Two skaters are practicing at the same time on the same rink. A coordinate grid is superimposed on the ice. One skater follows the path y = −2x + 32, while the other skater follows the curve y = −2x2 + 18x. Find all points where they might collide if they are not careful.
Answer:
The skaters will collide at the points;
(2,28) and (4,24)
Step-by-step explanation:
The points they might collide will be the points when both y are equal;
-2x + 32 = -2x^2 + 18x
2x^2 -18x -2x + 32 = 0
2x^2 -20x + 32 = 0
2x^2 - 16x - 4x + 32 = 0
2x(x -8) -4( x -8) = 0
(2x -4)(x -8) = 0
2x = 4 or x = 8
x = 4/2 or x = 8
hence; x = 2 or 8
Now let’s get the y value
at x = 2, just substitute into any of the 2
y = -2x + 32
y = -2(2) + 32
y = -4 + 32 = 28
at x = 4
y = -2(4) + 32
y = -8 + 32
y = 24
The points that they will collide are;
(2,28) and (4,24)
Answer:
They will collide at (2,28),(8,16)
Step-by-step explanation:
savaas
Evaluate the following expression when a = -3, b = 2,c=5, and
d= -4.
5ac - 26
Answer:
-101
Step-by-step explanation:
5ac - 26
5 × -3 × 5 - 26 (since a = -3 & c = 5, you substitute them)
-15 × 5 - 26
- 75 - 26
- 101
I hope this is helpful.
Frank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. Frank would like to know how long it will take him to complete the remaining 455 miles, assuming he maintains the same constant speed. Help Frank determine how long the remainder of the trip will take. Include a table or diagram to support your answer
Answer:
10.6 hours
Step-by-step explanation:
which three points in the figure are collinear?
Answer:
A, D, and E
Step-by-step explanation:
A, D, and E all fall on the same line, therefore, they are all collinear.
The figure shown is reflected over the x-axis, then reflected
over the y-axis, and then translated 3 units right.
Which graph best represents the new position of the figure
after the three transformations?
Select one:
Answer:
grapgh?????
Step-by-step explanation:
7r - 15/s
When r = 3 and s = 5
Answer:
18
Step-by-step explanation:
7r - 15/s
First step: Substitute
7(3) - 15/5
21 - 3
21 - 3 = 18
what is the exact value of tan(9pi/8)
Answer:
The second one: sqrt 2 - 1
Step-by-step explanation:
Answer:
B. [tex]\sqrt{2} -1[/tex]
Step-by-step explanation:
16 2/3% of 21.6 is?
Answer:
21
Step-by-step explanation:
please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
10
Step-by-step explanation:
Round 23,487 to the nearest ten. PLEASE HELP I WILL BRAINEST ASAP
Answer:
23,490
Step-by-step explanation:
15. The length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is
about 100 times longer than Yvette's cell phone screen. What is the approximate
length of the movie theater screen?
Answer:
it would 35 feet long 100x0.35
The length of the movie theater will be 35 feet.
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, we can write the expressions as -
2x + 3y + 5
3y + 5
5 + 6
Given is that the length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is about 100 times longer than Yvette's cell phone screen.
Scale factor is defined as the ratio of final dimensions to the initial dimensions of the given image.
Mathematically, we can write -
{K} = final dimensions/initial dimensions
In the question given, the scale factor is -{K} = 100.
Assume the length of the movie theater to be {x}. So, we can write -
{x} = 0.35 x 100
{x} = 35/100 x 100
{x} = 35 feet
Therefore, the length of the movie theater will be 35 feet.
To solve more questions on algebraic expression , visit the link below -
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a company packages fruit baskets of different weights and ships them to customers. the company charges a flat fee for packaging the baskets. the total packaging and shipping cost in dollars, y, of a fruit basket weighing x pounds is represented by the line on the graph below. (1 point at (3, 10) another at (6, 16))
what is the y intercept of the line on the graph
Answer:
4
Step-by-step explanation:
The y-intercept of any given graph is always the value of the y of the point where the line of the graph intercepts or cut across the y-axis. It is the value of y when x = 0.
In this case, the y-intercept of the line of the graph above is y = 4. At y = 4, x = 0.
It represents the flat fee the company charges for packaging the baskets = $4.
What is the value for y in the following expression y=-2x+8 when x=20
Answer:
y = -32Step-by-step explanation:
[tex]y=-2x+8\\\\x=20[/tex]
Substitute ; x =20 in given equation
[tex]y =-2(20 )+8\\\\y = -40+8\\\\y = -32[/tex]
which is the following solution to
x-13<18
Answer:
X < 31
Step-by-step explanation:
Answer: X<31
Hope this helps!
Can someone please help me
Answer:
x, 4 y, 3, z2
Step-by-step explanation:
Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
322 - 5w2
Answer:
282
Step-by-step explanation:
322- 5(4)2
322-40
282
7 to the 3rd power as a multiplication of factors is
Answer:
7*7*7
Step-by-step explanation:
7^3=7*7*7
hope this helps
Answer:
7×7×7= 343
Step-by-step explanation:
the answer is 343.
anya bought 1.3 pounds of apples. She used 0.28 pound in a pie. How much is left? Use the bar diagram to help you
Answer:
1.02 pounds left
Step-by-step explanation:
Skip the bar graph, just subtract .28 from .30 and voila!
