Answer:
a = 2
b = 4
Step-by-step explanation:
Δy = 2x + a.................for turning point, Δy/Δx = 0.
Δx
0 = 2x + a
x = -a/2.........from ( -1, 3), x = -1...............so,
-1 = -a/2.................a = 2.
y = x^2 + ax + b.
y = 3 , a = 2.................substitute.
3 = (-1)^2 + 2(-1) + b
3 = 1 -2 + b
b = 4
Answer:
The turning point of a parabola is the vertex
Vertex form of a quadratic equation: [tex]\sf y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex and a is the coefficient of the variable x²)
Given:
[tex]\sf y=x^2+ax+b[/tex]vertex = (-1, 3)Therefore, a = 1
Substituting a = 1 and the given vertex into the equation:
[tex]\sf \implies y=1(x-(-1))^2+3[/tex]
[tex]\sf \implies y=(x+1)^2+3[/tex]
[tex]\sf \implies y=x^2+2x+1+3[/tex]
[tex]\sf \implies y=x^2+2x+4[/tex]
Therefore, a = 2 and b = 4
Find the area of the rectangle or square 19 3 km and 38.4 km.
Answer:
Area of rectangle is 741.12km^2
Area of square is 1474.56km^2
Step-by-step explanation:
Formula for Area of a rectangle= length x breadth
Area = l x b = 19.3 km x 38.4 km (substitute the numbers)
Area = 741 km^2
OR
Area of square = length x length
Area = l x l = 38.4 x 38.4
Area = 1474.56 km^2
A cone has a volume 8pie cubic inches. And 6in height
What is the radius of the cone?
inches
Answer:
r=1.3in
Step-by-step
hope this helps:)
Please help! will give brainlest!
cscθ is the same as 1/sinθ
Explanation:
csc stands for cosec which is equivalent to 1/sinθ
The expression is thus equal to 1/[sin(4π/3)]
Since we know by consulting the unit circle that sin(4π/3) = - [(√3)/2]
we get the expression 1/[sin(4π/3)] = 1/(-√3/2)
which can be simplified to 1/(-√3/2) = 2/(-√3) = (-2√3)/3
PLEASE HELP. I need to create a roller coaster that consists of at least 4 different degree 3 and above polynomials.the polynomials must be connected to one another without any graphs. It has to be 5-6 minutes long. the start height must be at least 200 feet but no greater than 300 feet. the maximum height of the roller coaster must not be greater than 400 feet. The track must go into an under tunnel that is 20 feet or less at least once. the maximum depth of the tunnel must not be greater that 50 feet. No drop can be too steep. I will give 100 points
Answer:
add it all up
Step-by-step explanation:
Rotate shape A 90° clockwise with centre of rotation (0,0).
What are the coordinates of the vertices of the image?
Answer:
(2,4)====(-4,2)
(4,3)===(-3,4)
(2,3)====(-3,2)
Mathh question helppp
Answer:
60% test score
Step-by-step explanation:
When x is 6, y is 60
During which time period was the ANNUAL rate of increase of the speed the GREATEST
Answer:
1-2
Step-by-step explanation: because it went up in speed by 8 and the rest went up not even to 7
Based on the table, we can deduce that the annual rate of increase of the speed was the greatest: A. from year 1 to year 2.
What is speed?Speed can be defined as the distance covered by an object per unit of time. Thus, speed can be measured as meter per seconds.
Mathematically, speed is given by this formula;
[tex]Speed = \frac{distance}{time}[/tex]
Based on the table, we can deduce that the annual rate of increase of the speed was the greatest from year 1 to year 2.
Rate = 46 - 38 = 8.
Read more on speed here: brainly.com/question/10545161
HELP ME PLS. brainy reward it is about hangers.
