The line passing through (-3 , -6) and (d, -5d) has a gradient of -3.
Find the value of d.
Answers
Answer:
d = 7.5
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (d, - 5d)
m = [tex]\frac{-5d+6}{d+3}[/tex] = - 3 ( multiply both sides by (d + 3) )
- 5d + 6 = - 3(d + 3)
- 5d + 6 = - 3d - 9 ( add 3d to both sides )
- 2d + 6 = - 9 ( subtract 6 from both sides )
- 2d = - 15 ( divide both sides by - 2 )
d = 7.5
Related Questions
Please be a help and help with my math and show your work, please.
Answers
Answer:
area = 2184 ft²
Step-by-step explanation:
height² = 60² - 36² = 3600 - 1296 = 2304
height = √2304 = 48
base = 36 + x
x² = 73² - 48² = 5329 - 2304 = 3025
x = √3025 = 55
base = 36 + 55 = 91
area = 1/2(h)(b) = 1/2(48)(91) = 2184 ft²
Need math help worth 20 point helppppppp plzzzzz
Answers
Answer:
Hi! I believe the answer is B. 3
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Each month, the charge for a cell phone plan consists of a flat fee of $42, plus $12 per gigabyte of data.
Which equation represents the total monthly charge for the plan, C(d) dollars, as a function of the number
of gigabytes of data, d ?
A. C(d) = 12(42)d
B. C(d) = 12d +42
C. C(d) = 42d + 12
D. C(d) = (12 + 42)d
Answers
Answer:
B.) C(d)= 12d+42
Step-by-step explanation:
A flat fee means it is only paid once and doesn't increase or decrease.
The gigabytes of data fluctuate how much you pay the 12 dollar amount.
Meaning 12d represents the price of data and +42 shows the flat rate.
Overall giving us the equation C(d)= 12d+42.
What is the GCF in the following expression, 6y+18 PLEASE HELP ASPAP!!!
Answers
Hope ya have a good one ^v^
name the plane represented by the points in the box
A.fbcg C.fecb
B.bade D.fkgi
need now please help
Answers
Answer:
The plane represented in the box is: fbcg
Step-by-step explanation:
Given
The attached box
Required
Which of the given points is a plane in the box
To do this, we simply check if the points are connected i.e. if there is a directed between each of the points of the plane.
A. FBCG
Point F links to B, (by drawing a vertical line from F)
Point B links to C, (by drawing a right horizontal line from B to C)
Point C links to G, (by drawing a vertical line from C down to G)
Point G links to F, (by drawing a left horizontal line from G to F)
Hence, FBCG is a plane on the box.
This is not so for other options
Uma professora de artes pediu aos alunos para montarem mosaicos unindo peças. Nesse mosaico, essas peças deveriam ficar sempre ligadas pelos vértices, não poderiam se sobrepor e não deveria sobrar espaço entre elas. Além disso, para fazer esse mosaico, essa professora solicitou que todos os alunos utilizassem octógonos regulares, como o que está apresentado abaixo.
M100839H6_1
Para compor esse mosaico, junto com esses octógonos, os alunos tinham à sua disposição as peças do quadro abaixo.
M100839H6_2
Quais dessas peças os alunos poderiam escolher para compor esse mosaico?
I e III.
I, III e IV.
I e IV.
II, III e IV.
III e IV.
Answers
Answer:
coloquei a letra d- II, III e IV
Step-by-step explanation:
Answer:
é a letra D (II, III e IV)
Step-by-step explanation:
se você reparar no ângulo interno da figura do octógono está mostrando 135º e a primeira figura que no caso não encaixa mostra 60º, fazendo essa soma daria um total de 195º, o que passa de 180º que é a metade de uma circunferência, então não daria certo, ficaria uma parte sobrando, não se encaixando no mosaico.
4. A blanket shop had 27 feet of fabric. If they wanted to use the fabric to make 5 blankets, each the same length, how long would each one be? Between what two whole numbers does your answer lie?
in test need help
will give brainiest
Answers
Answer:
5 2/5. 5 or 6, I'm not completely sure though.
Step-by-step explanation:
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.12 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Answers
Answer:
82.02
Step-by-step explanation:
78.12 x 0.2 = 15.62 tip
78.12 x 0.15 = 11.72 discount
78.12-11.72 = 66.40 discounted meal price
66.40 + 15.62(tip) = 82.02 total meal price
True or False: If I solve for the angle measure to the nearest 1/10th of a degree, the answer is 50.90
Answers
Speeds of pulleys are inversely proportional to the length of their diameter. Diameter of pulley A is 20 cm. and diameter of pulley B is 10 cm. If B turns at 348 rpm, how fast does pulley A turn?
