Answer:
x = 36
Step-by-step explanation:
Given
[tex]\sqrt{x+13}[/tex] = 7 ( square both sides )
([tex]\sqrt{x+13}[/tex] )² = 7²
x + 13 = 49 ( subtract 13 from both sides )
x = 36
[tex]\sqrt{x+13}=7\\[/tex]
To solve the radical equation, completing the square all whole equation.
[tex](\sqrt{x+13})^2=7^2\\[/tex]
As defined, [tex](\sqrt{x})^2 =|x|[/tex]
Therefore, [tex](\sqrt{x+13})^2=|x+13|=x+13[/tex] (Although Absolute Function gives 2 conditions, however - domain of radical function must be greater than or equal to 0. Meaning x < 0 for another condition doesn't apply.)
[tex]x+13=49\\x=49-13[/tex]
Move 13 to subtract.
[tex]x=36[/tex]
Therefore, the answer is x = 36.
13 m
12 m
wall
ladder
The ladder, the ground, and the wall form a right triangle.
ground
How far away from the wall does the ladder need to be placed so that it reaches 12 meters up the wall? If needed, ROUND TO THE NEAREST TENTH.
A
17.7 meters
B.
25 meters
С
5 meters
D
313 meters
Answer:
The ladder needs to be placed at 5 m from the wall.
Step-by-step explanation:
Pythagoras's Theorem
Being a and b the legs of a right triangle and c its hypotenuse, then
[tex]c^2=a^2+b^2[/tex]
The image shows a ladder of length c=13 m as the hypotenuse of the right triangle formed by the height, the ladder, and the ground.
We are given the height up the wall as a=12 m.
We calculate the distance b solving it from the equation above:
[tex]b^2=c^2-a^2[/tex]
Substituting:
[tex]b^2=13^2-12^2[/tex]
Operating:
[tex]b^2=169-144[/tex]
[tex]b^2=25[/tex]
Taking the square root:
[tex]b=\sqrt{25}[/tex]
b = 5 m
The ladder needs to be placed at 5 m from the wall.
Help me ASAP 10 points plsssss helpppp
Answer:
its just 31^2=25^2 + b^2
Step-by-step explanation:
Help Help Help Help please
Brainliest if correct
Answer:
least to greatest
|y-z|
|x-y|
|x-z|
z
Step-by-step explanation:
PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours. Y=mx+b B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job? (Vou should have 9 answers in question 2
Answer: a. c = 30 + 45h
b. $322.50
Step-by-step explanation:
A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours.
This will be calculated as:
c = 30 + 45h
B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job?
Using the expression,
c = 30 + 45h
c = 30 + 45(6 1/2)
c = 30 + 292 1/2
c = 322.50
Therefore, Juan will pay $322.50
convert the expression [tex]\sort[4]{3}[/tex] into exponential form
Answer:
what is this ?
Step-by-step explanation:
What is the difference between an expression and an equation? Use complete sentences and math vocabulary to explain!
Answer:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
Find the value of x when 6−4x=6x−8x+8.
Answer:
8x+8.
Step-by-step explanation:
Complete the table. Round to the nearest cent if necessary.
Item Price Markup % Markup Retail Price
Shoes $75.05 32% $
$
Solve for y.
3x + 4y = z
-----------------
Answer:
y= z-3x/4
Step-by-step explanation:
4y=z-3x
y=z-3x/4
Answer:
[tex]y=\frac{z-3x}{4}[/tex]
Step-by-step explanation:
[tex]3x+4y=z[/tex]
Subtract 3x from both sides:-
[tex]3x+4y-3x=z-3x[/tex]
[tex]4y=z-3x[/tex]
Divide both sides by 4:-
[tex]\frac{4y}{4}=\frac{z}{4}-\frac{3x}{4}[/tex]
[tex]y=\frac{z-3x}{4}[/tex]
OAmalOHopeO
A model car is built to a scale of 1 in. : 2.5 ft. If the model is 5.8 in. Long how long is the car in real life?
Answer:
14.5 ft
Step-by-step explanation:
We are told that the model car is built to a scale of 1 in. : 2.5 ft.
That means 1 inches represents 2.5 ft in actual measurement.
Thus, for a 5.8 inch long model, the real life measurement is;
(5.8 inch × 2.5 ft)/1 inch = 14.5 ft
Triangle LMN is plotted on a coordinate plane. It is then dilated by a factor of 2 using the origin as the center of dilation, and translated 5 units left and 3 units up.
How is this sequence of transformations written in coordinate notation to correctly map triangle LMN to its image, triangle L'M'N' ?
A. ( x , y )→(2 x + 3, 2 y - 5)
B. ( x , y )→(2 x - 5, 2 y + 3)
C. ( x , y )→(2 x + 5, 2 y + 3)
D. ( x , y )→(2 x + 3, 2 y + 5)
Answer:
B. ( x , y )→(2 x - 5, 2 y + 3)
Step-by-step explanation:
when x goes to the left it is negative and when y goes up it is positive, making B the only possible answer choice.
What is the equation of the line that has a slope of 3/10 and goes through (-10, -17)?
If a line goes through the following two points: (0,-2) and (3,4), the slope of the line is:
Answer:
y = 2x – 2
Step-by-step explanation:
to the nearest tenth
What is the slope of this line?
Answer:
zero
Step-by-step explanation:
there is no slope because the line is horizontal
Carl is making accessories for the soccer team. He uses 666.96 inches of fabric on headbands for 39 players and 3 coaches. He also uses 333.06 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
The amount of fabric was used on :
a) headband for each player = 15.88 inches of fabric
b) wristband for each player = 8.54 inches of fabric
Step-by-step explanation:
From the above question, we were told:
For headbands
Carl is making accessories for the soccer team. He uses 666.96 inches of fabric on headbands for 39 players and 3 coaches.
