write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4
Answer:
y= -3x + 8
Step-by-step explanation:
Put -2x + 6y = -4 into slope-interceltp form
Take the negative reciprocal of the slope.
Use this reciprocal in point-slope form
and you have,
= y= -3x + 8
(EDITED) Steps:
2x+6y = -4
6y=2x - 4
y= 1/3x + 2/3
if two lines are perpendicular,
m1 * m2 + -1
1/3 * m2 = -1
m2 = -3
the line perpendicular to this line is
y = -3x + k ; k ∈ R
the line passes through the point (5,-7)
so,
-7 = -3. (5) +k
-7 = -15 + k
k = 8
∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is
y= -3x + 8
Hope this helps, have a nice day/night! :D
B.
Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
А
SAS Congruence Postulate
OHL Congruence Theorem
AAS Congruence Theorem
These triangles are congruent by the AAS Congruence Theorem.
What is Congruence Theorem?Congruence Theorem states that if two triangles have congruent corresponding parts then they are congruent.
Given is a figure, we need to find that which theorem proves that these two triangles are congruent
In Δ MNR and Δ QNP
∠ MNR = ∠ QNP (Vertically opposite angle property)
∠ RMN = ∠ QPN (Corresponding angle property)
RN = NQ (As given in the diagram)
Therefore,
Δ MNR ≅ Δ QNP by AAS rule
Hence proved
Learn more about Congruence Theorem, click;
https://brainly.com/question/19258025
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The figure is not given, so the question has been solved for the attached one.
What is the cube root of 8x27?
Answer:
6
Step-by-step explanation:
this is so simple brother
Answer:
The cube root of 8x27 is 54
Step-by-step explanation:
Observe the following pattern (1×2)+(2×3)=2×3×43, (1×2)+(2×3)+(3×4)=3×4×53, (1×2)+(2×3)+(3×4)+(4×5)=4×5×63 and find the value of (1×2)+(2×3)+(3×4)+(4×5)+(5×6)
Compound $35.000 is invested at 5% compound interest. What is the interest at the end of three years?
Answer:
$40,516.86
Step-by-step explanation:
start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.
Answer:
A = $40,516.88
Step-by-step explanation:
Assuming that interest is compounded annually:
The AMOUNT will be A = P(1 + r)^2, which here is
A = $35,000(1 + 0.05)^3, or
A = $40,516.88
find the greatest common factor (GCF) OF each pair of number using continuous division
1.15 and 30
2.Cassandra is creating individual servings of dessert.She has 16 pili nut candies and 24 chocolates. If she wants each serving to be indentical with no food left over what is the greatest number of servings Cassandra can create.
Answer:
1. GCF is 15.
2. 8 servings
Step-by-step explanation:
1. Continuous Division
3 15 30
5 5 10
1 2
Multiply the factors in the left side (3 and 5)
= 15
Greatest Common Factor is 15
2. Continuous Division
2 16 24
2 8 12
2 4 6
2 3
Multiply the factors in the left side (2,2 and 2)
= 8
Greatest number of servings is 8
An average clementine is shaped like a sphere and has a diameter of 3.5 inches. What is the volume of the fruit? Use 3.14 for pi. Round your answer to the nearest hundredth. (4 points)
a
20.45 cubic inches
b
21.34 cubic inches
c
22.44 cubic inches
d
23.78 cubic inches
Answer:
Calculate the average rate of change for the graphed sequence from n = 1 to n = 3.
graphed sequence showing point 1, 2, point 2, 4, point 3, 8, point 4, 16, point 5, 32, and point 6, 64
1
2
3
6
Step-by-step explanation:
Answer:
c
Step-by-step explanation
First you have to find the radius.
