Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
Find x, y, and z in the figure.
Answer:
Since x + y + z = 180° and z = 90°, y + z = 90°
Thus x + y = z
Step-by-step explanation:
Triangle ABC is similar to triangle DEF. What is the value of x in centimeters?
A. 17 cm
B. 16.5 cm
C. 15.4 cm
D. 18 cm
Answer:Triangle ABC is similar to triangle DEF. What is the value of x in centimeters?
Step-by-step explanation: it will be B
It cost $730 to put on a school play . How many tickets must be sold at $6 a piece in order to make a profit
Answer:
122
Step-by-step explanation:
if you do 730 divided by 6 the answer is 121.6666667 so you round it up to 122
ABC is isosceles AC=20 and BC= 3x-7
Answer:
x=9
Step-by-step explanation:
ill give brainliest, help me asap!
Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5. She is trying to compile a list of several right triangles but needs your help. Find the side lengths of at least two other right triangles.
Answer:
6-8-10
9-12-15
5-12-13
Step-by-step explanation:
We know the 3-4-5 right triangles work when you multiply the sides by anything. For example. 6-8-10 and 9-12-15 work.
If you want other right triangles that follow a similar pattern, 5-12-13 is also viable. 10-24-26 & 15-36-39 are all right triangles
The 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have:
Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5.
There are 6, 8, 10, 9, 12, and 15 other sides of the right-angle triangle.
On applying Pythagoras theorem.
6² + 8² = 10²
9² + 12² = 15²
Thus, the 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.
Learn more about the right-angle triangle here:
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Someone help me ASAP !
Answer:
31
Step-by-step explanation:
Plz Conrad's 3/4 times 4/8 plz
Answer:
The answer is 3/8.
Hope this helped!!
Solve this system of equations by using the elimination method -2x-2y=-6, 3x+4y=8
Step-by-step explanation:
- 2x-2y=-6
3x+4y=8
multiply equation (1) by 3 and equation (2) by 2
- 6x-6y=18
6x+8y=16
Add
2y=34
y= 34÷2
y=17
substitute 17 for y in equation (2)
3x+4y=8
3x+4(17)=8
3x+68=8
3x=8-68
3x=-60
x=-60÷3
x=-20
x=-20,y=17
does anyone know the answer to this ?
Answer:answer b
Step-by-step explanation:
Answer:
I think it is B
Step-by-step explanation:
Find the first four terms of the sequence given by the following.
an= 9(2)^-1,
n=1, 2, 3...
Answer:
See this attachment...
Step-by-step explanation:
Your answer dear
hope it's helpful to you
PLEASE HELP, ILL MARK BRAINLIEST
""solve triangle ABC using the given information round triangle measures to the nearest degree and side measure to the nearest tenth
9514 1404 393
Answer:
a) A = 73°, C = 59°, a = 16.7
b) A = 11°, C = 121°, a = 3.3
Step-by-step explanation:
The Law of Sines can be used to find angle C. Then the sum of angles in the triangle can be used to find angle A. The length of 'a' can be found either from the Law of Sines or the Law of Cosines at that point.
The given angle is opposite the shorter of the two given sides, so there are two possible solutions.
Acute triangle solution
The Law of Sines gives the relation ...
sin(C)/c = sin(B)/b
sin(C) = (c/b)sin(B)
C = arcsin(c/b·sin(B)) = arcsin(15/13·sin(48°)) ≈ 59°
Then angle A is 132° -59° = 73°, and side 'a' is ...
a = 13·sin(A)/sin(B) = 13·sin(73°)/sin(48°) ≈ 16.7
__
Obtuse triangle solution
The other value of arcsin(15/13·sin(48°)) is used:
C ≈ 121° ⇒ A = 11°
a = 13·sin(11°)/sin(48°) ≈ 3.3
__
The two solutions are ...
A = 73°, C = 59°, a = 16.7
A = 11°, C = 121°, a = 3.3
We note that the drawing is of an acute triangle, so that solution may be the one that is preferred.
_____
Additional comment
In the above presentation, we have rounded angle values to the precision required by the problem statement (nearest degree). However, in the actual calculations, we have used the full calculator precision. Only the final answers have been rounded.
The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3
Answer:
Option B (16 cm³)
Step-by-step explanation:
GIVEN :-
Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³TO FIND :-
Volume of coneFACTS TO KNOW BEFORE SOLVING :-
Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is [tex]\frac{1}{3} \pi r^2 h[/tex]Hence ,
Volume of cylinder = Thrice the volume of cone
[OR]
Volume of cone = One third of volume of cylinder
PROCEDURE :-
Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]
Question 3 (1 point) A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.
Answer:
72
Step-by-step explanation:
Given that :
Triangle is right angled ;
Leg length = 21 ; hypotenus = 75 ; Length of missing leg =?
From Pythagoras :
Length of leg 2 = sqrt[(hypotenus )² - (length of leg1)²]
Let length of leg 2 = x
x = sqrt[(75 ² - 21²)]
x = sqrt(5625 - 441)
x = sqrt(5184)
x = 72
A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.
Which values are solutions to the inequality below?
Check all that apply.
The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams
Answer:
HELP ME!?
Step-by-step explanation:
What will happen to a number, if it was added to its inverse?
