Complete the area model to identify the factored form of the quadratic expression it represents. A) (x + 2)(x + 5) B) (x − 2)(x + 5) C) (x + 2)(x − 5) D) (x − 2)(x − 5)
The correct answer is D (x - 5)(x - 2)
You can tell this because in the picture, we are looking for all of the cross sections to multiply to their appropriate boxes. In the bottom right corner, we see the number 10. This means that the bottom number and the right number must multiply to 10. This only happens in A and D, whereas in B and C those equal -10.
To determine between A and D, you must find the ones that have negatives, since the two x values are both negatives. D is the only one with negative numbers out of the ones we are left working with. Therefore, D is the correct answer.
Answer:
its C i just did that question
Step-by-step explanation:
Geometry question, will give brainiest
8.Find the value of c that makes the expression be a perfect square trinomial p^2-30p+c
9.Use quadratic formula to solve. 4x^2+7x-15=0
10.Find the number of real number solutions using the discrimination. x^2+4x-32=0
Please help these are my final questions and I need help with them
How to find the third side of a triangle if two sides are known?
Final answer:
To find the third side of a triangle when two sides are known, you can use the Triangle Inequality Theorem or the Law of Cosines.
Explanation:
To find the third side of a triangle when two sides are known, you can use the Triangle Inequality Theorem or the Law of Cosines.
Triangle Inequality Theorem:
Take the two known sides of the triangle.
Add the lengths of the two sides together.
Subtract the sum from the total perimeter of the triangle.
Law of Cosines:
Label the two known sides as 'a' and 'b', and the angle between them as 'C'.
Use the formula c² = a² + b² - 2abcos(C) to find the square of the third side.
Take the square root of the result to find the length of the third side.
Anna and Ryelin together have 895 songs downloaded. Ryelin has 177 more songs downloaded than Anna. How many songs do each of them have?
What is the solution to the equation 1/square root of 8 = 4^(m + 2)?
m = −15/4
m = −11/4
m = 5/4
m = 9/4
HELPP ILL GIVE MAD POINTS!!
Which series has a sum of 5?
Answer:
C
Step-by-step explanation:
The formula is S=a1/1-r
The series third has a sum of 5 option (C) is correct because the sequence represents the sum of the infinite terms.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a series shown in the picture.
The geometric sequence is shown in the options.
As we know, in the geometric sequence there is a first term and common difference
In the first sequence:
First term a = 2
Common difference = 2(0.1)/2
Common difference d = 0.1
The sum of the infinite series is:
S = a/(1 - r)
S = 2/(1 - 0.1)
S = 2.22
In the second sequence:
First term a = 15
Common difference = 15(0.3)/15
Common difference d = 0.3
The sum of the infinite series is:
S = a/(1 - r)
S = 15/(1 - 0.3)
S = 21.42
In the third sequence:
First term a = 4
Common difference = 4(0.2)/4
Common difference d = 0.2
The sum of the infinite series is:
S = a/(1 - r)
S = 4/(1 - 0.2)
S = 5
Thus, the series third has a sum of 5 option (C) is correct because the sequence represents the sum of the infinite terms.
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2/5x = -3/15 + 1/x
x=0
x=15
x=5
x=3
Answer:
x = 3
Step-by-step explanation:
[tex]\dfrac{2}{5x}=-\dfrac{3}{15}+\dfrac{1}{x}\\\\\dfrac{1}{5}=\dfrac{5-2}{5x}\qquad\text{add $\frac{3}{15}-\frac{2}{5x}$}\\\\x=3\qquad\text{multiply by 5x}[/tex]
14) Jillian has $50 that she plans on investing in an account that will double her money every week. This can be represented by the equation M = 50(2)x where M represents the amount of money she has and x represents the number of weeks that have passed. Her uncle Charlie gives her a gift of $400 so she decides to start her investement with that money plus the $50 she already had. What should be changed in the equation M = 50(2)x to represent the new situation?
What is the equation of the line whose y-intercept is 3 and slope is 1?
y=x-3
y=x+3
y=3x+1
An old adage states that "You can't fit a square peg in a round hole." Actually, you can, it just won't fill the hole. If a hole is 4 inches in diameter, what is the approximate width of the largest square peg that fits in the round hole?
If you divided 26 objects into sets of 6, how many sets of 6 could you make, and how many are left over?
The outer edge of the dime is about 55mm. What is the approximate length of the radius?
