The solution set of the given quadratic equation using factorization will be {-3,11}
Given equation is
[tex]x^{2} -8x-33 = 0[/tex]
What is a quadratic equation?The polynomial equation whose highest degree is two is called a quadratic equation. The equation denoted by ax² + bx + c = 0, where a is non-zero.
Let us calculate the roots by factorization
[tex]x^{2} -11x+3x-33=0[/tex]
[tex]x(x-11)+3(x-11)=0[/tex]
[tex](x-11) (x+3)=0[/tex]
[tex]x-11=0\\x=11\\x+3=0\\x=-3[/tex]
Hence, the solution set of the given quadratic equation will be {-3,11}
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Answer:
A
Step-by-step explanation:
For what value of x is JKLM a parallelogram?
There is a quadrilateral JKLM in which the measure of angle JKL is (4x+13) degrees, the measure of angle KLM is (4x-1) degrees, the measure of angle LMJ is (5x-8) degrees, and the measure of angle MJK is (3x+20) degrees
Answer:
5568854 56 great selection and
Total surface area of a cuboid is 112 cm. Find the value of x
Which shows one way to determine the factors of x3 5x2 – 6x – 30 by grouping?.
The factor are (x^2 - 6)(x + 5).
We have given the polynomial of [tex]x^3 + 5x^2 - 6x - 30.[/tex]
What is the grouping method?The grouping method can be used to factor polynomials whenever a common factor exists between the groupings.
[tex]x^3 + 5x^2 - 6x - 30.[/tex]
factor out the x^2 from first two term and write the remaining term in the bracket
similarly,factor out 6 from the 3rd and 4th term we get
[tex]x^2(x+5)-6(x+5)[/tex]
by grouping are we get
[tex](x^2 - 6)(x + 5).[/tex]
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"How many
2/3
are in 3?"
Write a multiplication equation and a division equation.
Answer:
Change two-thirds to a decimal and then multiply the decimal and your number. To convert 2/3 to decimal, divide the numerator by the denominator: 2 / 3 = 0.66666 ... 7, which you can round to 0.67. For example, to find 2/3 of 21: 0.67 * 21 = 14.07.
Find the value of 4 2 + 6 ÷ 2.
7
11
19
No answer!
Step-by-step explanation:
42+6=48÷2=24
what is the answer of this question?
or the answer 45.
I can't under stand sir!
a boy was on question 6 of his test and only 10 of the test was done .how many questions are on hes test
Encuentra las medidas que faltan
Answer:
x=49
Step-by-step explanation:
los 3 angulos del triangulo deben de sumar 180
76+55=131
180-131=49
76+55+49=180
raul is saving money to buy a new bicycle., He starts with $60 in his bank account. Raul helps his mother at her shop to earn money for each day he works. Raul earns $20. The bicycle he wants is $340 How many days does raul have to work so that he has enough money for the bicycle
Louise save R4800 to buy a scooter.Thr are two options to purchase the scooter hire purchase the scooter with a 30% deposit and 48 monthly payments of R500 or R16000 cash
Explain in your own words with calculations to prove your point which option Louise needs to take if she would like to buy the scooter
Answer:
she would like to buy the scooter yes
I’ll mark brainly if u answer this worksheet!!
Answer:
Here are the answers!
Step-by-step explanation:
1. d=4 in. c=12.56 in. a=12.56 in2
2. r= 10 in. c=62.8 in. a=314 in2
3. r=5 in. c=31.4 in. a=78.5 in2
4. r=20 in. c=125.6 in. a= 1256 in2
5. d=36 in. c=113.04 in. a=1017.36 in2
6. d=16 in. c=50.24 in. a= 200.96 in2
7. d=24 in. c=75.36 in. a=452.16 in2
8. r=16 in. c=100.48 in. a=803.84 in2
9. d=30 in. c=94.2 in. a=706.5 in2
Hope this helps!
Please anyone solve this problem
Answer:
3821.9 [cm³].
