Answer:
The coordinates of c are (-3,-2)
Step-by-step explanation:
We have the coordinates of a=(-7,-6) and b=(5,6). We need to find the coordinates of a point c=(x,y) such that:
[tex]d_{ac}=1/3 d_{ab}[/tex]
The coordinates x and y have the same relation as the distance:
[tex]x_{ac}=1/3x_{ab}[/tex]
Or, equivalently:
[tex]x_a-x=\frac{1}{3}(x_a-x_b)[/tex]
Multiplying by 3:
[tex]3x_a-3x=x_a-x_b[/tex]
Operating:
[tex]3x_a-x_a+x_b=3x[/tex]
[tex]2x_a+x_b=3x[/tex]
Dividing by 3:
[tex]x=\frac{2x_a+x_b}{3}[/tex]
Similarly:
[tex]y=\frac{2y_a+y_b}{3}[/tex]
Substituting:
[tex]x=\frac{2*(-7)+5}{3}=-3[/tex]
[tex]y=\frac{2*(-6)+6}{3}=-2[/tex]
The coordinates of c are (-3,-2)
The track at Bronwyn’s school is ¼ mile around. If she can do 3 laps in 4 ½ minutes,
how fast is she running in miles per hour?
if a plot of land contains a rectangular array of 102 strawberries plants, how many rows are in the array if there are 34 plants in each row?
Combine and simplify the following radical expression. 3^ square root 6 x 3^ square root 4
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[tex] {3}^{ \sqrt{6} } \times {3}^{ \sqrt{4} } = [/tex]
[tex] {3}^{ \sqrt{6} } \times {3}^{2} = [/tex]
[tex] {3}^{ \sqrt{6} + 2 } = {3}^{2 + \sqrt{6} } [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Freida earns $5.25 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 48 hours?
Answer:
Total earned= $273
Step-by-step explanation:
Giving the following information:
Regular labor hours= $5.25
Overtime labor hours= $5.25*1.5= $7.875
To calculate the total earned, we need to use the following formula:
Regular labor hours= 40*5.25= 210
Overtime labor hours= 8*7.875= 63
Total earned= 210 + 63
Total earned= $273
D'Andrea and Eden had a sit-up contest. D'Andrea did 176 sit-ups in 4 minutes. Eden did 215 sit-ups in 5 minutes. Which athlete did the most sit-ups per minute?
Answer:
Eden
Step-by-step explanation:
Answer:
it has D'Andrea
Step-by-step explanation:
Because here we are using direct variation and the formula is y=kx and k=y/x. I used k=y/x You divide 176 by 4 and you'll get 44 that's D'Andrea and the you divide 215 by 5 and you get 43 for Eden. you can see you does more sit up
12/75=x/120 What is x?
Answer:
x = 18
Step-by-step explanation:
Answer:
19.2
Step-by-step explanation:
120/75=1.6
12 times 1.6=19.2
109 is 63% of what? Thx.
Answer:
109 is 63% of 173.02
Step-by-step explanation:
Let 109 = 63% of x
Thus;
63/100 * x = 109
63x = 10900
x = 10,900/63
x = 173.02
help plzzzzzz it should be easy
Answer:
uh
Step-by-step explanation:
l
Answer
1.< 2.>
Step-by-step explanation:
1. 9x4/5= 7.2<9
2. 4x6/5= 4.8>4
Simplify the expression: 3(q + 11) - 4
Answer:
8
Step-by-step explanation:
can you help me solve this question?
The y intercept is 4. M=2/3
Two numbers are opposites are 12 units apart. What are the two numbers? Answer smaller number, larger number
Answer:
-6, 6
Explanation:
-6 - 6 = -12
Ms. Geetha said that 60 of her total students will compete in the Math Olympics. If 60 is 20% of her students, how many total students does she have?
Answer:
300 students
Step-by-step explanation:
There are two ways to solve this question.
Way Number 160 is 20% of the total students
20÷100= 0.2
60÷0.2=300
Therefore there are 300 students
Way Number 260 is 20% of the total students
60/20 = x/100
x= 60*100÷20
x= 6000÷20
x= 300
Therefore there are 300 students.
What is the slope, y-intercept, and equation of a line given the points (-4, 0) and (1, 5)?
Slope:
y-intercept:
Equation:
Answer:
[tex]Slope: 1\\y-Intercept: 4\\Equation: y = x + 4[/tex]
Step-by-step explanation:
Given two points, we can find the equation of the line between them with the following:
[tex]y = mx + b\\m = \frac{y_2-y_1}{x_2-x_1}[/tex]
First, we can calculate m, or slope
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{5-0}{1-(-4)} = \frac{5}{5} = 1[/tex]
Next we can use the top equation and solve for b, the y-intercept
[tex]y = mx + b\\y = x + b\\5 = (1) + b\\b = 4\\\\y = x + 4[/tex]
[tex]Slope: 1\\y-Intercept: 4\\Equation: y = x + 4[/tex]
What is the solution to the equation 5x−2=2x+13
Answer:
X=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
5x-2=2x+13
-2x -2x
3x-2=13
+2 +2
3x=15
divide 15 by 3.
if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?
Answer:
$119, $7.
Step-by-step explanation:
First, we need to find the unit rate of pay, in dollars.
Divide $35 by 5 to get $7 per hour.
Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.
By doing this, we get the answer: $119.
Hope this helps! Let me know.
4.5x10^2 in standard notation
Answer:
450
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS!!!!
