Write an equation in slope-intercept form that is perpendicular to 4x - 5y = 1 and passes through (-3, 4).
Answers
Answer:
y=[tex]\frac{-5}{4}[/tex]x + [tex]\frac{-1}{ 4}[/tex]
Step-by-step explanation:
4x-1=5y
4/5 is the original slope and negative [tex]\frac{5}{4}[/tex] is the perpendicular slope.
Using that to put (-3,4) and the slope into point-slope form:
y-4=[tex]\frac{-5}{4}[/tex](x+3)
distribute and isolate y
y=[tex]\frac{-5}{4}[/tex]x + [tex]\frac{-1}{4}[/tex]
Answer:
y = -5/4x + 1/4
Step-by-step explanation:
*Pependicular line have negative reciprocal slopes*
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)4x - 5y = 1 <== subtract 4x from both sides
-4x -4x
-5y = -4x + 1 <== divide both sides by -5
/-5 /-5
y = 4/5x - 1/5
Find the Negative reciprocal of the line:
Steps:
1. Take your original slope (4/5)
2. Flip it (5/4)
3. Change the sign (-5/4)
The slope of the perpendicular line would be: -5/4 (y = -5/4x + b)
We need to find the y-intercept (b) for the perpendicular line using (-3, 4):
y = -5/4x + b <== substitue -3 for x and 4 for y
4 = -5/4(-3) + b
4 = 15/4 + b <== multiplify both sides by 4
4(4 = 15/4 + b)
16 = 15 + 4b <== subtract 15 from both sides
-15 -15
1 = 4b <== divide both sides by 4
/4 /4
1/4 = b
y = -5/4x + b changes to y = -5/4x + 1/4
Hope this helps!
Related Questions
What is the prime factorization of 42?
I think it would be 2x3x7.
Answers
Answer:
2 x 3 x 7
Step-by-step explanation:
How to find Prime Factorization of 42? Prime factorization of a number is breaking that number down into the set of prime numbers which multiplied together is equal to the original number So great job you already knew the answer
Answer:
I think it is 2 x 3 x 7. 2 x 3 x 7 = 42 2 x 3 x 7
Step-by-step explanation:
2 x 3 x 7. 2 x 3 x 7 = 42 2 x 3 x 7 = 42 hope this helps if not please let me know
utilize graphing to find the solution to the following system of equations.
Answers
The system of equations has two distinct equations
The solution to the system of equations is (-2,-1)
How to determine the solution?The system of equation is given as:
y = 2x + 3
And
y = 3x + 5
Start by plotting the graphs of the equations
From the graph (see attachment), we have:
(x,y) = (-2,-1)
Hence, the solution to the system of equations is (-2,-1)
Read more about system of equations at:
https://brainly.com/question/14323743
What is the least natural number which when divided by 3,5,6,8,10 and 12 leaves in each case remainder 2 but when divided by 13 leave no remainder.
Answers
Answer:
962
Step-by-step explanation:
MMM for step by step its kinda just plug and check
962/3 = 320 R2
962/6 = 160 R2
962/8 = 120 R2
962/10 = 96 R2
962/12 = 80 R2
and finally 962/13 = 74
6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero
Answers
Answer:
I think it was the third century b.c. If not then I am sorry.
Please help!! Need an explanation by tomorrow and I am super confused!
Answers
Answer:
x = 35
y = 7
Step-by-step explanation:
See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so
C + 45 + 30 = 180
C + 75 = 180
C = 105°
This is angle DCB.
Now all the angles are marked. We can set up equations to find x and y. see image.
Write one hundred ten million in expanded notation using exponents.
Answers
Answer:
1.10 x 108.
Step-by-step explanation:
In a 135-pound adult, about 94 pounds of the adult’s weight is water. What percent of the weight is water, rounded to the nearest whole percent?
help, and fast! please...
Answers
Answer:
70%
Step-by-step explanation:
94/135 = x/100
x= (94/35)*100
x= 9400/3500
x= 1880/27
x=69.629
rounded to the nearest whole percent, x=70
This morning, Deanna took a history test. She got 87 out of 90 problems right. What is
her final grade, as a percentage rounded to the nearest tenth?
