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3 years ago

Which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9?

2 answers:

4 0

Subsitute in all to see which ones have tthose solutions
subsitute 3 for x and 9 for y

A works
B is false
C is false
D is true
E is false
F is false

answer is A and D

SashulF [63]3 years ago

3 0

Its out of A and D ..........................

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Line A passes through the points (-5, 1) and (5, 11).

11111nata11111 [884]

Line A: $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{11 - 1}{5 - (-5)} = \frac{10}{5 + 5} = \frac{10}{10} = 1$
y - y₁ = m(x - x₁)
y - 1 = 1(x - (-5))
y - 1 = 1(x + 5)
y - 1 = 1(x) + 1(5)
y - 1 = x + 5
   + 1    + 1
   y = x + 6

Line B: $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{20 - (-1)}{-3 - 4} = \frac{20 + 1}{-7} = \frac{21}{-7} = -3$
   y - y₁ = m(x - x₁)
y - (-1) = -3(x - 4)
   y + 1 = -3(x) + 3(4)
   y + 1 = -3x + 12
   - 1 - 1
   y = -3x + 11

y = x + 6
y = -3x + 11

   x + 6 = -3x + 11
+ 3x     + 3x
   4x + 6 = 11
       - 6   - 6
   4x = 5
      4   4
       x = 1¹/₄
   y = x + 6
   y = 1¹/₄ + 6
   y = 7¹/₄
     (x, y) = (1¹/₄, 7¹/₄)

The answer is B.

4 0

4 years ago

If P(A) = 1/6 , P(B) = 5/12, and P(A\B) + P(B\A) = 7/10 Find P(AUB)

Nesterboy [21]

Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2

<h3>Conditional probability</h3>

Probability is the likelihood or chance that an event will occur. Given the following parameters

If P(A) = 1/6

P(B) = 5/12

P(A\B) + P(B\A) = 7/10

Required

p(AUB)

Recall that:

P(A|B)=P(AnB)/P(B)

P(B|A) = P(BnA)/P(A)

P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10

42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12

<u>Determine P(AUB)</u>

P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2

Hence the probability of P(AUB) is 1/2

Learn more on probability here: brainly.com/question/24756209

6 0

3 years ago

6) Salem Sue is a giant cow statue in North Dakota. The cow is 38 feet high. A real

exis [7]

The size of chicken at the form would be 111.8 inches.

Step-by-step explanation:

Given that,

The average height of cow = x1 = 4 feet 5 inches

x1 = 4 x 12 + 5 = 53 inches (12 inches in a feet)

The average height of chicken = y1 = 13 inches.

The height of cow statue at form = x2 = 38 feet

x2 = 38 x 12 = 456 inches

The height of chicken statue = y2 = ?

For this, the ratio of height in both the scenarios would be the same. Therefore,

x1/y1 = x2/y2

now, by putting the values

53/13 = 456/y2

y2 = (456x 13) / 53

y2 = 111.8 inches

Hence, the size of chicken at the form would be 111.8 inches.

6 0

4 years ago

Read 2 more answers

If f ( x ) = 3 x² + 4, solve for x when f(x)=31

ICE Princess25 [194]

Step-by-step explanation:

3x²+4=31

3x²=31-4

3x²=27

x²=27÷3

x²=9

x=±3

8 0

3 years ago

Read 2 more answers

What is the value of x?

iragen [17]

Answer:

80 degrees

Step-by-step explanation:

A triangle has 180 degrees so you have to add up the two angles with measurements you know (70 + 30= 100) and subtract 100 from 180

7 0

3 years ago

Read 2 more answers