3.5 divide by 2 = 1.75
v= 4/3 pi r ^3
v = 4/3 (3.14) (1.75)^3
v= 4/3 (3.14) (5.36)
v= 4/3 (16.83)
v= 4/3 (16.83) = (4/3) (16.83/1)
v= (4/3) (16.83/1) = 67.32/3 = 22.44
1. Nancy works at a Dunkin Donut. The coffee maker has the ability to make 64oz of coffee. If
one coffee maker is half full, and coffee is brewed at a rate of 2oz per minute.
a. Write an equation to represent the total amount of coffee, c, in the coffee makers after t
minutes of brewing. (2 points)
b. How much coffee is there after 10 minutes of brewing? (2 points)
a = 2t+32=c
b= 2*10=20+32=52oz of coffee
I think this is right
A shop sells orange juice in the following ways:
500 ml bottle for £1.25
1.5 litre carton for £2.35 each or 2 cartons for £3.50
2 litre carton for £3.25
What's the cheapest way of buying exactly 8 litres with no extra?
Find the amount of each type of bottle or carton you need and the total cost of buying 8 litres
Answer:
1.
1.5 litre carton for $2.35 is the cheapest way since it's the cheapest out of all the other options.
2.
a. 1.25 / 0.5 = $2.50 per L
2.35 / 1.5 = $1.57 per L
3.25 / 2 = $1.63 per L
b. 2.50 x 8 = $20.00 per 8 L
1.57 x 8 = $12.56 per 8 L
1.63 x 8 = $13.04 per 8 L
Step-by-step explanation:
find unit rate (cost / quantity)
The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?
A graph titled Brenda's Monthly Cell Phone Bill has hours used on the x-axis and cell phone bill (dollars) on the y-axis. Points plotted are (1, 27), (2, 39), and (3, 51).
Answer: Well all you have to do Is find the Rise over run.
Step-by-step explanation:
Then you will have your answer :)
Answer:
Step-by-step explanation:
12
someone plz solve it
Answer:
the volume would be 9
Step-by-step explanation:
Answer:
5.760 or 4 cube root 3
Step-by-step explanation:
Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for the license plates, and $40 for a state safety and emissions inspection. How does she need to play for these extra charges, not including the price of the car?
Answer:
999
Step-by-step explanation:
8% of 11,325 is 906
53 plus 40 is 93
906 plus 93 is 999
Solve the angles of this parallelogram
[tex]6x + 2 + 14x + 2y + 15y + 10 + 6x + 12y = 360° \\ 26x + 29y + 12 = 360° \\ 26x + 29y = 360 - 12 \\ 26x + 29y = 348 \\ 26x + y = \frac{348}{29} \\ 26x + y = 12 \\ x + y = 312[/tex]
Pls tell me the answer of this
Answer:
(C) 27
IS THE ANSWER....
A shark is 205 feet below sea level, it rises 80 feet towards sea level, then 25 points
drops 40 feet. What is the current elevation?
Captionless Image
Answer:
165 feet below sea level.
Step-by-step explanation:
205 - 80 = 125
125 + 40 = 165
Adam bought 6 dozen balloons and filled them all with air. The air cost him
$.25 each balloon to have filled. Then he divided the balloons between 12 children.
How much did he spend total on the air for the balloons?
Answer:
Adam spent in total 288
Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(3.5, 8.2) and (2, 7.3)
a.
y = negative 0.6 x minus 6.1
b.
y = 0.6 x minus 6.1
c.
y = negative 0.6 x + 6.1
d.
y = 0.6 x + 6.1
Answer:one way is to simply use slope intercept form or point slope form
point slope: y-y1=m(x-x1) where m=slope and you are given a point (x1,y1)
slope intercept: y=mx+b where m=slope and b=yintercept
slope=(y2-y1)/(x2-x1) when given points (x1,y1) and (x2,y2)
we are given
(3.5,8.2) and (2,7.3)
slope=(7.3-8.2)/(2-3.5)=-0.9/-1.5=0.6
slope=0.6 or 6/10
point slope
use any point
y-y1=m(x-x1)
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
slope intercept wouold be point slope but solve for y by distributing m and adding y1 to both sides
take first one
y-7.3=0.6(x-2)
y-7.3=0.6x-1.2
add 7.3 both sides
y=0.6x+6.1
equation is
POINT SLOPE FORM:
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
SLOPE INTERCEPT FORM:
y=0.6x-6.1
Step-by-step explanation:
The (least common multiple, greatest common factor) of 5 and 10 is 5.