Answers
Answer:
96.7%
Step-by-step explanation:
87/90 = 0.96666666
To make this number a percentage, we move the decimal point two places to the right. Her grade would be 96.6666 percent, which rounds up to 96.7%
Answer:
96.7%
Step-by-step explanation:
87÷90×100
I need help finding the value of this figurehead
Answers
Answer:
See below, please
Step-by-step explanation:
Volume
[tex] = (x + 12) \times (x + 3) \times 2x[/tex]
[tex] = ( {x}^{2} + 15x + 36) \times 2x[/tex]
[tex] = 2 {x}^{3} + 30 {x}^{2} + 72x[/tex]
Find the value of x.*
20
48
36
60
Answers
Answer: 48
Step-by-step explanation:
Members of a softball team raised $1319.25 to go to a tournament. They rented a bus for $776.50 and budgeted $41.75 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answers
Answer:
13 players
Step-by-step explanation:
Money Raised=RentedBus+Meals
1319.25=776.50+41.75p (p is for the number of players)(Now we solve for x)
Subtract 776.50 from both sides: 542.75=41.75x
Divide both sides by 41.75: 13=x
Remember that x is for the number of players so there'll be 13 players going to the tournament.
Need help.............................
Answers
Answer: The answer is 8
Step-by-step explanation: If you round 9 52/69 you get 10 approximately and -1 29/50 is approximately -2 so 10-2=8
What is the area of the triangle shown?
Answers
Answer:
6
Step-by-step explanation:
4 units x 3 units = 12 units / 2 to get a triangle
The triangle circumscribes the circle. What is the perimeter of the triangle?
Answers
Answer:
P = 72 ft
Step-by-step explanation:
the perimeter P is the sum of the 3 sides.
Tangents to a circle from an external point are congruent , then
side 24 = 15 + 9
side 21 = 9 + 12
Third side = 12 + 15 = 27 ft
P = 24 + 21 + 27 = 72 ft
The width of a rectangle with area 55in^2 depends on its length. write the formula that describes the width of the rectangle as a function of its length.
(screenshot attached if you need to see the problem better)
Answers
The formula that describes the width of the rectangle as a function of length is w = 55 / m.
How to find area of a rectangle?area of a rectangle = lw
where
l = lengthw = widthTherefore,
area = 55 inches²
length = m
width = w
Hence,
area = mw
55 = mw
divide both sides by m
55 / m = wm / m
w = 55 / m
learn more on rectangles here: https://brainly.com/question/26306126
What is slope intercept form?
Question 8 options:
x = ym + b form of a linear equation
y= mx + b form of a linear equation
m = x form of a linear equation
b= m + y form of a linear equation
Answers
pls help if u do ill give brainlist
Answers
Answer:
C. [tex]1\frac{2}{10}[/tex]
Step-by-step explanation:
[tex]\frac{30}{100}+\frac{9}{10}=\frac{30}{100}+\frac{90}{100}[/tex]
[tex]\frac{30}{100}+\frac{90}{100}=\frac{120}{100}[/tex]
[tex]\frac{120}{100}=1\frac{20}{100}[/tex]
[tex]1\frac{20}{100}=1\frac{2}{10}[/tex]
Explanation:
[tex] \frac{300}{100} + \frac{9}{10} [/tex]
[tex] \frac{30}{10} + \frac{9}{10} [/tex]
[tex] \frac{3 + 9}{10} [/tex]
[tex] \frac{3 + 9}{10} = \frac{12}{10} [/tex]
Cross out common factors.
[tex] \frac{6}{5} [/tex]
Answer:
[tex]1 \frac{2}{10} [/tex]
Hope this helps.
Hi please help with an explanation as well, I’ll reward branliest
Answers
Answer:
Perimeter of base: 40 :)
10 + 10 + 10 + 10 = 40
Slant height: 13
(it gives us this information) :)
Area of base: 100
10^2 = 100
Surface area: 65000
(1/2)(100 x 13)
1/2(1300)
650
Have an amazing day!!
