Answer:
6-B, 7-B, 8-A, 9-B, 10-A.
Answer:
6) Letter- B
7) Letter- B
8) Letter- A
9) Letter- B
10) Letter- A
find the distance between the two points (-1,3) and (4,2) ?
Answer:
sqrt(26) units
Step-by-step explanation:
Use the formula d=sqrt((x2-x1)^2 + (y2-y1)^2). d is the distance, and (x1, y1) and (x2, y2) are the points.
d=sqrt((4-(-1))^2 + (2-3)^2)
=sqrt(5^2 + (-1)^2)
=sqrt(25+1)
=sqrt(26)
56 POINTS
Step 1: Analyze the graph.
Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump.
⦁ What are the key aspects of any parabola? What do the key aspects tell you about the graph?
(5 points)
⦁ What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)
Step 2: Solve for coefficient a.
⦁ What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)
⦁ Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)
⦁ What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)
Answer:
Step 1:
What are the key aspects of any parabola? What do the key aspects tell you about the graph?
(5 points)
0=a(4-24)^2+50
-50=a(4-24)^2
4-24
-20^2=400
-50=a(400)
-50=400a
-50/400=-0.125
a = -0.125
B.) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)
The roots and vertex, you can find the vertex by using vertex form y=a(x-h)^2+k. You find the roots by solving the quadratic equation.
Step 2: Solve for coefficient a.
a.) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)
f(x) = a(x-h)^2 +k
b.) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)
Not sure about this one...?
c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)
f(x)=-12/25(x-25)^2+32
The equation of Daredevil Danny's jump in vertex form is y = -0.32(x - 25)^2 + 32
The key aspects of the graphThe graph that completes the question is added as an attachment
These are the vertex and the intercepts of the graph.
The intercepts tell us about when the time of flight and the time of landing, while the vertex tell about the maximum height of Danny's jump.
From the graph, we have:
Vertex = (25,32)x-intercepts = 15 and 35The value of the coefficient aA quadratic function is represented as:
y = a(x - h)^2 + k
Where:
vertex = (h,k)
So, we have:
y = a(x - 25)^2 + 32
Substitute the value of the x-intercept
0 = a(15 - 25)^2 + 32
Subtract 32 from both sides
a(15 - 25)^2 = -32
Solve for a
a = -0.32
Hence, the value of the coefficient a is -0.32
So, the equation in vertex form is y = -0.32(x - 25)^2 + 32
Read more about quadratic functions at:
https://brainly.com/question/1214333
#SPJ6
Find the percent of change. Round to the nearest whole percent. Joe thought it would take him 74 minutes to complete the job. It actually took him 85 to complete the job.
Answer:
15%
Step-by-step explanation:
plug your numbers to the equation
(85-74)/74 then multiply that by 100
then move the decimal right 2 places
Answer:
15%
First of all, you need to find the difference between 85 min and 74 min.
85-74=11 min
Now, we need to find %increase-
increase/Original *100
11/74*100=
14.8648648649
= 14.8
15% if you were to round.
Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5). On a coordinate plane, an exponential function decreases from quadrant 3 to quadrant 4 and approaches y = 0 in quadrant 3. It crosses the y-axis at (0, negative 2) and goes through (1, negative 5). On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first quadrant. It goes through the y-axis at (0, 2) and goes through (negative 1, 5). On a coordinate plane, an exponential function increases from quadrant 3 to quadrant 4 and approaches y = 0. It goes through (negative 1, negative 5) and crosses the y-axis at (0, negative 2).
The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).
The function f(x) is given as:
[tex]f(x) = 2(0.4)^x[/tex]
The rule of reflection over the y-axis is:[tex](x,y) \to (-x,y)[/tex]
This means that:
[tex]g(x) =f(-x)[/tex]
Substitute -x for x in f(x)[tex]f(-x) = 2(0.4)^{-x}[/tex]
Substitute the expression for f(-x) in the above equation [tex]g(x) =f(-x)[/tex][tex]g(x) = 2(0.4)^{-x}[/tex]
Hence, the graph of g(x) is graph (a)
Read more about function transformation at:
https://brainly.com/question/12619643
Re-Write the quadratic function below in standard Form
y = 5(x+3)(x-4)
I NEED HELP ( this is the semester review thingy and there just introducing me to angels, not even a lesson :( )
Find the measure of angle x in the figure below
35°
48°
69°
78°
Answer:
Step-by-step explanation:
So we know that a straight line adds up to 180 degrees.
