Answers
Answer:
the x value
Step-by-step explanation:
Related Questions
Which statements about these triangles is true
Answers
Answer:
I’m not sure, but I think it’s C
Solve x2 – 64 = 0.
1. Isolate x2: x2 = 64
2. Apply the square root property of equality: 7x2 = 1/64
3. Isolate the variable:
0
x =
x=
Answers
Answer:
x = - 8, x = 8
Step-by-step explanation:
Given
x² - 64 = 0 ( add 64 to both sides )
x² = 64 ( take the square root of both sides )
x = ± [tex]\sqrt{64}[/tex] = ± 8
NEED HELP ASAP 10 POINTS
Answers
Answer:
unlikley
Step-by-step explanation:
Find the value of x in the triangle.
Answers
Hello there!
X = 67°
Answer and work are provided in the image attached.
Both the red and blue line segments stretch from the center of the circle to a
point on the circle. The length of the blue line segment is 7. How long is the
red line segment?
Center
O A. 14
O B. 7
O C. 10.5
O D. 3.5
Answers
Answer:
7
Step-by-step explanation:
Blue is 7 and the Red is 7
Answer:
7
Step-by-step explanation:
The length of a rectangle is 3 inches less than twice the width. If the perimeter of the rectangle is 18 inches, find the width of the rectangle
Answers
Answer:
y = 4. So this is your width.
Step-by-step explanation:
Use the distributive property to do 2(2y-3) = 2*2y-2*3 = 4y-6. So we have
4y-6+2y = 18. Combine like terms 4y and 2y to get 6y.
6y-6 = 18. Add 6 to both sides to solve for 6y
6y = 24. Divide by 6 to solve for y
y = 4. So this is your width.
length = x
________________
| |
y | | width = y
| |
_________________
x
The width of the rectangle is determined to be 4 inches.
To find the width of the rectangle, we need to set up equations based on the information given. The length (L) is described as being 3 inches less than twice the width (W), so we can express that as L = 2W - 3. The perimeter (P) of a rectangle is calculated as P = 2L + 2W. We are told the perimeter is 18 inches, so we have 18 = 2(2W - 3) + 2W. Simplifying this equation, we get 18 = 4W - 6 + 2W, which combines to 18 = 6W - 6. Adding 6 to both sides gives us 24 = 6W, and dividing both sides by 6 yields W = 4 inches. Therefore, the width of the rectangle is 4 inches.
The process used here is similar to working through proportions and scale factors. For instance, if one is working with scale models, as in the miniature fish pond example, the scale factor is used to determine the dimensions in the model based on actual size dimensions. However, in this case, the given equations allowed us to find the width directly.
a bicycle tire is 28 inches in diameter. approximately how far does the bicycle move forward each time the wheel goes around? (use 22/7 as an approximation for pi.)
Answers
Answer: 88 inches
Step-by-step explanation:
Given : A bicycle tire is 28 inches in diameter. approximately.
To find the distance traveled by the bicycle each time the wheel goes around we need to find the circumference of the tire.
The circumference of a circle : [tex]\pi d[/tex], where d is the diameter of the circle.
Now, the circumference of tire : [tex]\dfrac{22}{7} \times(28)=88[/tex]
Hence, the distance traveled by the bicycle each time the wheel goes around =88 inches.
The wheel moves forward each time, in a single round it will cover distance of 88 inches.
Given information:
The diameter of the tire is 28 inches.
Now, if we need to find the distance covered by the tire in one round, we need to understand that the tire will cover exactly same distance as it's circumference in one round.
So, the distance will be equal to its circumference :
[tex]D=\pi\times d[/tex]
Hence, distance covered (D)
[tex]D=3.14\times 28\\D=88[/tex]
Hence, when the wheel move forward each time the in a single round it will cover 88 inches.
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what is 10 divided by 05
[tex]10 \div .05[/tex]
Answers
let's convert the 0.05 to a fraction first, so we have two decimals, so our fraction will have two zeros then.