Please rate and mark brainliest!!!
Answer and Explanation:
1) The perimeter is the sum of the base's side lengths, so it is:
P = 10 ft * 4 = 40 ft
2) The height can be calculated using the Pythagorean Theorem. Take half of the base's side length for the short leg (5 ft) and the slant height (13 ft) for the hyptenuse:
5^2 + h^2 = 13^2
25 + h^2 = 169
h^2 = 144
h = 12 ft
3) To find the lateral area, take the area of one of the triangular faces of the pyramid and multiply it by 4, since there are 4 triangular faces:
LA = 4 * (1/2)(10 * 13)
= 4 * 65
= 260 ft
4) The area of the base is the product of its dimensions:
A(base) = 10 * 10
= 100 ft^2
5) Surface area is the sum of the lateral area and the base's area, so just plug in the values from problems 3 and 4:
SA = LA + A(base)
= 260 + 100
= 360 ft^2
Kira and Bill are collecting clothes for a clothing drive. Bill collected 3/5 as many clothes as Kira did. If Kira collected 1/3 of a bag of clothes, how many bags of clothes did Bill collect?
Answers
Answer:
1/5
Step-by-step explanation:
because 3/5*1/3=1/5
Please mark as brainliest
se upper and lower sums to approximate the area of the given region and given number of subintervals.
1. = from x=0 to x=1 with 4 subintervals.
2. = 4― from x=0 to x=2 with 4 subintervals.
3. = 1
from x=1 to x=2 with 5 subintervals.
Answers
The estimated areas are listed below:
The area of the function is approximately 0.806.The area of the function is approximately 2.088.The area of the function is approximately 0.696.How to approximate the area of a given region with a given number of subintervals
Right Riemann sum based on trapezoids offer a compact method that combines upper and lower sums, which is defined below:
[tex]A = \frac{b-a}{2\cdot n}\cdot \sum_{i = 0}^{n-1} [f(x_{i})+f(x_{i+1})][/tex] (1)
Where:
b - Upper bounda - Lower boundn - Number of subintervalsi - Subinterval indexIn this question we must apply right Riemann sums to estimate the areas of functions on given intervals. Now we proceed to solve each case below:
Case I ([tex]f(x) = \sqrt{x}[/tex], [tex]a = 0[/tex], [tex]b = 1[/tex], [tex]n = 4[/tex])[tex]A = \frac{1-0}{2\cdot (4)} \cdot [(0+\sqrt{0.5})+(\sqrt{0.5} + 1)+(1+\sqrt{1.5})+(\sqrt{1.5}+2)][/tex]
A ≈ 0.806
The area of the function is approximately 0.806. [tex]\blacksquare[/tex]
Case II ([tex]f(x) = 4\cdot e^{-x}[/tex], [tex]a = 0[/tex], [tex]b = 2[/tex], [tex]n = 4[/tex])[tex]A = \frac{2-0}{2\cdot (4)}\cdot [(4+1.472)+(1.472+0.541)+(0.541+0.199)+(0.199-0.073)][/tex]
A ≈ 2.088
The area of the function is approximately 2.088. [tex]\blacksquare[/tex]
Case III ([tex]f(x) = \frac{1}{x}[/tex], [tex]a = 1[/tex], [tex]b = 2[/tex], [tex]n = 5[/tex])[tex]A = \frac{2-1}{2\cdot (5)} \cdot [(1+0.833)+(0.833+0.714)+(0.714+0.625)+(0.625+0.556)+(0.556+0.5)][/tex]
A ≈ 0.696
The area of the function is approximately 0.696. [tex]\blacksquare[/tex]
To learn more on Riemann sums, we kindly invite to check this verified question: https://brainly.com/question/21847158
Surface area
5.5 m
1.2 m
1.6 m
Answers
1.6(1.2)=1.92
6.6(4)=26.4
1.92(2)=3.84
Add them and get 30.24m^2
Expression Expanded Evaluated[tex]-6^{5} \\(-2)^{3} \\-3^{4}\\(-1)^{5}[/tex]
Answers
"7 * 4
the * is times
Step-by-step explanation:
that's it in expanded form"
Expanding the expressions:
1)
⇒ (-6)⁵
⇒ (-6)(-6)(-6)(-6)(-6)
⇒ -7776
2)
⇒ (-2)³
⇒ (-2)(-2)(-2)
⇒ (4)(-2)
⇒ -8
3)
⇒ (-3)⁴
⇒ (-3)(-3)(-3)(-3)
⇒ (9)(9)
⇒ 81
4)
⇒ (-1)⁵
⇒ (-1)(-1)(-1)(-1)(-1)
⇒ -1
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS THANKS
Answers
Answer:
1/6
Step-by-step explanation:
Hope it helps you in your learning process
Answer:
the second one
Step-by-step explanation:
1/6
brainliest pls
Find the greatest number of children to whom 260 pens and 364 chocolates can be divided equally.
