What side lengths should be used to model a rectangle with an area of x2 3x – 10 square units? x – 5 and x 2 x – 2 and x 5 x and x 3 x 3 and x – 10
Answers
The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The area of the rectangle is x² + 3x – 10.
On factorization, we have
x² + 3x – 10
x² + 5x –2x – 10
x (x + 5) –2 (x + 5)
(x + 5) (x – 2)
We know that the area of a rectangle is given as
Area = Length × Width
x² + 3x – 10 = (x + 5)(x – 2)
On comparing, we have
The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
see picture
Step-by-step explanation:
Related Questions
3 A scientist takes four random samples of a population of 700 trees. Each sample is
the same size. The first sample indicates that 30% of the trees are oak, while the
second sample indicates that only 15% of the trees are oak. The third sample
indicates that 26% of the trees are oak. The fourth sample indicates that 29% of
the trees are oak. Based on the data, about how many of the 700 trees are oak?
Answers
Using proportions, it is found that about 175 trees are oak.
What is a proportion?A proportion is a fraction of a total amount.
For the four samples, the proportions are: {0.3, 0.15, 0.26, 0.29}.
Hence, the mean proportion is given by:
M = (0.3 + 0.15 + 0.26 + 0.29)/4 = 0.25
Out of 700 trees:
700 x 0.25 = 175.
About 175 trees are oak.
More can be learned about proportions at https://brainly.com/question/24372153
If 1 serving of stir fry uses 3/5 cup of rice , how many cups are in 12 servings
Answers
Answer:
36/5 cups of rice.
Step-by-step explanation:
12x3/5 is the equation. 36/5 is the answer, which is 7 1/5 or 36/5
what is [7a-21a+10b]*[2a+5b]
Answers
Answer:
-28a2 - 50ab + 50b2
Step-by-step explanation:
[7a-21a+10b]*[2a+5b]
[-14 + 10b]*[2a+5b]
Hope it helps!!!!!!!!!brainliest pls!!!!!!!!!Greatest common factor of 42,60
Answers
HELP MEEEEE IM DESPERATE 30 POINTS!!!!!!
find x
Answers
Answer:
D
Step-by-step explanation:
the measure of a secant- tangent angle is half the difference of the intercepted arcs, then
[tex]\frac{1}{2}[/tex] (154 - (12x + 2) ) = 6x + 4 ( multiply both sides by 2 to clear the fraction )
154 - 12x - 2 = 12x + 8 , that is
152 - 12x = 12x + 8 ( subtract 12x from both sides )
152 - 24x = 8 ( subtract 152 from both sides )
- 24x = - 144 ( divide both sides by - 24 )
x = 6
Can someone help me solve this Function Notation.
Answers
Answer:
1
Step-by-step explanation:
What ever is in the parenthesis needs to be substituted into the equation
So,
3(-2) + 7 =
-6 + 7
1
f(-2) = 1
Answer:
f(-2) = 1
Step-by-step explanation:
1. Replace x with -2
f(-2) = 3(-2) + 7
2. Multiply 3 by -2
f(-2) = -6 +7
3. Add -6 and 7
-6 + 7 = 1
f(-2) = 1
someone help me please
Answers
The coordinate plane
ANYONE GOOD AT MATH!!!! HELP WITH 3 QUESTIONS
Answers
Answer: a) I believe it is 2 out of 8
b) 6 out of 8
c) 50/50 chance
d) 3 out of 8
Not 100% sure so please double-check.
Step-by-step explanation:
The pinwheel has a total of 8 places. There are only 2 purple squares, there are 4 evens and 4 odds, and there are 3 numbers less than 4, (1,2,3).
Juan is clearing land in the shape of a circle to plant a new tree. The diameter of the space he needs to clear is 52 inches. By midday, he has cleared a sector of the land cut off by a central angle of 140 . What is the arc length and the area of land he has cleared by midday?
