Answer:
Step-by-step explanation:
Imagine or draw a triangle with horizontal leg length 8 - (-4), or 12, and vertical leg length |-6 - 2|, or 8. Use the Pythagorean Theorem to find the length of the hypotenuse:
length of hypotenuse = +√(8² + 12²) = √208 = 4√13 (Answer A)
Solve using substitution x=-6 6x+10y=14
Answer:
(-6 , 5)
Step-by-step explanation:
6x + 10y = 14
6(-6) + 10y = 14
-36 + 10y = 14
10y = 50
y = 5
Guided Practice
Write an equation of the direct variation that includes the point (–8, 10).
A.
y= −4/5x
B.
y= 5/4x
C.
y= −5/4x
Answer:
C.
y= −5/4x
Step-by-step explanation:
Write an equation of the direct variation that includes the given point. (-8, 10)
1
first divide y by x to find the constant
2
Then write the equation using that constant. The constant can be written as a fraction or a decimal.
RESULT
What is the volume of this square pyramid?
Answer:
400m^3
Step-by-step explanation:
Answer: [tex]400m^{2}[/tex]
Step-by-step explanation:
In order to solve this square pyramid's volume, we use the formula:
V = 1/3(B)(h)
Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:
1/3(10*10)(12)
Now we solve:
1/3(100)(12)
1/3(1200)
400
Using the equation y=kx what would be the proportionate equation if she worked 25 hours and made 150.00
Answer:
y = 6x
Step-by-step explanation:
Equation representing the relation between duration of work and earning is,
y = kx
Here, y = earnings
x = Working hours
k = Proportionality constant
By substituting the values in the given equation,
x = 25 hours
y = $150
150 = k(25)
k = 6
Therefore, equation modeling the situation will be,
y = 6x
Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?
Answer:
Each piece of cloth is (1/12) of a yard long.
Step-by-step explanation:
Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.
To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.
This is:
length = [tex]\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd[/tex]
This means that the length of each piece of cloth is (1/12) of a yard long.
Answer:
1/12 trust,
because yes. >3
2022 / 2023
Castel and Chelsea are selling pies for a school fundraiser. Customers can buy cherry pies and lemon meringue pies. Castel sold 1 cherry pie and 5 lemon meringue pies for a total of $69. Chelsea sold 5 cherry pies and 7 lemon meringue pies for a total of $129. Find the cost each of one cherry pie and one lemon meringue pie.
Answer:
the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively
Step-by-step explanation:
The computation of the cost of one cherry pie and the lemon meringue pie is shown below:
Let us assume the cherry pie be x
And, the lemon meringue pie be y
So according to the question
x + 5y = $69
5x + 7y = $129
Now multiply by 5 in the equation 1
5x + 25y = $345
5x + 7y = $129
18y = $216
y = $12
And, x would be
x + 5($12) = $69
x = $9
Hence, the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively
I just wanna make sure i’m doing this right
Answer:
175%
Step-by-step explanation:
The first one is a whole=1
the second one is cut in four but only 3 are shaded so 1/4=0.25 0.25*3=0.75
3/4/0.75 is shaded
so 1+0.75=1.75
1.75=175%
A town doubles its size every 17 years. If the population is currently 15,000, what will the population be in 34 years?
Answer:
60,000
Step-by-step explanation:
Explanation: 34 is double of 17 so the town doubles twice, 15,000 * 2 * 2 is your Expression and leads you to 60,000.
solve this question step by step on paper
8.1÷4
Answer:
2.025
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/8.1%5Cdiv4%E2%80%8B