Answer: The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.
Step-by-step explanation:
5
Which input value produces the same output value for
the two functions on the graph?
x = -1
x = 0
x = 1
x = 2
Answer:
x = 1
Step-by-step explanation:
Input values are x-values plotted on the x-axis, while output values are the y-values plotted on the y-axis.
The question is simply asking that, which value of x will give us the same y-value for the two functions graphed above.
The x value that will give us the same y-value for both functions is the point where the line of both functions intercept. At that point, when x = 1, y = 1, in both functions.
Therefore, the input value of x = 1, will give an output value of y = 1, for the two functions on the graph.
The Perimeter of a triangle is 90 cm. The triangle has side lengths of 2x + 5, 4x - 10, and x + 4. Find the value of x and the length of each side.
Answer:
I don't understand oof oof
Step-by-step explanation:
Which of the following sides are congruent?
Answer:
In these two parallelograms, the sides that are same are:
ST = WX
TU = XY
UV = YZ
SV = ZW
Therefore according to the question, the correct option is
d) ST = WX
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Mrs. Santos can cook the menu for a party in 4 hours. Mr. Salonga can work to fast as she can. If they work together to cook, how many hours will it cake them to finish cooking.
2 hours and 40 minutes
Step-by-step explanation:
Let a be Mrs Santos
Let b be Mr. Salonga
Mrs. Santos can cook the menu for a party in 4 hours
a = 4 hours
Mr. Salonga can work twice as fast as she can.
b = 2 ( 4) = 8 hours
The word time formula is
1/a +1 /b = 1/t
Where t is the total time
Substitute the values
1/4 + 1/8 = 1/t
1/4 + 1/8 = 2/8 + 1/8 = 3/8
Therefore
3/8 = 1/t
Doing cross multiplication
3*t = 1 * 8
3t = 8
Dividing both sides by 3
3t/3 = 8/3
t = 8/3 hours
t =2 \frac{2}{3}t=2
3
2
hours or 2 hours and 40 minutes
Solve the following equation and determine if it has one solution, no solution, or infinitely many solutions: 3x+1−3(x−1)=4
Answer:
1/3 , only one solution
Step-by-step explanation:
3x-1 = 1-3x
3x-1 = -3x+1
6x-1 = 1
6x = 2
x = 1/3
Answer:
Infinitely many solutions.
Step-by-step explanation:
[tex]3x+1-3(x-1)=4\\\\3x+1-1-3(x-1)=4-1\\\\3x-3(x-1)=3\\\\3x-3x-3=3\\\\\boxed{3=3}[/tex]
Hope this helps.
How do I do this problem
4x -2 + 5x +6
What does this equal
Answer:
9x+4
Step-by-step explanation:
What is the cardinal number of the set containing all negative integers greater than −8?
Answer: positive 7
Step-by-step explanation:
Cardinal number of the set containing all negative integers greater than −8 is 7.
What are cardinal number?In mathematics,cardinal numbers or cardinals for short, are generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number: the number of elements in the set.
Now the given set is all negative integers greater than -8.
Let S be the set,so
S = {-7,-6,-5,-4,-3,-2,-1}
now to find the cardinality, we see that set S has 7 elements.
Cardinality of Set S is 7.
Hence, cardinal number of the set containing all negative integers greater than −8 is 7.
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Help
(3x + 5) + (2x + 3)
Eqiuvelent Ratio for 23:37
Confused PLEZZZZZ HELLLPPPP
Answer:B
Step-by-step explanation:
Answer:
believe it is the last one because the room is decreasing at 4 per minute so it would be -4x. Then the room is a 300 capacity so you would minus the -4x from the 300 leaving the formula as p(x)=300-4x
Are there any outliers in the data?
Answer:
yes, there are a few outliers
Answer:
Yes
Step-by-step explanation:
30 is an outlier because it is much different from the other data points.
Reuploaded for about the eighth time, these are the last points I have, please help, I am giving up 100 points. Find the minimum value of f(x, y) = 4x - 2y for the polygonal region determined by the feasible region.
Replace x and Y with the points and solve:
4x -2y
(-4,-1) = 4(-4) - 2(-1) = -16 +2 = -14
(-4,-4) = 4(-4) - 2(-4) = -16 +8 = -8
(2,-3) = 4(2) - 2(-3) = 8 + 6 = 14
(3,-5) = 4(3) -2(-5) = 12 +10 = 22
The minimum value ( lowest ) is -14, which would be (-4,-1)
Find all zeroes of the function. Enter the real zeroes separated by commas.
Answer:
f(x)
=(x-4)[6(x^2)+23x+20]
=(x-4)(2x+5)(3x+4)
x=4,-2/5,-3/4
James is learning to type. At the end of the first month, James could type 9 words per minute. At the end of the second month of practice, James could type 18 words per minute. After another month of practice, James could type 27 words per minute. James continued to practice. At the end of five months, how many words could James type per minute?
Answer: The answer is 36. Hope you have a nice day.
There you go
At the restaurant, the cost of the meal before tax was
$40. The tax is 8.5%, and Sheri wants to leave at least
an 18% tip. Explain how to approximate the total cost of
the meal.
Answer:
so you add then multiply then subtract
Step-by-step explanation:
Answer:
First we estimate the percent's. 8.5% - 10%, 18% - 20%. Then we do the equation. If you add percent's you get 30% multiply that by 40 and you get 12. Add that to you problem and you get $52.
Step-by-step explanation:
Since the tax and gratuity were 4 and 8 dollars you can just add those up to the 40, but I did it another way.
This is the sample response if you want a better explanation.
