Answer:
(18x) * (24x)
Step-by-step explanation:
Factor out and show the step by step explanation of the answer for x^2+24x+5
Answer:
x =(24-√596)/2=12-√ 149 = -0.207
x =(24+√596)/2=12+√ 149 = 24.207
Step-by-step explanation:
Factoring x2-24x-5
The first term is, x2 its coefficient is 1 .
The middle term is, -24x its coefficient is -24 .
The last term, "the constant", is -5
Multiply the coefficient of the first term by the constant 1 • -5 = -5
Find two factors of -5 whose sum equals the coefficient of the middle term, which is -24 .
-5 + 1 = -4
-1 + 5 = 4
Two solutions were found :
x =(24-√596)/2=12-√ 149 = -0.207
x =(24+√596)/2=12+√ 149 = 24.207
The two triangles are similar.
What is the value of x?
Enter your answer in the box.
X=
Answer:
Step-by-step explanation:
In similar triangles, the corresponding sides are in same proportion.
[tex]\sf \dfrac{4x}{3x+1}=\dfrac{15}{12}[/tex]
Cross multiply,
4x*12 = 15*(3x + 1)
48x = 15*3x + 15*1
48x = 45x + 15
48x -45x = 15
3x = 15
x = 15/3
x = 5
Use the information provided to answer Part A and Part B for question 11.
Three congruent figures are shown in the coordinate plane.
8
-7
-5
9-3-7 65
A
N
-4
-5
-6
-7
-8
3
11. Part A
Which statement describes a possible sequence of transformations that
transforms figure 1 into figure 2?
A. a reflection across the x-axis, followed by a translation 2 units to the left
B. a reflection across the x-axis, followed by a translation 3 units to the right
C. a rotation 180° clockwise about the origin, followed by a translation
2 units to the left
D. a rotation 180° clockwise about the origin, followed by a translation
3 units to the right
The correct statement about the congruent figures is,
⇒ a reflection across the x-axis, followed by a translation 3 units to the right.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
Three congruent figures are shown in the coordinate plane.
Now, From figure A and figure B,
Figure B is reflection across the x-axis, followed by a translation 3 units to the right across the figure A.
Thus, The correct statement about the congruent figures is,
⇒ a reflection across the x-axis, followed by a translation 3 units to the right.
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what should ne The power of 5 so that ies value becomes 1÷25
Answer:
[tex]5^{-2}[/tex]
Step-by-step explanation:
Primd factorize 25
25 = 5*5 = 5²
[tex]\sf \dfrac{1}{25}=\dfrac{1}{5^{2}} \\\\= 5^{-2}[/tex]
HINT:
[tex]\dfrac{1}{a^{m}}=a^{-m}[/tex]
Here is a prism drawn on an isometric grid how many vertices
Answer:
C-12
Step-by-step explanation:
The definition of a Vertex of a 3D shape is 'Where 3 lines meet to form an angle' which in this case would be 12.
Answer:
it's c12 first do the edge face vertical nameing polygon and then you can get your answers
The surface area of a rectangular-prism-shaped skyscraper is 1,115,000 m2. What is the surface area of a similar model that has a scale factor of 1/800? Round your answer to the nearest tenth.
The surface area of a similar rectangular-prism-shaped skyscraper that has a scale factor of 1/800 would be equal to 1.7 meter.
The surface area of a rectangular prism.Mathematically, the surface area of a rectangular-prism is given by this formula:
A = 2(wl + hl + hw)
Where:
A is the surface area.l is the length.w is the width.h is the height.Given the following data:
Surface area of rectangular prism = 1,115,000 m²
Scale factor = 1/800
The length, height and width of the similar model would be 1/800 the original rectangular-prism-shaped skyscraper.
Substituting the given parameters into the formula, we have;
Surface area = 1,115,000 × 1/800 × 1/800
Surface area = 1.7 meter.
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Without buying points, a monthly mortgage payment will be $1,250. buying 1 point at closing would reduce the payment to $1,236. to the nearest year, how long would it take to break even by buying 1 point, with a $100,000 mortgage? a. 5 years b. 6 years c. 7 years d. 8 years
Without buying points, the time that will be taken to break even will be 6 years.
How to calculate break-even?The monthly mortgage payment will be $1,250. Buying 1 point at closing would reduce the payment to $1,236.
