➷ 1st side = x - 3
2nd side = x
3rd side = x - 1
Form an equation:
x - 3 + x + x - 5 = 28
Simplify:
3x - 8 = 28
Add 8 to both sides:
3x = 36
Divide both sides by 3:
x = 12
first length = 12 - 3 = 9 inches
second length = 12 inches
third length = 12 - 5 = 7 inches
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The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.
The image represent the graph of the function.
//Hope it helps.
Answer:
The axis of symmetry is x = –4.
The domain is all real numbers.
The function is negative over (–6, –2).
or BCE
Step-by-step explanation:
The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.
The axis of symmetry is x = –4.
The domain is all real numbers.
The function is negative over (–6, –2).
or BCE
The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the form
g(x) = (x – h)3 + k.
Answer:
First option
h = 4 and k = - 2
Step-by-step explanation:
f(x) = x^3 translated to g(x) = (x – h)^3 + k.
f(x) transformed to g(x) with 4 units to the right and 2 units down
g(x) = (x - 4)^3 - 2
h = 4 and k = - 2
The translated function is g(x) = (x - 4)³ - 2, the correct option is the first one.
Which equation represents the translated function?For a general function f(x), we can define:
Vertical translation of N units as:
g(x) = f(x) + N
if N < 0, the translation is downwards.
if N > 0, the translation is upwards.
Horizontal translation of N units as:
g(x) = f(x + N)
if N > 0, the translation is to the left.
if N < 0, the translation is to the right.
Here we can see that we have a translation of 4 units to the right and 2 units down, then the translated function is:
g(x) = (x - 4)³ - 2
The correct option is the first one.
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five less than the product of 9 and a number equals 3
use the varaible x for unknown number.
answer is: 9x - 5 = 3
How to solver this problem
Answer:
9000
Step-by-step explanation:
multiply all of it....if i am wrong then i truly apologize
A triangular pyramid has a height of 27 yards and a base with an area of 210 square yards.
What is the volume of the pyramid?
Answer:
1890 yd³
Step-by-step explanation:
V = ½Ah
= ½ × 210 × 27
= 1890 yd³
The volume of the pyramid is 1890 yd³.
Jayden places a rectangular doormat in front of his door. The doormat has an area of [tex]\frac{1}{3}[/tex] square foot and a width of [tex]\frac{1}{2}[/tex] foot. What is its length?
Answer:
2/3 or 0.6667
Step-by-step explanation:
L (length) = A/W (area/width)
L = 1/3 / 1/2
1/3 * 2/1 = 2/3
Translate the algebraic expression 7(8j+4+9j) to a verbal expression.
Seven times the value of eight j plus four plus nine j
Which side lengths form a right triangle
Answer:
b
8+3^2=17 ..
Answer:
B
Step-by-step explanation:
Please, please try to understand the concept before turning to here.
TO REITERATE YET AGAIN, use the Pythagorean Theorem.
a^2+b^2=c^2.
If this equation checks out, it is a right triangle.
can someone pls help ASAP
Answer:
3) x= 5, -2
4)x= -3, -5
What is the solution to this inequality x-8>-3
Move all terms not containing x to the right side of the inequality.
Answer: x > 5
How many triangles exist with the given angle measures?
30, 65, 85
A. No triangle exists
B. More than one unique triangle exists
Because triangles also equal a total of 180 degrees, the answer is B
The triangles exist with the given angle measures should be option b.
The following information should be considered;
Since the angle measures are 30,65 and 85Also the total of triangle is 180.Therefore there should be more than 1 unique triangle that is existed.learn more: https://brainly.com/question/4626564?referrer=searchResults
A club rent a bus for a trip the cost c in dollars that each person pays to cover the cost of the bus varies inversely with the number of people p who go on the trip it will cost $30 per person if 50 people go on the trip how much will it cost per person and 40 people go on the trip.
Answer:
[tex]c=\$37.5[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
In this problem we have
[tex]c*p=k[/tex]
step 1
Find the value of the constant k
For [tex]c=30, p=50[/tex]
substitute
[tex]k=30*50=1,500[/tex]
the equation is
[tex]c*p=1,500[/tex]
step 2
Find the value of c for [tex]p=40[/tex]
substitute in the equation and solve for c
[tex]c*(40)=1,500[/tex]
[tex]c=\$37.5[/tex]
A and B are independent events. P(A)=0.60 and P(B)=0.30
what is P(A and B)
Answer:
0.18
Step-by-step explanation:
This is a very simple problem that can be solved with a simple formula.
When there are two independent events A and B, the formula is:
P(A and B) = P(A) * P(B)
So we just need to multiply P(A) and P(B) to get P(A and B).