Step-by-step explanation:
1) the required volume can be calculated as:
V=V(prism)-V(cylinder);
2) V(prism)=32*12*11=4224 [cm³];
3) V(cylinder)=π*r²*32=3.1415*4*32≈402.1 [cm³];
4) finally, V=4224-402.1=3821.9 [cm³].
For more info see the picture in the attachment.
Answer:
3,822.08 cm2
Step-by-step explanation:
You would start off by finding the volume of the who post which is 4,224. You then would find the volume of the hole cut out which is 401.92. Then you would subtract 401.92 from 4,224 giving you 3,822.08.
Hope this helps!
6. In any parallelogram ABCD, it is always true that the
measures of ZABC and ZBCD:
F. add up to 180°
G. add up to 90°
H. are each greater than 90°.
are each 90°
K. are each less than 90°.
What is the probability of rolling a 4 or less on a die? (Make sure your answer is in simplest form.)
Answer:
2/3
Step-by-step explanation:
There are 6 faces on a die
probability of rolling a 4 or less (there are 4 numbers) = 4/6 = 2/3
FRIENDLY REMINDER
Don't trust me.
I dont even know what I'm saying
PLEASE HELP WITH THIS
Answer:
the last one
f ^ - 1 * (x) = log5 x
Figure STUV is translated 7 units down and 5 units left. What are the coordinates for T'?
1) 12,-1
2) 12,11
3) 0,-1
4) -2,11
Step-by-step explanation:
T will be at (0,-1)
T is at (5,6) it f translated it will be at
(5-5, 6-7) or (0,-1)
hope it helps
Solve the compound inequality.
Answer:
Answer: b<4 or b>-2. hope it helps!
2. What is the measure of side KL?
Answer:
KL ≈ 3.6
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{KL}{8}[/tex] ( multiply both sides by 8 )
8 × tan24° = KL , then
KL ≈ 3.6 ( to the nearest tenth )
Answer:
3.6
Step-by-step explanation:
Using Trigonometry we know;
SOH, CAH, TOA
Therefore we will use TOA as we want to find the opposite which will be
tan=opposite/adjacent
so, opposite=tan(x) times adjacent (rearranged the formula)
which then will be:
tan(24) × 8= 3.561829482
KL=3.6
What's the transformation rule for the following image?
(x+8, y−5)
(x−5, y+8)
(x+8, y+5)
(x−8, y−5)
What is the measure of YVZ
Answer:
XYZ= 100°
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A 500-foot cable is attached to the top of a tower and is stretched tight to a point that is 350 feet away from the base of the tower. What is the angle of depression formed by the cable? A. 34. 9° B. 35. 3° C. 44. 4° D. 45. 6°
The angle of depression formed by the cable is 44°.
The angle of depression is an angle measured downward from a horizontal line to the line of sight between an observer and a point that is below the observer. It is used to describe the angle formed between a horizontal reference line (usually the observer's line of sight) and a line drawn from the observer's eye to a point of interest that is lower in elevation.
According to the question the tower, cable, and path makes a triangle whose
base = 350 feet,
hypotenuse = 500 feet.
Since, cos[tex]\theta[/tex] = [tex]\frac{base}{hypotenuse}[/tex]
= [tex]\frac{350}{500}[/tex]
= [tex]\frac{7}{10}[/tex]
[tex]\theta[/tex] = arccos([tex]\frac{7}{10}[/tex])
= 0.77539749 radians
= 0.77539749 × [tex]\frac{180^o}{\pi}[/tex]
= 0.77539749 × [tex]\frac{180^o}{3.14}[/tex]
= 44.45°
≈ 44°.
Thus, the correct answer is C. 44°.
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Damien has won 164 basketball games and lost 4. what percentage of his games have he won?
Answer:
2.44% (rounded to nearest hundredth) games LOST
97.56% Games WON
My gratitude attitude - THANKS!
The amount of money an accountant makes, m, for working h hours can be represented by the equation m = 29.4h. What is the constant of proportionality of the equation?
The constant of proportionality for the considered equation is 29.4
What is constant of proportionality?Firstly, there is proportional relationship.