The Problem: 20/3x = 5(x+1/2) + 4/3
20/3 , 1/2 , 4/3 are fractions. Solve for x
Answer:
x=23/10
Step-by-step explanation:
the dash is a fraction
true or false and explain or show your reasoning
10-⁵=-10⁵
(10²)-³=(10²)³
10³/10¹⁴=10-¹¹
Answer:
a. False : because 10^-5= 1/10^5 where as -10^5=-1 × 10^5
therefore 1/10^5 not equal to -1×10^5
b. False : because (10^2)^-3 = 100^-3=1/100^3 where as (10^2)^3 = 100^3=1000000 there fore 1/100^3 not equal to 1000000
c. True : because 10^3/10^14=10^(3-14)=10^-11 therefore both left side and right side of the equation are equal
I need help making a proof for geometry! Here is the question I really need help on this question my marking period ends soon!
There are 2 parts I have to make a proof and then I also have to find the measures of AB and AC!
Answer:
Step-by-step explanation:
If angle ABC measures 122, what does angle ADC measure?
Answer:
61
Step-by-step explanation:
angle at centre equals twice that at circumference
f(x) if f(x-2)=2-x
RSM IS KILLING ME HERE
also there's some more like this but if ik how to do this i might be able to figure those out
thanks!
Answer:
[tex]f(x)=-x[/tex]
Step-by-step explanation:
[tex]f(x-2)=2-x[/tex]
To change [tex]f(x - 2)[/tex] into [tex]f(x)[/tex], substitute [tex]x=x+2[/tex]:
[tex]\implies f((x+2)-2)=f(x+2-2)=f(x)[/tex]
Therefore, substitute [tex]x=x+2[/tex] into both sides of [tex]f(x-2)=2-x[/tex]:
[tex]\implies f((x+2)-2)=2-(x+2)[/tex]
[tex]\implies f(x)=-x[/tex]
Let's spot out.
f(x-2)=2-xPut x+2 in place of x
f(x+2-2)=2-(x+2)f(x)=2-x-2f(x)=-x(PLEASE HELP ASAP!! 50 POINTS! question in the image)
Type the correct answer in the box. round your answer to the nearest tenth. events m and n are independent events. in this scenario, if p(m) = 0.46 and p(m and n) = 0.138, then p(n) = .
The probability helps us to know the chances of an event occurring. The probability of event n occurring is 0.3.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
We know that for two independent events the probability of the two events occurring simultaneously is written as,
[tex]P(A \cap B) = P(A)\cdot P(B)[/tex]
Now, as we know the probability of event m occurring also we know the probability of both events occurring simultaneously, therefore, the probability of event n occurring can be written as,
[tex]P(A \cap B) = P(A)\cdot P(B)\\\\P(m \cap n) = P(m)\cdot P(n)\\\\0.138 = 0.46 \times P(n)\\\\P(n) = 0.3[/tex]
Hence, the probability of event n occurring is 0.3.
Learn more about Probability:
https://brainly.com/question/795909
Please help! My teacher says if I don’t get at LEAST an 80 she’ll fail me-
Answer:
5/6, or about 0.833
Step-by-step explanation:
For student 7, the tack landed point up 5 times out of 6. So for student 7, the experimental probability that the tack lands point up is 5/6, or about 0.833.
Writing linear functions
Use the graph or table to write a linear function that relates y to x
Step-by-step explanation:
3. Slope is postive
x1=6
x2=3
y1=10
y2=6
m=6-10/3-6
m=4/3
y=mx+b find b
10=4/3*3+b
10=4+b
b=6
y=4/3x+b
4.slope is zero
y=b
Y=3
please solve this i need help (5 stars to the correct ones) 73.6 ÷ 10
Answer:
0.736
Step-by-step explanation:
Answer:
7.36
Step-by-step explanation:
Calculator...
On a football field, the left and right tackles are lined up on the same yard line. A linebacker is 15 yards away from that yard line. The angles of the lines of sight of the tackles to the linebacker that are made with the yard line are shown in the diagram. Approximately how far apart are the left and right tackles?