Thus,
P(A and B) = P(A) * P(B) = 0.60 * 0.30 = 0.18
Answer:
P (A and B) = 0.18
Step-by-step explanation:
We are given that A and B are independent events which means that occurrence of one event does not have any impact on the other event.
Given that P(A)=0.60 and P(B)=0.30, we are to find the probability P(A and B).
To find this, we just simply need to multiply the probabilities of the two events.
P (A and B) = 0.60 × 0.30 = 0.18
What is the total amount paid for a bill of $83.97 with a gratuity of 20%? (Round to the nearest cent.)
Answer:
Tip Amount: $ 17
Tip Each Person: $ 17
Bill Each Person: $ 84
Total (Bill + Tip): $ 101
Total Each Person: $ 101
Step-by-step explanation:
Consider the equation y= kx where y= 7.5 and x=3. Which value represents k?
Answer Choices:
A) k= 22.5
B) k= 4.5
C) k= 0.4
D) k= 2.5
[tex]y = kx\\ \frac{y}{x} = k \\ \frac{7.5}{3} = 2.5[/tex]
the answer is D) k=2.5
the answer is D) k=2.5
a beach ball has a diameter of 2 feet. which of the following is closest to the volume of the beach ball. a.4.2ft b. 12.6ft c. 16.8ft d. 33.5ft
Answer: A
Step-by-step explanation: v= 4/3 pi r^3
Take diameter to radius by dividing it by 1/2
The volume of the beach ball with a diameter of 2 feet is approximately 4.2 cubic feet, calculated using the volume formula for a sphere, resulting in choice (a) being the closest match.
Explanation:To find the volume of the beach ball, we must use the formula for the volume of a sphere, which is V = ⅔×π×r³, where r is the radius of the sphere. Since the diameter of the beach ball is 2 feet, its radius is half of that, which is 1 foot. Plugging the values into the formula:
V = ⅔×π×(1 ft)³
Let's calculate:
V = ⅔×π×(1)³
V = 4.18879 cubic feet (approximately)
So, the volume of the beach ball is approximately 4.2 cubic feet, which corresponds to choice (a).
A scale factor of _____ was applied to the first triangle.
1:4 is the scale factor of the triangle
Can you plz help me i need the anwser will give brainliest
Answer:
well you got the answer correct
Step-by-step explanation:
find the area
first 14+7+5+5
next add the total by 36
finally you'll get the answer
Answer:
36 + total =
In a field, Raja, Mary, and Miguel are standing in the shape of a triangle. Raja is 128 feet from Mary and Mary is 143 feet from Miguel. Which of the following is a possible distance between Raja and Miguel?
I think the possible distance between them is 153 feet because 128 feet is the smallest so it would be the bottom, 143 feet and 153 feet would be the sides because they are the closest in size.
Answer:
The possible distance between them is 153 feet because 128 feet is the smallest so it would be the bottom, 143 feet and 153 feet would be the sides because they are the closest in size.
Step-by-step explanation:
The person who answered this is correct, also, please mark me brainliest, i took the test and got 100% hope this helps:)
enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths
Answer:
Length (cm) Width (cm)
6 18
8 24
10 30
12 36
Step-by-step explanation:
Length (cm) Width (cm)
6 (x3) 18
8 (x3) 24
10 (x3) 30
12 (x3) 36
The length of a rectangle is shown below:
If the area of the rectangle to be drawn is 10 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle?
C(-1, 1), D(1,1)
C(-1, -2), D(1,-2)
C(-1, 5), D(1, 5)
C(-1, -7), D(1, -7)
Answer: Second option.
Step-by-step explanation:
As you can see in the graph attached, the lenght of the side AB is 2 units.
The formula for calculate the area of rectangle is:
[tex]A=l*w[/tex]
Where l is the length and w is the width.
Therefore, if the area of the rectangle to be drawn is 10 square units and you know AB=2 units and CD lies vertically below BA , then you can solve for the length:
[tex](10units^2)=(2units)l\\l=5units[/tex]
Therefore C and D are located at:
[tex]C=B(-1, 3-5)=> C(-1,-2)[/tex]
[tex]D=A(1, 3-5)=> D(1,-2)[/tex]
Answer:
The correct answer is,
Option 2). C(-1, -2), D(1,-2)
Step-by-step explanation:
It is given that,If the area of the rectangle to be drawn is 10 square units
To find the length of rectangle
From the figure we get length of AB = 2 units
Therefore Area = length * breadth = 10
Therefore length = 10/2 = 5 units
To find the points of C and D
we have B(-1, 3)
The point C is 5 units below the point B
Therefore C(-1, 3-5) = C(-1,-2)
we have A(1, 3)
The point D is 5 units below the point B
Therefore D(1, 3-5) = A(1,-2)
Therefore the correct answer is option 2
I need help I do not understand.
9+ -6 -6
What do you want to know?
