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2 years ago

Can someone explain how to do this?

Mathematics

1 answer:

KiRa [710]2 years ago

5 0

The total sum of all angles of a triangle is 180° so take 108° + 38°. Then take that and subtract it by 180

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I'm stuck on this question, any ideas? thanks

True [87]

Answer:

$\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}=-1/36$

Step-by-step explanation:

So we have the limit:

$\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}$

Let's remove the fractions in the denominator by multiplying both layers by (6+x)(6). So:

$\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}\cdot (\frac{(6+x)(6)}{(6+x)(6)})$

Distribute:

$=\lim_{x \to 0} \frac{(6)-(6+x)}{x(6+x)(6)}$

Simplify the numerator:

$=\lim_{x \to 0} \frac{6-6-x}{x(6+x)(6)}\\=\lim_{x \to 0} \frac{-x}{x(6+x)(6)}$

Both the numerator and the denominator have an x. Cancel:

$=\lim_{x \to 0} \frac{-1}{(6+x)(6)}$

Direct substitution:

$= \frac{-1}{(6+0)(6)}$

Simplify:

$=-1/36$

And that's our answer.

And we're done!

8 0

2 years ago

Read 2 more answers

Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f

daser333 [38]

Answer:

A. $f(x) = 10x + 8$

Step-by-step explanation:

The equation in slope-intercept form, $f(x) = mx + b$ , can be created to be used in finding Jack's pay. We need to find the slope (m) and the y-intercept (b) of the linear function.

Using two points (1, 18), and (1.5, 23), find the slope (m):

Slope (m) = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10$

Find b, by substituting x = 1, f(x) = 18, and m = 10 into $f(x) = mx + b$ .

$18 = (10)(1) + b$

$18 = 10 + b$

Subtract 10 from each side

$18 - 10 = b$

$8 = b$

$b = 8$

Substitute m = 10 and b = 8 into $f(x) = mx + b$ .

✅Thus, the linear function that can be used to find Jack's pay would be:

$f(x) = 10x + 8$

7 0

2 years ago

Simplify (x - y + 1) - (x + y - 1)

bulgar [2K]

<span>(x - y + 1) - (x + y - 1)

x - y + 1 - x - y + 1

= (x - x) + (y - y) + (1 + 1)

= -2y + 2

In short, Your Answer would be: -2y + 2

Hope this helps!</span>

3 0

3 years ago

Read 2 more answers

Salma Serra purchased a truck. last year she drove the truck 12,340 miles. the fixes costs totaled $1,428 , while variable cost

mario62 [17]

Answer:

20.61952

Step-by-step explanation:

hope it helps

8 0

3 years ago

Which type of statement has the form "if A, then B"?