[tex]\bf 0.\underline{05}\implies \cfrac{005}{1\underline{00}}\implies \cfrac{1}{20} \\\\[-0.35em] ~\dotfill\\\\ 10\div 0.05\implies \cfrac{10}{1}\div \cfrac{1}{20}\implies \cfrac{10}{1}\cdot \cfrac{20}{1}\implies 200[/tex]
HELP PLEASE I'M CRYING, EASY 2 QUESTIONS
Answers
Answer:
12) 154 squared meters
13) 307 cm^2
Step-by-step explanation:
12) A circle has area pi*r^2
r is half the diameter so half of 14 is 7
pi in this case is 22/7
A=22/7 * (7)^2
A=22/7 * 49
A=22 *49/7
A=22 *7
A=154 squared meters
13) Area of rectangle is 10(18)=180
Area of half a circle is .5*pi*r^2=.5*pi*9^2
Adding the two areas together would result in a total area of 307.2 squared centimeters
One number is 4 less than 3 times a second number. If 3 more than two times the first number is decreased by 2 times the second number, the result is 11. Use the substitution method. What is the first number?
Answers
Answer:
The first number is 8
Step-by-step explanation:
Let
x -----> the first number
y ----> the second number
x=3y-4 ----> equation A
3+2x-2y=11 ----> equation B
Substitute equation A in equation B and solve for y
3+2(3y-4)-2y=11
3+6y-8-2y=11
4y=11+5
y=16/4=4
Find the value of x
x=3(4)-4=8
12 cm
5 cm
A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the
height of the prism is placed inside the prism, as shown in the figure.
The volume of the space outside the pyramid but inside the prism is
cubic centimeters
Answers
The volume of the space outside the pyramid but inside the prism is 250 cubic centimeters.
To find the volume of the space outside the pyramid but inside the prism, we first need to determine the volumes of both the prism and the pyramid.
The prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. The volume of a rectangular prism is calculated by multiplying the base area by the height. In this case, the base area is 5 cm * 5 cm = 25 square centimeters. Therefore, the volume of the prism is 25 cm² * 12 cm = 300 cubic centimeters.
The pyramid has the same square base as the prism, with sides measuring 5 centimeters. However, its height is half that of the prism, which is 12 cm / 2 = 6 centimeters. The volume of a pyramid is calculated by multiplying the base area by one-third of the height. In this case, the base area is 25 cm², and one-third of the height is 6 cm / 3 = 2 centimeters. Therefore, the volume of the pyramid is 25 cm² * 2 cm = 50 cubic centimeters.
To find the volume of the space outside the pyramid but inside the prism, we subtract the volume of the pyramid from the volume of the prism: 300 cubic centimeters - 50 cubic centimeters = 250 cubic centimeters.
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Prove that when x> 1, a triangle with side lengths a = x2 - 1, b = 2x, and C = x2 + 1 is a right triangle. Use the Pythagorean
theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule
describing right triangles. Explain your steps.
Answers
Step-by-step explanation:
a = x^2 - 1
b = 2x
c = x^2 + 1
The Pythagorean theorem states
a^2 + b^2 = c^2
Let's find a^2 and b^2 and add them to get a^2 + b^2:
a^2 = (x^2 - 1)^2 = x^4 - 2x^2 + 1
b^2 = (2x)^2 = 4x^2
a^2 + b^2 = x^4 - 2x^2 + 1 + 4x^2 = x^4 + 2x^2 + 1
Now let's find c^2:
c = x^2 + 1
c^2 = (x^2 + 1)^2 = x^4 + 2x^2 + 1
We see that both a^2 + b^2 and c^2 equal x^4 + 2x^2 + 1, so we have shown that the triangle is a right triangle.
We can see that a² + b² = c² = x⁴ + 2x² + 1, indicating that the triangle is a right triangle.
What is the definition of a right-angle triangle?
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometric function.
According to Pythagoras, the sum of the squares of two sides equals the square of the longest side.
Given data;
a = x² - 1
b = 2x
c = x² + 1
According to the Pythagorean theorem;
[tex]\rm a^2 + b^2 = c^2[/tex]
Let's find a^2 and b^2 and add them to get a^2 + b^2:
[tex]\rm a^2 = (x^2 - 1)^2 \\\\ a^2 = x^4 - 2x^2 + 1 \\\\ b^2 = (2x)^2 \\\\ b^2 = 4x^2\\\\[/tex]
Left hand side:
[tex]\rm a^2 + b^2 = x^4 - 2x^2 + 1 + 4x^2 \\\\ a^2 + b^2 =x^4 + 2x^2 + 1[/tex]
Right hand side:
[tex]\rm c^2 = (x^2 + 1)^2 \\\\ c^2 = x^4 + 2x^2 + 1[/tex]
L.HS.=R.H.S
Hence,the given triangle is a right angled triangle.