A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches. What is the volume of the prism? Answer ASAP
For this case, we have that by definition, the volume of a rectangular prism is given by:
[tex]V = A_ {b} * h[/tex]
Where:
[tex]A_ {b} = l * w,[/tex] It is the area of the base
h: It is the height of the prism
So:
[tex]l = 3 \frac {1} {2} = \frac {6 + 1} {2} = \frac {7} {2} in\\w = 5 \ in\\h = 1 \frac {1} {2} = \frac {2 + 1} {2} = \frac {3} {2} in[/tex]
So, we have:
[tex]A_ {b} = \frac {7} {2} * 5\\A_ {b} = \frac {35} {2}\\A_ {b} = 17.5 \ in ^ 2[/tex]
Thus, the volume will be:
[tex]V = 17.5 * \frac {3} {2}\\V = 26.25 \ in ^ 3[/tex]
Answer:
[tex]V = 26.25 \ in ^ 3[/tex]
Jaclyn gets a hit 40% of the time while playing softball. She is going to use colored tiles to simulate her chances of getting a hit. Green tiles will represent hits, while red tiles will represent times Jaclyn does not get a hit. She will place the tiles in a bag, and then draw the tiles from the bag one at a time. Jaclyn places 12 green tiles in a bag. How many red tiles should she place in the bag?
Answer:
18 red tiles
Step-by-step explanation:
One way to look at this problem would be to take the number of tiles that Jaclyn used to get a possibility of 40% hits.
Jaclyn put 12 green tiles, this represents the 40% of the hits that she could get.
Now we know that 12 = 40%
We need to find how many red tiles she should put to still keep the 12 green tiles as 40%. We can also assume that 12 red tiles would be another 40%.
So we have 12 red tiles currently.
Now we still have another 20% left.
Since 12 red tiles = 40%, we can assume that:
6 red tiles = 20% of the total.
So if we add both the 40% red tiles to the 20% red tiles we get:
12 + 6 = 18 red tiles.
So Jaclyn will have to put 18 red tiles and 12 green tiles to simulate her chances of getting a hit.
Someone knows the answer for this ?
Answer:
Option B.
Step-by-step explanation:
Each summation symbol tells you to add terms. The terms are obtained by replacing n in the expression with the integers 1, 2, 3, 4, 5, and 6.
Let's look at option A:
The expression is 2(2)^n.
Replacing n with 1, 2, ..., 6 gives us these terms, which are added:
2(2)^1, 2(2)^2, 2(2)^3, 2(2)^4, 2(2)^5, 2(2)^6
The terms above simplify to:
4, 8, 16, 32, 64, 128
Clearly these are not the terms in the series you are given, so option A is not the answer.
Let's now look at option B:
Replacing n in 2n with 1, 2, 3, ..., 6 gives us:
2(1), 2(2), 2(3), 2(4), 2(5), 2(6) which simplifies to 2, 4, 6, 8, 10, 12.
Since it's a summation, you add the terms above to get
2 + 4 + 6 + 8 + 10 + 12
Option B is the answer.
x = 2.5 5y + 2x = -10
Answer:
y = -3, x = 2.5
Step-by-step explanation:
5y + 2x = -10 if x = 2.5
5y + 2(2.5) = -10
5y + 5 = -10
5y = -15
y=-3
Solve the equation.
37 – 18 + 8w = 67
Answer:
6
Step-by-step explanation:
37 – 18 + 8w = 67
(37-18)+8W=67
19+8W=67
8W=67-19
=48
W=48/8
=6
Answer:
6
Step-by-step explanation:
[tex]37-18+8w=67\\19+8w=67\\19-19+8w= 67-19\\8w=48\\8w/8=48/8\\w= 6[/tex]
c3=27
(type an integer or a simplified fraction.)
Answer:
c=3
Step-by-step explanation:
c^3 =27
Take the cube root of each side
(c^3) ^ 1/3 = 27 ^ 1/3
c = 3
We know that 3*3*3 = 27
Which represents an exterior angle of triangle ABF?
∠BAD
∠AFE
∠CAD
∠CAB
Answer:
The correct answer is CAB
Step-by-step explanation:
Exterior angles include two corner points and one point not on the triangle. Thus CAD would be an exterior angle.
The angle that represents an exterior angle of [tex]\triangle ABF[/tex] is: d. ∠CAB
An exterior angle of a triangle is an angle outside the triangle that is adjacent to an interior angle of a triangle, and also shares same side together.An illustration of an exterior angle of a typical triangle has been shown in the diagram attached below.
The angle that is marked green is an exterior angle.
Analyzing the diagram given for this question, the only exterior angle of triangle ABF from the list of answer choices given is <CAB.
Therefore, the angle that represents an exterior angle of [tex]\triangle ABF[/tex] is: d. ∠CAB
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please help !!!!!!!!!!!!
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