Answers
The central angle of 140 degrees illustrates the degree measure of the arc
The arc length cleared is 63.54 inches and the area of the land cleared is 826.00 square inches
How to determine the arc lengthThe given parameters are:
Central angle = 140 degrees
Diameter = 52 inches
The length of the arc is then calculated s:
[tex]L = \frac{\theta}{360} * \pi d[/tex]
Substitute known values in the equation
[tex]L = \frac{140}{360} * 3.142 * 52[/tex]
Evaluate the products
[tex]L = \frac{22873.76}{360}[/tex]
Evaluate the quotient
[tex]L = 63.54[/tex]
Hence, the arc length cleared is 63.54 inches
How to determine the area of the land clearedThe area is calculated s:
[tex]A = \frac{\theta}{360} * \pi (d/2)^2[/tex]
Substitute known values in the equation
[tex]A = \frac{140}{360} * 3.142 * (52/2)^2[/tex]
Evaluate the products
[tex]A = \frac{297358.88}{360}[/tex]
Evaluate the quotient
[tex]A = 826.00[/tex]
Hence, the area of the land cleared is 826.00 square inches
Read more about arc lengths at:
https://brainly.com/question/2005046
Answer:
64 and 826
Step-by-step explanation:
The land Juan has cleared by midday has an arc length of about 64 inches and an area of about 826 square inches.
Round 83,461 to the nearest thousand.
Answers
Answer:
See below.
Step-by-step explanation:
83,461
/\
This is the thousand place.
5 and above is rounded up, 4 and below is rounded down.
83,000 is the answer.
-hope it helps
The distance between AB is 24 units, Endpoint A is (-5.8) and B(1,y) is A?
Determine the y coordinates of B.
Answers
Answer:
y=2.89
explanation
square root of 24=square root of (6)^2+(y-8)^2
4.89=6+y-8
4.89-2=y
2.89=y
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.
Let 'x' represent the number of yards of silk and 'y' represent the number of yards of cotton.
Here is a system of equations that represent the constraints in the situation.
x+y=4.25
16.90x+4y=36.35
Find the solution to the system of equations. You may use any method you want, but you must explain your reasoning and methods fully.
Answers
Answer:
Step-by-step explanation:
The yards of silk bought is 1.49 yards and the yard of cotton bought is 2.76 yards.
The two equations are known as simultaneous equation. They would be solved using elimination method.
x + y = 4.25 equation 1
16.90x + 4y = 36.25 equation 2
where:
x = yards of silk bought
y = yards of cotton bought
In order to determine the value of x, multiply equation 1 by 4.
4x + 4y = 17 equation 3
Subtract equation 3 from 2
19.25 = 12.90x
Divide both sides of the equation by 12.90
x = 1.49 yards
In order to determine the value of y, substitute for x in equation 1
1.49 + y = 4.25
y = 4.25 - 1.49
y = 2.76 yards
Answer:
Step-by-step explanation:
The yards of silk bought is 1.49 yards and the yard of cotton bought is 2.76 yards.
The two equations are known as simultaneous equation. They would be solved using elimination method.
x + y = 4.25 equation 1
16.90x + 4y = 36.25 equation 2
where:
x = yards of silk bought
y = yards of cotton bought
In order to determine the value of x, multiply equation 1 by 4.
4x + 4y = 17 equation 3
Subtract equation 3 from 2
19.25 = 12.90x
Divide both sides of the equation by 12.90
x = 1.49 yards
find the equation of the line that passes through the point (3,5) and is parallel to the equation of the line y=2×-5
Answers
Answer:
y=2x-1
Step-by-step explanation:
Since it is parallel to y=2x-5, they have the same slope of 2.
Now you're going to plug the point and slope into the following equation: y-(y value of point) = slope ×(x-(x value of point))
y-5= 2 (x-3)
Now you simplify:
y-5=2x -6
y=2x-1
I need to find the answer for 21.60÷1.35
Answers
Answer: 16
Step-by-step explanation: 21.60 / 1.35 = 16
The result of the division 21.60÷1.35 is: 16.
