Help me out please and thank you

Answers

Answer 1

Answer:

Answer: 1

========================================================

Explanation:

We're given the height in relation to base BC, so we need to find the length of this base. This is the same as finding the distance from B to C.

Turn to the distance formula

$d = \text{Distance from B to C}\n\nd = √((x_1-x_2)^2+(y_1-y^2)^2)\n\nd = √((-2-(-3))^2+(-1-(-2))^2)\n\nd = √((-2+3)^2+(-1+2)^2)\n\nd = √((1)^2+(1)^2)\n\nd = √(1+1)\n\nd = √(2)\n\n$

Coincidentally, the base and height are the same. This won't always be the case.

Now we can find the area of the triangle

$A = \text{Area of triangle}\n\nA = (1)/(2)*\text{Base}*\text{Height}\n\nA = (1)/(2)*√(2)*√(2)\n\nA = (1)/(2)*√(2*2)\n\nA = (1)/(2)*√(4)\n\nA = (1)/(2)*2\n\nA = 1\n\n$

The area of the triangle is 1 square unit.

See diagram below.

Related Questions

Find the exact values of the numbers c that satisfy the conclusion of the Mean Value Theorem for the interval [−2, 2]. (Enter your answers as a comma-separated list.)
The following table shows claim amounts and their probabilities for an insurance company that offers homeowners’ insurance policies. Calculate the expected claim amount. That is, on average, how much will the insurance company have to pay in claims per policy holder?$2250$5000$7500$3250
How to do long division?
Tyrone swam eight less than three times as many laps as Marcia if Tyrone swam 13 laps how many laps did Marcia swim
What is the solution to the equation -3(h+5)+2=4(h+6)-9

Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with thenumber of hours she works, how many hours would she need to work to earn an
additional $260?

Answers

Given:

Karen earns $54.60 for working 6 hours.

Amount she earns varies directly with the number of hours she works.

She need to work to earn an additional $260.

To find:

Number of hours she need to work to earn an additional $260.

Solution:

Let the amount of earnings be A and number of hours be t.

According to question,

$A\propto t$

$A=kt$ ...(i)

where, k is constant of proportionality.

Karen earns $54.60 for working 6 hours.

$54.60=k(6)$

Divide both sides by 6.

$(54.60)/(6)=k$

$9.1=k$

Put k=9.1 in (i).

$A=9.1t$

Substitute A=260 in the above equation.

$260=9.1t$

Divide both sides by 9.1.

$(260)/(9.1)=t$

$28.5714=t$

$t\approx 29$

Therefore, she need to work extra about 29 hours to earn an additional $260.

Finding second Derivatives In Exercise,find the second derivate.
f(x) = 5e - x - 2e - 5x

Answers

Answer: The second derivative would be

$f''(x)=5e^(-x)-50e^(-5x)$

Step-by-step explanation:

Since we have given that

$f(x)=5e^(-x)-2e^(-5x)$

We will find the first derivative w.r.t. 'x'.

So, it becomes,

$f'(x)=-5e^(-x)+10e^(-5x)$

Then, we will find the second derivative w.r.t 'x'. $f''(x)=5e^(-x)+10* -5e^(-5x)\n\nf''(x)=5e^(-x)-50e^(-5x)$

Hence, the second derivative would be

$f''(x)=5e^(-x)-50e^(-5x)$

A project manager can interpret several things from data displayed in a histogram. If something unusual is happening, the histogram might be ___________. a. Flat b. Skewed c. Bell-shaped d. S-shaped

Answers

Answer:

Skewed

Step-by-step explanation:

A project manager can interpret several things in a histogram. If something unusual happening, the histogram is said to Skewed. When the histogram is Skewed it means that many of the values of the graph are falling on only one side of the mean. It can be either on left side( left skewed) or on the right side called right skewed

What is the coefficient in this expression?
14y - 7
7
y
14
-

Answers

Answer:

The answer is C. 14

Step-by-step explanation:

A car rental agency advertised renting a car for $24.95 per day and $0.28 per mile. If Greg rents this car for 3 days, how many whole miles can he drive on a $250 budget?miles (Round down to the nearest whole mile.)

Answers

Answer/Step-by-step explanation:

Greg rent the car for 3 day so 3 x 24.95= $74.85 off the top without driving a single mile.

If he has a budget of $250, his remainder budget for mileage is $250 - $74.85 = $175.15.

How many miles he can travel at $0.28/mile with $175.15 budget?

Greg can drive $175.15/0.28 = 625.53 or 625 Miles

Find three consecutive integers whose sum is 216. (Hint: if n represents the smallest of the three integers, n + 1 and n + 2 representthe other two numbers.)