: Consider the distance from the school to the coffee shop and the
distance from the library to the coffee shop. Draw their respective
line segments in the above graph. If the school is relocated in a
way that it is collinear to the coffee shop and the library, and the
distance to the coffee shop is preserved, then the point
representing the school will partition the line segment from the
coffee shop to the library in a x: y ratio. What are the values of x
and y?
Answer:
x = 7 and y = 1
Step-by-step explanation:
Coordinates of Coffee shop = (12, 16)
Coordinates of Library = (16, 8)
School has been shifted to the new position so that distance of school is preserved from the coffee shop.
Coordinates of the new position of school = (15, 10)
Ratio in which distance between coffee shop and library is divided by the location of school is x : y.
If a segment having extreme ends [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is divided into two parts by point (x, y) in the ratio of m : n,
x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]
y = [tex]\frac{my_2+ny_1}{m+n}[/tex]
From the points given in the picture,
15 = [tex]\frac{16x+8y}{x+y}[/tex]
15x + 15y = 16x + 8y
15y - 8y = 16x - 15x
7y = x
[tex]\frac{x}{y}=\frac{7}{1}[/tex]
Therefore, x = 7 and y = 1 will be the answer.
Where is the mistake? 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20
Answer:
12
Step-by-step explanation:
ds
Answer: There is no mistake
Step-by-step explanation:
pls help me its timed and for a grade I really struggle with this.
Answer:
scalene
Step-by-step explanation:
you can tell by the shape
There are 5.2 x 10^5 words in the English dictionary. What is the average number of words recorded under each of the 26 letters? Give your answer in scientific notation.
Answer:
2.0*10^4
Step-by-step explanation:
[tex]5.2 *10^5[/tex] words
26 categories
[tex]\frac{5.2 *10^5}{26} =\frac{520 000}{26} =20 000[/tex]
[tex]2.0*10^4[/tex]
so there is an average of 2.0*10^4 words per letter
write an equation in slope-intercept form for the line passing through each pair of points. (-4,-2) and (2,3)
Answer:
y = 5/6x +4/3
Step-by-step explanation:
The 2-point form of the equation for a line is a useful place to start.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (3 -(-2))/(2 -(-4))(x -(-4)) -2
y = 5/6(x +4) -2
y = 5/6x +20/6 -12/6
y = 5/6x +4/3
A car rental agency intentionally off of the car that can go 304 mile
Answer:
is it complete question if it is not complete give question in comment bar i would try to solve it.
Midpoint of (-8,7) and (-9,11)
Answer:
(-8.5,9)
Step-by-step explanation:
((-8+(-9))/2=-8.5
(7+11)/2=9
(-8.5,9)
Answer:
(-8.5, 9)
Step-by-step explanation:
use midpoint formula
(-8 + -9) ÷2 , (7 + 11) ÷ 2
-17 ÷ 2 , 18 ÷ 2
-8.5 , 9
so the coordinates of the midpoint are (-8.5, 9)
3
-
5
A. 0.6
B. 3.5
C. 1.667
D. 0.65
Answer:
A 0.6
Step-by-step explanation:
the fraction is 3/5 so if you do the eqation 3 divided by 5 u will get 0.6
Answer:
A
Step-by-step explanation:
3/5 is equal to 6/10. 6/10 is equal to 0.6, It's just in fraction form. If you want to, you can write it as "60/100" to make it easier to look at.
I hope this helps you :)
Find another real number that is between the pair of numbers: 8,10
Answer:
9
Step-by-step explanation:
1, 2, 3, 4, 5, 6, 7, 8, , 10
in the space comes 9!
Which expression is equivalent to 21 - (-5) ?
A: 21 - 5
B: -21 + 5
C: 21 + 5
D: -21 - 5
Answer:
C: 21 + 5
Step-by-step explanation:
21 - (-5)
21 + 5
Distribute the '-' into the '-5'. You would get positive 5.
Option C should be the correct answer.
Hope this helps.
How do you do number 15?
Answer:
11 x 11 = 121
Step-by-step explanation:
11 squared means we must multiply 11 and 11. People often mistaken squared by multiplying a number by two.
Hope this helps!
A car traveled 180 kilometers in 3 hours.which stamens bets describes the distance traveled by the car per hour ?
Answer:
the car traveled 60 kph
Step-by-step explanation:
180 km / 3 hours = 60kpm
(not sure if that's how kilometers per hour is written, I am used to miles per hour.)
69. 18 + x = 43
How do you do this ? Please help
Answer:
x=-26.18
Step-by-step explanation:
69.18+x=43
-69.18 -69.18
x=-26.18
One of the main reasons why individuals make investments based on their future
financial needs is to do which of the following?
Answer:
Secure a future for upcoming generation
point a is at (1 5) and point c is at (-5 -7) find the coordinates of point b on ab such that ac is 6 times as long as ab
Answer:
b=(0,3)
Step-by-step explanation:
1. Frank drives from Adams to Harrison which is a distance of 310 miles. He then travels to Perryton which is 40 miles from Harrison. If it takes him 5 hours to complete the entire trip, how fast is he traveling if he is traveling at a constant rate of speed?