Answers
Answer:
174 rpm
Step-by-step explanation:
The question says that the speed is inversely proportional to the length. Thus, Inverse means, as the diameter increases, the speed reduces, or as the diameter reduces, the speed increases.
Thus, from the question, if diameter A is 20, and B is 10, then definitely, the speed will increase from 348 to a higher rate. Mathematically, we have
20 / 10 = 348 / x, where x is the missing speed.
2 = 348 / x
x = 348 / 2
x = 174 rpm
Therefore, the pulley A must have been running at a speed of 174 rpm
The floor tiles in the Jackson family's kitchen are squares
that measure 8 inches to a side. Each grid square in the
drawing measures inch to a side.
Which is the scale of the drawing?
Answers
Answer:
Option D, The scale of the drawing is 1 inch : 27 inch
Step-by-step explanation:
The complete question is
The floor tiles in the Jackson family’s kitchen are squares that measure 6
3 /4 inches to a side. Each grid square in the drawing measures 1 /4 inch to a side. Which is the scale of the drawing?
A. 1 : 8 3 /4
B. 1 : 10
C. 1 /4 : 27
D. 1 : 27 n
Solution
Given,
Measurement of the tile = 27/4 inches
Side of the drawing = 1/4 inches
The scale of the drawing
1/4 inch of drawing = 27/4 inch of tile
This gives - 1 inch of the drawing = 27 inch of the tile
The scale of the drawing is 1 inch : 27 inch
Hence, option D is correct
The length of a rectangle is 3cm more than the width. The area is 70cm^2. Find the dimensions of the rectangle
Answers
Length would be x + 3
Area = L * W
Make an equation
(x) * (x+3) = 70
x^2 + 3x = 70
x^2 + 3x - 70 = 0
Quadratic formula
(-3 +/- rt 3^2 - 4 * 1 * (-70))/(2 * 1)
x1 = (-3 + 17)/2, x2 = (-3-17)/2
x = 7, x = -10
Dimension cannot be negative
Solution: width = 7
Length = 10
the vertex of f(x) = 3x ^2+ 5x + 2 is a:
minimum
maximum
none of these
Answers
Answer:
minimum
Step-by-step explanation:
Given a quadratic in standard form f(x) = ax² + bx + c ( a ≠ 0 )
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
f(x) = 3x² + 5x + 2 ← is in standard form
with a = 3
Since a > 0 then vertex is a minimum
Combine like terms for the following expressions:
2−3x−x−6
Answers
Answer:
- 4 - 4x
Step-by-step explanation:
2 - 3x - x - 6
2 - 6 - 3x - x
- 4 - 4x
-TheUnknownScientist
In ΔJKL, the measure of ∠L=90°, LK = 12, KJ = 37, and JL = 35. What ratio represents the secant of ∠K?
Answers
Answer:
Sec <K = 37/12
Step-by-step explanation:
Given the following measure
∠L=90°
LK = 12
KJ = 37, and
JL = 35.
Considering angle K
JL = opposite
KJ =hypotenuse
LK = adjacent
Using SOH CAH TOA identity
Cos theta = adj/hyp
Cos m<K = LK/KJ
cos m<K = 12/37
Since sec theta = 1/cos thets
Sec <K = 1/cos<K
Sec <K = 1/(12/37)
Sec <K = 37/12
What is 1/3 plus 3/4
Answers
Answer:
1
Step-by-step explanation:
an administrative assistant at a software company often provides breakfast when there is a morning meeting. for last weeks sales, she purchased 3 dozen doughnuts and 5 dozen croissants, spending a total of $60. in preparation for yesterday's safety meeting, she spent $65 on 4 dozen doughnuts and 5 dozen croissants. assuming she purchased the items at the same bakery both times, how much does a dozen of each cost?
Answers
Answer:
donuts: $5.00
croissants: $9.00
Step-by-step explanation:
c - croissants
d - donuts
(1) 3d + 5c = 60
(2) 4d + 5c = 65
solve for 5c in equation (1)
5c = 60 -3d
substitute 5c = 60-3d into (2)
4d + (60 - 3d) = 65
d + 60 = 65
d = 5
to find c substitute d = 5 into (1)
3(5) + 5(c) = 60
15 + 5c = 60
5c = 45
c = 9
PLEASEEE HELP WILL GIVE BRAINLIEST
Answers
Answer:
volume = 160 cubic units
Step-by-step explanation:
volume = (6 x 4 x 5) + (4 x 2 x 5) = 160 cubic units
On a road trip, you stop to get gas when there is 1 4of a tank of gas left. You get the tank filled and this takes 12 gallons of gas. How much gas does the car's tank hold?
Answers
Answer: 16 gallons
Step-by-step explanation:
Since we are given the information that 1/4 of the gas is left, it simply means that (1 - 1/4) = 3/4 has been used.
The tank was filled and this was 12 gallons of gas.
