The factors of the given expression [tex]144-49x^{2}[/tex] will be [tex](7x+12)(7x-12)[/tex]
What will be the factors of the given equation?It is given that
[tex]144-49x^{2}[/tex]
Now by simplifying it
[tex](12)^{2} -(7x)^{2}[/tex]
Now from the formula, we know
[tex]a^{2} -b^{2} = (a+b)(a-b)[/tex]
So it will become
[tex](12)^{2} -(7x)^{2}= (12-7x)(12+7x)[/tex]
Thus the factors of the given expression [tex]144-49x^{2}[/tex] will be (7x+12)(7x-12)
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Please help
And extra points !
Look at the picture above and the picture also asks How many seconds did it take the paper airplane to reach the ground ?
Please write at least 2 sentences explaining thank you!
Answer:
It would take the plane 3 seconds to reach the ground. Yhis is because after three seconds y=3.
on a number line, the length of GD is 18. If the coordinate of the midpoint A of GD is 0, what are the coordinates of the points G and D?
Answer:
coordinates of : G = -9 , D = 9
Question 7
Find the distance between -2.5 and 1.8. (Draw a number line if necessary
to solve)
Answer:
-0.35
Step-by-step explanation:
(2.5+1.8)÷2 then minus from 1.8
4.3÷2=2.15
1.8-2.15= -0.35
0.97 in word formation
Answer:
97 hundreths or 97 cents
Step-by-step explanation:
Answer:
97 hundredths.
Step-by-step explanation:
9 is in the tenths place, but that means .9 is also 9 hundredths. With the 7 in the hundredths place, .97 is 97 hundredths.
Hope this helps...have a great day! :3
A, B & C form the vertices of a triangle.
∠ CAB = 90°,
∠ ABC = 51° and AB = 8.6.
Calculate the length of BC rounded to 3 SF.
Answer:
BC ≈ 13.7
Step-by-step explanation:
using the cosine ratio in the right triangle
cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{8.6}{BC}[/tex] ( multiply both sides by BC )
BC × cos51° = 8.6 ( divide both sides by cos51° )
BC = [tex]\frac{8.6}{cos51}[/tex] ≈ 13.7 ( to 3 sf )
Each piece of fruit weighs 3/5 pounds
Write how many pieces of fruit you need so the total weight, in pounds is within the giving range
Between 1 and 1 1/2 pounds. (___)
Between 2 and 2 1/2 pounds. (__)
Answer:
Between 1 and 1 1/2 pounds. (_8__)
Between 2 and 2 1/2 pounds. (_1_)
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
how many numbers are between 1 and 212
Answer:
210 (numbers between )
Step-by-step explanation:
What’s the answer to them and can u show work as well
3. 5
Constant terms are terms with no variables attached to them, and will not change under any circumstances. A variable is typically denoted by a Latin Alphabet.
4. 4
The coefficient is the whole number found in front of the variable, typically being multiplied to it. In this case, you are solving for the coefficient that is found in front of g², which is 4.
5. -3c
The coefficient -3 is found at the 3rd term of the expression.
6. -12x & -17x ; 15y & 16y
Like terms are terms with the same variable as well as the same amount of variables. For example x² is not a like term of x, though both variables have x to signify them.
7. 3c
Unlike terms are terms that do not share at least one partner of the same amount of variables. c is a variable by itself with no other terms containing it, and so is your answer.
~
Write the equation of the line that passes through the points (4,-1) and (4,8). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
x = 4
Step-by-step explanation:
Given the points (4, - 1) and (4, 8)
Note the x- coordinates are 4 in both cases.
This indicates the line passing through the points is vertical with equation
x = c
where c is the value of the x- coordinates the line passes through. In this case 4, thus
x = 4 ← equation of vertical line
help pleaseeeeeeeeeeee
Answer:
3x + 7
Step-by-step explanation:
let the number be x then multiply it by 3 is 3x , then add 7 is
3x + 7
Answer:
3x + 7
Step-by-step explanation:
3 multiply x then add 7
3x + 7
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
Answer, B
I looked up this question and i couldnt find the correct one, so here you go
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, what percentage of people have an IQ score between 70 and 130?
70 = 100 - 2•15 is 2 s.d.'s below the mean.
130 = 100 + 2•15 is 2 s.d.'s above the mean.
By the empirical rule,
Pr [70 ≤ X ≤ 130] = Pr [-2 ≤ Z ≤ 2] ≈ 95%
(where Z is normally distributed with mean 0 and s.d. 1)
PLS HELP WILL MARK BRAINLIEST
Martin incorrectly claims that there are only parallel line segments found in the blinds. Give an example of perpendicular line segments found in the blinds.
Answer:
see attached
Step-by-step explanation:
Any of the vertical lines is perpendicular to any of the horizontal lines.
The open/close/adjust handle is perpendicular to the blind slats and the blind frame.
The threads that hold the slats, and the string that raises/lowers them are also perpendicular to the slats.
The diameter of a cylinder is 5 yd. The height is 4 yd. What is the volume of the cylinder
Answer:
25 pi square yd OR rounded pi to 3.14: 78.5 square yd
Step-by-step explanation:
Use the formula volume of cylinder = base area × h to determine the value of the base area.
Diameter: 5 yd
Height: 4 yd
(5/2)^2 Pi x 4 = 25 pi square yd.