Answer: B) 2(x + 3) - 1
Answer:
I think its answer b
Step-by-step explanation:
in not sure what the question is asking but b is the only answer equal to 2z+5. Im not sure if thats right though. check it on m a t h way.
Factorise x cube -2x square -5x plus 6
Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
On another day, Martin bought 123
5
pounds of grapes for a picnic. His friend bought 3
8
of that amount. Use compatible fractions to estimate how many pounds of grapes Martin’s friend bought.
123
5
→
3
8
→
Martin's friend bought about
pounds of grapes.
Answer:
The answer is 123
5
→
✔ 12 1/2
3
8
→
✔ 1/2
Martin's friend bought about
✔ 6 ¼
pounds of grapes.
The number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
What is fraction?Fractions are used to represent smaller pieces (or parts) of a whole.
Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.
Therefore, the amount that his friend bought will be:
= 3/8 × 12 3/5
= 3/8 × 63/5
= 189/40
= [tex]4\frac{29}{40}[/tex]
Hence, the number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
Learn more about fraction on:
brainly.com/question/9695343
#SPJ6
Reasoning How can you find the slope of the
line that passes through the points (0, 0) and
(2, 4)? Explain.
I WILL MARK AS BRAINLIEST!!!!
Answer:
1. 795, 23
2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins
3. $276, 71 cars
Step-by-step explanation:
1. your equation: y = 35x + 235
plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235
you get y = 795
for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x
your equation: 1024 = 35x + 235
solve to get x = 22.54
this rounds up to 23, so your answer is 23
2. multiply 8 times 4 to get 32
subtract 32 from 82 to fin how many she has left
you get 50
for the second part, divide 82 by 4 to find how many day it will take to finish her candy
you get 20.5
so no, she will not have candy to share with her cousins, and she will finish her candy on November 21
3. for this, you have a negative y intercept since you need to make $24 to start profiting
your equation: y = 6x - 24
plug in 50 to x: y = 6(50) - 24
you get y = 276
so you make $276 with 50 cars
for the second part, plug in 400 to y: 400 = 6x - 24
solve to get x = 70.66
this rounds up to 71, so your answer is 71
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Step-by-step explanation:
okay
38 marbles are shared between John, David and Paul so that John gets twice as many as David. Paul gets 5 only. How many marbles does john get?
Answer:
11
Step-by-step explanation:
The total number of marbles John gets is 22 and this can be determined by forming the linear equation with help of the given data.
Given :
38 marbles are shared between John, David, and Paul so that John gets twice as many as David. Paul gets 5 only.The following steps can be used in order to determine the total number of marbles john gets:
Step 1 - Let the total number of marbles John have to be 'x', let the total number of marbles David have to be 'y', and let the total number of marbles Paul have to be 'z'.
Step 2 - So, the linear equation that represents the total number of marbles is:
x + y + z = 38 --- (1)
Step 3 - According to the given data, John gets twice as many as David, that is:
x = 2y --- (2)
Step 4 - According to the given data, Paul gets only 5 marbles, that is:
z = 5 --- (3)
Step 5 - Substitute the value of x and z in equation (1).
2y + y + 5 = 38
Simplify the above equation.
3y + 5 = 38
3y = 33
y = 11
Step 6 - Substitute the value of y in equation (2).
x = 2(11)
x = 22
So, the total number of marbles John gets is 22.
For more information, refer to the link given below:
https://brainly.com/question/11897796
At the local pet store, zebra fish cost $2.00 each and neon tetras cost $1.90 each. If Ernesto bought 11 fish for a total cost of $21.50, not including tax, how many of each type of fish did he buy?
Answer:Break it into 2 shapes.
A rectangle: 8 x 7 = 56 square inches.
A triangle: 1/2 x 3 x 4 = 6 square inches.
Total: 56 + 6 = 62 square inches.
Step-by-step explanation:
How can properties of operations be used to add expressions?
triangle TCL is similar to triangle AEN. solve for x and y
Answer:
y = 6.7
x = 8
Step-by-step explanation:
3^2 + 6*2 = y
√9 + 36 = y
6.7 = y
10^2 = 6^2 + x
100 = 36 + x
100 (-36) = 36 (-36) +x
√64 = x
8 = x
Write this statement as a conditional statement in the form “if p, then q.”
A ray divides an angle into two congruent angles. So, the ray is an angle bisector.
Answer:
if a ray divides an angle into two congruent angles, then the ray is an angle bisector.
Step-by-step explanation:
if p statement is before the comma, called the hypothesis of the conditional statement.
then q statement is after the comma and it is called the conclusion of the conditional statement.
Kelsey is a stock broker. She earns 11% commission each week.Last week she sold $7200 worth of stocks. How much did she make last week in commission? if she averages the same amount each week how much did she make in commission in 2011?
Answer:
$792 last week's commission.
$41,184 for 2011
Step-by-step explanation:
11% of 7200 is = $792
$792 times 52 weeks in a year is $41,184
please answerrr this is a college course im taking
Mrs. Hartley gave her students a choice
board with 16 projects in which they each
had to pick three. How many ways could a
student choose three projects?
A. 560
C. 2,304
D. 3,360
B. 48
Answer:
B) 48
Step-by-step explanation:
16 x 3 = 48
what is the solution for 2x-5=7
Answer:
x = 12
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
1. Add 5 to both sides.
2x = 7 + 5
2. Simplify 7+5 to 12.
2x = 12
3. Divide both sides by 22.
x = 12/2
4. Simplify 12/2 to 6
x = 6