Answers
Answer :
Option C (x = 3 or x = -13)⠀
Explanation :
⠀
[tex] \longrightarrow \sf \qquad {x}^{2} + 10x = 39[/tex]
⠀
We can write it as,
[tex] \longrightarrow \sf \qquad {x}^{2} + 10x - 39 = 0[/tex]
⠀
We have to find the two numbers a and b such that,
[tex] \longrightarrow \sf \qquad a + b = 10[/tex]
[tex] \longrightarrow \sf \qquad a b = 39[/tex]
⠀
Obviously, the two numbers are 3 and 13.
[tex] \longrightarrow \sf \qquad {x}^{2} - 3x + 13x - 39 = 0[/tex]
[tex]\longrightarrow \sf \qquad {x}(x - 3)+ 13(x - 3) = 0[/tex]
[tex]\longrightarrow \sf \qquad ({x}+ 13)(x - 3) = 0[/tex]
⠀
Whether, the value of x :
[tex]\longrightarrow \sf \qquad {x}+ 13 = 0[/tex]
[tex]\longrightarrow \pmb{\bf \qquad {x} = - 13}[/tex]
⠀
Whether, the value of x :
[tex]\longrightarrow \sf \qquad {x} - 3 = 0[/tex]
[tex]{\longrightarrow { \pmb{\bf \qquad {x} = 3}}}[/tex]
⠀
So,
Option C (x = 3 or x = -13) is correct.Related Questions
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the values of x and y.
Answers
Step-by-step explanation:
The figure shows an isosceles triangle. The two sides of an isosceles triangle are equal and the two base angles are equal. Since line AD is the angular bisector of the top Angle of an isosceles triangle, AD is also the base midline and base perpendicular bisector of the triangle.
So x=90 degrees.
The angles of a triangle add up to 180 degrees. So ∠DAC=(180-90-47)=43 degrees
y=43 degrees.
Answer:
y = 43°
x = 90°
Step-by-step explanation:
x = 90°(right angle)
y + 47 + x = 180(base angles of isosceles are equal)(all angles of triangle are equal)
y + 47 + 90 = 180
y + 137 = 180
y = 180 - 137
y = 43°
If the sum of three consecutive number is 36,find the numbers?
Answers
x+x+x= 36 what about 3x you divide by the co_efficient of 3 which you will get 12.....(so 12-1 on your left and +1 on your right hand side....so the numbers are ( 11+12+13=36)
Anyone know? Someone said 120 but that’s obviously not an option!
Answers
What is an equation of the line that passes through the points (3,6) and (-1,-6)
Answers
Answer:
the slope is 3
Step-by-step explanation:
use the equation
y2 -y 1 / x2 - x1
to find the slope
6 - (-6) / 3 - (-1)
6 + 6 / 3 + 1
12 / 4
3
jenny worked on an art project for 4 3/4 hours. She spent 2/3 of the time drawing and painting. How many hours did she spend drawing and painting
Answers
Answer:
3.16
Step-by-step explanation:
Because 4 3/4 divided by 2/3 is 3.16666666667 and 3.16666666667 simplified is 3.16. So 3.16 is the answer.
Hope this helps!
I do not know this answer
Answers
Answer:
-2,-2 i think
Step-by-step explanation:
Need help ASAP (IMAGE ATTACHED)
Answers
Answer:
The answer is B
Step-by-step explanation:
It becomes 8y = -3x + 12.
Then divide by 8 on both sides.
y = -0.375+1.5
This you can turn it into a fraction which is y = -3/8 + 1.5
I need help with question 5 please help me
Answers
Which of the following statements describes the process for solving 4x > -24
Answers
1. Divide 4 both sides
4x/4 > -24/4=> x > -62. Graph the inequality
Graph attached~A restaurant uses 4⁄5 ounce of gravy for each serving of meat loaf. If 45 people ordered meat loaf, how much gravy will the restaurant need in ounces?
Answers
Step by step:
4/5 x 45 make 45 into a fraction
4/5 x 45/1 multiply
180/5 simplify
34 (ounces)
Answer:
The correct answer is 36 ounces
Step-by-step explanation:
This data set represents the number of cups of flour used in different recipes. What is the mean of this data set? {1/2, 1/3, 2/3, 1 1/2} Enter your answer as a fraction in simplest form in the box. Will give Brainiest to FIRST CORRECT answer!!