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Factorise (x-y)4-(x-y)2
Answers
Answer:
Step-by-step explanation:
Let x - y = A
A^4 - A^2
A^2 ( A^2 - 1)
A^2 (A + 1)(A - 1)
(x - y)^2 (x - y + 1)(x - y - 1)
If I have not thought out the question properly please leave me a note.
20 points for this. I just gotta know so I can pass summer school lol
Answers
Answer: Point, Point, Line
Step-by-step explanation:
A plane and a line intersect at a point . Think of a piece of paper as a plane and a pen as a line. What happens when you push the pen through the paper? It creates a point!
Two lines intersect at a point .
Two planes intersect at a line . Think of a piece of paper laid horizontally on a table and another piece of paper standing on it vertically. What can you draw at the places of intersection? A line!
an official playing field (including end zone) for the indoor football league has a length 45 yd longer than its width. the perimeter of the rectangular field is 174 yd. find the length
Answers
So the length is 45 + w following the formula
2(45 + w) + 2w = 174
90 + 2w + 2w = 174
4w = 84
w= 21
So the length is 45 + w, w= 21
45+ 21 = 66
Hope this helps!
Given the provided conditions, we set up an equation to determine the width and length of the indoor football field. After simplifying the appropriate mathematical expressions, we find that length of the football field is 66 yards.
Explanation:In this problem, we're solving for the length of an indoor football field. We know that the perimeter of a rectangle is given by [tex]2L + 2W[/tex] (twice the length plus twice the width) and the length is said to be 45 yards longer than the width. Therefore, we would describe the length as 'W + 45'
Let's represent the width as W and thus the length as W + 45. Substituting these into our perimeter equation we get [tex]2(W) + 2(W +45) = 174.[/tex] Simplifying gives [tex]4W + 90 = 174[/tex]
Subtracting 90 from both sides gives 4W = 84. Thus, W = 21. Substituting this value back into our equation for the length gives us L = 21 + 45 which equals 66 yards. Therefore, the length of the indoor football field is 66 yards.
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A student decides to run a simulation of rolling an even number with a single die. Use the simulated results from 20 attempts to estimate the probability, then compare your estimation with the theoretical probability.
1 5 3 2 3 6 5 6 3 3 4 4 1 3 6 5 3 2 2 6
Answers
Answer:
Practical probability: 9 / 20 = 45%
Theoretical probability: 3 / 6 = 50%
Step-by-step explanation:
So, we have 20 rolls:
1 5 3 2 3 6 5 6 3 3 4 4 1 3 6 5 3 2 2 6
Out of which we have 9 even numbers: 2 6 6 4 4 6 2 2 6
So, the practical probability is 9 / 20 or 45%
The theoretical probability is:
Possible outcomes (6): 1 2 3 4 5 6
Even numbers possible (3): 2 4 6
P = 3 / 6 = 50%
The practical probability is a bit lower (45%) than the theoretical probability (50%) but that's most probably due to the low number of rolls, it's just one roll away from being on target. With a greater number of rolls, the student would get closer to the theoretical probability.
What is the volume of a sphere with a radius of 1 foot? (Use 3.14 for pi)
Answers
Answer:
V≈4.19ft³
Step-by-step explanation:
The volume of a sphere with a radius of 1 foot is 4.19ft³.
In order to find this:
V=4
3πr3=4
3·π·13≈4.18879ft³
[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\cdot3.14\cdot 1^3\approx4.19\text { ft}^3[/tex]
Deedra has the equations for lines A and B. When she solved for the point where these two lines intersect, she ended up with the equation 3 = 7. What must be true about the two lines?
Answers
we can take a peek at two of those lines hmmm say y = 5x + 3 and y = 5x + 7.
let's notice, those two equations for those lines are in slope-intercept form, so let's solve the system.
since y = y then
5x + 3 = 5x + 7
3 = 7 what the?
well, notice, both lines have the same slope of 5, but different y-intercept, one has it at y = 3 and the other at y = 7, what does that mean?
it means that both lines are parallel to each other, one may well be above the other, but both are parallel, and since a solution to the system is where their graphs intersect, well, parallel lines never touch, so a system with two parallel lines has no solutions.
