Answer:
Part a) The slope of line that passes through the points A (10,4) and B (-2 , -5) is [tex]\mathbf{Slope=\frac{3}{4} }[/tex]
Part b) The slope of line that passes through the points C (-7 ,1) and D (7, 8) is [tex]\mathbf{Slope=\frac{1}{2} }[/tex]
Step-by-step explanation:
Part I: Find the slope of the line that passes through the following points.
Part a)
A (10,4) and B (-2 , -5)
We need to find slope of the line that passes through the given points.
The formula used is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can take any two points and the slope will be same.
I am taking points A (10,4) and B (-2 , -5) and finding slope
We have [tex]x_1=10, y_1=4, x_2=-2,y_2=-5[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-5-4}{-2-10} \\Slope=\frac{-9}{-12}\\ Slope=\frac{3}{4}[/tex]
So, the slope of line that passes through the points A (10,4) and B (-2 , -5) is [tex]\mathbf{Slope=\frac{3}{4} }[/tex]
Part a)
C (-7 ,1) and D (7, 8)
We need to find slope of the line that passes through the given points.
The formula used is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can take any two points and the slope will be same.
I am taking points C (-7 ,1) and D (7, 8) and finding slope
We have [tex]x_1=-7, y_1=1, x_2=7,y_2=8[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{8-1}{7-(-7)} \\Slope=\frac{7}{14}\\ Slope=\frac{1}{2}[/tex]
So, the slope of line that passes through the points C (-7 ,1) and D (7, 8) is [tex]\mathbf{Slope=\frac{1}{2} }[/tex]
The volume of a cube is given by s9 and the total surface area of a cube is given by 632, where s is the side length of the cube.
If the side length of a cube is 5 inches, the volume of the cube is [ ]
cubic inches and its total surface area is[ ]
square inches
BROO HELP ME FAST
Answer:
Surface area of a cube = side * side * 6
632 = side * side * 6
side^2 = 632/6
side^2 = 105.3333333333
side = 10.2632028789
********************************************
For a 5 inch side
volume = 5 * 5 * 5
= 125 cubic inches
surface area = 5 * 5 * 6
surface area = 150 square inches
Step-by-step explanation:
WILL GIVE OUT BRAINLIEST AT LEAST TWO PEOPLE MUST ANSWER!!
-4x + 9 - y + 8x + 2 + 8y + x
FIND CONSTANT-
Answer:
5x+7y+11
Step-by-step explanation:
y = -x + 5
Write in standard form. PLEASE SHOW WORK
Calculate the average times it took the car to travel 0.25 and 0.50 meters. Record the averages, to two decimal places, in Table C of your Student Guide.
What is the average time it took the car to travel 0.25 meters?
seconds
What is the average time it took the car to travel 0.50 meters?
seconds
Answer:
What is the average time it took the car to travel 0.25 meters?
2.23 secondsWhat is the average time it took the car to travel 0.50 meters?
3.13 secondsI hope is work you!!
(1) The first velocity of the car with two washers at the 0.25 meter mark is 0.125 m/s.
(2) The second velocity of the car with two washers at the 0.5 meter mark is 0.25 m/s.
What is velocity?Velocity is the rate of change of displacement with time. The velocity of the cars depends on displacement and time of motion.
First velocity of the car at the 0.25 meter markThe first velocity is calculated as follows;
v1 = 0.25 m / t1
let t₁ = 2 s
v₁ = 0.25/2
v₁ = 0.125 m/s
Second velocity of the car at the 0.5 meter markv2 = 0.25 m / (t2 – t1)
let t₂ = 3 s
v₂ = 0.25(3 - 2)
v₂ = 0.25 m/s
The complete question is below:
Calculate the first and second velocities of the car with two washers attached to the pulley, using the formulas
v1 = 0.25 m / t1, and
v2 = 0.25 m / (t2 – t1)
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Answer: the slop should be -1/2 not sure tho
Step-by-step explanation:
Help please!!
The product of w and twelve as an expression.
Suppose the equation of line s is y=2. What are the coordinates of C' of angle ABC for Rs?
What is the simplified expression for 3^3• 3^3/3^4?
A. 3^0
B.3^1
C.3^2
D.3^4
Answer:
C
Step-by-step explanation:
It is C because multiplying exponents means you add the top number while dividing means subtract.
Answer:
Its C
Step-by-step explanation:
A road is made in such a way that the center of the road is higher off the ground than the sides of the road, in order to allow rainwater to drain. A cross-section of the road can be represented on a graph using the function f(x) = (x – 16)(x + 16), where x represents the distance from the center of the road, in feet. Rounded to the nearest tenth, what is the maximum height of the road, in feet?
0.1
Answer:
2
Step-by-step explanation:
i answered this
I NEED HELP ASAP??
Does this table represent a proportional relationship?
Cans of 5| 10| 6| 9| 2|
paint (x)
Bird houses 15|30|18| 27| 6
painted (y)
Your answer:
Write 968,000 in scientific notation.
A. 968 × 103
B. 96.8 × 102
C. 9.68 × 104
D. 9.68 × 105
I WILL GIVE BRAINLIEST TT
Answer:
2
Step-by-step explanation:
Yeah its 2 I can explain but will be long but if want comment and I will post but most likely its 2
6) Use the distributive property to expand the following expression: 4(6 + x)
Answer:
24+4x
Step-by-step explanation:
4(6)= 24
4(x)= 4x
Does anyone know how to solve this using the methods of interval?
Question 20 of 40
Juan has scores of 85, 83, and 93 on three math
tests. What is Juan's average test score on these
math tests?
85
Answer:
85
Step-by-step explanation:
When my cat likes to run around:
Red- When I call his name.
