Given:
Two end points of a line segment are (7,2) and (10,-5).
To find:
The gradient of the given line segment.
Solution:
We know that, gradient of a line segment is the slope of that line segment.
The end points of the line segment are (7,2) and (10,-5), so slope or gradient of the line segment is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-5-2}{10-7}[/tex]
[tex]m=\dfrac{-7}{3}[/tex]
Therefore, the gradient of the given line segment is [tex]\dfrac{-7}{3}[/tex].
b) Stephanie has $200 left over this week, and she wants to contribute to a
charitable cause. She can either feed 20 homeless persons two meals in a day
or she can provide shelter for 10 homeless persons one night. What is the
opportunity cost of Stephanie using all her money to shelter homeless people?
Answer:
she won't have any money herself..?
Which equation represents a proportional relationship? Oy=2(x + 1) Oy=2 o y = 4x + 3 o y = 32x y
Answer:
y=32x shows a proportional relationship.
Step-by-step explanation:
We need to find an equation that shows the proportional relationship.
If x and y are proportional to each other, it will look like,
y = mx
Where
m is constant of proportionality
Out of 4 option, option (4) is y=32x, it shows the proportional relationship where the value of m is equal to 32.
The equation that represents a proportional relationship is y = 32x
What is a proportional relationship?A proportional relationship usually has the form:
y = kx
Where:
y = dependent variable k = constant of proportionality x = independent variableIn this equation: y = 32x
y = dependent variable 32 = constant of proportionality x = independent variableTo learn more about proportional relationship, please check: https://brainly.com/question/1266676
Find the value of 92^6/92^2
Answer:
=92^4 in think
Step-by-step explanation:
Write down the coordinates of point B?
Answer:
The answer is 4,5.
Step-by-step explanation:
Go over 4 times and go up 5, and there is your answer.
A certain ride at an amusement park requires that children be at least 50 inches tall but no more that 65 inches tall. Which of the following absolute values best represents this restriction, where h represents height?
Answer:
|h-57.5| less than or equal to 7.5
Step-by-step explanation:
Since the question states that a child must be 50 and 65 inches, plug in values that are within this range and determine which answer choice gives a TRUE relationship. Choose 60 for h.
Also, I just did it.
25x^3+5x^2+30x+6=0 solve
Answer:
x = -1/5, x = i sqrt(30)/5, x = -i sqrt(30)/5
Step-by-step explanation:
25x^3 + 5x^2 + 30x + 6 = 0
5x^2(5x + 1) + 6(5x + 1) = 0
(5x + 1)(5x^2 + 6) = 0
5x + 1 = 0
5x = -1
x = -1/5
5x^2 + 6 = 0
5x^2 = -6
x^2 = -6/5
x = +/- sqrt(-6/5)
x = +/- i * sqrt(30)/5
x = i sqrt(30)/5 or x = -i sqrt(30)/5
What is the solution to the equation 3c
Answer:
I don’t think its an equation cuase no equal sign so I’m assuming expression
Its already simplified the most
So the simplified version of this is 3c
Write the expression with fewer terms. Explain or show your reasoning.
10−3+2
Answer:
Multiple ways to simplify
7+2 (adding 10 and -3)
10-1 (adding -3 and 2)
12-3 (adding 2 and 10)
Step-by-step explanation:
Hope this helps！
(-9c+7)-(6c-7) what is the answer
Answer:
-15c+14
Step-by-step explanation:
(-9c+7)-(6c-7) (rewrite and remove the parentheses)
-9c+7-6c+ (collect the like terms and calculate)
solution: -15c+14
hope this helps!
A computer is normally $550 but is discounted to $385. What percent of the original price does Mark pay?
Can someone help me?
Answer:
70%
Step-by-step explanation:
385/550 giving you a decimal of 0.7 which is 70%
Which law would you use to simplify the expression x49
Answer:
im not sure hehe
Step-by-step explanation:
power of a quotient?
What is the perimeter of this triangle?
(-4,5)
(8,5)
(8,-4)
A. 36 units
В.
39 units
33 units
D
42 units
Answer:
Perimeter of triangle = 12 + 9 + 15
= 36 units
Therefore, option A is correct.
