Answer:
[tex]y-2=\dfrac{1}{2}(x+8)[/tex]
Step-by-step explanation:
It a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is
[tex](y-y_1)=m(x-x_1)[/tex] ....(i)
It is given that line passes through the point (-8,2) and had a slope of 1/2.
We neeed to find the equation in point slope form of the line.
Substitute [tex]x_1=-8,y_1=2\text{ and }m=\dfrac{1}{2}[/tex] in equation (i).
[tex](y-(2))=\dfrac{1}{2}(x-(-8))[/tex]
[tex]y-2=\dfrac{1}{2}(x+8)[/tex]
Therefore, the point slope form of the line is [tex]y-2=\dfrac{1}{2}(x+8)[/tex].
Which colors or color schemes are predominant in this artwork?
A. Complementary
B. Intermediate
C. Cool
D. Warm
Problems 7and 8 50 POINTS
Answer:
To find the area of a rectangle, you do Length times width. 11 times 8 equals 88, so the width would have to be 8. To find the perimeter, you add up all of the sides. If the width is 8, and the perimeter is 46, 8+8=16 and 48-16 = 30 then the length is 15.
Find the equation of a line that intersects with y=2x-1 on the y-axis and is parallel to y=-x.
Please explain.
The equation of the required line is: y=-x-1.
y=2x-1 is in slope intercept form. So the y-intercept = -1.
Given that the line intersects with y=2x-1 on the y-axis. It means the required line also has y-intercpt =b= -1.
Given that: The line is parallel to y=-x.
The slope of y=-x is -1. By comparing with y=mx+b.
Since the lines are parallel. So the required line will also have slope = m= -1.
So the equation of the required line is: y=mx+b or y = -1x + (-1) or y=-x-1.
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sumaya is reading a book with 240 pages.She has already read 90 pages.She plans to read 20 more pages each day until she finishes the book.
a. sumaya writes the equation 330= -20d to find the number of days she will need to finish the book. Identify the areas that sumaya made.
b.Write and solve an equation to determine how many days sumaya will need to finish the book. In your answer, count part of the day as a full day.
What is the slope of the line?
y = -9/10x + -6
Question 8 options:
a) 6
b) 9/10
c) -6
d) -9/10
What are the expressions in factored form?
6x^2 + 4x
4x^2 + 11x + 6
9x^2 - 4
What is the area of rhombus ABCD ? Enter your answer in the box. Do not round at any steps. units² Rhombus A B C D on a coordinate plane with vertex A at 1 comma 0, vertex B at 7 comma negative 2, vertex C at 1 comma negative 4, and vertex D at negative 5 comma negative 2. Point P is at negative 3.8 comma 1.6. Dashed segments join point P to point D and point P to point A, forming right angle D P A.
Answer: 24 Units squared
Step-by-step explanation:
How many 3/4-cup servings are in 1/2 of a cup of milk? Write your answer in simplest form.
What is the value of c? 14=2c−6+3c Enter your answer in the box.
The solution of the equation 14 = 2c − 6 + 3c will be 4.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The equation is given below.
14 = 2c − 6 + 3c
Simplify the equation, then the value of the variable c will be
14 = 2c − 6 + 3c
20 = 5c
c = 20 / 5
c = 4
The solution of the equation 14 = 2c − 6 + 3c will be 4.
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The first four terms of a sequence are given below.
20 , 29 , 38 , 47 , ... What are the next three terms of the sequence?
A catering company loses $110 as a result of delay. The 5 owners of the company must share the loss equally. Which integer represents the change in profit for each owner?
The loss of each owner of the catering company is 22 dollars.
What is average?Average is the sum of the total weights of each individual divided by the number of individuals.
Given that a catering company loses 110 dollars as a result of the delay and the company has 5 owners and they share the loss equally.
As the loss has been shared by the owners equally we have to divide the total loss occurred by the total no. of owners to obtain the amount of loss for each individual which is,
= 110/5 dollars.
= 22 dollars.
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441 is 63% of what number????????????????????????????? help
Lance earned 4 times as much money mowing lawns in July as he did in June. He earned a total of $140 during June and July. How much money did Lance earn in June?