Answer:
D. 39.3 yd
Step-by-step explanation:
Left tackle:
tan 35° = 15/x
x = 15/tan 35°
x = 21.42
Right tackle:
tan 40° = 15/x
x = 15/tan 40°
x = 17.88
x + y = 39.3
Answer: D. 39.3 yd
Miranda is calculating her expected expenses for her week long trip to turkey. her flight costs 928 tl (turkish lira), her lodging costs 755 tl, and she has allowed 814 tl for food and spending money. what is miranda’s total? a. 4,762 tl b. 2,497 tl c. 869 tl d. 641 tl
The addition is the process of adding two numbers and the result is the combined value of the two numbers. Miranda's total will be equal to 2497 Turkish lira.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
The total cost will involve the cost of Miranda's flight, her lodging costs, and the cost of food and other such spending. Therefore, her total is the sum of all of this expenses,
Miranda's Total
= cost of flight + lodging costs + cost of food and other spending
= 928 ti + 755 ti + 814 ti
= 2497 ti
Hence, Miranda's total will be equal to 2497 Turkish lira.
Learn more about Addition:
https://brainly.com/question/13167637
Answer: b. 2,497 TL
<3
An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?
A.
4 : 9
B.
8 : 27
C.
9 : 4
D.
27 : 8
Δ MAL and Δ DLA are right triangles. If Δ MAL ≅ ΔDLA, then side DL is congruent to side MA, and ∠ MAL is congruent to ∠ DLA. Given ∠ M is 30 °, side DL is (2x + 10) cm, side MA is (3x – 2) cm, and side AL is (x + 5) cm, answer the following questions below:
What is the measurement of DL?
What is the measurement of AL?
What is the measurement of ∠ DLA?
What is the measurement of ∠ AEL?
Answer:
DL = 34 cm
AL = 17 cm
∠DLA = 60°
∠ADL = 30°
Step-by-step explanation:
Given:
DL = (2x + 10) cmMA = (3x - 2) cmDL ≅ MA
⇒ 2x + 10 = 3x - 2
⇒ 2x + 12 = 3x
⇒ 12 = x
Substituting found value of x into expressions for DL and AL:
DL = 2x + 10
= 2(12) + 10
= 34 cm
AL = x + 5
= 12 + 5
= 17 cm
The only way for ΔMAL to be a right triangle, with MA = 34 cm, AL = 17 cm and ∠M = 30° is if
MA is the hypotenuseAL is the shortest sideGiven:
∠M = ∠D = 30°∠MAL ≅ ∠DLASum of interior angles of a triangle is 180°
⇒ ∠DLA + 30° + 90° = 180°
⇒ ∠DLA + 120° = 180°
⇒ ∠DLA = 60°
As ∠M = ∠D = 30°, then ∠ADL = 30°
Answer:
DL = 34 cmAL = 17 cm∠DLA = 60°∠ADL = 30°Step-by-step explanation:
Given:
DL = (2x + 10) cmMA = (3x - 2) cmDL ≅ MAEquating DL and MA :
⇒ 2x + 10 = 3x - 2
⇒ 2x + 12 = 3x
⇒ x = 12
Finding DL and AL :
DL = 2(12) + 10 = 24 + 10 = 34 cmAL = 12 + 5 = 17 cmFinding ∠DLA :
∠M = ∠D = 30° (corresponding parts of congruent triangles)∠DLA + ∠D + 90° = 180°∠DLA + 30° = 90°∠DLA = 60°Finding ∠ADL :
∠ADL = ∠D∠ADL = 30°Solve this system of equations.
3x + 4y = 36
y = -1/2x + 8
What is x?
Answer: Between 1 and 3.
Step-by-step explanation:
You have to Think about y too, y can be anything, but let's say y is 1. Then x should be 3
x = 4, y = 6
In this case, you can solve the equation by substitution.
3x + 4y = 36
We are given that y = -1/2x + 8
Plug in that value assigned to y.