Yellow- When we are in a rush
Blue- At 3 o'clock in the morning
Answer:
Step-by-step explanation:
5098
Find the zeros of the function.
Enter the solutions from least to greatest.
MY
f(x) = (x – 3)(2x – 8)
Pro
lesser x =
greater x =
Answer:
lesser x =3
greater x=4
lesser x =3
greater x=4
Right now I have a selected but I’m not sure if that’s right please help
Find the slope of the line - type you answer AS A WHOLE NUMBER (NO fraction)
The slope of the line is equal to =
Answer:
2/1
Step-by-step explanation:
Find the area of the isosceles triangle. please help thanks
Answer:
1080 m^2 Don't submit m^2 in your answer.
Step-by-step explanation:
Givens
The catch is to find h
To do that, use a^2 + b^2 = c^2
a b and c are in the same 1/2 triangle.
a = 48/2 = 24 m
b = h = ?
c = 51 meters
Solution
a^2 + b^2 = 51^2 Substitute for b^2 = h^2
24^2 + h^2 = 51^2 Expand 24^2 and 51^2
576 + h^2 = 2601 Subtract 576 from both sides
h^2 = 2601 - 576
h^2 = 2025 Take the square root of both sides
h = 45
Area
Area = 1/2 b * h
Area = 1/2 48 * 45
Area = 1080
Remark
Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.
To find the area, you need to use all of 48 because 48 is the full length of the base.
PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours. Y=mx+b B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job? (Vou should have 9 answers in question 2
Answer:
A: C=45h+30
B: C=$322.50
Step-by-step explanation:
A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.
B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:
C=45h+30
C=45(6.5)+30
Im using a decimal because it should be clear 1/2=0.5
C= 292.5+30
45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30
This results in the answer of:
C=$322.50
Corey gave the cashier a $100 bill for 4 amusement park tickets. The cashier gave him $26.80 change. If each ticket cost the same amount, what was the cost for each amusement park ticket?
Answer:
$18.30
Step-by-step explanation:
100 - 26.80 = 73.20
73.20 / 4 = 18.30
50 Points! The sum of 3 consecutive integers is -51. What are the integers?
Answer: The sum of three consecutive even integers is 24. The integers are 6 (from the x) , 8 (from the x + 2), and 10 (from the x + 4).
Step-by-step explanation:
In order to construct the perpendicular bisector of AB, which statement describes the compass settings and the number of arc intersections needed? A less than half the length of AB : 1 B В. less than half the length of AB : 2 more than half the length of AB : 1 O D more than half the length of AB : 2
Answer:
Answer:
D. More than half the length of AB ; 2 intersections needed
Step-by-step explanation:
Bisection implies dividing a given segment or angle into two equal halves.
To bisect AB, open the radius of the compass more than half the length of AB. With center A, describe an arc at the upper region of AB and below AB. Now, using B as the center, draw a second arc upward and downward to intersect the initial arcs at a point. Join the two points of intersection with a line passing through AB. Thus, AB has been bisected.
Step-by-step explanation:
Events A and B are independent. The probability of A given B has occurred is 0.43, and the probability of B given A has occurred is 0.35.
What is the probability, to the nearest hundredth, that A and B occur?
Answer:
0.43* 0.35 = 0.1505 or 0.15 after rounding
Step-by-step explanation:
Based on the probabilities of A and B occurring with conditions, the probability of A and B occurring is 0.15.
What is the probability that both A and B occur?This can be found by the formula:
= Probability that A occurs if B occurs x Probability of B occurring if A occurs
Solving gives:
= 0.43 x 0.35
= 0.15
In conclusion, the probability is 0.15.
Find out more on independent event probabilities at https://brainly.com/question/7965468.
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help me please i need this answered fast
Answer:
Step-by-step explanation:
the one on the bottom because
the orientation of the points do not change
What is the slope of the line in the graph?
NEED HELP ASAP PLEASE HELP!!!!!!!!
Answer:
x = 3
y = 9
Step-by-step explanation:
It is an equilateral triangle so all sides are equal and all angles are 60°.
This means that 20x = 60 and y=AB=AC=BC=9
From his house, Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house. It is 8 miles from Shane's house to his parents' house and a straight-line distance of 17 miles from his parents' house to his grandparents' house. How far is Shane from his grandparents' house?
Answer:
15 miles
Step-by-step explanation:
It is given that,
Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house.
It is 8 miles from Shane's house to his parents' house and a straight-line distance of 17 miles from his parents' house to his grandparents' house.
It can be calculated by considering a right angled triangle. Using pythagoras theorem, we can find the distance between Shane from his grandparents' house. Let it is d.
[tex]d^2=\sqrt{17^2-8^2} \\\\=15\ \text{miles}[/tex]
Hence, Shane is 15 miles from his grandparents' house.
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Robert and his children went into a bakery where they sell cupcakes for $4.75 each and cookies for $1.25 each. Robert has $50 to spend and must buy no less than 14 cupcakes and cookies altogether. If x represents the number of cupcakes purchased and y represents the number of cookies purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Robert could buy 4 cupcakes and 20 cookies.
Step-by-step explanation:
Robert can buy 4 cupcakes and 20 cookies.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Price for cupcakes= 4.72
Price for cookies= 1.25
Robert has $50 to spend and must buy no less than 14 cupcakes and cookies altogether.
let x represents the number of cupcakes purchased and y represents the number of cookies purchased.
So, x + y ≥ 14
and, 4.75x + 1.25y ≤50
If we locate these inequalities on graph we get the intersection point (4, 20)
Hence, Robert can buy 4 cupcakes and 20 cookies.
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