This means that:
52+59+y = 180
y + 111 = 180
y = 69
We also know a triangle also adds up to 180 degrees.
This means that:
y+x+63 = 180
69+63+x = 180
x + 132 = 180
x = 48
Find the constant of proportionality.
Use the constant of proportionality to write a unit rate for the data in the table.
Write an equation to represent the relationship between time, t, and distance, d. i will give brainliest if u help
Answer:
see explanation
Step-by-step explanation:
(a)
constant of proportion = [tex]\frac{d}{t}[/tex] ( d is distance, t is time )
Use any ordered pair from the table
Using d = 225 and t = 5 , then
constant = [tex]\frac{225}{5}[/tex] = 45
(b)
Unit rate is then 45 miles per hour
(c)
The equation relating the quantities is
d = 45t
Answer:
(a)
constant of proportion = ( d is distance, t is time )
Use any ordered pair from the table
Using d = 225 and t = 5 , then
constant = = 45
(b)
Unit rate is then 45 miles per hour
(c)
The equation relating the quantities is
d = 45t
11. The ratio of men to women at a track meet is 4:5. If there are 20 men at the meet, use a proportion to determine how many people are at the meet.
Answer:
There are 36 people at the meet
Step-by-step explanation:
if the ratio is 4 men to 5 women it means that every time there are 4 men there will be 5 women so its 4/5
and since we know there are 20 men the equation becomes:
4/5 = x/20
so to make 4/5 have 20 as a denominator we multiply by 4/4.
4/5*4/4 = 16/20
So, now we know there are 16 women.
And 16+20 = 36
It tells to round to the nearest hundredth and to only use numbers and decimal points. Please help
Answer:
189.27 ft²
Step-by-step explanation:
Find the area of the rectangle, then the semi-circle, then add the sums.
1.) Rectangle ▭
║A = lw
║A = 10 ⋅ 15
║A = 150
2.) Semi-circle◗
║A = [tex]\frac{1}{2}[/tex](πr²)
║A = [tex]\frac{1}{2}[/tex](π ⋅ 5²)
║A = [tex]\frac{1}{2}[/tex](78.54)
║A = 39.27
3.) Adding sums +
║150 + 39.27 = 189.27
[Your answer should be 189.27 ft²]
A bike trail is 2 2/5 miles long. Rosie rides her bicycle on the bike trail 4 days a week. How many miles does Rosie ride per week?
Answer: Rosie biked 9.6 miles per week because you do 2 2/5 times 4. 2 2/5 becomes 12/5 and you just times it by 4.
Hope it helps! :D
Find the volume of this cube
Answer:
Step-by-step explanation:
This is a cube so the formula for the volume of a square is a³ = Volume
This means:
5³ = V
V = 125in³
Answer:
125 in^3
Step-by-step explanation:
b/c
v=L×w×h
V=5 in×5 in×5 in
v=125 in^3
5.6^2 + 3.8^5 x 8.1^9 + 2.5^7
Help PLeAse
Answer:
1. Y=2
2.A=1.3
5.p=28/3
Step-by-step explanation: make me brainliest
If Mike walked 10 miles in two hours how many miles did he walk in one hour?
Answer:
5 miles
Step-by-step explanation:
10 miles in 2 hours
so the half in 1 hour; 5 miles
Gabriel bought a dog crate shaped like a rectangular prism with the dimensions shown in the model 36x24x30
Answer:
25920
Step-by-step explanation:
you do lxwxh
Plz answer for 25 points
question is in pic but answer choices are
10
6
3
2
Answer:
10 Hope this helps, report the other answer that had this link: fastshorter.ml/5Gh3
Don't listen to that
Step-by-step explanation: I don't post links that are unhelpful, that'll get me in trouble
Find the lateral area of this cone.
Leave your answer in terms of .
15in
12 in
LA = [ ? ]t in
Hint: Lateral Area of a Cone = mre
Where e = slant height
Given:
Radius of the base of the cone = 12 in.
The slant height of the cone = 15 in.
To find:
The lateral surface area of the given cone.
Solution:
The lateral surface area of the cone is:
[tex]LA=\pi rl[/tex]
Where, r is the radius of the base of the cone and h is the slant height of the cone.