3x + 4(-1/2x + 8) = 36
3x -2x + 32 = 36
x + 32 = 36
x = 4
Now, we can return back to y
y = -1/2x + 8
y = -1/2(4) + 8
y = -2 + 8
y = 6
What is the circumference of a circle whose radius is 20 feet. Leave awnser in terms of pi
Answer:
40π
Step-by-step explanation:
cricumference: 2πr (or πd)
2π(20) = (40)π ≈ 125.66
Answer: 40
Step-by-step explanation:
First, you have to multiply the radius by 2 which gives us 40. Then, 40 x 3.14 (pi) = 125.6 After, you divide 125.6 by 3.14 which once again gives you 40. :)
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers:
1) [tex]\sf \boxed{1} \ x^2 + \boxed{2} \ x -24[/tex]
2) [tex]\sf \boxed{2} \ x^2+ \boxed{-1} \ x-15[/tex]
3) [tex]\sf \boxed{6} \ x^2+\boxed{19} \ x+10[/tex]
4) [tex]\sf \boxed{2} \ x^2+\boxed{-11} \ x+5[/tex]
solving step wise:
1)
(x+6)(x-4)x² + 6(x) -4(x) -24x² + 2(x) - 242)
(2(x)+5)(x-3)2(x)² - 6(x)+5(x)-152(x)² - x - 153)
(3(x)+2)(2(x)+5)6(x)²+15(x)+4(x)+106(x)² + 19(x)+104)
(2(x)-1)(x-5)2(x)² -10(x)-x+52(x)² -11(x)+5#1
(x+6)(x-4)x(x-4)+6(x-4)x^2-4x+6x-24x^2+2x-24#2
(2x+5)(x-3)2x(x-3)+5(x-3)2x^2-6x+5x-152x^2-x-15#3
(3x+2)(2x+5)3x(2x+5)+2(2x+5)6x^2+15x+4x+106x^2+19x+10#4
(2x-1)(x-5)2x(x-5)-1(x-5)2x^2-10x-x+52x^2-11x+5So far, 907907907 of the 122312231223 voters have agreed to the new amendment.
Based on this data, what is a reasonable estimate of the probability that the next voter does not agree to the new amendment?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{316}{907}
907
316
start fraction, 316, divided by, 907, end fraction
(Choice B)
B
\dfrac{907}{1223}
1223
907
start fraction, 907, divided by, 1223, end fraction
(Choice C)
C
\dfrac{1223}{2130}
2130
1223
start fraction, 1223, divided by, 2130, end fraction
(Choice D)
D
\dfrac{316}{1223}
1223
316
Answer:
I do not know the answer but I need to answer a question to finish logging into brainly
Answer: 316/1223
Step-by-step explanation: I checked on khan
PLEASE HURRY
Solve the inequality and express your answer in interval notation.
x2 + 8x-7<0
can someone help me with this question
Find the value of x? thank you
Answer:
68
Step-by-step explanation:
A 5 sided shape total angles are equal to 540°
150 + 102 + 84 + x + 2x = 540
3x = 540 - 336
3x = 204
x = 68
Kate and Isaac share 495 sweets.
Kate gets 20% more sweets than Isaac
How many sweets does Isaac get?
Answer:
I believe it is 149Step-by-step explanation:
Brianna started watching a movie at 2:45 p.m. If the movie is 2 hours and 32 minutes long, when will it be over?
Answer:
It will be over at 5:17 pm
Step-by-step explanation:
2:45 +32 would be 3:17, we add 2 hours it would be 5:17
Answer:
5:17 pm
Step-by-step explanation:
Since Brianna started watching a movie at 2:45 p.m and the movie is 2 hours and 32 minutes long
Thus,
2:45 + 2 and 32 Minutes
2 + 2 = 4
45 + 32 = 77 minutes
1 Hour = 60 Minutes
Thus, 77 - 60 =17
Hence, 4 + 1 = 5
Thus, the movie will be over at 5:17 Pm
~Lenvy~