Solve photo question. Mathematics again.

Answers

Answer 1

Answer: The point slope formula is m = $(y2-y1)/(x2-x1)$
Or y₂-y₁ = m (x₂-x₁)
m is slope
Given point: (8, -4)
Slope: $-(5)/(6)$

Substitute:
y₂-(-4) = $- (5)/(6)$ (x₂ - 8)
(minus minus = plus)
y₂ + 4 = $-(5)/(6)$ (x₂ - 8)

The last option is the answer.

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Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 grams in the other pan, the pans balance each other. Which equation can be used to find the weight of each steel ball?

Answers

Let n be a number of balls: n = 14

In one pan you have 8 balls: 8n
In the other pan you have the rest of balls (14 - 8 = 6) along with a weight of 20 grams = 6n + 20
So the pans are balanced:
8n = 6n + 20

Now, just solve the equation:
8n - 6n = 20
2n = 20
n = 20/2
n = 10
So, you know that a ball weights 10 grams.

Answer:

Let x represent the weight of one steel ball. One side will have 8 balls or 8x and the other side will have 14-8 or 6 balls (6x) and the 20 gram weight. 8x = 6x + 20.

Determine the quotient below

Answers

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$(18)/(7) / (9)/(6) = (18)/(7) * (6)/(9) = (12)/(7) \n$

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Answer:

12/7

Step-by-step explanation:

1. Convert to improper fraction:

2*7+4=18/7
1*6+3=9/6 (simplifies to 3/2)

2. Change sign and find reciprocal of second number

18/7*2/3

3. Multiply

18*2=36
7*3=21

4. Simplify

36 and 21 GCF = 3
Divide num and dem by 3
12/7 is final answer

Help plz i will make u a brainllest 24.Can you use the SSS Postulate or the SAS Postulate to prove abd=dca? 26 28

Answers

Answer: 24) C. SSS only

26) D. DH = HF

Step-by-step explanation:

24.

Statement Reason

1. BD = CA 1. Given

2. AB = CD 2. Given

3. AD = AD 3. Reflexive Property

4. ΔABD = ΔDCA 4. SSS Congruency Theorem

We have no information about the angles so cannot use SAS Theorem.

26. G H F

E H D

Line up the letters to find the congruent sides:

⇒ GH = EH

HF = HD

GF = ED

a cylinder with base are 169π ft^2 and a height twice the radius. what is the lateral area and surface area of the cylinder

Answers

$Area\ of\ base:A_B=169\pi\ ft^2\n\nA_B=\pi r^2\ \ \ (r-radius)\n\n\pi r^2=169\pi\ \ \ /:\pi\n\nr^2=169\n\nr=√(169)\n\nr=13\ (ft)\n\nH=2r\to H=2\cdot13=26\ (ft)$

$lateral\ area:A_L=2\pi rH\n\nA_L=2\pi\cdot13\cdot26=676\pi\ (ft^2)\n\nSurface\ area:A_S=2A_B+A_L\n\nA_S=2\cdot169\pi+676\pi=338\pi+676\pi=1014\pi\ (ft^2)$

Area of base = 169 π

r = √Area = 13 ft

Given, height = 2 x 13 = 26 ft.

Lateral surface area of cylinder = 2πrh = 2 x π x 13 x 26 = 676 π ft²

Total surface area = 2πr(r + h) = 2 x π x 13 x 39 = 1014 π ft²

Thus, lateral surface area is 676 ft² and total surface area is 1014 ft²

a culture started with 2000 bacteria after 6 hours it grew to 2400 bacteria how many bacteria will grow after 16 hours

Answers

started at 2000....after 6 hrs it grew to 2400...that means in 6 hrs, it grew 400.
6/400 = 16/x ....6 hrs to 400 = 16 hrs to x
this is a proportion, so we cross multiply
(6)(x) = (400)(16)
6x = 6400
x = 6400/6
x = 1066.67 <==

On Plato, the answer is 3253.

Factor out the greatest common factor. 3x + 27x^2Question 6 options:

3x(9x)

3x(x + 9x)

3x(x + 9x^2)

3x(1 + 9x)

Answers

27x² + 3x
3x(9x) + 3x(1)
3x(9x + 1)

The answer is D.

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Which decimal number is equal to 2/3 ? a. 0.6b. 0.66c. 0.6¯0.6¯d. 0.67

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Calculate angle ACDplease help