Answer:
70 mph
Step-by-step explanation:
The total number of miles Frank traveled is 350 miles (Adams>Harrison=310, Harrison>Perryton(10)= 350)
350 divided by 5 is 70.
Therefore he was going 70 mph.
:)Hope that helped!
Find MP.
MN=17
NP=3y
MP=5y+9
Answer:
[tex] MP = 29 [/tex]
Step-by-step explanation:
Given:
[tex] MN = 17 [/tex]
[tex] NP = 3y [/tex]
[tex] MP = 5y + 9 [/tex]
[tex] MN + NP = MP [/tex] (segment addition postulate)
[tex] 17 + 3y = 5y + 9 [/tex] (substitution)
[tex] 3y = 5y + 9 - 17 [/tex] (subtracting 17 from each side)
[tex] 3y = 5y + 8 [/tex]
[tex] 3y - 5y = 5y - 8 - 5y [/tex] (Subtracting 5y from both sides)
[tex] -2y = 5y - 8 - 5y [/tex]
[tex] -2y = - 8 [/tex]
[tex] y = 4 [/tex] (dividing both sides by -2)
[tex] MP = 5y + 9 [/tex]
Plug in the value of y
[tex] MP = 5(4) + 9 = 20 + 9 [/tex]
[tex] MP = 29 [/tex]
Find x
-x = 7x - 56
Answer:
the answer is 7
Step-by-step explanation:
Add the same term to both sides of the equation
-x=7x-56
−x=7x−56
−x−7x=7x−56−7x
What is the slope of the line ?
Answer:
1
Step-by-step explanation:
I need help with numbers 4 and 5.
Which is a valid proportion? 3 over 4 = 21 over 28
5 over 6 = 29 over 30
4 over 7 = 16 over 49
Two-fifths = 12 over 15
Answer: I think that it is the first one
How many solutions does this equation have? 3s − 8 = 2s
3s - 8 = 2s
First, let's subtract 3s from both sides
-8 = -s
Divide both sides by -1
8 = s
You have one solution which is s = 8
There is only a solution for the given equation 3s − 8 = 2s, s=8.
What is the equation?A mathematical equation is a claim that two expressions, which may contain variables or numbers, are equal. Equations are essential questions, and the main motivations for the development of mathematics have been efforts to methodically find answers to these questions.
It is given that the equation is,3s − 8 = 2s.
In order to find the value of s we have to simplify the given equations by applying the arithmetic operations.
3s - 8 = 2s
3s-2s= +8
s=8
Thus, the number of the solution for the given equation will be 1.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
What is the square root of 8?
Answer:
square root of 8 is 2.82842712475
If you meant 8^2 then it would be 64
Step-by-step explanation:
NEED HELP!!!
Solve each proportion.
Leave your answer as a fraction in simplest form.
Questions in pictures...
Answer:
see explanation
Step-by-step explanation:
(1)
[tex]\frac{6}{2}[/tex] = [tex]\frac{4}{p}[/tex] ( cross- multiply )
6p = 8 ( divide both sides by 6 )
p = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
(2)
[tex]\frac{n}{4}[/tex] = [tex]\frac{8}{7}[/tex] ( cross- multiply )
7n = 32 ( divide both sides by 7 )
n = [tex]\frac{32}{7}[/tex]
(3)
[tex]\frac{5}{3}[/tex] = [tex]\frac{x}{4}[/tex] ( cross- multiply )
3x = 20 ( divide both sides by 3 )
x = [tex]\frac{20}{3}[/tex]
Which rational number could be graphed between –3 and –4? A number line going from negative 5 to positive 3 in increments of 1. Negative StartFraction 8 Over 2 EndFraction –3.75 Negative StartFraction 11 Over 4 EndFraction –2.25
Answer:
The answer is B!
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i did the quiz on E2020
help pls m? find the QW
Answer:42
Step-by-step explanation:eh i just eyeballed it
Answer:
The answer is d, 23. This is because the whole line is 65, and the part that QW is not is 42. If you want to find QW, subtract 42 from 65, which is 23.
Step-by-step explanation:
Solve for v -4(-5v+3)-v=4(v-3)-9
Answer:
v= -.6
Step-by-step explanation:
-4(-5v+3)-v=4(v-3)-9
20v-12-v=4v-12-9
15v=-9
v=-.6
please help me solve this problem
Answer:
1/2 im pretty sure
Step-by-step explanation:
How to write a mixed number in science notation [tex]45\frac{3}{8}[/tex]
Answer:
[tex]4.5375*10^1[/tex]
Step-by-step explanation:
The long division for 3/8 results in getting 0.375, so 45 3/8 is 45.375.
From here, the only thing you can really do is divide it by 10 to get
4.5375 and since you can't divide further, the answer would be
4.5375 * 10^1
4. Simplify the expression: 7r_6+4r + 7 = 5x+r A. 2,5 B. 141 C. 12, + 5+1 D. 124 + 47+1
Answer:
Step-by-step explanation:
7R - 6 + 4R + 7 = 5X + R
A. 2,5
B. 141
C. 12, + 5+1
D. 124 + 47+1
THE ANSWER IS
11R + 1 = 5X + R
