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2 years ago

What is the value of x?

Mathematics

1 answer:

7nadin3 [17]2 years ago

4 0

Answer:

x = 58°

Step-by-step explanation:

51 = 1/2(160 - x)

102 = 160 - x

102 - 160 = -x

-58 = -x

x = 58°

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one x-intercept for a parabola is at the point (-6,0) find the other x-intercept for the parabola defined by this equation y=x^2

Tanya [424]

Hello.

First off, you can factor this equation to find the missing x-intercept.

y = x² + 8x + 12
y = (x + 6)(x + 2)

Then, you can use the zero product property to find the x values.

x + 6 = 0 x + 2 = 0
- 6 - 6 - 2 - 2
x = -6 x = -2

As an ordered pair: (-6, 0) and (-2, 0)

Thus, your answer is x = -6, -2.

6 0

2 years ago

Find a common difference of the arithmetic sequence -2, -1 4/5, -1 3/5, -1 2/5,

elixir [45]

Answer:

The common difference is $\frac{1}{5}$ or 0.2

Step-by-step explanation:

Given:

Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,

First term = a₁ = -2

Second term = a₂ = $\frac{-9}{5}$

Third term = a₃ = $\frac{-8}{5}$

Fourth term = a₄ = $\frac{-7}{5}$

To Find:

Common Difference = d = ?

Solution:

Formula for Common Difference d , $\textrm{common difference}= \textrm{Second Term} -\textrm{First Term}=\textrm{Third Term}-\textrm{Second Term}$

$\textrm{common difference} = a_{2}- a_{1}= a_{3}- a_{2}=a_{4}- a_{3}$

∴ $d = \frac{-9}{5}-(-2)\\d=\frac{-9}{5}+2\\d=\frac{1}{5}\\ \therefore d =0.2\\$

The common difference is $\frac{1}{5}$ or 0.2

6 0

2 years ago

Solve for j<br><br> -1/3 = j/4 - 10/3

fgiga [73]

Answer: J=12

Explanation: To make this equation easier to solve, you can make everything a whole number (a.k.a. Remove the fractions). To do so, you can multiply everything in this equation by the Least Common Multiple (LCM) of all the denominators, which is 12. The equation now becomes:

-4=3J-40

Then, solve it using normal algebra:

-4=3J-40
36=3J
J=12

Much easier, right?!

Hope that helps シ

6 0

2 years ago

Deandre can run 5 miles in 30 minutes.<br> How many minutes per mile is that?

Karolina [17]

6 minutes per mile.

As in, 30/5= 6

7 0

2 years ago

Read 2 more answers

While playing games on a particular smart phone, 1% of the battery is drained every five minutes of game play. The battery start

Nostrana [21]

Answer:

B(75) represents the percent of battery full after 75 minutes of game play

Step-by-step explanation:

Let m represent the number of minutes of game play. If 1% of the battery is drained every five minutes of game play, then after m minutes of game play $\dfrac{m}{5}\%$ was drained.

The battery starts off at 80% full. After m minutes the battery will have

$B(m)=80-\dfrac{m}{5}$

percent full.

When $m=75$ minutes, then

$B(75)=80-\dfrac{75}{5}=80-15=65\%.$

8 0

2 years ago