Total number of persons = 39 players + 3 coaches = 42 persons
42 persons = 666.96 inches
1 person = x
Cross Y
42x = 666.96 inches
x = 666.96 inches/42
x = 15.88 inches
For wristbands
He also uses 333.06 inches of fabric on wristbands for just the players.
We have 39 players
Hence:
39 players = 333.06 inches
1 players = x
Cross Multiply
39x = 1 × 333.06 inches
x = 333.06 inches/3
x = 8.54 inches
The amount of fabric was used on :
a) headband for each player = 15.88 inches of fabric
b) wristband for each player = 8.54 inches of fabric
-7(x-4)
.......................
Answer:
28−7x
i think :]
On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1). Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).
Which rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C'?
(x, y) → (x + 7, y + 6)
(x, y) → (x + 7, y – 6)
(x, y) → (x – 6, y + 7)
(x, y) → (x + 6, y + 7)
Answer:
On a coordinate plane, 2 triangles are shown. Triangle F G H has points (1, 1), (4, 5), (5, 1). Triangle F prime G prime H prime has points (negative 1, negative 1), (negative 4, negative 5), (negative 5, negative 1). What are the coordinates of vertex F" of ΔF"G"H"?
Step-by-step explanation:
It's B. (x, y) → (x + 7, y – 6)
A survey of 100 doctors revealed that 2 put of every 5 doctors recommended Brand M deodorant. Based on the results, how many doctors did NOT recommend Brand M.
A.20
B.60
C.140
D.40
Answer:
B. 60
Step-by-step explanation:
If george drives at a steady rate of 65 miles per hour, how many miles will he travel in 1.5 hours
Help me I neeeeeeede itttt
Answer:
True
Step-by-step explanation:
7.613 rounded to the nearest tenth is 7.6
Which input value produces the same output value for
the two functions?
O x= -12
O x= -9
O x= -6
O X=-3
HELP PLEASE
Answer
-6
Step-by-step explanation:
Took test
what is m?
please help
Given:
[tex]\Delta ABC\sim \Delta QRS[/tex]
To find:
The missing value of m.
Solution:
We have,
[tex]\Delta ABC\sim \Delta QRS[/tex]
Corresponding parts of similar triangles are proportional.
[tex]\dfrac{AB}{QR}=\dfrac{AC}{QS}[/tex]
Putting the given values, we get
[tex]\dfrac{m}{10}=\dfrac{2}{4}[/tex]
[tex]\dfrac{m}{10}=\dfrac{1}{2}[/tex]
Multiply both sides by 10.
[tex]\dfrac{m}{10}\times 10=\dfrac{1}{2}\times 10[/tex]
[tex]m=5[/tex]
Therefore, the value of m is 5.
help me and the 4 one says how many tables in a row are needed to seat 127 students explain your answear i have 30 minutes please hurry
Answer:
#1 Is 7 Students
#2 Is 9 Students
#3 Is 16 Students
#4 is 125 tables
help pls jqewkfhnoiwek
Step-by-step explanation:
5 hours I think bc if you add 2 1/2 with 2 1/2 you add 2 + 2=4 then 1/2+1/2=1 then add 1 and 4 and you get 5
A supermarket purchases chickens wholesale from a farm for $4 each. The store then marks up the chickens 50%. After 10:00 p.m., the supermarket marks down the price of the chickens by 50% to make sure they all sell before the store closes. Which statements are true about the price of a chicken? Check all that apply.
O) The marked up price of a chicken is $6 before 10:00 p.m.
O) The 50% markdown is taken off the marked-up price.
O) The chickens sell for $4 after 10:00 p.m., because the 50% markup and 50%
O) markdown cancel each other out.
O) The 50% markdown is taken off the $4 wholesale price.
Answer:
a- the marked up price of a chicken is $6 before 10pm
b- the 50% markdown is taken off the marked up price
Answer:
A and B
Step-by-step explanation:
Can someone help please. I will give brainliest :)
Answer:
the answer is C bcuz when you add 77 with 99 you get 176 and 176 is only divisible with 11
Step-by-step explanation:
Julie works at a pizza place in Phoenix. She receives a 15% discount on any pizza that she buys. If a large pizza costs $14.00, what is the amount of Julie’s discount? What is the final cost of her pizza?
Answer:
The final cost of her pizza is $11.90
Step-by-step explanation:
First we need to convert 15% into a decimal, which is 0.15.
Now we multiply $14 and 0.15.
$14 × 0.15 = $2.10.
Now we subtract $2.10 from $14.00.
$14.00 - $2.10 = $11.90
What is the meaning of gcf in math terms
The system of linear equations y = 2 x minus 1 and y = negative 4 x minus 1 is graphed below. On a coordinate plane, 2 lines intersect at (0, negative 1). What is the solution to the system of equations? (0, –1) (–1, 0) (0, 1) (1, 0)
Answer:
0, -1
Step-by-step explanation:
trust me I just took the exam on edge 2020
The solution to the given system of equations will be (0, -1). which is the correct option (B).
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The system of linear equations y = 2 x minus 1 and y = negative 4 x minus 1 which is given in the question.
y = 2x - 1 ....(i)
y = -4x - 1 ....(ii)
Substitute the value of equation (i) in equation (ii) and solve for variable x :
2x - 1 = -4x - 1
Rearrange the terms of variable "x" and combine them,
2x + 4x = -1 + 1
6x = 0
x = 0
Substitute the value of x = 0 in equation (ii) and solve for variable y :
y = -4(0) - 1
y = -1
Therefore, the solution to the given system of equations will be (0, -1).
Learn more about the Linear equations here:
https://brainly.com/question/13738061
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