Answer:
b
Step-by-step explanation:
1. Explain why it makes sense to call the following expression a “perfect
square." *
x2 + 20x + 100
Answer:
because all sides are equal
The expression is a perfect square of (x+10)².
What is perfect square?A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25.
Given that the expression, x² + 20x + 100,
So, writing the expression as expanded form,
x·x + 2·10·x + 10·10
x² + 2·10·x + 10²
We see it is in the form of a² + 2ab + b²,
We know that, a² + 2ab + b² = (a+b)²
So,
x² + 2·10·x + 10² = (x+10)²
Hence the expression is a perfect square of (x+10)².
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If the radius of a circle is 2.6 inches, what is the diameter of the circle?
Answer:
5.2
Step-by-step explanation:
radius is half the diameter
Answer:
5.2in
Step-by-step explanation:
I need help figuring out the input and output and I have been struggling with it so muchh!!
Answer:
4=4
5=9
Step-by-step explanation:
Which ratio is equivalent to 7:3?
A. 21: 7
B. 28 : 12
C. 12 : 8
D. 49:9
Answer:
The answer is B.
Step-by-step explanation:
7x4 is 28 which means you have to multiply 3x4. That gives you 12. 28:12 is the proper ratio. (Hope this helped!)
Answer:
b.28/12
Step-by-step explanation:
Find the value of x.
Pls help:( me on this
Answer:
D
Step-by-step explanation:
Root square of 3 is 1.732, the root square of Pi is 1.77, the root square of 8 is 2.82 and the estimated value of Pi itself is 3.14.
How many pounds is equal to 1.5 Ton(s)?
Answer:
3000 pounds :)
hope this helped<3
Mrs. Hagan measured the height, in inches, of all the girls in her PE class. She recorded her results in
the following list.
63, 60,67, 62,58, 63, 68,
59, 62, 65,56, 63 59, 62,
58
13. Determine the 5-number summary and make a box-and-whisker plot for the data set.
14. Between what heights are the middle 50% of the girls in Mrs. Hagan's PE class?
Answer:
Step-by-step explanation:
5 number summery
Minimum: 56
Maximum: 68
Median: 62
First quartile: 59
Third quartile: 63
A rectangular shelf with an area equal to x^2-16x+60 square units could have which possible dimensions for length and width
Answer:
Step-by-step explanation:
x²-16x+60
=x²-6x-10x+60
=x(x-6)-10(x-6)
=(x-6)(x-10)
so dimensions are x-6 and x-10.
What is the equation of the graph below?
y = sec(x) + 2
y = csc(x) + 2
y = csc(x + 2)
y = sec(x + 2)
Answer:
y = csc(x) + 2
Step-by-step explanation:
The equation for the given graph is y = csc(x) + 2
What is an equation of a graph?'In graph theory, Graph equations are equations in which the unknowns are graphs. One of the central questions of graph theory concerns the notion of isomorphism. The graphs are expressed differently in terms of graph equations.'
According to the given problem,
We know, periodicity of a.csc( bx + c ) + d = [tex]\frac{periodicity of cscx}{[b]}[/tex]
The periodicity of csc(x) is 2π,
⇒ [tex]\frac{2\pi }{1}[/tex]
= 2π
Hence, we can conclude, the equation y = csc(x) + 2 represents the given graph.
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Elyssa bought a rectangular aquarium. The measurements, in feet (ft), are shown below.
How much water will it take to fill the aquarium
The price of the stereo was $96 the tax rate was 6% what was the tax
Answer:
101.76
Step-by-step explanation:
A certain car depreciates at
a rate of 14% per year. If the
purchase price of the car is
$26,000, what will the value
of the car be in 6 years?
How many seconds are there in
January?
Answer: 2,678,400
Step-by-step explanation:
There are 31 days in January and 2,678,400 seconds
Help please & thank you , need it asap
Answer:
x = 180 - 30 - 41 - 67 = 42°
I am completely lost someone help!:)
Answer:
[tex]x = 26[/tex]
Step-by-step explanation:
Given
The above triangles
Required
Find x
The two triangles are similar. So we make use of the following equivalent ratios, to solve for x
[tex]XZ : ZY = JL : LK[/tex]
Replace each side with their measurements
[tex]13 : 10 = x : 20[/tex]
Express as fraction
[tex]\frac{13}{10} = \frac{x}{20}[/tex]
Solve for x
[tex]x = \frac{13}{10} * 20[/tex]
[tex]x = 1.3 * 20[/tex]
[tex]x = 26[/tex]
name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.
Someone please help with this!!!!
Answer:
18. h = 14.4
19. h = 4.23
20. h = 15.28
21. h = 11.46
All answers are rounded to two decimal places.