Step-by-step explanation:
The given points
(-4, 5)(8, 5)(8, -4)From the table, it is clear the side containing the line segment joining the points (-4, 5) and (8, 5) is a straight horizontal line.
Thus, the length of the horizontal distance from the points (-4, 5) and (8, 5) will be:
8-(-4) = 12 units
From the table, it is clear the side containing the line segment joining the points (8, 5) and (8, -4) is a straight vertical line.
Thus, the length of the vertical distance from the points (8, -4) and (8, 5) will be:
5-(-4) = 9
Now, finding the length of the side containing the segment (8, -4) and (-4, 5) using the formula:
[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(-4-8\right)^2+\left(5-\left(-4\right)\right)^2}[/tex]
[tex]=\sqrt{\left(-4-8\right)^2+\left(5+4\right)^2}[/tex]
[tex]=\sqrt{12^2+9^2}[/tex]
[tex]=\sqrt{144+81}[/tex]
[tex]=\sqrt{225}[/tex]
[tex]=\sqrt{15^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]
[tex]=15[/tex]
We know that the Perimeter of a rectangle is the length of all the sides of the triangle. Therefore, combining all the lengths of the line segments
Thus,
Perimeter of triangle = 12 + 9 + 15
= 36 units
Therefore, option A is correct.
write as a rate
4 shirts for every 3 pairs of pants
A:3/4
b:4 shirts/3 pairs of pants
c:3 pairs of pants/4 shirts
d:4/3
Can someone please help :(
Answer:
1st option, (2x, 2y)
Step-by-step explanation:
If we select any random point on Figure S, let's just say the upper right hand corner of the arrow at (2,3), and compare that to the same point but on Figure T, it is now (4,6). By just looking at the two points, we can see that the x and y values of the point we chose from Figure S had to be doubled to get to that point but in Figure T
Find the total cost of a jacket for $55 with a sales tax of 2%
Answer:
$56.10
Step-by-step explanation:
55.00 × .02 = 1.10
55.00 + 1.10 = $56.10
A line passes through the points (4, - 1) and (2,3) what is the slope of the line?
Answer:
3-(-1)/2-4
=4/-2
=-2
slope=-2
There are 5 girls for every 4 boys in the class. What is the ratio of boys and girls?
A. 5 to 4
B. 1 1/4
C. 4 to 5
Answer:
a
Step-by-step explanation:
give branlest pls
ABC has A(-3,6),B(2,1),and C(9,5) as its vertices the length of side AB is units . The length of side BC is ?units . The length of side AC is ? Units .ABC ?
Answer:
The length of side AB is [tex]\sqrt{50}[/tex] units.
The length of side BC is [tex]\sqrt{65}[/tex] units.
The length of side AC is [tex]\sqrt{145}[/tex] units.
Step-by-step explanation:
To find the length of each side, we use the formula for the distance between two points.
Distance between two points:
Points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Side AB:
Points [tex]A(-3,6),B(2,1)[/tex]. So the distance between them is:
[tex]D = \sqrt{(2-(-3))^2 + (1-6)^2} = \sqrt{50}[/tex]
The length of side AB is [tex]\sqrt{50}[/tex] units.
Side BC:
Points [tex]C(9,5),B(2,1)[/tex]. So the distance between them is:
[tex]D = \sqrt{(2-9)^2 + (1-5)^2} = \sqrt{65}[/tex]
The length of side BC is [tex]\sqrt{65}[/tex] units.
Side AC:
Points [tex]A(-3,6),C(9,5)[/tex]. So the distance between them is:
[tex]D = \sqrt{(9-(-3))^2 + (5-6)^2} = \sqrt{145}[/tex]
The length of side AC is [tex]\sqrt{145}[/tex] units.
Why are the two triangles congruent?
Answer:
probably A
Step-by-step explanation:
the two triangles are congruent because of the angle side angle postulate
Fill in the missing sign:-
a) =
b) >
c)
Answer:
the missing sign is for c) is <
Write a equation in slope intercept form
Answer:
[tex]y=\frac{1}{2} x-8[/tex]
Step-by-step explanation:
Slope-intercept form is organized in the form y=mx+b, where m is the slope and b is the y-intercept.