To find the answer for 21.60 ÷ 1.35, you can perform the division operation:
21.60 ÷ 1.35
Divide 21.60 by 1.35:
21.60 ÷ 1.35 ≈ 16
The result of 21.60 ÷ 1.35 is approximately 16.
When dividing decimals, it's essential to align the decimal points and then perform the division as you would with whole numbers.
In this case, dividing 21.60 by 1.35 gives us an approximate quotient of 16.
Hence, The result of the division 21.60÷1.35 is: 16.
To learn more on division click:
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Mr. Ingle purchased a Prius for $42,500. If the car depreciates at a rate of 10%, what is
the value of the car after 7 years?
Answers
Based on the cost of Mr. Ingle's car and the depreciation rate, the value after 7 years will be $20,327.62.
What would be the value after 7 years?This can be found by the formula:
= Cost of car x ( 1 - depreciation rate) ^ number of years given
Solving gives:
= 42,500 x (1 - 10%)⁷
= 42,500 x 0.4782969
= $20,327.62
Find out more on depreciation at https://brainly.com/question/25297296.
What is the general shape of the data? skewed symmetric constant many peaks and valleys
Answers
Answer:
Skewed is the correct answer!
Step-by-step explanation:
~Hope this helps! :)
A graph is a way to represent a lot of data in a visual format. The shape of this graph is best described as skewed.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
here, we have,
A.) A symmetric graph is a graph in which the left half of the graph looks like the mirror image of the right half of the graph. Since the graph has no symmetry it is not a symmetric graph.
B.) Skewness is a distortion or asymmetry in a set of data that deviates from the symmetrical bell curve, or normal distribution. The curve is said to be skewed if it is displaced to the left or right. As we can see that the shape of the graph is the left tilted bell shape.
C.) A constant graph is a graph in which the value of each bar lies on the same horizontal value. Since the shape of the graph is not a horizontal line, it is not a constant shape graph.
D.) When a graph has Peak and Valleys in a graph, the values of the graph are different from each other, therefore, forming peaks and valleys in a graph, which looks like a spline. Since the value of the graph is decreasing towards the right side of the graph. Therefore, the graph of the shape is not of a peak and valley.
Thus, the shape of this graph is best described as skewed.
Learn more about Graph:
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PLS HELP FAST
A plane in which the coordinates of a point are its distances from two intersecting perpendicular lines called axes.
Which term is defined in the above statement?
Question 6 options:
Air Plane
Coordinate Plane
Quadrant
Ordered Pair
Answers
Answer:
Coordinate plain
Step-by-step explanation:
airplane... i think you know what that is, and quadrant is the squares sectored off by a coordinate plane.
14. Danny works part-time at Tom's Toy Store. He
worked 84 hours in May and June. Danny worked
one-third as many hours in May as in June.
How many hours did he work in each month?
Answers
Answer:
21 hours in May, 63 hours in JuneStep-by-step explanation:
Set up equationsm - May, j - Junem + j = 84m = 1/3jSolve by substitution, fin the value of j1/3j + j = 844/3j = 84j = 84*3/4j = 63Find mm + 63 = 84m = 84 - 63m = 21May be y and June be x
x+y=84y=1/3xNow
Put y from (2) in eq(1)
x+1/3x=843x+x)3=844x/3=844x=3(84)x=3(21)x=63Find y
y=1/3(63)y=21Classify each pair of numbered angles.
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Answers
Answer:
1 and 2 are vertical
3 and 4 adjacent
I need help please I’ll give u a brainliest
Answers
Answer:
k=4
Step-by-step explanation:
Hope this helps!
HELP WILL GIVE BRAINLEST QUICKKK SP and SR are tangent to circle Q. If SP = 10x - 18 and SR = 2x + 6, find x.
A. 2
B. -1
C. 3
D. -3
Answers
Answer:
C.3
Step-by-step explanation:
SP and SR are tangent to circle Q.
