Which of the following are solutions to the equation below? Check all that apply. 2x2 + 18 x = 20 A. 20 I B. 1 C. -2 O D. -2 E. -10 1 F. -1
Answers
Answer:
B and E
Step-by-step explanation:
To verify which are solutions, substitute the given values into the left side of the equation and if equal to the right side then they are solutions.
A
2(20)² + 18(20) = 800 + 360 = 1160 ≠ 20 ← not a solution
B
2(1)² + 18(1) = 2 + 18 = 20 ← solution
C
2(- 2)² + 18(- 2) = 2(4) - 36 = 8 - 36 = - 28 ≠ 20 ← not a solution
D
Is a repeat of C
E
2(- 10)² + 18(- 10) = 2(100) - 180 = 200 - 180 = 20 ← solution
F
2(- 1)² + 18(- 1) = 2(1) - 18 = 2 - 18 = - 16 ≈ 20 ← not a solution
Then B and E are solutions to the equation
[tex] \huge \mathrm{Answer࿐ }[/tex]
let's solve the quadratic equation :
[tex]2 {x}^{2} + 18x = 20[/tex][tex]2 {x}^{2} + 18x - 20 = 0[/tex][tex]2 {x}^{2} + 20x -2 x - 20 = 0[/tex][tex]2x(x + 10) - 2(x + 10) = 0[/tex][tex](2x - 2)(x + 10) = 0[/tex]So, there are two cases :
Case - 1 (when, 2x - 2 = 0)
[tex]2x - 2 = 0[/tex][tex]2x = 2[/tex][tex]x = 1[/tex]Case - 2 (when, x + 10 = 0)
[tex]x + 10 = 0[/tex][tex]x = - 10[/tex]Therefore the required options will be :
B. 1 and E. -10Related Questions
question 4, plz help ( radius is 6.8)
Answers
Answer:
A) 145.3 cm^2
Step-by-step explanation:
The formula for the area of a circle is A = π r^2
So to find the area we would plug the radius of 6.8 into the formula
Area = π (6.8)^2
Area = (3.14) (6.8)^2
Area = 145.27
Area = 145.3
The rule for a pattern is ''take half the number to get the next number.'' the first number in the pattern is 16 what is the next number?
Answers
Answer:
8
Step-by-step explanation:
Let the next number be x
'taking half the number to get the next number. is expressed as;
1/2 of 16 = x
x = 1/2 *16
x = 16/2
x = 8
hence the next number will be 8
what is the value of x? 5 60 30 marking brainliest and giving thanks to all!!!
Answers
this is 90 60 30 formula for example
90 meet 2x
30 meet x
and
60 meet x√3
so 90 meet 5
30 meet 5/2=2.5
and 60 meet 2.5√3
so the answer is 2.5
Answer:
2.5
Step-by-step explanation:
[tex]\sin 30\degree = \frac{x}{5}\\\therefore x = 5\sin 30\degree\\\therefore x = 5 \times \frac{1}{2}\\\therefore x = 2.5[/tex]
I have an exam helpoo
Answers
If the data (x+1), (2x+1), (x+7), and (3x+4) are in ascending order and the median is 16, then find the value of 'X'.
Answers
Answer:
[tex]sum \: = (x + 1) + (2x + 1) + (x + 7) + (3x + 4) \\ = 7x + 13 \\ median = ( \frac{sum}{2} + 1) \\ 16 = ( \frac{7x + 13}{2} + 1) \\ 7x + 13 = 14 \\ 7x = 1 \\ x = \frac{1}{7} [/tex]
I’m g8 mid u7 assessment 2020-2021
Answers
Answer:
are you having a stroke?
18 - 4x = -2
A. 5
B. -4
C. 4
D. -5
Answers
Answer:
x=5
Step-by-step explanation:
-4=-2-18
-4=-20
x=5
John and George together raked g of the yard. John 7. raked of that amount. What part of the yard did John rake?
Answers
Answer:
7/32
Step-by-step explanation:
John and George together raked 7/8 of the yard. John raked 3/4 of that amount. What part of the yard did john rake?
Proportion of the yard Jake raked = 7/8 x 3/4 = 21/32
Portion of the yard Jake raked = 21/32 - 7/8 = 7/32
Solve for a side in right triangles
I don’t know how to do this so please someone teach me how to do this?? I need help here!
Answers
Answer:
2.33
Step-by-step explanation:
imagine a circle. its center is A, and it goes through B, so its radius is AB.
then it is important to know that the sum of all the angles in a triangle is 180 degrees.
one angle (at C) is 90. the angle at B is 25. so, the angle at A is 180 - 90 - 25 = 65 degrees.
more back to our circle.
in this circle the line CB is the sine of the angle at A multiplied by the radius.
and AC is the cosine of the angle at A multiplied by the radius.
we can ignore the orientation + and - of these functions, as we are only interested in the absolute length (and we can mirror the triangle, and all the angles and side lengths still stay the same).
=> CB = sin(A)×AB
AC = cos(A)×AB
=> 5 = sin(65)×AB
=> AB = 5 / sin(65)
=> AC = cos(65)×5/sin(65) = 5 × (cos(65)/sin(65)) =
= 5 × cot(65) = 2.33
What is the surface area of the square pyramid below?
