If the solutions to a quadratic equation were -2 and 3 then,
А. The x-intercepts of the graph are also - 2 and 3.
C. The factors are (x - 2) and (x + 3).
The equation is ax² + bx + c = 0 is x² = x - 6 = 0.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, The solutions to a quadratic equation were -2 and 3.
∴ The quadratic equation ax² + bx + c = (x + 2)(x - 3).
So, The x-intercepts of the graph are also - 2 and 3.
The factors are (x - 2) and (x + 3).
The equation is ax² + bx + c = 0
= (x + 2)(x - 3) = 0
= x² - 3x + 2x - 6 = 0
= x² = x - 6 = 0.
learn more about quadratic equations here :
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Step-by-step explanation:
I used Pythagoras Theorem to find the diagonal distance as placement of objects is right angles triangle.
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
a : Elm street
b : Birch street
c : Diagonal distance
c^2 = a^2 + b^2
c^2 = 15^2 + 8^2
c^2 = 225 + 64
c = √289
c = 17 blocks
I added the total distance of the original route Joline took
= 15 blocks + 8 blocks
= 23 blocks
How much less distance does she have to walk if she took the diagonal route
= Total distance of original route - distance of diagonal route
= 23 - 17
= 6 blocks
Joline have to walk less 6 blocks if she took the diagonal route compared to her original route
. Theo is comparing shark lengths. He learned that a horn shark is 2 3/4 feet long. A blue shark is 4 times as long. Use the bar model. How long is a blue shark?
A 8 3/4 feet
B 11 feet
C 12 1/4 feet
D 13 feet
Answer:
11
Step-by-step explanation:
2 3/4 times 4 equals 11
Com a entrada da Rita a classe ficou com 20 alunos a média das idades destes 20 alunos é 13,2 anos
No final da primeira semana dois alunos de 15 anos abandonaram a classe
Qual passou a ser a média
Answer:
New avaerage if 2 students (15 year old) left = 13
Step-by-step explanation:
Given:
Average age of 20 students = 13.2
Find:
New avaerage if 2 students (15 year old) left
Computtaion:
Sum of all 20 student's age = 20 x 13.2
Sum of all 20 student's age = 264
Sum of current 18 student's age = 264 - 15 - 15
Sum of current 18 student's age = 234
New avaerage if 2 students (15 year old) left = 234 / 18
New avaerage if 2 students (15 year old) left = 13
What is the predicted end-of-year value of a portfolio that begins the year with $200, in stocks and $100 in bonds?
Answer:
$318
Step-by-step explanation:
Calculation to determine the predicted end-of-year value of a portfolio
Given expression 1.08s + 1.02b
Now let determine the Predicted end-of-year value
Predicted end-of-year value=1.08(200) +1.02(100)
Predicted end-of-year value=216+102
Predicted end-of-year value=$318
Therefore the predicted end-of-year value of a portfolio will be $318
If two line segments are congruent, which of the following must be true?
A.
They are equal.
B.
They have equal lengths.
C.
They share an endpoint.
D.
They form a right angle.
They have equal lengths is the correct answer
Misty needs to gather at least 20 flags for the parade. She has already gathered 6 flags. The inequality shown can be used to find n, the number of flags Misty still needs. n + 6 > 20 Which inequality represents the solution set for this situation? F n < 26 G n > 26 H n < 14 J n > 14
Answer: [tex]n>14[/tex]
Step-by-step explanation:
Given
Misty needs to gather at least 20 flags for the parade
She has already gathered 6 flags
Inequality to find the number of flags needed is
[tex]n+6>20[/tex]
Subtract -6 from both sides
[tex]\Rightarrow n+6-6>20-6\\\Rightarrow n>14[/tex]
Therefore, option (j) is correct.
-4x+2=-13 solve for x
Answer:
x = 3.75
Step-by-step explanation:
-4x + 2 = -13
-4x = -13 - 2
-4x = -15
x = 3.75
Answer:
-13
Step-by-step explanation:
just think about it
which is the solutions to the system of equations shown { 3x - y = 6 and here is the other equation{ x - 2y = -18
Answer:
(6, 12)
Step-by-step explanation:
{ 3x - y = 6
{ x - 2y = -18
by using elimination:
6x -2y=12
x - 2y= -18
________-
5x = 30
x = 6
y = 18-6 = 12
the solutions = {(6, 12)}
A three-dimensional model of Arthur’s apartment is shown below.