Step-by-step explanation:
18. To find the height if you know all 3 sides. Multiply sides a & b, and divide the product by c.
x = (a * b)/c
x = (18 * 24)/30
x = 432/30
x = 72/5
x = 14.4
19. We know that the entire length of the hypotenuse is 27. However, 24 is needed here. That's 8/9 of 27, so 80 degrees is one of the angles. So we need to find the hypotenuse first. That can be done like this: b/sin(β)
24/sin(80)
24/0.98480775
24/1 * 4000000/3939231
8/1 * 4000000/1313077
32000000/1313077
24.3702388
Now to find the first leg, which will be the height of the entire triangle.
x = √c² - b²
x = √24.3702388² - 24²
x = √593.908539 - 576
x = √17.908539
x = 4.23184818
x = 4.23
20. This one requires similar work to #19, but the hypotenuse of the smaller triangle is x.
20/sin(60)
20/0.8660254
20/1 * 5000000/4330127
100000000/4330127
23.0940109
√23.0940109² - 20²
√533.333339 - 400
√133.333339
11.5470056
î The answer above is leg 2 of the smaller triangle.
x = √10² + 133.333339
x = √100 + 133.333339
x = √233.33339
x = 15.2752525
x = 15.28
21. There is no need to figure out what the height is. The entire triangle is 45-45-90.
x = (√18² + 18²) - 15
x = (√324 + 324) - 15
x = (√648) - 15
x = 25.46 - 15
x = 11.46
Explain please answer
Answer:
69.08
Step-by-step explanation:
2×3.14=6.28
6.28×11=69.08
PLEASE I NEED HELP
If f(x) = x/2 -3 and g(x) = 4x2+ x - 4, find (f+g)(x). A. 4x2 + 3/2x-7 B. 4x2 + 1/2x - 1 C. 6x2 - 7 D. 4x2 + 3/2x -1
Answer:
A.
[tex]4x {}^{2} + \frac{3}{2} x - 7[/tex]
Step-by-step explanation:
Add theses functions
[tex] \frac{x}{2} - 3 + 4 {x}^{2} + x - 4 \\ 4 {x}^{2} + \frac{3}{2} x - 7[/tex]
which of the following could be the graph of the line y=3x-2?
Answer:
D should be the right answer
Answer:
C. IS THE CORRECT ANSWER
Step-by-step explanation:
Find the measure of angles T and V.
W is 90
Full equation
90+ 2x +3x =180
5x = 180-90
5x = 90
X= 90/5
X= 18
T = 3 (18)
T= 54
V=2(18)
=36
What is 2+2???? very hard question I know that's why I need help.
Answer:
4
Step-by-step explanation:
Answer:
yes to get this answer u need to use ur brain
take 2 and 2
then see how many are there in all so it's 4
So u should mark me as brainlist
I’m begging for someone to help me with this so bad it about in order largest to small et) (NO LINKS) (NO LYING) IT MUST BE THa. PART 3
Answer:
1) AM, MY, AY
2) GY, GQ, QY
3) QM, QG, MG
4) YX, YG, XG
Step-by-step explanation:
In triangles, the shortest side is always the side that is directly across from the smallest angle while the longest side is always the side that is directly across from the largest angle.
Using this concept, we can answer the questions;
1) Largest side = AM
Smallest side = AY
Arranging from largest to smallest side;
AM, MY, AY
2) Largest side = GY
Shortest side = QY
Arranging from largest to smallest side;
GY, GQ, QY
3) Largest side = QM
Shortest side = MG
Arranging from largest to smallest side;
QM, QG, MG
4) Largest side = YX
Smallest side = XG
Arranging from largest to smallest side;
YX, YG, XG
F(x)=x^2. what is g(x)? point given is (4,1)
a. g(x)=(1/4x)^2
b. g(x)=4x^2
c. g(x)=1/4x^2
d. g(x)=(1/2x)^2
Answer:
It is (a)
[tex]g(x) = ( { \frac{1}{4} x})^{2} [/tex]
Step-by-step explanation:
I hope that is useful for you :)
None of the given options are correct.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
The point (4,1) is on the graph of the function f(x) = x^2. That means f(4) = 1.
We want to find the equation of a new function g(x) that satisfies the condition g(4) = 1.
One possible equation for g(x) that meets this condition is:
g(x) = a(x - 4)² + 1
where a is some constant that we need to determine.
Since the graph of g(x) is a parabola, we know that it has the form y = ax^2 + bx + c. We can use the point (4,1) to find a:
g(4) = a(4 - 4)² + 1 = 1
Simplifying this equation, we get:
a = 0
Therefore, the equation for g(x) is:
g(x) = 1
So the correct answer is (none of the above), because none of the given choices matches this result.
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I need help ASAP i will give brainlist
Answer:
M
Step-by-step explanation:
Answer:
Point M
Step-by-step explanation:
Each line represents 0.05 so M would best represent 1/3
can someone please explain how to do this?
Answer:
14)
tan θ = BC/AC = 9/13θ = arctan (9/13)θ = 34.7°15)
cos 45° = 14/xx = 14 / cos 45°x = 19.8im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answer:
he would have a 2/5 chance because he misses or hit three so he would either miss two or hit two according to the chart
Step-by-step explanation:
sry if I'm wrong but it would be one of the most valid answers
Answer:
3/10
Step-by-step explanation:
#2, 7 and 8 are the valid 3 goal trials out of 10
A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7x^2-420x+81,610. How many cars must be made to minimize the unit cost? Do not round your answer.
Answer:
300 cars must be made to minimize the unit cost
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
The cost of producing x cars is given by:
[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]
So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]
How many cars must be made to minimize the unit cost?
This is the xvalue of the vertex. So
[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]
300 cars must be made to minimize the unit cost
Does anyone know what the answer please?
Answer:
<1 = 73
Step-by-step explanation:
All triangle interior angles add up to 180 so:
<1 + 55 + 52 = 180
<1 + 107 = 180
<1 = 180 - 107
<1 = 73