Two values [tex]x[/tex] and [tex]y[/tex] are said to be in a proportional relationship if [tex]x=ky[/tex], where [tex]x[/tex] and [tex]y[/tex] are variables and [tex]k[/tex] is a constant.
The constant k is called constant of proportionality.
The proportional relationship between x and y can be written symbolically as
[tex]x \propto y[/tex]
That middle sign is called sign of proportionality.
For the given case, we've got the equation as:
[tex]m = 29.4h[/tex]
Here, m and h are variables.
Thus, using the aforesaid definition, in this equation, the constant of proportionality is 29.4
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A triangle has two angles that are 68 degrees and 78 degrees. What is the third angle
Answer:
36°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°.
Two of the angle measures are given already so all we need to do is to add up the measures.
Let x represent the missing angle:68 + 78 + x = 180
Add measures.144 + x = 180
Subtract 144 from both sides.x = 36°
An airplane is flying at an elevation of 20,000 feet and descends at a rate of 325 feet per minute for 8 minutes. What is the new elevation of the airplane?
An airplane is flying at an elevation of 20,000 feet and descends at a rate of 325 feet per minute for 8 minutes. What is the new elevation of the airplane?
Answer: 17,400
I put the explanation down below! Hope this helps!
How do you solve this?
Step-by-step explanation:
We need to find the demand so the variable x is unknown.
We know that the variable p is 37.55 so we replace that in the equation
[tex]37.55 = 40 - \sqrt{0.01x + 1} [/tex]
Subtract Property
[tex] - 2.45 = - \sqrt{0.01x + 1} [/tex]
Division Property
[tex]2.45 = \sqrt{0.01x + 1} [/tex]
[tex](2.45) {}^{2} = 0.01x + 1[/tex]
[tex]6.0025 = 0.01x + 1[/tex]
[tex]5.0025 = 0.01x[/tex]
[tex]500.25 = x[/tex]
So the answer is about 500 units per day
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 1
Step-by-step explanation:
a^2 + b^2 = c^2
The hypotenuse (c) and a side length is already given, so:
x^2 + 12 = 13
x^2 = 1
Square root of 1 = 1
So, x = 1
You can check it by 1+12=13
Simplify the expression 5^3 + 3(5 − 3).
137
131
27
21
[tex]\small\bold\orange{ → } \small\bold{ 5^3 + 3(5 − 3) }[/tex]
[tex]\small\bold\orange{ → } \small\bold{ 5^3 + 3 ( 2 ) }[/tex]
[tex]\small\bold\orange{ → } \small\bold{ 5^3 + 6 }[/tex]
[tex]\small\bold\orange{ → } \small\bold{131 }[/tex]
Help pls lol
Answer choices
A) By the angle addition postulate
B) because Measurement RMT= Measurement SMQ
C) because that is given information
D) because you can measure them with a protractor
Answer:
A
Step-by-step explanation:
If you use process of elimination, it is the only one that makes since in the situation.
What is catalyst?
[tex] \\ [/tex]
Answer:
Catalysis is the process of increasing the rate of a chemical reaction by adding a substance known as a catalyst. Catalysts are not consumed in the reaction and remain unchanged after it.
Pls, choose me as brainliest!
Catalyst is a substance that speeds up the rate of any chemical reaction but they do not take part in the reaction.
What is a catalystCatalyst is a substance that speeds up the rate of any chemical reaction but they do not take part in the reaction.
Catalysis is the process of increasing the rate of a chemical reaction by the addition of a substance known as a catalyst.
Catalysts are known not to be consumed in the reaction and remain unchanged at the end of a reaction
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please someone help me!!!
Step-by-step explanation:
The number of total students is 18+12+10=40
So
1) 18:40 but simplified it will be 9:20
2) 10:40 but simplified it will be 1:4
3) 30:40 but simplified it will be 3:4
4) 30:10 but simplified it will be 3
5) 18:22 but simplified it will be 9:11
N.B simplified means dividing them by their common multiple. so the final answer for each is the number after it is simplified
