Answer:
yes
Step-by-step explanation:
divide each by 7 =
21/7 = 3
28/7 =4
35/7 = 5
3,4,5 are always a perfect triple, and multiples of 345 are perfect triples as well. Therefore, they are sides of a right triangle.
A dog trainer is trying to find a triangular area behind his house that encloses 1800 square feet for his dog to run. He has the first two fence posts at (6, 0) and at (0, 25). The final fence post is on the property line at x = 30. Find the point where the trainer can place the final fence post.
Answer:
[tex]C = (30,500)[/tex]
Step-by-step explanation:
Given
[tex]Area = 1800ft^2[/tex]
[tex]A = (6,0)[/tex]
[tex]B = (0,25)[/tex]
[tex]C(x,y) = (30,y)[/tex]
Required
Determine the coordinates of C
The area of triangle is calculated as thus:
[tex]Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}[/tex]
This gives:
[tex]1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}[/tex]
[tex]1800= \frac{|6(25 - y) + 30(0- 25)|}{2}[/tex]
[tex]1800= \frac{|6(25 - y) + 30(-25)|}{2}[/tex]
[tex]1800= \frac{|150 - 6y -750 |}{2}[/tex]
[tex]1800= \frac{|150 -750- 6y |}{2}[/tex]
[tex]1800= \frac{|-600- 6y |}{2}[/tex]
Multiply through by 2
[tex]2 * 1800= |-600- 6y|[/tex]
[tex]3600= |-600- 6y|[/tex]
[tex]3600= |-(600+ 6y)|[/tex]
[tex]3600= 600+ 6y[/tex]
Solve for 6y
[tex]6y = 3600 - 600[/tex]
[tex]6y = 3000[/tex]
Solve for y
[tex]y = 3000/6[/tex]
[tex]y = 500[/tex]
Hence:
The point is:
[tex]C = (30,500)[/tex]
Find the error and and the correct answer
Answer:
Error: Multiplied both sides by 3/4 instead of 4/3.
Solution: x = 16
Step-by-step explanation:
The error is that you multiplied both sides by [tex]\frac{3}{4}[/tex] instead of dividing both sides by [tex]\frac{3}{4}[/tex].
This is an error because:
[tex]\frac{3}{4} *\frac{3}{4} x\neq x[/tex]
Actually:
[tex]\frac{3}{4} *\frac{3}{4} x=\frac{9}{16} x[/tex]
What you want to do instead is divide both sides by [tex]\frac{3}{4}[/tex]. Remember, dividing both sides by [tex]\frac{3}{4}[/tex] would be the same as multiplying both sides by [tex]\frac{4}{3}[/tex].
Now, lets find the correct answer:
[tex]\frac{3}{4}x=12[/tex]
Multiply both sides by 4/3.
x = 16
So the correct answer would be x = 16.
I hope this helps. Happy studying.
solve for x 3x+10 3x -28 will mark brainest answers are 1. 33 2. 34 3. 35 4. 36 ty so much 1 left godbless
Answer:
1. x = 33Step-by-step explanation:
3x+10 + 3x -28 = 180
3x + 3x = 180 + 28 - 10
6x = 198
x = 198/6
x = 33
Answer:
33
Step-by-step explanation:
By the same side interior angle theorem, we can find that 3x + 10 and 3x - 28 are supplementary. Knowing this, we can make the equation:
(3x + 10) + (3x - 28) = 180
Now we can solve for x. Combine like terms.
6x - 18 = 180
Add 18 from both sides.
6x = 198
Divide both sides by 6.
x = 33
So the value of x would be 33.
I hope you find my answer and explanation to be helpful. Happy studying.
Identify all the numbered angles that are congruent to the given angle.
Justify your answers.
