Answer:
x = -2 + 2√2 i and -2 - 2√2 i
Step-by-step explanation:
Given the function, y=-x^2+4x-12
x intercept occurs at y = 0
Substitute y = 0
0=-x^2+4x-12
x^2 - 4x + 12 = 0
Factorize
x = -4±√4²-4(12)/2
x = -4±√16-48/2
x = -4±√-32/2
x = -4 ± √32 i/2
x = -4+4√2 i/2 and x =-4-4√2 i/2
x = -2 + 2√2 i and -2 - 2√2 i
Which other parts must be equal for triangle ABC= triangle MTR by
Answer:
see below
Step-by-step explanation:
ASA stands for Angle-side-Angle
thus, for ∆ABC[tex]\cong[/tex]∆MTR
[tex] \displaystyle \angle C \cong \angle R[/tex]
SAS stands for Side-angle-Side
thus,for ∆ABC[tex]\cong[/tex]∆MTR
[tex] \displaystyle \overline{ MR }\cong \overline{MT}[/tex]
likewise,
AAS stands for Angle-Angle-Side
thus,for ∆ABC[tex]\cong[/tex]∆MTR
[tex] \displaystyle \angle M \cong \angle T[/tex]
Tabitha was shooting free throws in gym class. She completed 7 of the shots, which was a third of 4 more than Joan completed. What is the number of free throws, n, that Joan completed?]
Answer:
17
Step-by-step explanation:
the following equation can be derived from the question
7 = 1/3(4 + n)
multiply both sides of the question by 3
21 = 4 + n
combine like terms
21 - 4 = n
n = 17
What is the length of the missing leg?
Answer:
Hello! answer: 6
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10 so therefore a = 6 Hope that helps!
if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food
Answer:
90 calories
Step-by-step explanation:
Calories : quantity of food
there are 300 calories in 100 g of a certain food
300 calories : 100 g food
how many calories are there in a 30 g portion of food
Let x = number of calories
x calories : 30 g food
Equate both ratios
300 calories : 100 g food = x calories : 30 g food
300/100 = x/30
300 * 30 = 100 * x
9000 = 100x
x = 9000/100
x = 90
x = number of calories = 90 calories
In ΔQRS, the measure of ∠S=90°, SR = 45, QS = 28, and RQ = 53. What is the value of the tangent of ∠Q to the nearest hundredth?
Answer:
Aprox: 1.61
Step-by-step explanation:
TOA: Tan Q = Opposite/Adjacent = 45/28 ---> 1.61
Answer:
28/45≈1.6071≈1.61
Step-by-step explanation:
Which expression is equivalent to (x^1/2y^-1/4z)^-2
Answer:
[tex]\sqrt{y}[/tex] ÷ xz²
Step-by-step explanation:
multiply the exponent of 'x' by -2 to get -1
multiply the exponent of 'y' by -2 to get 1/2
multiply the exponent of 'z' by -2 to get -2
= (x^-1)(y^1/2)(z^-2)
= 1/x · [tex]\sqrt{y}[/tex] · 1/z²
= [tex]\sqrt{y}[/tex] / xz²
What is the length of the missing leg?
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
15^2+a^2=17^2
a^2=289-225
a^2=64
a=[tex]\sqrt{64}[/tex]
a=8
1. Find the value of y when x = 3.
y = 3(x+7) + 12
A Ferris wheel car moves from point C to point D on the circle shown below:
Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees. The diameter is 15 feet.
What is the arc length the car traveled, to the nearest hundredth?
5.89 feet
6.23 feet
7.46 feet
8.15 feet
Answer:
5.89 feet.
Step-by-step explanation:
I just took the test :)
The arc length the car traveled, to the nearest hundredth is 5.88 feet, the correct option is A.
What is a Circle?A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.
The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.
A Ferris wheel car moves from point C to point D on the circle.
Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees.
The diameter is 15 feet.