Answer:
The word "inverse" in the question is ambiguous, since x usually has inverses under both addition and multiplication. ... If the question is asking about the additive inverse (opposite), then the sum is always 0 for any x . So the sum takes its maximum value for any x .
Step-by-step explanation:
Answer:
Zero
Step-by-step explananation:
An inverse is the opposite of another number, so if you add them together it would equal zero.
Here are a few examples.
5+-5=0
9+-9=0
150+-150=0
-220+220=0
-476+476=0
The inverse is simply the originall number, but on the opposite side of the number line. Meaning you add or take away the negative sign, depending on the original number.
Hope I explained well:)
You move left 3 units. You end at (-3, 5). Where did you start? please someone help!!!!
HELP! 9 is what percent of 100 (need to show how I got my answer)
Answer:
9%
Step-by-step explanation:
We can start by changing this number to a fraction.
[tex]\frac{9}{100}[/tex]
We know that 100 is a whole percentage
Therfore, we would get 9%
Juan wants to buy a doll house that is 45% off. The original price is
$74.85.
What is amount of discount (nearest hundredth)?
Answer this quick pls!! :,)
Answer:
well if you would divide 74.85 by 45% you would 33.6825.
and also i am the same guy that you answered a question from bioligy i got 3 more questions plaese answer them if you can.ty:)
Answer:
$33
Step-by-step explanation:
Given :
45%
$74.85
45% of 74.85 is
Answer = $33
true or false? typing 720 words in 12minutes is equal to 60 words per minute
Answer:
720/60
=12
Yepz
Step-by-step explanation:
TrueHope it helps
Answer:
It's True
Step-by-step explanation:
1 minute = 60 words
then how many words in 12 minutes?
So, Multiply 12 with 60
12 × 60 = 720
Thus, 720 words can be type in 12 minutes
-TheUnknownScientist
Factor the Polynomial
5x2 + 45x
Answer:
55x
Step-by-step explanation:
5x*2+45x=
10x + 45x= 55x
Lemon buys a comic book priced at $130.42. The sales tax rate is
4.9%.
What is the tax amount to the nearest cent?
pls answer this lol
Answer:
[tex]\huge\boxed{\$\ 6}[/tex]
Step-by-step explanation:
Price = $130.42
Sales tax = 4.9% of 130.42
Tax as amount:
= 4.9 / 100 * 130.42
= 0.049 * 130.42
= 6.3
≈ $6
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807A set of data points has a line of best fit of y= -0.2x + 1.7. What is the residual for the point (5, 1)?
Α. 1.5
Β. Ο.7
C. 0.3
D. -0.3
Answer: 0.3
Step-by-step explanation: I took the test
Your friend is trying to solve the equation. Is your friend correct? Does x = 15? How do you know?
Answer:
no he is not correct you are supposed to divide by -5 and the correct answer is -4
Step-by-step explanation:
pls mark brainliest
Answer:
No x doesn't equal to 15. And I know this because -5 -5 = 15 ? which is no
the side of the clip board appears to be a right triangle . the leg length are 2 millimeters and 2.1 millimeters and the hypotenuse is 2.9 millimeters. is the thee of the clip a right triangle ?
It is because u can only do pathagreom therom on right triangles.
2*2 + 2.1*2.1
4+4.41=8.41
square root of 8.41 is 2.9 so that confrms the therom which isaversa confirms it is a right triangle.
A cylinder has a height of 17 millimeters and a radius of 6 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
1921.68mm^3
Step-by-step explanation:
Given data
H=17 millimeters
R=6 millimeters.
We know that the expression for the volume of cylinder is
V= πr^2h
substitute
V= 3.14*6^2*17
V= 3.14*36*17
V= 1921.68 mm^3
Hence the volume is 1921.68mm^3
Eight years ago, Manny was 4 years old. Let m equal Manny's age now. Circle every equation that shows Manny's age now.
Answer:
4+8=M or 4+8=12 or just 12
Step-by-step explanation:
there isnt anything to circle so but since he was 4, 8 years ago, you would add 4 and 8.
Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain
Answer:
Yes
Step-by-step explanation:
Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]
This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.
Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.
The age of trees in a forest is known to be approximately normal with an average age of 40 years and a standard deviation of 10 years. What is the standardized score for a tree that is 34 years old?
Answer: D. -0.6
Step-by-step explanation:
Z score formula= x-mean/ SD
34-40/10= -3/5= -0.6
The standardized score for a tree that is 34 years old is -0.6
We have given that,
The age of trees in a forest is approximately normal with an average age of 40 years and a standard deviation of 10 years.
We have to determine what is the standardized score for a tree that is 34 years old
What is the Z-score formula?Z score formula= x-mean/ SD
We use the given values in the above formula so we get,
Z score =34-40/10
Z score = -3/5
Z score = -0.6
Therefore, The standardized score for a tree that is 34 years old is -0.6
To learn more about the Z score visit:
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write a linear function that shows the linear relationship in the table below.
Answer:
y=1/2x+7
Step-by-step explanation:
First find the slope of the function
Use slope formula:
10-9/6-4 =1/2
M= 1/2x
Find y-intercept:
9=1/2(4)+b
B=7