1 point= $1000
The time taken will be:
Monthly savings = 4250/1236 = 14
Time taken = 7
1000/14 = 71.4 months
71.4/12=5.95 years = ~6 years
Thus, The time that will be taken to break even will be 6 years.
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Answer: 6
Step-by-step explanation:
Please help first correct answer gets brainleist and 100 points please I'll answer your questions
Answer:
a) AE and BC are parallel (as shown by the markings)
b) ED and CD are equal in length (as shown by the markings)
c) 3: AE is perpendicular AB, AB is perpendicular to AE/AC, AC is perpendicular to AB
What is the area of parallelogram ABCD?
Will mark brainlyest!!!
Write the polynomial in standard form.
( look at photo )
Answer:
[tex]b^{2} -2b+5[/tex]
Step-by-step explanation:
how do I find the volume of an upright rectangle?
Answer:
v=l×h×w
Step-by-step explanation:
that the furmula
Which equation illustrates the identity property of multiplication? (a bi) × c = (ac bci) (a bi) × 0 = 0 (a bi) × (c di) = (c di) × (a bi) (a bi) × 1 = (a bi)
The equation that illustrates the identity property of multiplication is (a+bi) × 1 = (a+bi).
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The identity property of multiplication states that when a factor is multiplied by 1 the result is the factor itself. Therefore, the equation that illustrates the identity property of multiplication is (a+bi) × 1 = (a+bi).
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Answer:
D
Step-by-step explanation:
duh
Jackie went to the movie theater where he bought drinks and popcorn bags for his group of friends. Each drink was $4 and a bag of popcorn was $6. He spent a total of $108. He bought a total of 22 items combined. Write a system of equations that could be used to determine the number of drinks and popcorn bags that Jackie bought at the movie theatre. Define the variables used.
Answer:
x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.
y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars. When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.
Step-by-step explanation:
The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.
A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its width, w? 2w(2w 5) = 50 2w(w 5) = 50 w(2w 5) = 50 w(w 5) = 50
The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.
Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).
Then the area of the rectangle is given as
Area = l × w
Then we have
w(2w + 5) = 50
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Circle the true statement: 46.8 < 46.08 35.30 > 35.3 17.2 > 17.19
Answer:
17.2 > 17.19 True
Step-by-step explanation:
46.8 < 46.08 Not True, sign should be the other way around
35.30 > 35.3 Not True, they are equal
17.2 > 17.19 True
Answer: 17.2 >17.19 Is true
Step-by-step explanation: First one is greater than, second one is equal to.
Nancy found that x=1 is one solution to the quadratic equation (x 2)2=a. what is the value of a? -9 -3 3 9
The value of the a, in the provided quadratic equation for which Nancy found one solution as x=1 is 9.
What is the solution of equation?The solution of the quadratic equation is the solution of the variable of the equation, for which the equation satisfies.
Nancy found that x=1 is one solution to the quadratic equation. The quadratic equation is,
[tex](x +2)^2=a[/tex]
For this equation, one solution is x=1. Put this value in the above equation to get the value of a,
[tex](1 +2)^2=a\\(3)^2=a\\9=a\\a=9[/tex]
Thus, the value of the a, in the provided quadratic equation for which Nancy found one solution as x=1 is 9.
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Answer:
D. 9
Step-by-step explanation:
x-3 and 2x-1 are factors of 2x^3-px^2-2qx+q. Find the values of p and q.
Answer:
p =1
q = 9
Step-by-step explanation:
f(x) = 2x³ - px² + 2qx + q
(x - 3) is a factor of f(x)
⇒f(3) = 0
2(3)³ - p*3² - 2q*3 +q = 0
2*27 - 9p - 6q + q = 0
54 - 9p - 5q = 0
-9p - 5q = -54 -------------------(I)
(2x - 1) is a factor of f(x)
2x - 1 = 0
2x = 1
[tex]\st x = \dfrac{1}{2}[/tex]
f(1/2) = 0
[tex]2*(\dfrac{1}{2})^{3}-p*(\dfrac{1}{2})^{2}-2q*\dfrac{1}{2}+q=0\\\\2*\dfrac{1}{8}-p*\dfrac{1}{4}-q+q = 0\\\\\dfrac{1}{4}-\dfrac{1}{4}p =0\\\\[Multiply the entire equation by 4]\\\\4*\dfrac{1}{4}-4*\dfrac{1}{4}p=0\\\\[/tex]
1 - p = 0
-p = -1
p = 1
Substitute p =1 in equation (I)
-9*1 - 5q = -54
-9 - 5q = -54
-5q = -54 + 9
-5q = -45
q = -45/(-5)
q = 9
What are the solutions to the equation x2−6x+8=0?
a=91 inches and b=60 inches what is the length of the hypotenuse
Hey there!
