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3 years ago

Evaluate p+q+p; use p=1, and q=2

Mathematics

1 answer:

mario62 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Plug p and q in. 1+2+1=4. So 4 is the answer

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Find limit as x approaches 2 from the left of the quotient of the absolute value of the quantity x minus 2, and the quantity x m

Molodets [167]

Answer:

$\lim_{x \to 2^-} \frac{|x-2|}{x-2}=-1$ .

Step-by-step explanation:

We want to find $\lim_{x \to 2^-} \frac{|x-2|}{x-2}$ .

By definition:

$|x-2|=\left \{ {{x-2,\:if\:x\:>\:2} \atop {-(x-2),\:if\:x\:$

Since we want to find the Left Hand Limit, we use f(x)=-(x-2)

$\implies \lim_{x \to 2^-} \frac{|x-2|}{x-2}=\lim_{x \to 2} \frac{-(x-2)}{x-2}$ .

$\implies \lim_{x \to 2^-} \frac{|x-2|}{x-2}=\lim_{x \to 2} (-1)$ .

The limit of a constant is the constant.

$\implies \lim_{x \to 2^-} \frac{|x-2|}{x-2}=-1$ .

8 0

3 years ago

A car rental costs $50 for the first day. Additional days cost $35 per day, unless the car is rented for 7 days or more, in whic

son4ous [18]

Answer:

$\$50+\$31.5x$

Step-by-step explanation:

Let

x------> the number of days

y----> the cost of renting a car

we know that

For $x$

$y=\$50+\$35x$

For $x\geq 7\ days$

The rate is equal to

$0.90*\$35=\$31.5$

$y=\$50+\$31.5x$

In this problem. the car has been rented for more than a week

therefore

$x> 7\ days$

The cost of renting a car is equal to

$y=\$50+\$31.5x$

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3 years ago

In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F

nevsk [136]

The third side of triangle ABC is AB. Using the Pythagorean Theorem, its length is 12.
12² + 16² = 20²

∠F is congruent to ∠C and so the sin(∠F) = sin(∠C)

The sin(∠C) = opposite/hypotenuse
= |AB| / |AC|
= 12/20
= 3/5
= 0.6

Answer:
Yes, it is 0.6

6 0

3 years ago

Find sin D sin E cos D and cos E

Andrew [12]

9514 1404 393

Answer:

sin(D) = cos(E) = (√3)/2

cos(D) = sin(E) = 1/2

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and right triangle sides.

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

For this diagram, this means ...

sin(D) = cos(E) = (13√3)/26 = (√3)/2

cos(D) = sin(E) = 13/26 = 1/2

5 0

3 years ago

I’m confused on this question

Rudiy27

Answer:

Step-by-step explanation:

A triangle always has a total of 180 degrees

Since we know two we can solve for x

76+41+x=180

x=63

7 0

3 years ago

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Evaluate p+q+p; use p=1, and q=2​

Evaluate p+q+p; use p=1, and q=2