A. 25 square inches
B. 65 square inches
C. 85 square inches
D. 105 square inches
Answers
Answer:
B. 65 sq. inches
Step-by-step explanation:
(5×5)+(4×½×5×4)
= 25+40
= 65 sq. inches
Find the change in temperat
(1 Point)
from - 13°C to 15'c
Answers
Answer:
The change in temperature is 28°C
Step-by-step explanation:
Look at the given figure. If the triangles are congruent, give the theorem. If not, select not congruent.
Pleeeease help!!!!
Answers
Simplify the radical expression 3√5+6√45
Answers
Answer:
21[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying [tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]
Then
3[tex]\sqrt{5}[/tex] + 6[tex]\sqrt{45}[/tex]
= 3[tex]\sqrt{5}[/tex] + 6(3[tex]\sqrt{5}[/tex] )
= 3[tex]\sqrt{5}[/tex] + 18[tex]\sqrt{5}[/tex]
= 21[tex]\sqrt{5}[/tex]
Answer:
[tex]21\sqrt{5}[/tex]
Step-by-step explanation:
Pull terms out from under the radical, assuming positive real numbers.
You move right 2 units and down 7 units. You end at (8, 2). Where did you start?
Answers
Answer:
(10,9)
Step-by-step explanation:
CHAD HAS 1/2 TON OF GRAVEL TO SPREAD EQUALLY IN 8 SQUARE YARDS FOR HIS DRIVEWAY. HOW MANY TONS OF GRAVEL WILL BE SPREAD IN EACH SQUARE YARD
Answers
Answer:
1/16
Step-by-step explanation:
½ ton ==> 8 sq. yards
so, each sq. yard needs ½ ÷ 8 = 1/16 ton
Theresa had her hair cut to a length of 10 inches. If her hair grows at a rate of 0.02 inch per day, which equation represents the length (L) of Theresa’s hair, in inches, after d days?
d=0.2+10Ld is equal to 0 point 2 plus 10 liters
d=10+0.2Ld is equal to 10 plus 0 point 2 liters
L=0.2+10dcap l is equal to 0 point 2 plus 10 d
L=10+0.2dcap l is equal to 10 plus 0 point 2 d
Answers
Answer:
L = 0.02d + 10
Step-by-step explanation:
The hair starts at 10 inches long.
L = 10
Now we add 0.02 inches in length per day.
In 1 day, it grows 0.02 inches.
In 2 days, it grows 0.02 * 2 inches.
In d days, it grows 0.02d inches.
Now we add the starting length, 10, and the growth per day, 0.02d, to get:
L = 0.02d + 10
I NEED HELP ASAP PLEASEEEEE IM ALREADY FAILING THIS CLASS AND I NEED HELP ASAP
Answers
Answer:
I think that it would be 100^(0.085)
hello please help i’ll give brainliest
Answers
Answer:
D is the answer for the question
Which number can be inserted in the box to make the equation below true?
Answers
Answer:
A. 5
Step-by-step explanation:
how to solve this pleas help me
Answers
Step-by-step explanation:
angle 1 = 41+65=106°
angle 2 = 112-65=47°
Please help me solve this!
Answers
Yasmin went shopping for a new phone. Sales tax where she lives is 4%. What number should she multiply the price of the phone by to find the total plus tax in one step?
Answers
Answer:
0.04
Step-by-step explanation:
0.04 because if it's a cent before its 10'-100 u put .0 infront of it.
Please please help please please help me with this question please
Answers
Answer:
U just need to guess it does not have to be exact just say like 200 bricks and u will get it right.
2/18 + 3/6 in it's simplest form
Answers
Answer:
11/18
Step-by-step explanation:
3/6, aka 1/2 is 9/18 and that plus 2/18 is 11/18
Trisha's favourite song is 2 1/2 minutes. There is a drum solo that begins one third of the way into the song and last for 24 seconds. How many seconds does the drum solo end
Answers
Answer:
74 seconds or1 minute 14 secondsStep-by-step explanation:
The drum solo begins a third of the way into the song which lasts 2.5 minutes.
The drum solo therefore starts at:
= 2.5 * 1/3
= 0.83 minutes
Translate that to seconds by multiplying by 60:
= 0.83 * 60
= 50 seconds
Solo begins at 50 seconds in and lasts for 24 seconds:
= 50 + 24
= 74 seconds or
= 1 minute 14 seconds
what fraction plus 7/8 = 1
Answers
Answer:
1/8
Step-by-step explanation:
yes
I NEED HELP!!! 10 POINTS!!! AND BRAINLYIST
Answers
Answer:
GD = 5/2 sqrt 2 = 2½ sqrt 2
EG = 5/2 sqrt 6 = 2½ sqrt 6
find the ratio of 2500g to 35kg
Answers
35kg - 3500g
3500g - 2500g
= 1000g
Answer:
1 : 14
Step-by-step explanation:
The measures must have the same units, that is both g or Kg
2500 g : 35 Kg
= 2500 g : 35000 g ( 1 Kg = 1000 g )
Divide both parts by 100
= 25 : 350 ( divide both parts by 25 )
= 1 : 14
How would you determine the volume?
V=1/3(14)(10)
V=(10)(8.3)(14)
V=1/2(10)(8.3)(14)
V=1/2(10)(10)(14)
Answers
Answer:
3rd
Step-by-step explanation:
it took anthony and travis 6 hours to take the leaves together last year. the previous year it took travis 10 hours to do it alone. how long will it take anything if he takes the leaves by himself this year?