A class is going on a field trip to see a movie. Each ticket is $8.00. The number of students, n, who will receive a $8.00 ticket is proportional to the total cost, C, of all the tickets. Which equation could be used to find the total cost of all the tickets
△EFG≅△JKL. What is m∠K? Enter your answer in the box. ° Two same size triangles. Triangle L J K and triangle E F G. angle F is 62 degrees. Angle G is 53 degrees.
Help me please
If you help me I would appreciate it a lot
Which of the following is the graph of y = 4x + 3?
The outside temperature was 73°f at 1.p.m and decreases at a rate of 1.5°f each hour. What expression can be used to determine the temperature h(h is the variable) hours after 1.p.m?
The expression to represent the temperature 'h' hours after 1 p.m. given an initial temperature of 73°F and a decrease rate of 1.5°F per hour is 73 - 1.5h. This allows us to calculate the temperature at any given hour where 'h' is the number of hours after 1 p.m.
Explanation:The problem involves dealing with linear equations, specifically those representing changes over time. In this situation, the temperature starts at 73°F at beginning of the time, i.e., at 1 pm and then decreases at a steady rate of 1.5°F per hour.
So, the decrease in temperature can be represented by 1.5h, where h is the number of hours elapsed since 1 p.m. As the temperature starts at 73°f, we subtract this decrease from the initial temperature. Therefore, the expression to determine the temperature after h hours is 73 - 1.5h.
This equation tells us that for each hour after 1 p.m., we simply subtract 1.5 from 73 and this would give the temperature at that time. For example, at 2 p.m., h equals 1, and the equation 73 - 1.5(1) gives us 71.5°F.
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Paul's family drove 377 mi to the beach averaging 58 mi/h on the way there. On the return trip home, they averaged 65 mi/h .
What was the total time Paul's family spent driving to and from the beach?
Total time driving to and from beach: 12.3 hours; averaging 58 mph there, 65 mph returning home.
To find the total time Paul's family spent driving to and from the beach, we can calculate the time for each leg of the trip and then add them together.
1. Time taken for the trip to the beach:
[tex]\[ \text{Time}_1 = \frac{\text{Distance}_1}{\text{Speed}_1} \][/tex]
2. Time taken for the return trip:
[tex]\[ \text{Time}_2 = \frac{\text{Distance}_2}{\text{Speed}_2} \][/tex]
Given:
[tex]- Distance to the beach, \( \text{Distance}_1 = 377 \) miles\\- Speed to the beach, \( \text{Speed}_1 = 58 \) mph\\- Speed returning home, \( \text{Speed}_2 = 65 \) mph[/tex]
Let's calculate:
[tex]1. \[ \text{Time}_1 = \frac{377}{58} \][/tex]
[tex]2. \[ \text{Time}_2 = \frac{377}{65} \][/tex]
Now, let's compute:
[tex]\[ \text{Time}_1 = \frac{377}{58} \approx 6.5 \text{ hours} \]\[ \text{Time}_2 = \frac{377}{65} \approx 5.8 \text{ hours} \][/tex]
Finally, to find the total time spent driving to and from the beach, we add these times:
[tex]\[ \text{Total time} = \text{Time}_1 + \text{Time}_2 \]\[ \text{Total time} \approx 6.5 + 5.8 \]\[ \text{Total time} \approx 12.3 \text{ hours} \][/tex]
So, Paul's family spent approximately 12.3 hours driving to and from the beach.
What Are the partial product of 45x5=?
Simplify 5x + 3y - 2x
What is three fourths plus two thirds?
A number x plus 10 is more than 2
On simplification of inequality x + 10 > 2, we get x>-8.
The given question is related to algebra and inequalities.
To solve the inequality 'x + 10 > 2', we need to isolate x.
Subtract 10 from both sides: x + 10 - 10 > 2 - 10.
This simplifies to: x > -8.
The graph of g(x) is a transformation of the graph of f(x)=3x
Enter the equation for g(x) in the box.
Answer:
The given graph is : f(x) = [tex]3^x[/tex]
The graph g(x) is transformation of graph f(x).
The curve g(x) passes through (-2,2) and (-1,4).
Let (a,b) be any point on f(x).After translation new curve g(x) is obtained which is parallel to line, y=1 or asymptode is ,y=1 or when y becomes 1 the graph becomes parallel to x axis.
g(x)= y-1=[tex]3^{x+2}[/tex]
g(x) = y = [tex]3^{x+2} +1[/tex] is the graph of translated curve.