Answer:
78.5 yd
Step-by-step explanation:
= [tex]\pi[/tex]r²h
= (3.14)(2.5)²(4)
= (3.14)(6.25)(4)
= 19.625 x 4
= 78.5 yd
A patient is expected to drink 8 fluid ounces of water every hour for 5 hours prior to going to bed, the night before a colonoscopy. Then right before bed, they must drink 6 fluid ounces of water and 5 ounces of Pedialyte. How many total fluid ounces has the patient consumed prior to going to bed.
Answer:
40
Step-by-step explanation: It's 40 because 8 times 5 is 40. But if you want to find out how much water the patient drank all together including right before bed then it would be 46 ounces of water.
What is Greatest value of 7,499
Answer:
9 is the greatest value
Step-by-step explanation:
use the substitution method to solve the system of equations. choose the correct ordered pairs
-x=-y-6
x+2y=12
a. (7,1)
b. (8,2)
c. (6,0)
d. (9,3)
Answer:
c. (6, 0)
Step-by-step explanation:
First, add y on both sides of the first equation, so it's easier to solve:
-x+y = 6
x+2y = 12
Then, add the 2 equations:
3y = 18
y = 6
Since c is the only one with a 6, we can deduce that the answer is c.
We can further check by plugging y back into the first equation:
-x+6 = 6
-x = 0
x = 0
This confirms that the answer is c.
I hope this helped.
Suppose B is the point (4, -2) and A is the point (-6, 3).
Find point C so that point B is the midpoint of segment AC
Answer: (14, -7)
Step-by-step explanation:
PLEASE ANSWER QUICKLY ASAP
READ QUESTIONS CAREFULLY
Answer:
The answer is B and C . If you need the method I used to find it, contact me via comments on brainly.
Answer:
B and C
Step-by-step explanation:
on c i got exactly 25%
but on B i got 23% but B was the closest to 25% than A and D
To make sure that a given parallelogram is a rectangle, at least hon many of
its angles must measure 90°?
A. Four
B. Two
C. Three
D. One
Answer:
D. One
Step-by-step explanation:
A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.
A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do the math to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.
"The Math"
-> Keep in mind there will be four angles
-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.
360° - 90° = 270°
270° / 3 = 90° ✓
To make sure that a parallelogram is a rectangle, at least one angle must be 90°. The correct answer is D.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Let consider given parallelogram be ABCD.
All of the angles of a parallelogram must be 90° for it to be a rectangle.
Let ∠A = 90°.
Since opposite angles of a parallelogram are equal
So, ∠C = ∠A = 90°
And adjacent angles are supplementary and their sum is 180°.
So, ∠A + ∠B = 180°.
∠B = 180°- ∠A = 180° - 90° = 90°
As we know that opposite angles of a parallelogram are equal
So, ∠D = ∠B = 90°.
If all four angles are right angles (90°), then given one angle = 90°.
To make sure that a parallelogram is a rectangle, at least one angle must be 90°.
Learn more about parallelograms here:
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Find the Volume of the Prism.
Height= 3cm
Length=8cm
Width=5cm
Please help
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
wht is the scale factor of the dialation above plzzzzzzzzzzzzzzz help meeeeeeeeeeeee dont help no one else untill u help me thxs
Answer:
i believe its 1.75 (i had to relearn this)
Step-by-step explanation:
1.75 times 28= 49
1.75 times 20= 35
Which equation demonstrates the distributive property?
Answer:
C)
Step-by-step explanation:
The distributive property is
a(b + c) = ab + ac.
Choice C) shows the distributive property in reverse.
Answer: C)
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answer:
18
Step-by-step explanation:
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The price of Stock A at 9 A.M. Was $14.17. Since then, the price has been increasing at the rate of $0.11 each hour. At noon the price of Stock B was $14.67. It begins to decrease at the rate of $0.16 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
0.63 hours
Step-by-step explanation:
We are told that at 9am, the price of Stock A was $14.17 and we are told it increases by $0.11 each hour.
Thus, for x hours, the price will be;
P_a = 14.17 + 0.11x
Now,by noon, it would have been 3 hours.
Thus;
P_a = 14.17 + 0.11(3)
P_a = 14.17 + 0.33
P_a = $14.50
Now, at that same noon, another product known as stock B had a price of $14.67. We are told it begins to decrease at the rate of $0.16 each hour.
Now, we want to find how many how many hours will the prices of the two stocks be the same. If the number of hours is x, this means that;.
14.5 + 0.11x = 14.67 - 0.16x
Rearranging,we have;
0.11x + 0.16x = 14.67 - 14.5
0.27x = 0.17
x = 0.17/0.27
x = 0.63 hours
Diane made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.20. If the beads cost $2.90 for each necklace, how much did each pendant cost?
Answer:
what is the difference in length and the shortest length
Last year a tree was 12.8 meters tall it grew 1.35 meters taller this year if it grows the same amount next year how tall will the trees be
Answer:
15.5 meters tall
Step-by-step explanation:
Add 1.35 for each year to the start amount.
Find the mean absolute deviation of the set of data.
1, 4, 7, 8, 10
Answer:
2.8
Step-by-step explanation:
Answer:
2.8 is the MAD
6 is the mean
Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each. After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792. Find the number of each general admission tickets sold.
Given :
Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.
After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.
To Find :
The number of each general admission tickets sold.
Solution :
Let, general admission are x.
So, Reserved seat tickets will be 1787 - x.
Now, total amount T = 3x + 4( 1787 - x )
T = $5792
3x + 4( 1787 - x ) = $5792
-x + 7148 = 5792
x = 1356
Therefore, the number of each general admission tickets sold are 1356.
Hence, this is the required solution.