The two lines are parallel.
We have a girl Deedra who has the equations for lines A and B. When she solved for the point where these two lines intersect, she ended up with the equation 3 = 7.
We have to investigate what it tells about the nature of lines.
What is the slope - intercept form of equation of line?The slope intercept form of an equation of line is -
y = mx + c
Let's assume we have two lines with their equations be -
[tex]y_{1} = m_{1} x_{1} + c\\y_{2} = m_{2} x_{2} + d[/tex]
To find the intersecting points of these two lines, then -
[tex]y_{1} =y_{2} \\x_{1} =x_{2}[/tex]
Therefore -
[tex]m_{1} x_{1} +c =m_{2} x_{2} +d\\[/tex]
Now, in the question she found out that 3 =7 which is same c = d. To fulfill this condition, the slope of these two lines should be equal. Hence, we can conclude that the two lines are parallel.
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At a game show, there are 8 people (including you and your friend) in the
front row.
The host randomly chooses 3 people from the front row to be contestants.
The order in which they are chosen does not matter.
How many ways can you and your friend both be chosen?
Answers
Answer:
6
Step-by-step explanation:
For both to be chosen the other spot can be taken by any of the other 6 people in the row. So six possibilities
Answer:
A. [tex]^6C_1=6[/tex]
Step-by-step explanation:
Given,
The total number of people = 8,
The number of people have to chosen = 3,
Since, me and my friend both have to be chosen,
So, the remaining number of people = 8 - 2 = 6,
And, the number of remaining number of people have to be chosen = 3 - 2 = 1
Also, the order does not matter,
Hence, the total way of choosing = Total combination of me and my friend × total combination of choosing 1 person out of 6 people
[tex]=^2C_2\times ^6C_1[/tex]
[tex]=1\times ^6C_1[/tex]
[tex]=6[/tex]
Option A is correct.
Math help, I'm stuck with my homework and I want to get it done.
if the gragh of y=-4x+7 is perpendicular to the gragh of y=mx+3 then what does m equal
Answers
Answer:
m = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x + 7 is in this form with slope m = - 4
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]
Hence the value of m = [tex]\frac{1}{4}[/tex]
Find the slope the line that contains the points (1,9) and (-5,8). what is the slope formula?
Answers
Answer: 1/6
Step-by-step explanation:
Lets say two points are (a,b) and (c,d)
the slope that cross these two points is: (b-d)/(a-c) or (d-b)/(c-a) → either one is fine, but make sure the one you are subtracting is the one from the same point.
Hope it helped!
Answer:
The slope formula is [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
The slope of (1, 9) and (-5, 8) is 1/6
Step-by-step explanation:
(9 - 8)/( 1 - [-5]) = 1/6
solve for -4x-4=-4(x+2)
Answers
Answer:
no solutions
Step-by-step explanation:
-4x-4=-4(x+2)
Distribute the negative
-4x-4 = -4x-8
Add 4x to each side
-4x+4x-4 = -4x+4x-8
-4 = -8
Since this is not true there are no solutions
The answer for study guide
Answers
Answer:
-2
Step-by-step explanation:
The only domain problems are going to come from the square root you have there. You only want to square root 0 or positive numbers,. In other words, you want x+2 to be greater than 0 or equal to 0.
x+2>=0
x>=-2
So x has to be greater than ot equal to 0
What is the solution to the inequality below?
2- 2x>-20
Answers
Answer:
x<11
Step-by-step explanation:
Subtract by 2 both sides of equation.
2-2x-2>-20-2
Simplify.
-2x>-22
Multiply -1 from both sides of equation.
(-2x)(-1)<(-22)(-1)
Simplify.
2x<22
Divide by 2 from both sides of equation.
2x/2<22/2
Simplify, to find the answer.
22/2=11
x<11 is the correct answer.
To solve the inequality 2 - 2x > -20, we isolate the variable term by adding 2x to both sides, subtracting 2, and then dividing by 2 to find that the solution is x < 11.
To solve the inequality 2 - 2x > -20, we can follow these steps:
Add 2x to both sides of the inequality to isolate the constants: 2 > -20 + 2x.Then subtract 2 from both sides to isolate the variable term on one side: 0 > -22 + 2x or -22 + 2x < 0.Divide both sides by 2, noting that division by a positive number does not change the direction of the inequality: -11 + x < 0 or x < 11.The solution to the inequality is x < 11.