Answers
answer:
52
explanation:
52 is the highest shared factor of the two numbers.
52*5=260
52*7=364
--
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A fruit punch is made with 32 ounces of ginger ale for every 12 ounces of frozen orange juice
concentrate. How much ginger ale should you use for 30 ounces of orange juice concentrate?
Answers
Answer:
80
Step-by-step explanation:
if you make a ratio table
32ginger ale = 12orange juice
now we now 6x5=20 so we can divide 12 by 2 which would give us 6 and the same with 32 which would give us 16 now you have
16ginger ale = 6 orange juice
and we need 30 orange juice so 6x5= 30 and we multiply 16 by 5 too so 16x5=80 t
therefore
80 ginger ale = 30 orange juice
what are the missing reasons in the proof?
Answers
Answer:
Step-by-step explanation:
3) Opposite sides of a parallelogram are parallel
4) Alternate interior angles theorem
5) Reflexive property
6) ASA
An event has a probability of 1/2. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
Answers
Answer:
Equally Likely
Step-by-step explanation:
The answer is equally likely because equally likely events have the same probability of happening as another event.
For example, a fair coin.
It has a 1/2 chance of beng tails, and 1/2 chance of being heads, meaning that both tails and heads are Equally Likely to land.
Hope this helps!
If an event has a probability of 1/2 then the likelihood of this event is,
C. Equally likely.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
As equally likely occurrences have the same likelihood of occurring as other events, the answer is equally likely.
A fair coin is an illustration.
Both tails and heads are equally likely to land because there is a 1/2 chance that it will be one or the other.
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A right triangle has legs measuring 18 in. and 26 in.
What is the length of the hypotenuse?
Round to the nearest tenth.
18.8 in.
31.6 in.
44.0 in.
100.0 in.
i know the answer but I need someone to explain to me how to do this, I do a^2+b^2 +c^ and i keep getting 26
Answers
Answer:
The answer is 100 in
Step-by-step explanation:
The pythagorean theorm states that, for any right triangle where a and b are the legs and c is the hypotenuse, a^2 + b^2 = c^2. So, we can substitute and solve.
18^2 + 26^ 2 = c^2
324 + 676 = c^2
1000=c^2
Square root of 1000 = c
100.0=c
Hope this helps!
Do Not Red
consider the net of a rectangular pyramid.
156 ft
63 ft S132 ft
63 ft
66 ft
1
156 ft
What is the surface area, in square feet, of the rectangular pyramid?
A 336 ft2
B 434 ft2
C 2,350 ft2
D 7,824 ft2
Answers
Answer:
c
Step-by-step explanation:
A growing farming conglomerate increases its water usage at a rate of 10% every year. If it
used 13,000 megaliters of water this year, then how much water will it use 17 years from
now?
Answers
The quantity of water the farming conglomerate would use 17 years from now is 65,708.11.
What is the amount of water that would be used 17 years from now?The formula for calculating the amount of water that would be needed 1 years from now:
FV = P (1 + r)^N
FV = Future value P = Present value R = interest rate N = number of years13000 x 1.1^17 = 65,708.11
To learn more about future value, please check: https://brainly.com/question/18760477