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pychu [463]
3 years ago
6

Which values for a b will create infinitely many solutions?

Mathematics
1 answer:
Stels [109]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Given the 2 equations

4x - Ay = 15 → (1)

- 4x + 6y = B → (2)

The system will have infinitely many solutions if the equations are equal

Multiply (2) by - 1

4x - 6y = - B

Equations are now equal, thus equate coefficients of relevant terms

- Ay = 6y ⇒ A = - 6

- B = 15 ⇒ B = - 15

Thus A = - 6, B = - 15 → D

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Tom wants to place a photograph that is 8.5 inches wide on his science fair poster. His poster board is 21.25 inches wide. How f
SOVA2 [1]

Answer:

6 3/8 inches (6.375 inches)

Step-by-step explanation:

For simplicity we'll assume that both the photo and the poster board are square.  To determine the width of the border, subtract 8.5 inches from the poster board width 21.25 inches, obtaining 12.75 inches, and then divide that 12.75 inches by 2:  6.375 inches (6 3/8 inches).  

Set the photo 6 3/8 inches from each edge of the poster board.

6 0
3 years ago
Someone help me please
Salsk061 [2.6K]

Important notes:

3 sides 1 angle - COSINE RULE

2 sides 2 angle - SINE RULE

since, the question wants to find the length of BC. In the end we will have 3 sides and 1 angle and use cosine rule

formula of cosine rule:

a² = b² + c² - 2bc Cos A° (to find the length)

Cos A° = b² + c² - a² / 2bc ( to find the angle, if there is given three sides and have to find the angle)

So just substitute,

a² = 13² + 15² - 2(13)(15) Cos 95°

a = 20.6 or 21

5 0
3 years ago
Does the function model exponential growth or decay? f(t)=1/4⋅4^t
yarga [219]

Answer:

This is an exponential decay

Because the base of the exponent is 1/4.4 which is less than 1

Step-by-step explanation:

What is exponential growth?

when the base of our exponential is bigger than 1, which means those numbers get bigger.

What is exponential decay?

when the base of our exponential is in between 1 and 0 and those numbers get smaller.

6 0
3 years ago
2) If one variable increases in value and the other variable decreases in value, the variables have a(n) ________ relationship.
max2010maxim [7]

Answer:

inverse

Step-by-step explanation:

3 0
3 years ago
Write the equation of a line that is
zvonat [6]

Answer:

y=0.5x-5

Step-by-step explanation:

Since the equation is parallel, this means that the slope remains the same which is 0.5.

The remaining thing to do is to find b or y-intercept. To do that, the point (6,-2) and the slope of 0.5 will be used.

-2=0.5(6)+b

When solving for b, it will equal to -5.

Therefore the new equation that is parallel is y=0.5x-5

6 0
3 years ago
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