Answer:
-1/4x + 1 ( If this is wrong then ignore this)
Step-by-step explanation:
The formula for a problem like this is y - y1 = m(x - x1). The x coordinate, -8 is the x1 and the y coordinate 3 is x1. So the equation is y - 3 = -1/4(x + 8)
Equation:
y - 3 = -1/4(x + 8)
y - 3= -1/4x - 2
y = -1/4x + 1
Therefore the equation for the line is y = -1/4x + 1
Given parameters:
Slope of the line = [tex]-\frac{1}{4}[/tex]
Coordinates of the points = (-8, 3)
Unknown:
Equation of the line = ?
Solution:
To find the equation of the line, we must note that any straight line can be represented by the equation;
y = mx + c
where x and y are the coordinates
m is the slope
c is the y-intercept of the line
Input the parameters and solve for c;
x = -8 and y = 3;
3 = [tex]-\frac{1}{4}[/tex] x (-8) + c
3 = 2 + c
c = 1;
So the equation of the line is ;
y = [tex]-\frac{1}{4}[/tex]x + 1
multiply through by 4;
4y = -x + 4
The equation of the line is 4y = -x + 4
Leyla needs to hire a plumber to fix a few things around her house. She will need plumbing service for a total of 3 hours. Which plumbing service should she go with to save money? How much will she save? Justify your answer.
Great! So let’s solve for Joe’s Plumbing charges first. To find his price for 3 hours, solve J(3)=45(3)=$135.
Now let’s find Mark’s Plumbing charges. To find his price for 3 hours, plug 3 into M(t)=40t+25. So, M(3)=40(3)+25=$145.
Therefore, Joe’s Plumbing is cheaper than Matt’s plumbing by 10 dollars for a 3 hour job.
1. A hexagon is inscribed in a circle. If the difference between the area of the circle and the area
of the hexagon is 24 m”, use the formula for the area of a sector to approximate the radius
of the circle. Give an exact answer( doesn't have to be rationalized) and round to 2 decimals.
Answer:
The radius, r ≈ 6.55 m
Step-by-step explanation:
The given parameters are;
An inscribed hexagon in a circle
The area of the hexagon = Area of the circle - 24 m²
The formula for the area of the circle = π·r² = π × r²
The area of each of the six equilateral triangle in the hexagon = √3/4 × r²
Where;
r = The radius of the circle
The area of a sector of a circle in which the equilateral triangle is inscribed = 60/360×π·r² = 1/6×π·r² = 1/6 × Area of the circle
Given that the sector of the circle in which one of the six equilateral triangles of the hexagon is inscribed is 1/6 the area of the circle, the difference in area between the equilateral triangle and the sector = 24/6 = 4
Therefore, the difference in the area between the sector of the circle and the area of the equilateral triangle = 4 m²
We then write; 1/6×π·r²- √3/4 × r² = 4
r²·(1/6×π- √3/4) = 4
r² = 4/(1/6 ×π - √3/4) = 48/(2·π -3·√3)
r = √(48/(2·π -3·√3) = 6.55 m to 2 decimal places
The radius, r ≈ 6.55 m.
2 + 31 X
To
+ 14 x
10
2.345
100
O
I
Answer:
12-12=21
Step-by-step explanation:
i think it is that
Please help me I need to solve by factoring!!
Answer:
x=5
Step-by-step explanation:
3x^2=15x
Subtract 15x from both sides
3x^2-15x=0
Factor out 3x
3x(x-5)=0
Since 0 divided by any number is zero, we get that:
x-5=0
x=5
please help me and show all work 30 points
5x-(3x-6)=18
2(3x-4)=10
2x+7=5x+16
Answer:
5x-3x-6=18
2x=18+6
2x=24
x=24÷2
x=12
Subtract −5x^2 −9x+8 from -6x^2+5
Answer:
-(x^2 - 9 x + 3)
Step-by-step explanation:
Simplify the following:
-(-5 x^2 - 9 x + 8) - 6 x^2 + 5
Factor -1 out of -5 x^2 - 9 x + 8:
--(5 x^2 + 9 x - 8) - 6 x^2 + 5
(-1)^2 = 1:
5 x^2 + 9 x - 8 - 6 x^2 + 5
Grouping like terms, 5 x^2 - 6 x^2 + 9 x - 8 + 5 = (-6 x^2 + 5 x^2) + 9 x + (5 - 8):
(-6 x^2 + 5 x^2) + 9 x + (5 - 8)
5 x^2 - 6 x^2 = -x^2:
-x^2 + 9 x + (5 - 8)
5 - 8 = -3:
-x^2 + 9 x + -3
Factor -1 out of -x^2 + 9 x - 3:
Answer: -(x^2 - 9 x + 3)
Questions on picture. Please help
Answer:
A) 2
Step-by-step explanation:
We already know that [tex]i[/tex] equals -1, so we can substitute that into the expression.