Formula: c = √a^2 + b^2
YOUR EQUATION:
c = √(91^2 + 60^2)
c = √(91 * 91 + 60 * 60)
c = √(8,281 + 3,600)
c = √(11,881)
c ≈ 109
Therefore, your answer should be: 109
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Your homeowners policy has a premium of $150, a deductible of $5000, and a limit of $300,000. Your home suffers $500,000 in damages. How much will you pay? How much will your insurance pay?
He will pay $200,000.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Your homeowners policy has a premium of $150, a deductible of $5000, and a limit of $300,000.
And, Your home suffers $500,000 in damages.
Now,
Since, Homeowners policy has a premium of $150, So we can pay the amount = 12 x 150
= $1,800
And, Homeowners policy has a deductible of $5000.
Then, The remain amount = $500,000 - $5,000
= $495,000
Since, The limit of the policy = $300,000
Hence, The remain amount = $495,000 - $300,000
= $195,000
After including the deductible amount we get;
Deductible amount = $195,000 + $5,000
= $200,000
Thus, He will pay $200,000.
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I will give 5 star on YOUR acc and comment will also give you a thank
Solve with picture PLEASE show all work
Answer:
40 in.^2
Step-by-step explanation:
Let's name the 2 shaded triangles: The left one is T1 and the right one is T2.
The area of a right triangle can be found using the equation (a*b)/2.
The 2 legs of T1 are 8 in. and 6 in. (from 10 - 4)
Area of T1 = [tex]\frac{8 * 6}{2}[/tex] = 24 in.^2
The 2 legs of T2 are 8 in. and 4 in.
Area of T2 = [tex]\frac{8 * 4}{2}[/tex] = 16 in.^2
Area of shaded region = 16 + 24 = 40 in.^2
need help with this question
Answer:
f'(0)= -2/5
Step-by-step explanation:
In ΔABC, AB=24.9, AC=15.8, and BC=24.4. What is m∠A?
Answer:
approximately 71.50215
Step-by-step explanation:
Which simplified ratio correctly compares 12 yards to 20 feet?
Answer:
3:5
Step-by-step explanation:
Divide both numbers by 2
Keep dividing by 2 until you can't anymore.
12/2=6
20/2=10
6/2=3
10/2=5
please teach me how to do this
Answer:
7.2
Step-by-step explanation:
We know that the radius is always the same throughout the entire circle. That is, any line going from the center of the circle to the edges = radius. In this problem, radius = 20.9 and so does the other 4 lines going from the center of the circle to the edge.
Since there is a right angle, we know that both triangles are right triangles where hypotenuse, c = 20.9 and b = 19.6. To solve for x, use pythagorean theorem:
a² + b² = c²
x² + 19.6² = 20.9²
x² + 384.16 = 436.81
x = √(436.81 - 384.16)
x = √52.65
x ≈ 7.256
Hope this helps!
What are prime numbers used for?
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.
the variable x represents a value in the set {4,6,7,8}. which value of x makes 2(x-4)+3=7
Answer:
The value of x is 6
Step-by-step explanation:
Solving for x :
=> 2(x-4)+3=7
=> 2x-8+3 = 7
=> 2x-5 = 7
=> 2x = 7+5
=> 2x = 12
=> x = 12/2
=> x = 6
The table below represents which equation?
х
0
2.
-1
1
1
-5
2
-8
у
-2
A
y = -x
B
y = 3x + 6
y=-3x - 2
D
y = x + 2
Answer:
C
Step-by-step explanation:
The slope of the equation is
1- (-2)/-1-0 = 3/-1 = -3
the slope of y= -3x-2 is -3
50- select C
{ find the slope of the equation }
Does (3, 10) make the inequality y<2x + 4 true?
Answer:
no,
Step-by-step explanation:
because 3, and 10 are not even when multiplied in the equasion.
Answer:
That statement is true, if you set y to 3 and x to 10 in this problem.
[tex]y(3+1) = 4\\2 * x(10 + 4) = 24[/tex]