Answer:
Use the distance formula;
d = SQR[(x2 - x1)^2 + (y2 - y1)^2]
d = 10 and (x2, y2) = (-4, 5)
10 = SQR[(-4 - x1)^2 + (5 - y1)^2]
Step-by-step explanation:
Jody and her friends are playing a game in which the person who scores closest to zero points after three rounds wins! Jody's friend Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round. Jody scored 10 points in the first round and lost 4 points in the second round. What will Jody need to score in the third round to win the game? (3 points)
Answer:
Jody needs to lose the third round by 6 points to win the game.
Step-by-step explanation:
The rule of the game is the person who scores closest to zero points after three rounds win.
Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.
So, total points for Robyn = 5-8+4=1
So, the magnitude of the closeness of Robyn's score from zero
=|1-0|=1
Jody scored 10 points in the first round and lost 4 points in the second round.
Let Jody score x point in the third round.
Total points for Jody= 10-4+x=6+x
So, the magnitude of the closeness of Jody's score from zero
=|6+x-0|=|6+x|
The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e
|6+x|<1
Case 1: If [tex]x\geq -6[/tex],
6+x<1
[tex]\Rightarrow x<-5[/tex], which is not possible for this case.
Case 2: If [tex]x\leq -6[/tex],
-(6+x)<1
[tex]\Rightarrow x+6>1[/tex]
[tex]\Rightarrow x>-5[/tex]
For this case [tex]x= -6[/tex] is the only possibility.
So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.
Order the numbers from least to greatest. -6.6, 5.8, 6 3/4, 4.45 Explain your steps
Answer:-6.6, 4.45, 5.8, 6 3/4
Step-by-step explanation:
The weight W of an aluminum flatboat varies directly with the length L of the boat. If a 6-foot boat weighs 102 pounds, then what is the weight of a 11-foot boat? The weight of a 11-foot boat is nothing pounds
Answer:
The 11 foot boat ways 187 pounds
Step-by-step explanation:
102 / 6 = 17
17 * 11 = 187
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the distributive property to factor the expression.
2
k
+
10
Answer:
Step-by-step explanation:
2k+10 | Both terms share the common factor two, so you can take it out (divide both terms by 2)
2(k+5) | Now if you use the Distributive Property to double check, you get 2k+ 10 again
how to get 20 dollars by using 25 cents?
please work it out on paper
Answer:
below if you cant read it, it takes 80 quarters
Step-by-step explanation:
Study the equations: f(x) = 6x + 7 g(x) = 4x – 2 What is h(x) = f(x)g(x)? h(x) = 24x2 – 14 h(x) = 24x2 + 40x + 14 h(x) = 24x2 + 16x – 14 h(x) = 24x2 + 12x – 14
Answer:
The value of h(x) = f(x)g(x) is 24x² + 16x – 14.
Step-by-step explanation:
Answer:
C. h(x) = 24x2 + 16x – 14
Step-by-step explanation:
Just answered it on Edge Unit Test. It is correct.
Determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting.
y = - 3x + 5
9x + 3y = 2
Answer:
parallel
Step-by-step explanation:
if you convert the second equation it will be y=-3x+2/3, meaning they have the same slope making them parallel
if 3n-4=8 then what is the value of 5n-3
1.What is the slope of the function shown on the graph?
A line is graphed on a four quadrant coordinate plane. The x-axis and the y-axis go from negative 10 to 10 in increments of 1. The line passes through (0, 7) and (4, 2).
A−56
B−54
C−65
D−45
2.A quarry runs a delivery service for crushed stone. The cost to deliver the crushed stone is a flat fee for the delivery and the cost of the crushed stone in terms of weight. The graph of the total cost, C, in dollars as a function of the weight, x, in pounds of the crushed stone is shown. What is the meaning of the y-intercept?
A line is graphed on a first quadrant coordinate plane. The horizontal x-axis is labeled Weight in pounds and goes from 0 to 6000 in increments of 200, and the vertical C of x-axis goes from 0 to 500 in increments of 20. The line passes approximately through (0, 120) and (400, 134).
A.The cost of the delivery is $120.
B.The cost of stone dust is $0.035 per pound.
C.The cost of the delivery is $70.
D.The cost of stone dust is $70 per ton.
3.What is the x-intercept of the function f(x) graphed on the coordinate plane?
A line is graphed on a four quadrant coordinate plane. The horizontal axis goes from negative 7 to 7 in increments of 1, and the vertical axis goes from negative 7 to 7 in increments of 1. From left to right, a straight line passes through (0, 1) and (2, 0).