[tex](\sqrt{3} +(-1))(\sqrt{3} -(-1))\\(\sqrt{3} -1)(\sqrt{3}+1)[/tex]
Now we can use the distributive property to solve the rest
[tex](\sqrt{3} -1)(\sqrt{3}+1)\\\sqrt{3} *\sqrt{3} +\sqrt{3} -\sqrt{3}-1\\ 3+0-1\\=2[/tex]
Hope this helps! I apologize if I get this incorrect.
HELP QUICK PLEASE!!!
Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
Select Congruent or Not Congruent for each pair of quadrilaterals.
Congruent Not Congruent
quadrilateral 1 and quadrilateral 2
– quadrilateral 1 and quadrilateral 2
– quadrilateral 1 and quadrilateral 2
quadrilateral 1 and quadrilateral 3
– quadrilateral 1 and quadrilateral 3
– quadrilateral 1 and quadrilateral 3
quadrilateral 1 and quadrilateral 4
– quadrilateral 1 and quadrilateral 4
– quadrilateral 1 and quadrilateral 4
quadrilateral 2 and quadrilateral 3
– quadrilateral 2 and quadrilateral 3
– quadrilateral 2 and quadrilateral 3
quadrilateral 2 and quadrilateral 4
– quadrilateral 2 and quadrilateral 4
– quadrilateral 2 and quadrilateral 4
quadrilateral 3 and quadrilateral 4
Answer:
1, 4 nope 2, 3 yep
Step-by-step explanation:
Express 2101 three to base 10
Answer:
2101=64...............
IN
19. 5x + 7 < 2x + 1
How to solve
Answer:
x < - 2
Step-by-step explanation:
Step 1:
5x + 7 < 2x + 1 Equation
Step 2:
3x + 7 < 1 Subtract 2x on both sides
Step 3:
3x < - 6 Subtract 7 on both sides
Step 4:
x < - 6 ÷ 3 Divide
Answer:
x < - 2
Hope This Helps :)
Find the slope.of (3,1) and (1,-11)
(a4b-5c3)2 please solve
Answer: I thibk it is
a^8c^6
_______
b^10
Leslie is buying potatoes at a store. This graph shows the relationship between the number of pounds of potatoes she buys and the total cost.
The picture shows a line graph, titled Cost of Potatoes. The horizontal axis is labeled, Weight of Potatoes in pounds. The values shown on the horizontal axis are zero through five. The vertical axis is labeled Cost in Dollars. The values shown on the vertical axis are zero through five. The line on the graph starts at zero pounds and zero dollars. The line moves in the upward direction. It passes through the point two pounds and one and one-half dollars. It also passes through the point four pounds and three dollars.
Based on the graph, what is the unit cost, in dollars, of the potatoes?
Answer:
please someone answer this
Step-by-step explanation:
pls
Answer:
0.75
Step-by-step explanation:
During one week, Sheila made several changes to her bank account. She made four withdrawals of $40 each from an ATM. She also used her check card for a $156 purchase. Then she deposited her paycheck of $375. By how much did the amount in her bank account change during that week?
Answer:
179
Step-by-step explanation:
40+156=196
375-196= $179.00
if I'm not wrong
Answer: $59 increase
Step-by-step explanation: since we don't know how much she had in her bank account prior to making 4 withdrawals it's hard to find the answer so a like and rating would be appreciated. We know she withdrew $40 dollars 4 times which would mean she withdrew $160 dollars, then she used her card for a $156 dollar purchase, so if we add $160 and $156 dollars we get $316 dollars spent. Then she deposited a check of $375 dollars into the bank account so we have to subtract $316 from $375 dollars to get $59 dollars, now since we subtracted and we are left with an extra amount rather than the money wasted we started with it means it's an increase as we are left with $59 and not with a price lower than $316.
Xavier is driving home. He starts 250 miles from home and his car can travel 28 miles per gallon of gasoline he uses. Xavier stops at a rest stop that is 100 miles from home. Let g be the amount or gas he has used at that point. Set up and solve an equation for how much gas Xavier used to get to the rest stop.
Answer:
For 100 miles he uses 3.571 gallons of gasoline.
In equation form it is y/x*100
Step-by-step explanation:
Unitary Method
He travels 28 miles per gallon of gasoline.
For 1 mile he uses 1/28 gallons
For 100 miles he uses 1/28 * 100= 100/28= 3.571 gallons of gasoline.
Let x be the miles and y be the gallons of gasoline used to travel x miles.
Then for 1 mile the gallons of gasoline used will be y/ x gallons.
For 100 miles the gallons of gasoline used will be y/x *100 gallons.
In equation form it is y/x*100 gallons for 100 miles where x is the number of miles and y is the amount of gallons.