Answers
Answer:
what is the answer
Step-by-step explanation:
I'm doing the test right now
∠A and
∠
B
∠B are supplementary angles. If m
∠
A
=
(
7
x
+
7
)
∘
∠A=(7x+7)
∘
and m
∠
B
=
(
4
x
−
14
)
∘
∠B=(4x−14)
∘
, then find the measure of
∠
B
∠B.
Answers
angle A+ angle B = 180
(7x+7)+(4x-14)=180
Combine like terms
11x-7=180
11x=187
x=187/11
x=17
Insert x value.
4(17)-14
68-14
54.
Measure of A would be
7(17)+7
126
54+126 is 180 so they are supplementary.
Again, measure of angle B is 54
The cost of an afternoon movie ticket was $4.00.
This year an afternoon movie ticket costs $5.00.
What is the percent increase of the ticket from last
year to this year?
A. 10%
B. 20%
C. 25%
D. 40%
Answers
Answer:
c
Step-by-step explanation:
25% of 4 or 4 divided by 4 is 1. 1+4 is 5
I need help Solveing for X
Answers
Answer:
x = 57°
Step-by-step explanation:
23° + 100° + x = 180°
123° + x = 180°
-123 -123
x = 57°
Hope this helps!
what’s 34 + 2x = 49??? I NEED HELP
Answers
34 + 2x = 49
minus 34 from both sides
2x = 15
divide both sides by 2
x = 7.5
(to confirm 2x = 15, 34 + 15 = 49)
Answer:
x = 7.5
Step-by-step explanation:
Use algebraic manipulation (and remember that anything you do to one side must be done to the other, in most cases):
34 + 2x = 49
-34 -34
2x = 49 - 34
2x = 15
x = 7.5
Hi there can anyone help
-42/x = 14/-2
what is x
thanks
Answers
Answer:
x=6
Step-by-step explanation:
14÷(-2)=-7
-42÷(-7)=6
For what value of p are 2p + 1, 13, 5p – 3, three consecutive terms of AP?
Answers
Answer:
4
Step-by-step explanation:
The arithmetic progression terms, are
(2p+1), 13, (5p-3).
First find the distance between 2p+1 and 13.
[tex]13 -( 2p + 1 )= - 2p + 12[/tex]
Then find distance between 13, and 5p-3
[tex]5p - 3 - ( 13) = 5p - 16[/tex]
Terms in a AP progression should have same distances as each other.
[tex]5p - 16 = - 2p + 12[/tex]
[tex]7p = 28[/tex]
[tex]p = 4[/tex]
Answer:
Given 2p+1, 13 , 5p-3 are in AP. P is 4.
simplify (6 - sqrt25)/4
Answers
Answer:
(6-5)/4= 1÷4=0.25
Step-by-step explanation:
Factor completely 4x3 8x2 − 25x − 50. (4x2 − 25)(x 2) (2x − 2)(2x 2)(x 5) (2x − 5)(2x 5)(x 2) (2x − 5)(2x 5)(x − 2).
Answers
Answer:
(2x − 5)(2x + 5)(x + 2)
Step-by-step explanation:
i hope this helps
PLEASEHELP!!!!!!
Two runners start the race at the same time. The first runner's speed is 4/5 of the speed of the second runner. After 30 minutes, the runners are 2 miles apart. What is the speed of each runner?
*not 1.78 & 2.22 :(*
Answers
Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.
What is a proportion?A proportion is a fraction of a total amount.
After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:
[tex]v_2 = v_1 + 4[/tex].
The first runner's speed is 4/5 of the speed of the second runner, hence:
[tex]v_1 = \frac{4}{5}v_2[/tex]
[tex]v_1 = \frac{4}{5}(v_1 + 4)[/tex]
[tex]\frac{1}{5}v_1 = \frac{16}{5}[/tex]
[tex]v_1 = 16[/tex]
[tex]v_2 = 16 + 4 = 20[/tex]
Hence, the speed of the runners are of 16 mph and of 20 mph.
More can be learned about proportions at https://brainly.com/question/24863377
Answer:
Using proportions, it is found that the speed of the runners are of 16 mphand of 20 mph.What is a proportion?A proportion is a fraction of a total amount.After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:.The first runner's speed is 4/5 of the speed of the second runner, hence:Hence, the speed of the runners are of 16 mph and of 20 mph.
Step-by-step explanation:
Select the correct answer. What is the decimal form of 17%?A. 17B. 1. 7C. 0. 17D. 0. 17
Answers
Answer:
A
Step-by-step explanation:
You would move the decimal back only 2 places.