Which pair of points forms a vertical line segment that is 4 units long?
what is the product? -9x(5-2x) 18x2 -45x -18x2-45x -18x-45 18-45x
Answer: A.
Step-by-step explanation:
The product of equation is 18x² - 45x.
What is linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given equation -9x(5 - 2x)
product = -9x(5) - (-9x)(2x)
= -45x + 18x²
= 18x² - 45x
Hence the product is 18x² - 45x.
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Using the sample results, estimate the proportion of the entire population that would like to take a cruise to Bermuda.
The figure below shows a shaded circular region inside a larger circle:
Will insert pic below
What is the probability that a point chosen inside the larger circle is not in the shaded region?
24%
36%
50%
64%
Answer:
the answer is 64%
Step-by-step explanation:
The figure below is the two-dimensional net of a rectangular prism. What is the surface area of the prism it can be folded to form.
(Please see attached picture)
8 square units
20 square units
24 square units
28 square units
I NEED ANSWER ASAP!!! TEST DUE IN 30 MINUTES!!
What is the volume of the composite figure?
1,024 cm^3
896 cm^3
832 cm^3
64 cm^3
Answer:
896 cm^3
Step-by-step explanation:
formula for the triangle prism is
V= 1/3 Bh
V = 1/3 (8 x 3) (8) The base is 8 seen the base of the rectangel prism is 8 to its consider as base to.
V= 1/3 (24 x 8)
V= 1/3 (192)
V = 64
Now we need to find the volume so the rectangle formula is
V= lwh
V= (13x 8) (8)
V= 832cm
Add your two answers and u get
832 + 64 = 896 cm^3
The solution is : 896 cm^3 is the volume of the composite figure.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
Volume formula for the triangle prism is
V= 1/3 Bh
V = 1/3 (8 x 3) (8)
The base is 8 seen the base of the rectangle prism is 8 to its consider as base to.
V= 1/3 (24 x 8)
V= 1/3 (192)
V = 64
Now we need to find the volume so the rectangle formula is
V= lwh
V= (13x 8) (8)
V= 832cm
Add your two answers and u get
832 + 64 = 896 cm^3
Hence, The solution is : 896 cm^3 is the volume of the composite figure.
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If sinA/sinB=p,cosA/cosB=q,find tanA and tanB
Jenny has a rope that is 7 1/2 She wants to cut it into pieces that are 3/4of a foot long.
How many pieces of rope will Jenny get?
5 5/8
8
10
1/10
Jenny will get 5 pieces of rope.
What is the ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
To find out how many pieces of rope Jenny will get, we need to divide the total length of the rope by the length of each piece:
Total length of the rope = 7 1/2 = 15/2
Length of each piece = 3/4
Number of pieces = (15/2) ÷ (3/4)
We can simplify this expression by dividing the numerator and denominator of the left-hand side by 2:
Number of pieces = (15/2) × (4/3)
Number of pieces = 30/6
Number of pieces = 5
Therefore, Jenny will get 5 pieces of rope.
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How do you complete the square of x^2-14x+33=0?
Final answer:
To complete the square for the equation x^2-14x+33=0, the constant 33 is moved to the other side, and the number needed to make the left side a perfect square trinomial, 49, is added to both sides, resulting in factoring and solving (x - 7)^2 = 16 to find x = 11 and x = 3.
Explanation:
To complete the square for the equation x^2-14x+33=0, you need to form a perfect square trinomial on the left side of the equation. First, you'll move the constant term to the right side:
x^2 - 14x = -33
Next, find the value that completes the square for the x-terms. This value is obtained by taking half of the coefficient of x (which is -14 in this case) and squaring it, giving us (-7)^2 = 49.
Add 49 to both sides of the equation:
x^2 - 14x + 49 = -33 + 49
x^2 - 14x + 49 = 16
Now, the left side of the equation is a perfect square trinomial, and can be factored into:
(x - 7)^2 = 16
To solve for x, take the square root of both sides:
x - 7 = [tex]\sqrt{16}[/tex]
x - 7 = +- 4
Finally, solve for x by adding 7 to both sides:
x = 7 +- 4
x = 11 or x = 3
A counterexample for the expression sin(x)+cos(x)=1 is 45°
True or False?
Answer:
true
Step-by-step explanation:
In ΔABC, ∡A is a right angle, and m∡B = 45°. What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
Answer:
The length of BC is 11√2 ft.