What is the decimal equivalent of 18/5
The correct answer is 3.6 because you only divide 18 by 5 and you'll get your answer.
The decimal equivalent of 18/5 is 3.6.
What is the decimal equivalent of 18/5?
To convert a fraction to a decimal, you divide the top number by the bottom number. In this situation, you take the number 18 and divide it by the number 5.
When you divide, you get 3 as your answer and you have 3 left over. So, the decimal equivalent is 3. 6
Learn more about decimal
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In the table shown, the ratio of miles biked to hours biked is constant.
Answer:
B
Step-by-step explanation:
You can see it would come out to be one with 44/4 so if you made it m/7 it would have to come out with a one so it would be 77.
The proportion 44/4=m/7 can be used to determine the value of m.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of miles biked to hours biked is constant.
The given table is
Miles biked 11 44 m 132 165
Hours biked 1 4 7 12 h
We have to find the value of m.
m is the number of miles biked in 7 hr.
By using the proportion we can find m.
44/4=m/7
11=m/7
Apply cross multiplication
m=77
Hence, the proportion 44/4=m/7 can be used to determine the value of m.
To learn more on Ratios click:
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what are all the different methods for solving quadratic equations? discuss the pros and cons of each. what indicators predict when a quadratic equation will have a complex solution
Answer: are factoring, using square roots, completing the square and quadratic formula.
Step-by-step explanation:
Linda watched a video. The introduction is 2 minutes, and the video is 7 minutes. What percentage of the video is the introduction? Explain.
Answer:
22.222222%
Step-by-step explanation:
all together the entire video is 9 min and 2 of those are the intro so 2/9 and that as a percent is the answer
Answer: 22.23% (Infinitely Long)
Step-by-step explanation:
9 = 100%
9 (100%) - 7 (77.78%) [Also Infinitely Long] = 2 (22.23%) [Infinitely Long]
There ya go. :)
Please help me with this
Answer:
b. [tex] f^{-1}(x) = x^3 - 2 [/tex]
Step-by-step explanation:
[tex] f(x) = \sqrt[3]{x + 2} [/tex]
[tex] y = \sqrt[3]{x + 2} [/tex]
[tex] x = \sqrt[3]{y + 2} [/tex]
[tex] (x)^3 = (\sqrt[3]{y + 2}^3 [/tex]
[tex] x^3 = y + 2 [/tex]
[tex] y = x^3 - 2 [/tex]
[tex] f^{-1}(x) = x^3 - 2 [/tex]
Answer: b. [tex] f^{-1}(x) = x^3 - 2 [/tex]
(Help!!)Select all the true statements.
Answer:
the first choice, the second choice, and the last choice
Step-by-step explanation:
5 and 6 because they are alternate angles
2 and 3 because they are corresponding angles
2 and 4 because they are corresponding angles
Yall already know im stuck again will mark brainlyest
Answer:
1. 16
2. 1
3. 1
4. 4
5. 2
6. 8
7. 1
8. 9
9. 90
10. 10
Step-by-step explanation:
4. Is the expression (10x + 5 - 6x - 2) equivalent to (5x + 1 - (x - 2))? [True or False]
Prove this using algebra - Show work].
Here is the answer, with a picture of it!
pls answer the questions
Answer:
which question
Step-by-step explanation:
hope this helps u
Answer:
What question there is nothing here
Theo buys 116 shares of Raxin Accounting at $15.66 per share and 165 shares of Sanden Research Labs at $8.57 per share. If
Theo's broker charges a commission of $11.50 per ten shares bought or sold, how much does Theo pay in commission?
$1,816.56
b. $323.15
C. $3,553.76
d. $1,414.05
Answer:
the answer is letter B. $323.15
Step-by-step explanation:
Answer:
B: 323.15
Step-by-step explanation:
[tex](\frac{116+165}{10} )*11.50[/tex]
Is the function f(x) = x even, odd or neither?
Answer:
odd
Step-by-step explanation:
Can someone please help me with this?
Answer:
Domain is the time in minutes
Range is the amount of water in liters
y≤75 liters
x≤15 minutes
Write a loss of $20 as an integer.
Answer:
-20
Step-by-step explanation:
you loss means it's a negative number
Answer:
-20
Step-by-step explanation:
-20 if added to a number, such as 40, it's would result in 20.
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
2y–6=0
The slope − intercept form is :
The slope is:
The y − intercept is ( )
,
).
Answer:
see below:
Step-by-step explanation:
2y–6=0
a. slope intercept form using y = mx + b
y = 6/2
y = 3
b. slope: use the slope intercept form: y = mx + b
slope = m = 0
c. y-intercept = (0,3)
Answer:
slope intercept form: y=3
the slope:0
the y-intercept(0,3)
Step-by-step explanation:
what makes this statment true 9^-2=?
a)81
b)18
c)1/81
d)-1/81