A rectangular prism is shown. The base of the prism has dimensions of 13 feet by 25 feet. A rectangular prism is cut out of the side of the larger prism. The smaller prism has base dimensions of 5 feet by 11 feet.
Complete the statements to determine the amount of BTUs needed to properly cool Arthur's apartment.
The total volume of the apartment is
ft3.
An hourly rating of 2.5 BTUs per cubic foot is required, so
.
Arthur needs an air conditioner that will provide
BTUs to properly cool his apartment.
Answer:
The total volume of the apartment is
✔ 2,160
An hourly rating of 2.5 BTUs per cubic foot is required, so
✔ multiply the total volume by 2.5
Arthur needs an air conditioner that will provide
✔ 5,400
BTUs to properly cool his apartment.
Step-by-step explanation:
you're welcome
Answer:
2,160
multiply the total volume by 2.5
5,400 BTUs
Step-by-step explanation:
cause said so
What is the supplement of ([dozen sixes] + 80)degrees?
28 degrees
22 degrees
82 degrees
188 degrees
Answer:
28°
Step-by-step explanation:
Supplementary angles sum to 180°
( dozen sixes) + 80
= 12 × 6 + 80
= 72 + 80
= 152°
supplement = 180° - 152° = 28°
PLS HELP ILL MARK BRAINLIST
Answer:
76 m²
Step-by-step explanation:
The figure has been decomposed into 3 rectangles as shown in the attachment. Therefore:
Area of the figure = area of rectangle 1 + area of rectangle 2 + area of rectangle 3
✔️Area of rectangle 1:
Area = L*W
L = 2 m
W = 4 m
Area = 2*4 = 8 m²
✔️Area of rectangle 2:
Area = L*W
L = 4 m
W = 6 - 4 = 2 m
Area = 4*2 = 8 m²
✔️Area of rectangle 3:
Area = L*W
L = 10 m
W = 6 m
Area = 10*6 = 60 m²
✅Area of the figure = 8 + 8 + 60
= 76 m²
2. In Arabella's homeroom class there are 8 girls and 12 boys, including her. 2 points
One student will be randomly selected to take attendance. What is the
probability that the student will be a girl? (SIMPLIFY) *
2/5
1/2
3/5
2/3
Answer:
the probability is 2/3
Step-by-step explanation:
you want to divide 8 by 12
A silo for storing grain Is shaped like a cylinder with a cone on top the cylinder is 40 feet tall and has a radius of 20 feet the cone is 10 feet tall with the same radius approximately how many cubic feet of grain can fit in the is shaped like a cylinder with a cone on top the cylinder is 40 feet tall and has a radius of 20 feet the cone is 10 feet tall with the same radius approximately how many cubic feet of grain can fit in the
silo
Answer: 54,454 ft^3
The volume of the cylinder is about 50265.4 and the volume of the cone is 4188.7. If you add this together you get 54,454.1. Therefore, 54,454 ft^3 is the answer
Simplify: 10(-5x+4) A 5x + 4 B - 50x + 4 - 50x + 40 5x + 40
Answer:
-50x+40
Step-by-step explanation:
Help ASAP. With lots of points will give brainiest!
I only need help explaining and showing the steps
STRUCTURE Tell whether the triangles are similar.
Answer:
yes it's similar triangle because it has same shape but size is not equal
If you fold the number line so that the vertical crease goes through 0,the points you label would match up explain why this happens
Answer:
When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves.
Step-by-step explanation:
When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves. and this causes the points labelled on either side of the number line to match up with with the points on the opposite side
please help im very confused
Answer:
option D : 130°
Step-by-step explanation:
m∠2 = m∠7 = 130° , (corresponding angles)
Find the measure of the missing angle.
A
43°
Help ASAP plz
Answer:
47
Step-by-step explanation:
The missing angle is complementary to the angle shown and together they from 90.
Your missing angle is 90 - 43
hello guys I am with another new question-- 5√6=what? who answers will get!!
Answer: 12.24744871
Hope this helps!!! :)
Hooooooyooo I need help
Given:
The height of the triangular prism is 15 cm.
The side lengths of the base are 3 cm, 4 cm and 5 cm.
To find:
The lateral surface area of the prism.