Answer/Step-by-step explanation:
The reasons for the stated numbered angles that are congruent to the given angles are written in the parentheses as follows:
7. <7 ≅ 65° (alternate interior angles)
<4 ≅ 65° (corresponding angles)
<1 ≅ 65° (vertical angles)
8. <4 ≅ 51° (alternate interior angles)
<5 ≅ 51° (corresponding angles)
<7 ≅ 51° (vertical angles)
9. <1 ≅ 120° (corresponding angles)
<3 ≅ 120° (alternate angles)
Solve and Simplify -3-7/8
Answer:-1.25
Step-by-step explanation: First you add -3 and -7 it is -10/8 then you devide -10/8 and it is -1.25
Peter is saving money to buy an MP3 Player. After one month, he has $50. After two months he has $85. After three months, he has $120. He plans to keep saving at the same rate. How long will it take Peter to save enough money to buy an MP3 Player that costs $295?
Answer:
9 months
Step-by-step explanation:
peter is saving 35 dollars per month.
295=35x
295/35=8.42 which is less than 295
9 is an approximate answer
35*9 equals 315, which is enough to pay 295 and have 20 dollars left over
Find the midpoint of the segment with the following endpoints.
(-6, 4) and (-1,-6)
Answer:
Hello
Midpoints of (-6,4),(-1,-6)
P(a,b)=(x1+x2/2),(y1+y2/2)
=(-6+-1/2),(4+-6/2)
=(-7/2),(-2/2)
=(-7/2),(-1)
Midpoints of the segment with endpoints (-6, 4) and (-1,-6) are (-7/2),(-1)
Hope it helps you......
Enter the value of 7 + (-3) - 3 - 7
Answer:
-6
Step-by-step explanation:
Simplify: 7 - 3 - 3 - 77 - 3 - 3 - 7 = -6I hope this helps!
Answer:
-3
Step-by-step explanation:
The ordered pairs below represent a relation. Is the relation a function? (4,6) (5,6) (6,7) (7,8)
Answer:
no because two inputs have the same outputs
Step-by-step explanation:
Evaluate the function.
f(x) = -x^2+ 7x - 13
Find f(-3)
Shanti is making prize bags for her friends. She will use a total of 32 toys and 40 erasers in the prize box. What is the greatest number of prize bags Shanti can make if she wants each bad to have the same number of toys in the same number of erasers? The greatest number of prize bags Shanti can make is ?
what is 56897712937e+ - (-73618260) ??
Your answer is 1.54737637e11
Answer:
154737637418
Step-by-step explanation:
How i do this yall..?
Solve for nn by simplifying both sides of the equation, then isolating the variable.
n=4, −2
Answer:
We know that a modulus gives us the absolute value of a number
Hence, this modulus will give a positive value, regardless of the actual value in the modulus
| -1 + n | = 3
(-1 + n) or (1 - n) = 3 -------------------This tells us that either one of the values will give us the same answer
-1 + n = 3 or 1 - n = 3
n = 4 or n = -2
Partial credit
00:00
Selma buys 10 juice boxes. She wants to give 2 juice boxes to each friend.
Part A
Which expressions can Selma use to figure out how many friends can get juice boxes? Choose all that apply
A.
10 - 2
B. 0 + 2. 2 + 24 + 2. 6 + 2
10 - 2
D
10 X 2
E. 10 - 2.8 - 2.6 -2.4 - 2.2 - 2
00:00
Part B
Solve the problem. How many friends can get juice boxes?
Enter you answer in the box
Answer:
A
Step-by-step explanation:
you will figure out how many friends can get juice boxes if you do 10-2 and you keep going until you have 0 left
Find the midpoint of the segment with the following endpoints.
(-6, 4) and (-1,-6)
Answer:
(−7 / 2, −1)
Step-by-step explanation:
Select a true statement *
15 points
To convert a Unit Rate into another, we have to add or subtract a Unit Ratio to the original Unit Rate.
To convert a Unit Rate into another, we have to multiply the original Unit Rate by one or two Unit Ratios.
To convert a Unit Rate into another, we have to obtain a denominator different than one.
It is no possible to convert a Unit Rate into another.
Answer: To convert a Unit Rate into another, we have to multiply the original Unit Rate by one or two Unit Ratios.