Because we're already given the values, we just have to plug them into the equation.
[tex]y=mx+b\\y=\frac{1}{2} x+(-8)\\y=\frac{1}{2} x-8[/tex]
To graph this equation, first plot a point at (0, -8). This is because the y-intercept is -8, meaning that the line crosses the y-axis when y=-8.
Then, plot the next point using the slope. The slope is equal to the rise/run of the line, or the number of units the line travels upwards / the number of units the line travels to the right. Because the slope is 1/2, we know that for every 2 units a point travels to the right, it goes up by 1 unit.
Please see the picture attached.
I hope this helps!
Forty people are part of a tour group in London. One day 1/2 that group explored downtown London, of that group 2/3,visited the tower of London. What fraction of the group chose to visit the Tower of London that day?
A jar has 250 marbles in it, 40 of which are red. What is the largest sample size we can take from the jar (without replacement) if we want to use the binomial distribution to model the number of red marbles in our sample
Answer:im not forsure
Step-by-step explanation:
Growing up, I never got enough of my favorite side dishes. I even conducted a - survey to prove to my family that they should make more mashed potatoes. In my survey, I found that the ratio of people who prefer mashed potatoes to sweet potato casserole was 7:2. I 18 people preferred sweet potato casserole, how many preferred mashed potatoes? .S
Answer:
63 people prefer mashed potatos
Step-by-step explanation:
18 divided by 2 is 9
7 multiplied by 9 is 63
:)
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
What is the square root of x?
Please help! 20 pts and brainliest!! An isosceles triangle has an angle that measures 124°. Which other angles could be in that isosceles triangle? Choose all that apply. 124, 28, 65, 41
Answer:
Step-by-step explanation:
In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:
124+2x=180
2x=56x=28
Please brainlest!
If you get a raise from $12 per hour to $15 per hour, what is the percent change?
Answer:
25% change
Step-by-step explanation:
(15 - 12) / 12 = 3/12 = 1/4 = 0.25
There are some people in a cinema.
3/5 of the people in the cinema are children
For the children in the cinema,
Number of girls:number of boys = 2:7
Their are 170 girls in the cinema
Work out the number of adults
Answer:
[tex]Adults = 510[/tex]
Step-by-step explanation:
Given
[tex]Children = \frac{3}{5}[/tex]
[tex]Girls:Boys = 2 : 7[/tex]
[tex]Girls = 170[/tex]
Required
Determine the number of adults
First, we need to calculate the number of children
[tex]Girls:Boys = 2 : 7[/tex]
Given that: [tex]Girls = 170[/tex]
Substitute 170 for Girls in [tex]Girls:Boys = 2 : 7[/tex]
[tex]170 : Boys = 2 : 7[/tex]
Convert to fraction
[tex]\frac{170}{Boys} = \frac{2}{7}[/tex]
Cross Multiply
[tex]Boys * 2 = 170 * 7[/tex]
Divide both sides by 2
[tex]Boys = \frac{170 * 7}{2}[/tex]
[tex]Boys = \frac{1190}{2}[/tex]
[tex]Boys = 595[/tex]
So, the number of children are:
[tex]Children = Boys + Girls[/tex]
[tex]Children = 595 + 170[/tex]
[tex]Children = 765[/tex]
Next, we calculate the number of people in the cinema.
[tex]Children = \frac{3}{5} * People[/tex]
Substitute 765 for Children
[tex]765 = \frac{3}{5} * People[/tex]
Make People the subject.
[tex]People = \frac{765 * 5}{3}[/tex]
[tex]People = \frac{3825}{3}[/tex]
[tex]People = 1275[/tex]
If 3/5 are children, then 2/5 are adults.
So:
[tex]Adults = \frac{2}{5} * 1275[/tex]
[tex]Adults = \frac{2* 1275}{5}[/tex]
[tex]Adults = \frac{2550}{5}[/tex]
[tex]Adults = 510[/tex]
how to write 7,-5 into slope intercept form
Answer:
hey actually its i dont know bro help me get some points