The arc length is determined by using the formula
L = ( [tex]\rm \theta[/tex]/ 360) * 2 π r
L = ( 45 / 360) * 2 * 3.14 * r
r = diameter / 2
r = 15/2 = 7.5 ft
L = ( 45 / 360) * 2 * 3.14 * 7.5)
L = 5.8875 ft
L = 5.89 feet.
To know more about Circle
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Please HELP ME ASAP quick
3 trips-
2 * 2 = 4
3 * 2 = 6
5 * 2 = 10
Therefore, working together, the squirrels would only collect 20 acorns during two trips.
This means they would need to take three trips to collect 24 acorns with a remainder of 6 acorns.
2 * 3 = 6
3 * 3 = 9
3 * 5 = 15
30
30-24 = 6
NEED HELP PLSSSS I DONT KNOW THE ANSWER
Answer:
[ 3 , ∞ ) Set-Builder Notation:
{ x | x ≥ 3 }
Step-by-step explanation:
3.
A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each colour is
red: green : blue =
12:5:2
There are 112 more red marbles than green marbles.
Work out the number of blue marbles.
Answer:
32
Step-by-step explanation:
Since there is 112 more red marbles than green marbles,
7 units= 112
1 unit= 112÷7= 16
2 units(no. of blue marbles)=16×2=32
What is the estimate of 35214
Answer:
4000
Step-by-step explanation:
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
Compare the two box plots to determine where Kevin should plan to go for vacation. Which statement is true?
Resort A gets more snowfall than Resort B.
Resort A gets between 250 and 400 inches of snow each year.
Resort B gets more snowfall than Resort A.
Resort B gets between 250 and 350 inches of snow each year.
Answer:
The answer is C (Resort B gets more snowfall than Resort A)
Step-by-step explanation:
According to the diagram, Resort A gets 375 inches of Snowfall, and Resort B gets 400. 375 < 400
What is the slope of the line?
PLEASE HELP!
Answer:
0
Step-by-step explanation:
horozontal lines are always 0
i hope im not wrong, sorry if i am but im 90% sure im right
Which mathematical property is demonstrated below? 3 + 0 = 3
Identity Property
Indemnify Property
Idiocy Property
Idolatry Property
Answer:
IDENTITY PROPERTY i hope it is helpful plz marks me branily9514 1404 393
Answer:
Identity Property
Step-by-step explanation:
The identity property of addition is illustrated.
The identity element is 0. It is the additive identity element because the original value retains its identity when 0 is added.
Can you help find the ratio?
Answer:
here you go (could i maybe get the crown thing)
Step-by-step explanation:
ok so we have to take a look and see what kind of ratio this is going to be
so we look and it shows its SIN (o/h)
so what that means is that A= o/h
o=12 and h=22
so your answer would be A=12/22
The school's basketball team lost 4 times as many games as they won. They also tied 5 fewer games than they won.
If they played 43 games, how many did they lose?
А.
36
B. 32
C. 28
D. 24
E. 20
Answer:
a.36
Step-by-step explanation:
tie is not sure of winning or lose
so,5 tied may consider as lose too
PLS HELPPP
Select the representations that do not change the location of the point (9,100°)
a. (-9,280°)
b. (-9,260°)
c.(-9,-80°)
d.(9,-260°)
Answer:
d. (9,-260°)
Step-by-step explanation:
100° = 100-360 = -260°
please help i have to leave soon!! will give brainliest and no links hurry plezzz
Answer:
1/18
Step-by-step explanation:
There are 2 ways to get the sum of 11
5,6 and 6,5
therefore 2/36=1/18
How many blocks having 2m² volume of each are there in a wall having volume 600m³?
9514 1404 393
Answer:
300 blocks
Step-by-step explanation:
The number of blocks is ...
(600 m³)/(2 m³/block) = 600/2 blocks = 300 blocks
Please help with this
Answer:
C and D
Step-by-step explanation:
an input gives one output
determine the value of x
Answer:
12x-4 =80
12x =84
x. =7 ,,
2.5 km= M
Help me please
Answer:
2,500
Step-by-step explanation:
Have a good day :)
find the value of x and y
Answer:
5 = y
6.5 = x
Step-by-step explanation:
Since all the angles are the same, you can determine that all the sides are the same lengths.