Answer:
the Greatest common factor is 5
The function P(h) = 21h represents the total salary at a rate of $21 per
hour, P. as a function of the number of hours worked, h.
Find the total salary, when the number of hours worked is 34.
Replace h with 34:
p(h) = 21(34)
Multiply :
21x 34 = 714
Answer: $714
Find the vertices of the dilated figure whose original coordinates are A (0, 0), B (0, 9), C (8, 8) and D (10, 0) which is dilated by a scale factor of 6.
A' (0, 0), B' (0, 54), C' (48, 48), and D' (60, 0)
A' (0, 0), B' (0, -54), C' (-48, 48), and D' (60, 0)
A' (0, 0), B' (0, 54), C' (48, -48), and D' (60, 0)
A' (0, 0), B' (0, 54), C' (48, 48), and D' (-60, 0)
Answer:
A
Step-by-step explanation:
when dilating by a scale factor of 6, you are starting at the origin and just making it larger by a factor of 6, so you multiply the coordinates by 6 and get A
An item is regularly priced at $35 It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?
Answer:
14 dollars off the original price
Step-by-step explanation:
Sorry for the spam, I just really need help.
20% tip on a bill of $22.41
Answer:
5 people - Tip per person = $0.90
Total per person = $5.39
10 people - Tip per person = Tip per person $0.45
Total per person = $2.70
Answer: the answer is $4.49 because if your bill is 22.41 and you divide that by 20 its 4.482 so then you add the 2 to the 8 which is 9 so 4.49
Find (fog)(x) (gof)(x), if f(x) = 1 - 5x; g (x) = |2x + 3| x
Step-by-step explanation:
f (x) = 1 - 5x
g (x) = 2x + 3
find (fog) (x)
it's a composite function so basically we substitute x = 2x + 3 where we see x in f (x) = 1 - 5x
so doing that we'll get
1 - 5(2x + 3)
next expand your brackets
1 - 10x + 15
equate to 0 to make things easier
1 - 10x + 15 = 0
make x the subject
1 + 15 = 10x (this is the same as 10x = 1 + 15)
x = 16/10 (you can leave it as a fraction)
fog(x) = 16/10
find gof (x)
we'll do the same thing again
2(1-5x) + 3
2 -10x + 3 = 0
2 + 3 = 10x
10x = 5
x = 5/10 (reduce)
x = 1/2
gof (x) = 1/2
Morgan is buying packages of hotdogs and hamburgers. She is spending a total of $25. Hamburgers cost $9 and hotdogs cost $2. She bought a total of 9 packages.
Morgan wrote the following system of equation to model the scenario:
What does the variable "y" represent?
Step-by-step explanation:
I don't see the equations.
but I can build some myself :
x = number of hamburger packages
y = number of hotdogs packages
x + y = 9
9x + 2y = 25
the first equation tells us after moving y to the right side
x = -y + 9
and that we are using now in the second equation :
9(-y + 9) + 2y = 25
-9y + 81 + 2y = 25
-7y = -56
y = 8
x = -y + 9 = -8 + 9 = 1
Determine the value Y, if X is -2
Y=X-12
Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.
A)Write a formula for the area of the figure below. (5pts)
Answer:
A = 8a + [tex]\frac{1}{2}[/tex]πa²
Step-by-step explanation:
The figure consists of a rectangle and a semi- circle
area of rectangle = 4 × 2a = 8a
area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )
= [tex]\frac{1}{2}[/tex]πa²
Then area (A ) of figure is
A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term
= [tex]\frac{1}{2}[/tex] a(16 + aπ)
Find the value of f.
Answer:
f =18
Step-by-step explanation:
The sum of the angles of a triangles is 180
3f+6f+f = 180
10f = 180
Divide by 10
10f/10=180/10
f = 18
Use exponents to write the prime
factorization of 48.
Answer:
48=2^4x3
Step-by-step explanation:
48=2x2x2x2x3
48=2^4x3
Hope this helps :)
need help with this.
First one is for number 2 and vice versa.
8y is a ........... in the............ 7 x + 8y
Answer:
Eight is a coefficient in the equation 7x+8y