-> SP = SR
-> 10x - 18 = 2x + 6
-> 10x - 2x = 18 + 6
-> 8x = 24
-> x = 24/8
-> x = 3
Answer:
C. 3
Step-by-step explanation:
Rectangle ABCD is rotated by 90 degrees
clockwise about the origin and then translated
2 units left and 3 units down to form A'B'C'D'.
What is the length, in units, of line segment A'B'
if AB was 4 units?
Answers
Rotation involves moving the rectangle ABCD around a fixed point
The length of side A'B' is 4 units, if AB was 4 units
How to determine the length of A'B'From the question, we have the following transformations
RotationTranslationBoth transformations are rigid transformations, and they do not change the length of the shape
Hence, the length of side A'B' is 4 units, if AB was 4 units
Read more about transformation at:
https://brainly.com/question/4289712
A dress is marked 30% off. The original price was $80. How much is saved?
Answers
Multiply the original price by the percentage off:
80 x 0.30 = 24.00
they saved $24.00
The area of the rectangle above is____square units.
Answers
Answer:
66 units²
Step-by-step explanation:
Area of Rectangle = [tex]l * w[/tex]. We're given the length as 11 units and the width as 6 units.
[tex]11*6[/tex] [tex]66[/tex]Therefore, the answer is 66 units².
125 g of yoghurt provides 4.5 g of protein. How many grams of protein does 100 g of yoghurt provide
Answers
Answer:
3.6g
Step-by-step explanation:
the protein thats in 125g of yoghurt is 4.5g
the protein thats in 1g of yoghurt is 4.5/125
the protein thats in 100g of yoghurt is
4.5/125 x 100
0.036 x 100
3.6g
Please help me I keep getting the last row wrong.
Answers
Answer:
B = 48°
b = 29.7
c = 39.1
Step-by-step explanation:
You have made a Mistake which is C = 102° Not 120°
So, Lets begin with the Problem
Since the Sum of Interior Angles of the Triangle = 180 °
Then A+B+C=180
Then 30+B+102=180
Then B+132=180
Subtract 132 from Both sides
B = 180 - 132 = 48°
Applying Law of Sines
[tex]\frac{a}{sinA} =\frac{b}{sinB}=\frac{c}{sinC}[/tex]
by substituting
[tex]\frac{20}{sin30} =\frac{b}{sin48}=\frac{c}{sin102}[/tex]
Then [tex]b=\frac{20sin48}{sin30} =29.7[/tex]
Then [tex]c=\frac{20sin102}{sin30} =39.1[/tex]
7 added to the product of 14 and f
Answers
“Product” means multiplication, so we can assume 14 and f are being multiplied (14f.) Add that to 7, and you have an expression! Have a great day.
What is 80% of 150? Please help
Answers
Help me solve this please
Answers
Answer:
x=-3 im pretty sure
Step-by-step explanation:
so if y=4 and 4 is something plus 7, 7+-3=4 so im abut 98% its -3
If you add 7 to -3, you result in y, or 4.
A large box of biscuit mix costs $6.48. The box contains 72 servings of biscuit mix. One serving is equal to ¼ cup of biscuit mix. This table shows the amount of mix and water needed to make different numbers of biscuits.
Part A
What is the total number of cups of biscuit mix in one box? Show your work or explain your answer.
Part B
What is the total number of biscuits that can be made using one box of the biscuit mix? Show your work or explain your answer.
Part C
What is the cost, in dollars and/or cents, per biscuit? Show your work or explain your answer.
A large box of biscuit mix costs $6.48. The box contains 72 servings of biscuit mix. One serving is equal to ¼ cup of biscuit mix. This table shows the amount of mix and water needed to make different numbers of biscuits.
Answers
Answer:
Part A: 18 cups
Part B: 56 biscuits
Part C: $0.16
Step-by-step explanation:
Part A
72 * 1/4 = 18
Part B
18 total cups/ 2 cups/biscuit = 9 cups able to be used (dk how else to explain it)
6 * 9 = 56 biscuits
Part C
$6.48/56 = $0.16