Step-by-step explanation:
Given,
A right angled triangle ABC,
In which,
AC = 11 ft ( By diagram ),
∠A = 90°,
∠B = 45°,
By the law of sine,
[tex]\frac{sin B}{AC}=\frac{sin A}{BC}[/tex]
[tex]\implies BC\times sin B = AC\times sin A[/tex] ( By cross multiplication )
[tex]\implies BC = \frac{AC\times sin A}{sin B}[/tex]
By substituting the values,
[tex]BC=\frac{11\times sin 90^{\circ}}{sin 45^{\circ}}[/tex]
[tex]=\frac{11}{\frac{1}{\sqrt{2}}}[/tex]
[tex]=11\sqrt{2}[/tex]
Hence, the length of BC is 11√2 ft.
Use 3.14 for pi. Round your answer to the nearest hundredth.
The calculated area of the shape is 50.24 square units
Finding the area of the shape.
From the question, we have the following parameters that can be used in our computation:
The shape
The area of the shape is calculated as
Area = 1/4πr²
Where
Radius, r = 8
Substitute the known values into the equation
Area = 1/4π * 8²
Evaluate
Area = 16π
So, we have
Area = 16 * 3.14
Evaluate
Area = 50.24
Hence, the area of the shape is 50.24 square units
Question
Find the area of the shape.
Use 3.14 for pi. Round your answer to the nearest hundredth.
A football is selling for $35 off the original price. The original price was $60. What is the sale price of the football?
PLEASE HELP !! URGENT!! ILL MARK THE BRAINLIEST FOR THE CORRECT ANSWER
add or subtract
\frac{x}{x^2-36} -\frac{6}{x^2-36}
Answer:
x + 6; where x ≠ -6, +6
Step-by-step explanation:
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Hello!
I believe the answer is A) p(x) = 13x -20.
I hope it helps!
A metal washer is made by cutting out a circle 13.2 mm in diameter from a larger circle. To the nearest tenth, what is the area of the washer?
547.1 mm2
972.6 mm2
60.8 mm2
243.3 mm2
Answer: [tex]243.3\ mm^2[/tex]
Step-by-step explanation:
Given: The diameter of smaller circle = 13.2 mm
Then the radius of smaller circle r =[tex]\frac{13.2}{2}=6.6\ mm[/tex]
Also, the radius of larger circle R= [tex]6.6+4.4=11.0\ mm[/tex]
Now, the area of the washer is given by :-
[tex]\text{Area of washer=Area of larger circle-Area of smaller circle}\\\\\Rightarrow\\text{Area of washer}=\pi R^2-\p r^2\\\\\Rightarrow\\text{Area of washer}=\pi(R^2-r^2)\\\\\Rightarrow\\text{Area of washer}=(3.14159265359)((11.0)^2-(6.6)^2)\\\\\Rightarrow\\text{Area of washer}=243.284935094\approx243.3\ mm^2[/tex]
The area of the washer is 0 mm2.
Explanation:To find the area of the washer, we first need to find the area of the larger circle and the area of the smaller circle. The formula for the area of a circle is A = πr^2.
The larger circle has a diameter of 13.2 mm, so the radius is half of that, which is 6.6 mm. Plugging this value into the formula, the area of the larger circle is approximately 136.78 mm2.
The smaller circle has a diameter of 13.2 mm, so the radius is again 6.6 mm. Using the same formula, the area of the smaller circle is also approximately 136.78 mm2.
To find the area of the washer, we subtract the area of the smaller circle from the area of the larger circle: 136.78 mm2 - 136.78 mm2 = 0 mm2. Rounded to the nearest tenth, the area of the washer is 0 mm2.
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The population of a major U.S. city is 8,550,405. The land area of the city is 1213.4 square kilometers. What is the best approximate population density of the city? 7047 peoplekm2 7124 peoplekm2 7167 peoplekm2 7500 peoplekm2
The population of a major U.S. city = 8,550,405
Area of the city = 1213.4 sq.km
Density = [tex] \frac{Population}{area} [/tex]
Density = [tex] \frac{8,550,405}{1213.4} [/tex]
Density = 7046.6499 [tex] \frac{People}{km^{2}} [/tex]
As the density here will not be in decimal so after rounding the density in whole number,
Density = 7047 [tex] \frac{People}{km^{2}} [/tex]
Option A is the answer