The two graph is depicted below.
Can you give me some problem that’s as to do with slope or rise over run as many as you want plz I need to study for a test that is tomorrow
Answer:
hi im also doing it
Step-by-step explanation:
some 4 u to do
tell me answer after ur done
Factor completely 16a^3b^7 + 2a^6b^4 − 22a^4b^5.
Answer:
[tex]2 a^3 b^4 (a^3 - 11 a b + 8 b^3)[/tex]
Step-by-step explanation:
The given expression is
[tex]16a^3b^7 + 2a^6b^4 -22a^4b^5[/tex]
We need to find the factored form of the given expression.
In the given expression [tex]2 a^3 b^4[/tex] is the greatest common factor of all terms.
Taking GCF we get.
[tex]2 a^3 b^4 (8 b^3+a^3 - 11 a b)[/tex]
In can be written as
[tex]2 a^3 b^4 (a^3 - 11 a b + 8 b^3)[/tex]
This expression is the complete factored form of the given expression because [tex]a^3 - 11 a b + 8 b^3[/tex] can not be factored further.
Therefore, the factor form of given expression is [tex]2 a^3 b^4 (a^3 - 11 a b + 8 b^3)[/tex].
**Please check my first 2 answers**
8 × 19
A.
(8 × 10) + (8 × 1)
B.
(8 × 20) − (8 × 1) (I choose this)
C.
(8 × 20) − 1
D.
(8 × 10) − (8 × 1)
=========
2(9 + 3)
A.
(2 × 9) − (2 × 3)
B.
(2 × 9) + (9 × 3)
C.
(2 × 9) + 3
D.
(2 × 9) + (2 × 3) (I choose this)
====================
For questions 3–4, simplify using the Distributive Property.
7 × 48
A.
(7 × 50) − (7 × 2) = 350 – 14 = 336
B.
(7 × 40) + 8 = 288
C.
(7 × 50) – 2 = 348
D.
(7 × 40) + (7 x 8) + 7 = 343
==============
9 × 81
A.
(9 × 80) + 1 = 721
B.
(9 × 80) – (9 × 1) 711
C.
(9 × 80) + (9 × 1) =729
D.
(9 × 90) – (9 x 1) = 801
Answer:
1. B. (8 x 20) - (8 x 1)
2. D. (2 x 9) + (2 x 3)
3. A. (7 x 50) - (7 x 2) = 350 - 14 = 336
4. C. (9 x 80) + (9 x 1) = 729
An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets that adult tickets. How many tickets did the amusement park sell on Saturday?
What is the median of 18 and 16
Which of the following represents the zeros of f(x) = 2x3 − 5x2 − 28x + 15?
5, −3, −1 over 2
5, −3, 1 over 2
5, 3, −1 over 2
5, 3, 1 over 2
Answer: B) 5, −3, 1 over 2 are the zeros of f(x).
Step-by-step explanation:
Given function f(x)=[tex]2x^3-5x^2-28x+15[/tex]
If a is a zero of f(x) then f(a)=0
Let's check all the options
[tex]f(5)=2(5)^3-5(5)^2-28(5)+15\\=2(125)-5(25)-28(5)+15=250-125-140+15=0[/tex]
[tex]f(-3)=2(-3)^3-5(-3)^2-28(-3)+15\\=2(-27)-5(9)-28(-3)+15=-54-45+84+15=0[/tex]
[tex]f(\frac{-1}{2})=2\frac{-1}{2}()^3-5(\frac{-1}{2})^2-28(\frac{-1}{2})+15\\=2(\frac{-1}{8})-5(\frac{-1}{4})+14+15=\frac{-1}{4}-\frac{5}{4}+29=\frac{110}{4}=\frac{55}{2}\neq 0[/tex]
Therefore , 5 and -3 are zeroes of f(x).but -1/2 is not.
[tex]f(\frac{1}{2})=2\frac{1}{2}()^3-5(\frac{1}{2})^2-28(\frac{1}{2})+15\\=2(\frac{1}{8})-5(\frac{1}{4})-14+15=\frac{1}{4}-\frac{5}{4}-14+15=0[/tex]
⇒ 1/2 isthe third zero of f(x).
Here we got our three zeroes as 5,-3,1/2,rest other will not satisfy f(a)=0
Therefore B represents the zeroes of f(x).