8 = y + 3
8 - 3 = y
5 = y
8 = 2x - 5
8 + 5 = 2x
13 = 2x
13/2 = x
6.5 = x
Answer:
2x - 5 = 8
+5 +5
2x = 13
Divide by 2 on both sides:
X = 6.5
Y + 3 = 8
-3 -3
Y = 5
They must equal 8 since all sides are the same.
Look at the two 2s in this number
Answer: What number?
Step-by-step explanation:
Answer:
In what number... is this a trick question or did you just not finish your question??
Step-by-step explanation:
PLEASE HELLLLPPPPPP PLEASSEEEE I A BEGGGING YOU
Answer:
-2 2/5
Step-by-step explanation:
At a carnival game, the chance of winning a prize is 0.45. Kylee plays the game 3 times. Using the table, what is the probability that she wins at least 1 prize? (Table shown in attached image)
A.) 0.41
B.) 0.58
C.) 0.83
D.) 0.91
Answer:
I think the answer is C 0.83 based on the math I did
Step-by-step explanation:
The probability of winning one prize in 3 attempts is P = 0.41, so the correct option is A.
How to find the probability?
We know that the probability of winning a prize is 0.45, then the probability of not winning a prize is:
q = 1 - 0.45 = 0.55
Out of 3 attempts, the probability of winning one prize is:
P(1) = (0.45)*(0.55)^2*p
where p is the number of permutations, you can win on the first attempt, second attempt, or third attempt, so there are 3 permutations.
Then the probability is:
P(1) = (0.45)*(0.55)^2*3 = 0.41
So the correct option is A.
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
use the picture to find each of the following
[tex] \large{ \tt{☄ANSWERS \: + \: REASONS}} : [/tex]
[tex] \large{ \tt{ \angle \: 7 = \boxed{ \tt{38 \degree}}}} \: ( \text{Being \: alternate \: angles)}[/tex][tex] \large{ \tt{38 \degree + \angle 4 = 180 \degree}}( \text{Sum \: of \: co - interior \: angles}[/tex][tex] \: \: \: \: \: \large{ \tt{ ↦\angle \: 4 = 180 \degree - 38 \degree = \boxed{ \tt{142 \degree}}}}[/tex]
[tex] \large{ \tt{ \angle \: 1 = \angle \: 4 = \boxed{ \tt{142 \degree}( \text{Being \: vertical \: angles)}}}}[/tex][tex] \large{ \tt{ \angle \: 8 = \angle \: 4 = \boxed{ \tt{142 \degree} \text{(Being \: corresponding \: angles)}}}}[/tex][tex] \large{ \tt{ \angle \: 6 = \angle \: 1 = \boxed{ \tt{142 \degree} \text{(Being \:corresponding \: angles) }}}}[/tex][tex] \large {\tt{ \angle \: 2 = \boxed{\tt{38 \degree}}\text{(Being \: corresponding \: angles)}}}[/tex][tex] \large{ \tt{ \angle \: 3 = \boxed{\tt{38 \degree} }\text{(Being \: alternate \: angles)}}}[/tex]
[tex] \large{ \tt{✺ \: TIPS} }: [/tex]
If you have planned for study at 8:00 and now it's 8:05 then don't wait for 9 : 00 , Start studying that subject right now ! ♪[tex] \large{ \tt{❃ \: LEARN \: ABOUT \: ALTERNATE \: , CORRESPONDING\:AND \: CO - INTERIOR \: ANGLES}} : [/tex]
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Answer:
(2) angle EZD = angle AZB (vertically opposite angles)
angle EZD = 90 degree
(3) angle DXC = 180 - 143 (Linear Pair axioms)
= 37 degree
Hope u understand
Please mark as brainliest
Thank You
The measure <EZD = 90°
The measure <DXC = 37°
I hope you understand....
This is a Right answer....