The gratuity is about 20% of $40, which is $8. The tax is about 10% of $40, which is $4. So, the total cost is about $40 + $8 + $4 = $52.
1. What is the slope of the following equation? *
y= 3x - 3
A m=2
B m=1/2
Cm=3
Dm=-3
PLEASE HELP!!!
For the quadrant in which the following point is located, determine which of the functions are positive
(5. 7)
sin
sec
cos
cot
csc
tan
Step-by-step explanation:
The given point is
(5,7)
This is a point in the first quadrant.
In this quadrant all are positve.
If f(–2) = 0, what are all the factors of the function f(x)=x3-2x2-68x-120 ? Use the Remainder Theorem.
Answer:
it would be option C) (x – 10)(x + 2)(x + 6)
Step-by-step explanation:
You have to divide x^3 -2x^2 -68x -120 by x + 2 to get x^2 - 4x -60 and then factor
The factors of the function are (x + 2)(x - 10)(x + 6).
What is a polynomial?Any expression which is formed by using constants, variables, and exponents is polynomial, it is solved with the help of mathematical operators. Polynomial is made by the parts "poly" and "nominal" here "poly" means many and "nomial" means terms.
Given f(-2) = 0
f(x) = x³ - 2x² - 68x - 120 .........(1)
one factor of function is x + 2
divide the function by x + 2
multiply x² by x +2
x²(x + 2) = x³ + 2x²
subtract the term from equation 1 we get,
x³ - 2x² - 68x - 120 - x³ - 2x²
= -4x² - 68x -120 ......(2)
now multiply -4x by x + 2
-4x(x + 2) = -4x² - 8x
subtract the term from equation 2 we get
-4x² - 68x -120 - (-4x² - 8x)
-60x - 120 ........(3)
again multiply -60 by (x + 2)
-60(x + 2) = -60x - 120
subtract from equation 3
-60x - 120 - (-60x - 120) = 0
The quotient we get from the division is,
x² - 4x - 60
here are the factors of x² - 4x - 60 = (x - 10)(x + 6)
Hence, the factors of polynomials are (x + 2)(x - 10)(x + 6).
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A circular race track has a diameter of 120 ft.about how long would one lap of the track be
Answer:
The length of one lap of the track would be about 377 feet
Step-by-step explanation:
The length of any circular path is equal to the circumference of the circular pathThe circumference of a circle C = π d, where d is the lengths of its diameter∵ A circular race track has a diameter of 120 feet
→ That means the length of each lap equal the circumference of the track
∴ The length of one lap = C
∵ The diameter of the track is 120 feet
∴ d = 120 feet
∵ C = πd
∴ C = π(120)
→ Use π = 3.141
∴ C = (3.141)(120)
∴ C = 376.92 feet
→ Round it to the nearest whole number
∴ C ≅ 377 feet
∴ The length of one lap of the track would be about 377 feet
Which expressions are equivalent to 2[3/4x+7]-3(1/2x-5)? Check all that apply
Answer:
B, C, E
Step-by-step explanation:
This is correct. Trust me.
Answer:B, C, E
Step-by-step explanation:
What is the square root of 4?
A. 3
B.67
C.2
D.1
Answer:
C. 2
Step-by-step explanation:
Because 4/2=2
Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?
6(4a2 – 3)
6(8a2 – 9)
6a(12a – 9)
6a(18a – 12)
what value of x will make the given triangles congruent?
Answer:
2
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
The hypotenuse of each of the triangles have to be equal
7x -5 = 4x+25
Subtract 4x from each side
7x -4x-5 = 4x+25-4x
3x -5 = 25
Add 5 to each side
3x-5+5 = 25+5
3x= 30
Divide by 3
3x/3 = 30/3
x = 10
Rani is make rice pudding. She uses 3/4 cup of white rice for every 2 cups of milk. How many cups of rice does she need when she uses 3 cups of milk? Show your work.
Answer:
10
Step-by-step explanation:
Which two ratios show a proportional relationship?
A. 2/8 and 6/20
B. 4/6 and 15/20
C. 10/15 and 12/18
D. 15/18 and 20/25
Ms. Smith has 132 stickers to give to her students. She has 25 students. If she gives the same number of stickers to each of her students, how many stickers will she have left over? *
Answer: 7
To find the remaining amount, we must multiply up to 132.
25 x 5 = 125
Subtract 125 from 132.
132 - 125 = 7
Answer = 7
The number of stickers Ms. Smith has leftover is 7.
Ms. Smith has 132 stickers and 25 students. She gives each student the same number of stickers. In order to determine the number of stickers she would have left, the number of stickers each student got has to be determined first. The stickers each student got can be determined by dividing the total number of stickers by the total number of stickers.
Total number of stickers each student got = total number of stickers / total number of students
132 / 25 = 5 (to the nearest whole number).
The total number of stickers distributed.
5 x 25 = 125.
The total amount of stickers left = 132 - 125 = 7 stickers.
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21-28 please geometry
9514 1404 393
Answer:
21–24 and 28 are correctly marked
25: NEI; 26: ASA or LA; 27: SSS
Step-by-step explanation:
25: At least one side is required for showing congruence. In figure 25, only angles are shown congruent, so there is not enough information.
__
26: Two angles and the side between them are marked congruent. These triangles can be declared congruent by ASA. Considering they are right triangles, one could also invoke LA as the appropriate theorem.
__
27: The unmarked sides of the two outside triangles can be shown to be congruent by virtue of the fact they are opposite congruent angles in the middle triangle. Hence all three sides can be shown congruent for those outside triangles, and the SSS postulate can be invoked.
6 divided by 938 long division
114 = 3x +18 what is the missing vaule
Answer:
x=32
Step-by-step explanation:
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