Step-by-step explanation:
Unit rates are usually convertible to other units using multiplication and division attributes to ensure equivalence depending on preference or units being converted. Once the ratio or proportion between the two units (original and target) have been obtained, the original Unit is multiplied by the ratio of the two units to obtain the target unit rate. This way both units are equivalent to each other.
Hi so i totally forgot basic algebra; is the difference of 5 and 6 expressed as 5-6 or 6-5
Answer:
6-5 because 6 > 5, so the difference is 1 instead of -1.
Step-by-step explanation:
Answer:
6-5
Step-by-step explanation:
you subtract it correctly
f(x) = 3x + 2
What is f(5)?
Hello!
f(x) = 3x + 2
Since you are provided with f(5), we will replace every "x" in the equation with the number 5.
f(5) = 3(5) + 2
f(5) = 15 + 2
f(5) = 17
I hope this helps you! Have a great day!
- Mal
The home that you want to purchase requires that you pay 3 points towards a $225,600 loan. Determine the cost of the home after the 3 points have been applied.
a.$225,600
c.$230,112
b.$227,856
d.$232,368
Answer:
D
Step-by-step explanation:
Comment above.
which answer is right
Which graph represents a proportional relationship?
What number is not an integer
3407, 6.729, 0, -46
Answer:
6.729
Step-by-step explanation:
Integers only include plsitive and negative numbers and zero. 6.729 is a number alright but it is a fractional or decimal number.
Simplify
56
to lowest terms.
64
Answer:
7/8 is the simplified fraction for 56/64 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 56/64 by using the prime factorization method.
Step-by-step explanation:
Johnny will work 15 hours a week during the 36 week school year, and 40 hours a
week the other 16 weeks of the year. If he makes 9 dollars per hour before taxes
and plans to save half of the money, how much will he have saved for the entire
year?
answer choices:
a- $4,248
b- $5,310
c- $10,620
d- $1,944
more FILL IN THE BLANKS FOR SCHOOL.... please help soon as possible
Answer:
2
Step-by-step explanation:
-42/14 = 3, so you need to cancel out the 1/2 being multiplied on the bottom part of the fraction
what is the steps to this problem.
2(3b-2)=2(2b+12)
Answer:
14
Step-by-step explanation:
Step 1:
2 ( 3b - 2 ) = 2 ( 2b + 12 ) Equation
Step 2:
6b - 4 = 4b + 24 Multiply
Step 3:
6b = 4b + 28 Add 4 on both sides
Step 4:
2b = 28 Subtract 4b on both sides
Step 5:
b = 28 ÷ 2 Divide
Answer:
b = 14
Hope This Helps :)
Who can help me with this
A: How many total hours were worked this week?
Answer- 14 hours were worked this week
B: How many overtime hours were worked?
Answer- 36 overtime hours were worked
I hope this helps you out!!
Answer:
A. 41 hours were worked the whole week
Write - 2.17 as a fraction
Answer:
2 17/100
Step-by-step explanation:
not sure if that is a negative sign before, if so, add the negative
is there a way you guys can show me how to graph this equation? if not something will do
Answer:
you can use an online graphing calculator
Step-by-step explanation:
Use the link in the screenshot
btw, the line after the word calculator is the cursor, so don't put anything after the word calculator.
If the second term in a geometric sequence is -8 and the common ratio is 2, what is the value of the third term?
-4
-10
-16
Answer:-16
Step-by-step explanation:
In the figure, m∠1=(2x+40)° and m∠8=(12x−20)° . PLEASE IM BEGGING FOR HELP
For what value of x is m∥n ?
Enter your answer in the box.
x =
Answer: x = 6
Step-by-step explanation:
Angles 1 and 8 are alternate exterior angles, so they are equal.
So you can create an equation to solve for x
12x−20 = 2x+40 Subtract 2x from both sides. Add 20 to both sides
10x = 60
x = 6
If you need the m∠1, Substitute 6 for x. (2x+40)° 2(6) +40= 12+40 m∠1= 52°
m∠8=(12x−20)° 12(6) - 20 = 72-20 m∠8 = 52°
Answer:
x=6
Step-by-step explanation:
free point