Putting [tex]r=12,h=15[/tex], we get
[tex]LA=\pi (12)(15)[/tex]
[tex]LA=180\pi[/tex]
The lateral surface area of the cone is 180π in ² and the missing value for the blank is 180.
Answer:
Lateral is 180π
SURFACE AREA IS 340π
Step-by-step explanation:
Please help!!!!!!!
I’ll mark the correct answer as brainliest!!!!
Answer:
B
Step-by-step explanation:
1200-800+1600+50-105=1945
Answer: B.
The balance starts at $1200. On July 19th, there's an outgoing transfer of $800, so you subtract 800. The remaining balance is 1200-800=$400.
On July 20th, there's an incoming transfer of $1600, so you add that to $400 to get $2000.
On July 23rd, you the account recieves $50 more, so you add that to get $2050.
On July 24th, you have to pay $105, so you subtract that to get $1945.00.
Hope I could help!
First come first served brainiest
Step-by-step explanation:
firat one 50.24
second one 63.585
Ted bought a fishing pole for $35.99, bait for $16.99, and a pair of shorts for $21.99. He had a coupon for 50% off the shorts only. What was the total cost of Ted’s items before tax?
I need the answer help plzzzz :)
Answer:
I think sin would be 330 and Cos would be 60
Step-by-step explanation:
find the value of this expression: |-13|. What do I need to do to find the value?
Answer:
The value is 13
Step-by-step explanation:
[tex]| p |[/tex] Means absolute value. This means no matter the sign of the number (negative or positive) we are just looking for the value of the number
[tex]|-1|=1\\|1|=1[/tex]
Hope this helps:)
HELP ASAP!!? HELP ME PLEASE!! 10 POINTS
Answer:
D) 3x²y
Step-by-step explanation:
Can someone help me with this problem?
Answer and Step-by-step explanation:
Answer is in picture.
We use the cosine trig function (adjacent side over hypotenuse = cos of an angle) to find m.
The angles are split perfectly in half, half of 90, which is 45, so the other angles are 45.
#teamtrees #PAW (Plant And Water)
Can someone please help meee?
Answer:
c.
Step-by-step explanation:
[tex]\sqrt \frac18[/tex]
Step-by-step explanation:
[tex]\sqrt{1/8}[/tex]=[tex]\sqrt{1} /\sqrt{8}[/tex]
[tex]\sqrt{8} =2\sqrt{2}[/tex]
[tex]1/(2\sqrt{2} )[/tex]
if the denominator is a root then multiply itself by itself to get an integer
[tex]1(2\sqrt{2} )/((2\sqrt{2})(2\sqrt{2} ))[/tex]
[tex]\sqrt{2} /4[/tex]
Hope that helps :)
You draw two cards from a standard deck of 52 cards. What is the probability of drawing a face card and then an ace without replacement?
Answer:
3/13. There are 4 aces in the pack so probability of the second draw being an ace = 4/51.
Step-by-step explanation:
there are 32 student in a class 7 sun I'f the ratio of boys and girls is 5:3 find the number of boys and girla
Answer:
there are 20 boys and 12 girls
Find the volume of a box with dimensions: 5 ½ by 8 by
4 ½ inches..
Answer:
178 1/2 inches cube
Step-by-step explanation:
Volume = length * width * height
= 8 1/2 * 5 1/4 * 4
= 17/2 * 21/4 * 4
= 1428 / 8
=357/2
= 178 1/2 inches cube.
Can y’all plz help I will mark u
Answer:
4/8
Step-by-step explanation:
7/8 - 3/8 - 4/8
4/8 + 3/8 = 7/8
n = 4/8
hope this helps
PLSS HELPP
Find the trigonometric ratio as a fraction Tan N =
Find the trigonometric ratio as a fraction Tan L =
Answer:
Tan N = 4 / 3
Tan L = 3 / 4
Step-by-step explanation:
By Pythagoras theorem,
(LN)² = (MN)² + (LM)²
10² = 6² + (LM)²
100 = 36 + (LM)²
(LM)² = 100 - 36
(LM)² = 64
LM = 8
Tan N
= Opposite / Adjacent
= LM / MN
= 8 / 6
= 4 / 3
Tan L
= 1 / Tan N
= 1 / ( 4 / 3 )
= 3 / 4