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lord [1]
3 years ago
15

2x+3=-7 What is the answer?

Mathematics
1 answer:
Mashcka [7]3 years ago
4 0

Hi there! With equations like this we want to get our variable on one side and and our constant on the other.

So with 2x + 3 = -7 you'd subtract the constant 3 from both sides of the equal sign to get 2x = -10, then you'd divide both sides by 2 to get x = -5. If you double check your work by replacing x in the original equation with our answer we'd find that 2(-5) + 3 = -7 is correct.

Hope you find this helpful :)

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Write 1/4 as a decimal.
n200080 [17]

Answer:

0.25

Step-by-step explanation:

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3 years ago
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Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?
NemiM [27]

Answer:

x squared over 4 plus y squared over 8 equals 1

Step-by-step explanation:

The general equation of ellipse is given as;

(x²/a²) + (y²/b²) = 1

The coordinates of a foci are: (±c, 0) where;

c² = b² - a²

However, we know that equation of directrix is; x = ±a/e

Now, Directrix is given ±4

Thus, a/e = 4

a = 4e

We also know that c = ae from ellipse foci coordinates.

Thus, ae = 2

since ae = 2, then (4e)e = 2

4e² = 2

e² = 2/4

e = 1/2

Thus;

a = 4 × 1/2

a = 2

Since c² = b² - a²;

2² = b² - 2²

4 = b² - 4

b² = 8

From (x²/a²) + (y²/b²) = 1, we can put our values to get;

x²/4 + y²/8 = 1

6 0
3 years ago
The probability of it snowing in Eastern Canada tomorrow is 0.4. The probability of it snowing in Western Canada tomorrow is 2/5
Viktor [21]

Answer:

Neither

Step-by-step explanation:

They both have the same probability because 2/5 and 0.4 have the same value.

6 0
3 years ago
Which of the following is a correct unit of weight: kilogram, newton, grams, slugs
AveGali [126]

Answer:

gram

Step-by-step explanation:

5 0
3 years ago
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The time a projectile spends in the air can be modeled by the equation t² -t - 8 = 0, in which t represents the amount of time t
s2008m [1.1K]

Answer:

(t - 4)(t + 2) = 0  

Step-by-step explanation:

The general formula for a quadratic expression is

y = ax² + bx + c

Your expression is

y = t² - 2t - 8 = 0

By comparison, we see that

a = 1; b = -2; c = -8

1. Find two numbers that multiply to give ac and add to give b.

In this case, find two numbers that multiply to give -8 and add to give -2.

It helps to list the factors of  -8.

They are ±1, ±2, ±4, and ±8

After a little trial and error, you should find the numbers -4 and +2.

-4 × 2 = -8, and -4 + 2 = -2)

2. Rewrite the middle term with those numbers

t² -4t + 2t - 8 = 0

3. Factor the first and last pairs of terms separately

t(t - 4) +2(t - 4) = 0

4. Separate the common factor

The common factor is t - 4.

(t - 4)(t + 2) = 0

8 0
3 years ago
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