7) [tex]x = \frac{y-1}{2}[/tex] Definitions of subtraction and division

8) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex] [tex]x = f_{-1} (x)[/tex]/[tex]y = x[/tex]/Result

c)  Now we evaluate the expression obtained on b) at the given number:

[tex]f^{-1} (7) = \frac{7-1}{2}[/tex]

[tex]f^{-1} (7) = 3[/tex]

Answer:

B

Step-by-step explanation:

Answer:

a = -1

b= 1

Step-by-step explanation:

8's absolute value is 8, so 8 - 9 is -1 but 8-9 = -1 and since the answer is in the absolute value bars, -1's absolute value is 1, so the answer will be 1

but in a, only 8 is in the absolute value bars, not the complete answer

What shape lol? Gotta snag those points ;)

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4

Answer:

x

=

4

,

−

2

+

2

i

√

3

,

−

2

−

2

i

√

3

Step-by-step explanation:

Answer:

PART A- 3+D POUNDS

PARTB- 3D-12

Step-by-step explanation:

dylan-d pounds

alan-3+d pounds

bruce-3d-12

Answer:

Alan = A

Bruce = B

Cecil = C

Dylan = D

Part A     A = 2 x D + 3

Part B     B= 3 x D - 12

Part C    C= A+B     A = 2 x D + 3       B= 3 x D - 12

Part D    Cecil weighs 216 pounds

Part E     Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.

Part F      5d-9

Part G      Cecil’s weight in terms of Dylan’s weight is 5d – 9.  Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:

(5 × 45) − 9  = 225 − 9  = 216.

If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.

Part H   Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.

Part I       Bruce's weight in terms of Dylan’s weight is 3d − 12.  Alan's weight in terms of Dylan’s weight is 2d + 3.

So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.

Part J      The expression is (3d − 12) − (2d + 3).  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  (3 × 45 − 12) − (2 × 45 + 3)  = (135 − 12) − (90 + 3)  = (123) − (93)  = 30.

Bruce weighs 30 pounds more than Alan weighs.

Part K   (3d − 12) − (2d + 3).

First remove the parentheses:

3d − 12 − 2d − 3.

Then group the like terms:

3d − 2d − 12 − 3.

Finally, subtract the like terms:

d − 15.

The expression (3d − 12) − (2d + 3) simplifies to d − 15.

Part L    The expression is d − 15.  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  45 − 15 = 30.

Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.

Step by step explanation:

So you basically want to focus on Alan and Bruce they will help you get the rest of your answers

Note:

Some of these are direct answers from Edmentum

First convert all th fractions into decimal :

3/7 =0.428

7/16=0.4375

0.43=remain same (already given in decimal form)

43.8%=0.438

now arrange them in one row (horizontally) then it will be easy to arrange it.

0.428 , 0.4375 , 0.43 ,0.438

=0.428 , 0.43, 0.4375 ,0.438

= ans) 3/7, 0.43, 7/16, 43.8%

Answer:

I think its the 2nd one im not sure tho

Step-by-step explanation:

Answer:

first one is 14.

second one is 131-11=6B

Step-by-step explanation:

1) 252/18=14

2) you want to know how much 6 books sre and it says you got 11 dollars change so u take 11 from 131 to get the price of 6 books

hope that helps :)

Answer:

40%

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.

6x - 5 = 5x (Given)

-5 = -x (Subtract 6x on both sides)

5 = x (Divide -1 on both sides)

Therefore, x = 5.

Answer:

x = 5

Step-by-step explanation:

Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.

Therefore, triangle GJH is an equilateral triangle.

Measures of all sides of an equilateral triangle are equal.

So,

6x - 5 = 5x

6x - 5x = 5

x = 5

Answer:

19

Step-by-step explanation:

x + 3y

4 + 3 (5)

4 + 15

=19

Answer:

-x + 11

Step-by-step explanation:

Distribute 2 into 2x + 4 to get 4x + 8, convert the negative sign for the second pair of parentheses to get - 5x + 3.  Combine the two like terms together to get the final answer which is -x + 11.

Answer:

x=5 y=-6

Step-by-step explanation:

6x + 3y = 12  , 4x + y = 14

4x*3+y*3=14*3

12x+3y=42 , 6x+3y=12

(12x-6x)+(3y-3y)=30

6x=30, x=5

4*5 + y = 14

y=-6

There's no picture to it.