Answer:
0.17
Step-by-step explanation:
All you do is divide by 100.
ASAP!
Emma invested $750 in an account paying an interest rate of 1. 9% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $910?
Answers
Answer:
the answer is 2.6 show in the workings below
.
Use the information below to answer 1–3.
Three students are playing a video game. Each player is randomly
assigned a character from a collection of characters that includes
5 blue, 6 green, and 3 red characters. After each character is picked,
it is not replaced in the collection.
1. What is the probability that the first player does not get a blue character?
Answers
Answer:
The probability the 1st player does not get a blue chracter is 9/14.
Step-by-step explanation:
So there is a total of 14 characters.
9 of them are not blue
9/14 = .642857 (~64%, not the answer since it's not asking for percents)
The probability the 1st player does not get a blue chracter is 9/14.
What is the solution of startroot negative 4 x endroot = 100? x = –2500 x = –50 x = –2.5 no solution
Answers
Hey there!
-√4x = 100
WELL….
-√4 = -2
NEW EQUATION:
-2x = 100
DIVIDE -2 to BOTH SIDES
-2x/-2 = 100/-2
CANCEL out: -2/-2 because it give you 1
KEEP: 100/-2 because it help solve for the x-value (mainly give you it)
NEW EQUATION: x = 100/-2
SIMPLIFY IT!
x = -50
Therefore, your answer is: x = -50
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
B-X=-50
Step-by-step explanation:
A hollow post is made out of a lightweight aluminum alloy that is 1.5 cm thick. The alloy is folded into the shape of a right rectangular prism measuring 9 cm by 9 cm by 28 cm. Find the total volume of alloy in the post. Round your answer to the nearest hundredth if necessary.
Answers
The total volume of alloy in the post is about 900 cm³
What is a volume?
Volume is the amount of space occupied by a three dimensional shape or object.
Volume = length * width * height
The right rectangular prism measuring 9 cm by 9 cm by 28 cm. The alloy is 1.5 cm thick.
Length = 9 - 1.5 - 1.5 = 6 cm, width = 9 - 1.5 - 1.5 = 6 cm, height = 28 - 1.5 - 1.5 = 25 cm. Hence:
Volume = 6 * 6 * 25 = 900 cm³
The total volume of alloy in the post is about 900 cm³
Find out more on volume at: https://brainly.com/question/12410983
Answer:
1837.5
Step-by-step explanation:
I jut did it
please help it’s due tmw and i really need help
5.
The height of a trapezoid (h) measures 4 cm. Its shorter
base (b) measures 3 cm. A similar trapezoid has a
shorter base measuring 15 cm. Use proportional
reasoning to find the height of that similar trapezoid.
Answers
Answer:
20
Step-by-step explanation:
if two trapezoids are the same proportions, and one is 3cm, and the other is 15, the makes that second 5 times larger than the first. therefore, the height is also 5 times larger
4 x 5=20
What is the factorization of 49b2 − 81? (7b – 9)(7b – 9) (7b – 9)(7b 9) (7b2 – 9)(7b2 – 9) (7b2 – 9)(7b2 9).
Answers
answer : (7b+9)(7b-9)
An expression is shown below (x^4/3)(x^2/3). What is the product of the two factors?
Answers
Answer:
x^2
Step-by-step explanation:
(x^4/3)(x^2/3)
When we multiply the exponents with the same base, we add the exponents
x^(4/3+2/3)
x^(6/3)
x^2
Can someone help with this math problem pleaseeee
Answers
Explanation:
The square root undoes the squaring operation.
Think of a square that is 1 ft by 1 ft. Its area would be 1*1 = 1 sq ft.
Now imagine you told your friend "the area is 1 sq ft" and you didn't relay the side lengths. Your friend would use the square root to find the side length is 1 ft.
I'm not sure why your teacher is using plus minus notation when that is not correct. Saying [tex]\sqrt{1} = \pm 1[/tex] is not true. The result of a square root is simply one value only. If your teacher meant [tex]\pm \sqrt{1} = \pm 1[/tex], then it would be a true statement; however, there's no need to involve negative numbers for this problem.
solve for x and y using elimination method:-
7x -2y = 3, 1/2 - 3y = 8
Answers
Answer:
take a picture of the whole question I'm not sure if you wrote the second is right,where is "X" in the second equation?
Step-by-step explanation:
take a picture of the whole question I'm not sure if you wrote the second is right,where is "X" in the second equation?