Find the measure of the reference angle for an angle of 152º.
Answers
Answer:
28 deg
Step-by-step explanation:
Reference angle is the smallest angle formed by the terminal ray, x-axis, and origin. So at 180 you are on the x-axis so just for this question you have to do 180-152=28.
The reference angle should be a positive between 0 and 90 degrees.
The Constitution gives Congress the power to create federal courts
lower than the Supreme Court
higher than the Supreme Court
equal to the Supreme Court,
unaffected by the Supreme Court.
Answers
The federal courts that the Constitution gives the Congress the power to create are federal courts: lower than the Supreme Court.
What are Federal Courts?Federal courts can be described as lower courts having limited jurisdiction. This implies that they are only authorized to hear cases that arise under the federal statues in the United States.
The Supreme Court is the highest court. District courts are the lowest federal courts.
Therefore, the federal courts that the Constitution gives the Congress the power to create are federal courts: lower than the Supreme Court.
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The U.S. Constitution allows Congress to establish federal courts lower than the Supreme Court, but not higher, equal to, or unaffected by it. The Supreme Court is the highest court in the U.S. judiciary.
Explanation:The Constitution gives Congress the power to create federal courts that are lower than the Supreme Court. According to Article III, Section 1 of the Constitution, 'The judicial Power of the United States, shall be vested in one supreme Court, and in such inferior Courts as the Congress may from time to time ordain and establish.'
The Constitution does not give Congress the power to create courts that are higher than, equal to, or unaffected by the Supreme Court. The Supreme Court is the highest court in the U.S. judicial system, and all lower courts must follow the legal precedents set by it.
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Which of the following are true about x? Check all that apply. x ∉ A x ∈ B x ∉ C x ∈ A ⋃ B x ∈ A ⋃ C x ∈ A ⋂ B
Answers
Answer:
The true statements are,
x ∈ B
x ∉ C
x ∈ A ⋃ B
x ∈ A ⋂ B
x ∈ A ⋃ C
Step-by-step explanation:
From the figure we can see three sets A, B, C
Check all options
1) x ∉ A
From the figure we get, x is an element of A
x ∉ A is False
2) x ∈ B
From the figure we get, x is an element of B
x ∉ B is True
3) x ∉ C
From the figure we get, x is not an element of C
x ∉ C is True
4). x ∈ A ⋃ B
From the figure we get, x is an element of A ⋃ B
x ∈ A ⋃ B is True
5). x ∈ A ⋃ C
From the figure we get, x is an element of A ⋃ C
x ∈ A ⋃ C is True
6).x ∈ A ⋂ B
From the figure we get, x is an element of A ⋃ B
x ∈ A ⋂ B is True
Answer:
Everything is true expect for the first answer choice .
Step-by-step explanation:
Which quadratic equation is equal to (x+2)^2+5(x+2)-6=0
Answers
Answer:
(x+2)^{2} +5(x+2)-6=0
Let
u=(x+2)
Substitute in the expression
(u)^{2} +5(u)-6=0
therefore
the answer is
(u)^{2} +5(u)-6=0 is equivalent to (x+2)^{2} +5(x+2)-6=0
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PLEASE HELP!!!
Select all that apply.
Describe the transformations.
The yellow rectangle was translated up 3 units and reflected over the y-axis.
The yellow rectangle was translated right 5 units and reflected over the x-axis.
The yellow rectangle was reflected over both axes.
The yellow rectangle was translated right 5 units and up 3 units.
Answers
You are choosing 3 of your 8 trophies and arranging them in a row on a shelf.
In how many different ways can you choose and arrange the trophies?
O A. 56
O B. 40,320
O C. 24
O D. 336
Answers
[tex]{_8C_3}\cdot 3!=\dfrac{8!}{3!5!}\cdot 6=\dfrac{6\cdot 7\cdot 8}{6}\cdot6=336[/tex]
There are 336 ways we can choose and arrange the trophies.
The answer is option D. 336
What are permutation and combination?A permutation is a mathematical way that determines the number of possible arrangements in a set.In a permutation, the elements are arranged in a specific order.A combination is a method that determines the number of possible arrangements in a set. In a combination, the elements of the set can be arranged in any order.
calculation:-
₃C⁸.3! = 8!/3!5!.6 = (6.7.8)/6.6 = 336
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