Let the gas that the tank hold be represented by x. Therefore,
3/4 of x = 12
3/4 × x = 12
0.75x = 12
x = 12/0.75
x = 16
The tank holds 16 gallons of gas.
The sum of the Interior angles of a polygon is the product of 180 and 2 less than the number of the sides.
If S is the sum of the interior angles of a polygon with n sides, then which equation represents the relationship between S and n?
A. 180S = 6-2
B. 1805 = 2-n
C. S = 180 (2)-n
D. S= 180 (n - 2)
Answers
Answer:
It's A I think
Step-by-step explanation:
I guessed
Terry bought 7 packs of dodger peanuts at the game.If each pack holds 1 2/3 ponds of peanuts how many pounds of peanuts did terry purchase in total
Answers
Answer:
11 2/3 pounds
Step-by-step explanation:
If a pack contain 1 2/3 pounds, 7 packs would contain :
1 2/3 x 7
[tex]\frac{5}{3}[/tex] × 7 = 35/3 = 11 2/3 pounds
The area of a triangle can be found based on the area of a _____. circle trapozoid parallelogram
Answers
Answer:
Trapezoid
Step-by-step explanation:
A triangle can be thought of as a trapezoid with one of the side length being 0.
Answer:
Parallelogram
Step-by-step explanation: "Surprisingly, this triangle (or any triangle) is related to a parallelogram." Found it in my text (Calvert Academy school)
PLZ HELP! QUESTION IS BELOW! :D
Answers
Answer:
40 ft^2
Step-by-step explanation:
Think of the area of the green rectangle first. Then subtract the area of the smaller brown rectangles.
area of green carpet = 4 ft * 12 ft - 3 ft * 2 ft - 1 ft * 2 ft
area = 48 ft^2 - 6 ft^2 - 2 ft^2
area = 40 ft^2
Answer: 40 ft^2
Find the exact value of x.
Answers
Answer:
x = 6
Step-by-step explanation:
(3√2)² = 18
using the Pythagorean theorem:
x² = 18 + 18 = 36
x = √36 = 6
Find the value of x. Round your answer to the nearest tenth. Don't forget the appropriate units.
Answers
Answer:
this is the ans
Step-by-step explanation:
hope it helps!!!
Suppose you have two numbersPandQ. Explain carefully why the product of their greatest commondivisor and their least common multiple is equal toP Q.
Answers
Answer:
Greatest common divisor (P,Q) × Least common multiple (P,Q) = PQ
Step-by-step explanation:
Given: Two numbers are P and Q
To prove: product of their greatest common divisor and their least common multiple is equal to PQ
Solution:
Consider the following relation:
Greatest common divisor (P,Q) × Least common multiple (P,Q) = Product of numbers P and Q
Therefore,
Greatest common divisor (P,Q) × Least common multiple (P,Q) = PQ
Multiple Choice
Simplify each polynomial.
6g + 8k – 9g + 2k
A. 3g + 10k
B. –3g + 10k
C. 17gk
D. 10k – 3
Answers
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
The final polynomial after simplifying is -3g + 10k.
Option B is the correct answer.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
6g + 8k – 9g + 2k
Add like terms.
6g - 9g + 8k + 2k
-3g + 10k
Thus,
The final polynomial after simplifying is -3g + 10k.
Option B is the correct answer.
Learn more about polynomials here:
https://brainly.com/question/2284746
#SPJ2
1. A rectangle and a triangle have the same area.
The dimensions of the rectangle are 3 cm and 10 cm. The base of the triangle is 6 cm.
What is the height of the triangle? How do you know?
Answers
Answer: 30
Step-by-step explanation: I think the height of the triangle is 30 cm because the rectangle has dimensions of 3 cm and 10 cm so I multiplied that which equals 30 then I thought 6 x 5 = 30 so 30 cm
btw, if i'm wrong please don't get mad, i'm trying my best lol
Answer:
H=10
Step-by-step explanation:
First, let's find the area of the rectangle:
L*W
the length is 3 and the height is 10 so substitute and you get:
10*3 = 30
now let's find what the area of the triangle should be:
B*H/2 =30(because the area is the same)
the base is 6 and the height is unknown, now lets fully substitute:
6H/2=30
3H=30
H=10
Hope this helps :)
can someone help with median and mode
Answers
Median is the number in the middle of the data. If you were to line up all of these numbers and count which number is in the very middle, that would be the median! The mode is the number that appears the most in data or charts. You would count and see which number is the most common in data! I hope I helped!
Solve the following expression when
k= 12 and v = 6
ķ + 5 - 4v + 12
Answers
Answer:
-5
Step-by-step explanation:
[tex]\frac{12}{6} + 5 - 4(6) + 12 = -5[/tex]
Have a great day :)