A−2
B−1
C2
D1
Answer:
1) B - 5/4
2) A. The cost of delivery is $120
3) C 2
Step-by-step explanation:
1) The given parameters are;
The demarcations on the x-axis = -10 to 10
The demarcations on the y-axis = -10 to 10
The coordinates of two points on the graph are (0. 7), and (4, 2)
The slope, m, of a graph is given by the following equation;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given that (x₁, y₁) = (0. 7) and (x₂, y₂) = (4, 2), we have;
[tex]Slope, \, m =\dfrac{2-7}{4-0} = -\dfrac{5}{4}[/tex]
The slope, m = -5/4
Taking B. as = -5/4
2. The given information are;
The nature of the cost of delivery of crushed stone = Cost of delivery, A
The function, f, for the cost of crushed stone of mass, x is the cost C, f(x) = C = m × x + A
Whereby the the graph of the total cost of the crushed stone is a straight line graph, we have;
C = m × x + A
At the y-intercept, x = 0, we have;
C[tex]_{(y-intercept)}[/tex] = m × 0 + A
C[tex]_{(y-intercept)}[/tex] = A = Cost of delivery
The points on the line are;
(0, 120) and (400, 134), therefore, the slope, m, is given as follows;
[tex]Slope, \, m =\dfrac{134-120}{400-0} = \dfrac{14}{400} = 0.035[/tex]
We have;
(C - 134) = 0.035×(x - 400)
C = 0.035·x - 14 + 134 = 0.035·x + 120
C = 0.035·x + 120
At the y-intercept, x = 0, we have;
C[tex]_{(y-intercept)}[/tex] = 0.035 × 0 + 120
C[tex]_{(y-intercept)}[/tex] = 120 = Cost of delivery
Therefore, the cost at the y-intercept = The cost of delivery = $120
3. The coordinates of points on the graph are;
(0, 1) and (2, 0)
The slope, m = (0 - 1)/(2 - 0) = -1/2
The equation of the line in point slope form is given as follows;
(y - 0) = -1/2 × (x - 2)
y = -x/2 + 1
The x-intercept occurs at the point y = 0, which is presented as follows;
0 = -x/2 + 1
-x/2 = -1
x = -1 × (-2) = 2
x = 2
Therefore, the y-intercept occurs at x = 2.
The correct option is
C 2
A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second. For which of these rules does y represent the altitude of the hot air balloon, if x represents the number of seconds since the pilot started her landing?
Answer:
The answer is "150 seconds".
Step-by-step explanation:
[tex]\to distance = 300 \ meter\\\\\to speed = 2 \ \frac{m}{s} \\\\\ formula: \\\\ \bold{speed = \frac{distance}{time}}\\\\[/tex]
[tex]time= \frac{distance}{speed}\\\\[/tex]
[tex]=\frac{300}{2}\\\\=150 \ seconds[/tex]
A ramp is 50 feet long and has a 6° incline. A second ramp is 30 feet long and runs parallel to the first ramp. To determine the vector representing the shorter ramp, what scalar must be multiplied to the vector representing the first ramp? a scalar less than –1 a scalar between –1 and 0 a scalar between 0 and 1 a scalar greater than 1
Answer:
a scalar between 0 and 1
Step-by-step explanation:
i just took the test on EdG. :)
To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
To answer the question, we need to know what scalars and vectors are
What are scalars?These are variables that have only magnitude.
What are vectors?These are variables that have both magnitude and direction.
Now since the first ramp is 50 feet long and has a 6° incline and the second ramp is 30 feet long and runs parallel to the first ramp. We see that the magnitude of the first ramp is greater than that of the second ramp.
So, to obtain a vector representing the second ramp from that of the first ramp, we multiply by a scalar which will be between 0 and 1, since, the magnitude of the first ramp vector is greater than the magnitude second ramp vector.
So, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
Learn more about vectors here:
https://brainly.com/question/25705666
#SPJ2
0.52 divided by 0.0013
Answer:
400
Step-by-step explanation:
Write the product as a power.
10 X 10 X 10 =
Answer:
10^3
Step-by-step explanation:
Answer:
10^3
Step-by-step explanation:
count how many 10s are there and that is the answer
(there are 3 tens so put the power as 3)
To check 10 X 10 X 10 is 1000
10^3 is 1000
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
see below
Step-by-step explanation:
shape LNMP is :
translated as 0,-7 flip of mirrored along y-axis reflected imaged is ABCD as givenCan someone please help me please asap ?? I’ll mark brainlist !!!
Answer:
C
Step-by-step explanation:
Lisa went to the hardware store and bought 12 pieces rope. Each rope was 3/4 of a meter long. If the rope cost $3.50 a meter, how much did she spend?
Answer:
(B) 31.5
Step-by-step explanation:
Ms. Pecho currently owes $637.50 simple interest
on a loan of $2500 at an annual interest rate of
17%. How long has she had the loan?
Answer:
Step-by-step explanation:1
1/2 years which is 1 year and 5 months.
Explanation:
The formula for simple interest is
You can either substitute the given values first and the solve for
T, or you can transpose the formula to have
T as the subject.