A vet measured the mass of two birds. The mass of the robin was 76.58 grams. The mass of the blue jay was 81.05 grams.
Estimate the difference in the masses of the birds.
The estimated difference in masses of the two birds is grams.
Answer:
a) 4.47
b) 4.47 g
Step-by-step explanation:
The masses of the birds are given as;
The mass of the robin =76.58 grams.
The mass of the blue jay = 81.05 grams.
Difference in the masses of the birds is : 81.05 - 76.58 =4.47
Difference in masses of the two birds is grams is : 81.05g - 76.58g =4.47g
Name the subset(s) of real numbers to which the number belongs.
−1.57
A. integer only
B. rational only
C. irrational and rational
D. rational and integer
HELP PLEASEE!!!! ASAP which of the following is the slope of any line perpendicular to the line with equation 2x + y - 3 = 0
Answer:
m perpendicular = −3 / 2
Step-by-step explanation:
y = m x+b
where m represents the slope and b, the y-intercept.
−3 y = −2 x + 5
divide all terms by - 3
−3 y − 3 = − 2 − 3 x + 5 − 3
y = 23 x − 53
in slope-intercept form
slope = m = 23
The slope of a perpendicular line is the
negative reciprocal of m
Segment KJ = 8, JI = x+6 and KI = 2x+8.
8
X + 6
K.
1
J
2x + 8
Find the values below. Be sure to show all your work.
a. Find x. [Respond Here]
b. Find the length of KI. [Respond Here]
Answer:
a). x = 6
b). Length of KI = 20 units
Step-by-step explanation:
From the picture attached,
a). Length of KI = length of KJ + length of JI
By substituting lengths of the segments given in the picture,
(2x + 8) = 8 + (x + 6)
2x + 8 = x + 14
2x - x = 14 - 8
x = 6
b). Length of KI = (2x + 8)
By substituting x = 6 in the expression,
Length of KI = 2(6) + 8
= 12 + 8
= 20 units
Square root of 244 simplified radicals
Answer:
Exact Form:
2√61
Decimal Form:
15.62049935…
Step-by-step explanation:
I think lol
Please help me solve this problem!
Answer:
The line would be a diagonal line that is negative(pointing down).
You can use Desmos Graphing Calculator to help you even more! :)
Please help with this and explain your answer and how you got it.
Answer:
V=48
Step-by-step explanation:
V=whl
V=2*3*8
V=48
Hope this helps! :) Plz mark as brainliest
The art class lasts 90 minutes. The teacher explains the project for 25 minutes and allows 15 minutes for questions and discussion. He talks to each student about their project for 5 minutes and then all of the class time is used up. Write and evaluate the expression that shows how many students are in the class.
Answer:
dunno if you still need this but the answer is (90-25-15)÷5
Step-by-step explanation:
Which of the following is a possible value for X
Answer:
E)3
Step-by-step explanation:
4/3-1=2
3+1/2=2
First, You cross multiply.
(x - 1)(x + 1) = 8
x^2 - 1 = 8
Now subtract 8 from both sides.
x^2 - 9 = 0
x^2 - 9 is a difference between 2 squares.
(x + 3)(x - 3) = 0
For an equation with only multiplying to be equal to 0, one of its factors must be 0.
So either x + 3 = 0 or x - 3 = 0.
So x could be -3 or 3.
The answer is (E).
Hope this helps!
Jacinth is 4 years older than her sister Naomi. The sum of their ages is 30. How old are the sisters?
Answer:
Jacinth = 17
Naomi = 13
Step-by-step explanation:
they add up to 30 and follow the criteria
Jacinth is 17 years old, and Naomi is 13 years old as per the linear equation method.
Let's assume Naomi's age is x. According to the given information, Jacinth is 4 years older than Naomi, so Jacinth's age would be x + 4.
The sum of their ages is given as 30, so we can write the equation: x + (x + 4) = 30.
Combining like terms, we have 2x + 4 = 30.
Subtracting 4 from both sides, we get 2x = 26.
Dividing both sides by 2, we find x = 13.
Therefore, Naomi's age (x) is 13 years old.
To find Jacinth's age, we substitute the value of x into the equation for Jacinth's age: Jacinth's age = x + 4 = 13 + 4 = 17 years old.
So, Jacinth is 17 years old, and Naomi is 13 years old.
To learn more about the linear equation;
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what else would need to be congruent to show that EFG = HIJ by SSS?
Answer:
EG=HJ
Step-by-step explanation:
The SSS postulate says that if all of the sides lengths of the triangle are given, then the second triangle will be congruent. We are given the side lengths of two sides so that means that we only need the side lengths of the last side.
Answer:
EG=HJ
Step-by-step explanation:
brainliest plz
correct for ap-ex
how different are polynomials from non-polynomials?
Answer:
The polynomials can be identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents. The non-polynomial expressions will be the expressions which contain other operations. Explain why the non-polynomial expressions are not polynomials.