Solution:
The lateral surface area of the prism is:
[tex]LSA=Ph[/tex]
Where, P is the perimeter of base and h is the height of the prism.
We know that the perimeter of base is the sum of all sides of the base.
The perimeter of the prism is (3+4+5) cm and the height of the prism is 15 cm.
So, the lateral surface area of the prism is:
[tex]LSA=(3+4+5)\times 15[/tex]
[tex]LSA=(12)\times 15[/tex]
[tex]LSA=180[/tex]
Therefore, the lateral surface area of the prism is 180 square cm.
Laura has rectangular piece of wood that is 8 inches by 5.She wants to cover the top of the piece of wood with strips of ribbon that are 1/5 inch wide
What length of ribbon does she need to cover the top piece of wood?
Answer:
Laura will need 40 inches of string for this project.
Step-by-step explanation:
Divide 1/5 inch/strip into 8 inches:
8
------- = 40 inches
(1/5)
what is 13 over 4 multiplied by 3 over 2
Answer:
so this is the correct answer right
Answer:
[tex]\frac{39}{8}[/tex]
Step-by-step explanation:
Multiply the numerators: [tex]13*3= 39[/tex]
Multiply the denominators: [tex]4*2=8[/tex]
Final answer: [tex]\frac{39}{8}[/tex]
It is in simplest form, by the way.
a square garden plot has an area of 828 square feet. what is th eexact value of the one side of the garden
Answer:
B - 6sqrt(23) ft.
Step-by-step explanation:
Area = (Side)^2 = 828.
Side = sqrt(828) = sqrt(36*23) = 6 sqrt(23).
So B - 6sqrt(23) ft.
Mark me as Brainliest if this is correct! I really appreciate it! :D
867 runners entered a race. 276 more entered before
the race started. How many runners are in the race?
A
1,143
B
591
1,043
D
239,292
Answer:
a
Step-by-step explanation:
calculator
WHAT IS THUS PEOPLE
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Answer:
x=67
y=40
The angles equal 63 and 117
Step-by-step explanation:
88% sure
solve b=3/4 a
a+b=21
Answer:
20.25
Step-by-step explanation:
21-3/4=20.25
Answer:
Step-by-step explanation:
a+b=21
a=21-b
b=3/4*a
b=3/4*(21-b)
b=3(21-b)/4
b=63-3b/4
4*b=63-3b
4b+3b=63
7b=63
b=63/7
b=9
Matti built a greenhouse in his backyard as shown below. A triangular prism with a rectangular base. The prism has a base of 7 feet by 15 feet. The height is 7 feet. The side lengths are 7.8 feet. How much cubic space is in Matti's greenhouse? 191.1 ft 367.5 ft 382.2 ft 735.0 ft
Answer:
Capacity of Matti's green house = 367.5 cubic feet
Step-by-step explanation:
Given:
Base Width and Length = 7 feet by 15 feet
Height of prism = 7 feet
Find:
Capacity of Matti's green house
Computation:
Capacity of Matti's green house = Volume of rectangular base[triangular prism]
Volume of rectangular base[triangular prism] = Area of triangular base x Height
Capacity of Matti's green house = [(1/2)(7)(7)][15]
Capacity of Matti's green house = [(1/2)(49)][15]
Capacity of Matti's green house = [(24.5)][15]
Capacity of Matti's green house = 367.5 cubic feet
Answer:
367.5 Cubic ft3
Step-by-step explanation:
Just look at the other persons explanation
(Please give them brainliest)
help find value of x and Angle HIK
Answer:
4) x = 19
Part B = 37
Step-by-step explanation:
These 2 angles are equal to each other because they're vertical angles.
4x + 67 = 143
4x = 143 - 67
4x = 76
x = 19
m<HIK:
180 - 143 (because it's supplementary to m<GIK)
37
GEOMETRY HELP ASAP !!!!
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
copy the above onto your computer for future reference
sin(g) = 420/427
tan(z) = 77/420
cos(z) = 420/427
sin(m) = 427/427
part (E) the sin of any right angle will be 1 :)
Answer:
Solution given:
Sin G=opposite/hypotenuse=420/427
TanZ=Opposite/adjacent=77/420
CosZ=adjacent/hypotenuse=420/427
Sin M=opposite/hypotenuse=427/427=1