T=100xSIPR
T=100 x 637.50
T=100×637.502500×17
T=1.5
As time is always in years, this means it was for
112 years which is 1 year and 5
months
Combine the like terms to create an equivalent expression:
-3z-z
The ratios 5 : 3 and 10: 6 ARE equivalent ratios. Which ratio is NOT equivalent to BOTH original ratios?
A. 15: 12
B. 30: 18
C. 15: 9
D. 20: 12
Group of answer choices
C
A
B
D
MATH
7TH GRADE
Answer:
A
Step-by-step explanation:
30:18 /6 =5/3
15:9 /3 =5/3
20:12 /2 =5/3
Answer:
free points
Step-by-step explanation:
thanks sis
I need helppppp rightttt nowwwwww
Answer:
ruler(×,y)=(20,20)
Step-by-step explanation:
sorry if its wrong
anyways are you using a mac?
Simplify 9 to the 2nd power\ 9 to the 7th power
Answer:
9^2/9^7 = 9^-5
Step-by-step explanation:
Consider the function rule: y = 9x – 7
What is the value of y when x=4?
What is the value
Can you guys help please!! Due very soon!
the y-intercept is at (0,2) where it's touching the y-axis. That's why it's called y-intercept.
Hope thishelps!
can someone help me with this
2x+4y+3z=6
x-2y+z=-5
-x-3y-2z=-7
solve for x,y,z
Answer:
x = -7 2/3, y = 1 1/3 and z = 5 1/3.
Step-by-step explanation:
2x+4y+3z=6 ..... 1
x-2y+z=-5 ...... 2
-x-3y-2z=-7 .......3
Add equations 2 and 3 to eliminate x:
-5y - z = -12 .....4
Multiply equation 2 by - 2:
-2x + 4y - 2z = 10
Add this to equation 1:
8y + z = 16 ........ 5
Now add equation 4 to equation 5:
3y = 4
y = 4/3 = 1 1/3.
Now find z by substituting for y in equation 4:
-5(4/3) - z = -12
z = 12 - 20/3
z = 36/3 - 20/3 = 16/3 = 5 1/3.
Finally, we find x by substituting for y and z in equation 1:
2x + 4*4/3 + 3*16/3 = 6
2x = 6 - 16/3 - 16
2x = 18/3 - 16/3 - 48/3 = -46/3
x = 23/3 = 7 2/3.
can someone help me with this
Which of the following is equal to the expression listed below?
24 + 18
A.
6 + (4 × 3)
B.
6(4 + 3)
C.
(6 + 4)(6 + 3)
D.
(6 × 4)(6 × 3)
Answer:
B
Step-by-step explanation:
Its not (A) because the outcome is 24 x 18
Its not (C) because that would be (10)(9) which is the same as multiplication
Its not (D) because that would be (24)(18) which again is multiplication
We are looking for addition of 24 and 18 which is B
6 x 4= 24
6 x 3=18
24+18
Hope this helps (:
A group of students must collect at least $ 150 to organize a science fair. They have alre that the students should still collect to organize the Science fair? O -210-180-150-120-9060-30 30 60 90 120 150 180 210 -210-180 -150-120-90 90-60-30 0 30 60 90 120 150 180 210 O -210-180-150-120 90 -60-30 0 30 60 90 120 150 180 210 O H -210-180-150-120 90 60 30 0 30 60 90 120 150 180 210
THE ANSWERS (B.) i took the test surprisingly got it right
Answer:
it is b
Step-by-step explanation:
hope it helps
I don't get this...
Answer: The answer is D. 17.9
Step-by-step explanation: Use the equation [tex]c = \sqrt{a^2 +b^2}[/tex] where c represents the triangles hypotenuse and a and b represent the legs of the triangle.
I hope this helps have a great day!
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So first you should remember that....
[tex]a^{2} +b^{2} =c^{2}[/tex]
then you should plug in...
[tex]8^{2}+16^{2}[/tex]
that should equal...
[tex]c^{2}=320[/tex]
Then you should solve the equation now by doing the inverse of the square which is the square root of both sides...
[tex]\sqrt{c^{2} } =\sqrt{320}[/tex]
[tex]c=17.88854382...[/tex]
Then you have to round it to the nearest tenths, which'll give you...
[tex]17.9[/tex]
choice D
need help with questions................
Answer:
not a function
Step-by-step explanation:
you can not have one-to-many
there is two 3 in the X column
: Susan works as a hostess where she makes $8.75 per hour. She also babysits and earns $10.00 per hour. Last week she made $165.00. If she worked 6 hours more as a hostess than she did babysitting, how many hours did she babysit last week?
Answer:
She worked 12 hours as a babysitter and hours 6 as a hostess
Step-by-step explanation:
She woks 6 hours and gets 52.20 as a hostess so if she worked 6 hours as a babysitter then she would make 60 and 165-60=105 and since she worked 6 hours as a baby sitter than she has to work 12 hours as a hostess to make 105 we know that 105+60 =165. Forgive me if I'm wrong but I hope this helps! [creds: cosmicredstone1]