What is the volume of the right?

Brums [2.3K]

1.your going to look at the squares in the background , now on the bottom they are six squares with a line in the middle. your going to put a dot or line on the bottom line of the triangle on each squares ending point (like if your creating a ruler without the tiny lines)2. Ok now if you take the line in the middle( thats all ready in the triangle) you can say that makes to right angle triangle's ,so the one on the left and the one on the right now the one in the left has three squares ( cause remember you had 6 squares but the line in the middle of the triangle splits the triangle into 2 right angle triangles which makes it 3) your going to take each dot and bring it to the top or head of the triangle and you should be done

hoped it helped !!!

6 0

3 years ago

Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equat

Nadya [2.5K]

9514 1404 393

Answer:

a. m = 2; y intercept = (0, 4); y = 2 x + 4

Step-by-step explanation:

The slope can be found using the formula ...

m = (y2 -y1)/(x2 -x1)

m = (18 -4)/(7 -0) = 14/7

m = 2

The y-intercept is the first given point: (0, 4).

The equation for the line in slope-intercept form is

y = mx + b

Here, we have m=2 and b=4, so the equation is ...

y = 2x +4

6 0

2 years ago

Solve the Anti derivative.

Alex Ar [27]

Answer:

$\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C$

General Formulas and Concepts:

Algebra I

Factoring

Calculus

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Trig Integration: $\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C$

Step-by-step explanation:

Step 1: Define

$\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx$

Step 2: Integrate Pt. 1

[Integral] Factor fraction denominator: $\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx$
[Integral] Integration Property - Multiplied Constant: $\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx$

Step 3: Identify Variables

Set up u-substitution for the arctan trig integration.

$\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx$

Step 4: Integrate Pt. 2

[Integral] Substitute u-du: $\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du$
[Integral] Trig Integration: $\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C$
[Integral] Simplify: $\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C$
[integral] Multiply: $\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C$
[Integral] Back-Substitute: $\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C$

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

7 0

2 years ago

What number times itself equals 196?

leonid [27]

number times itself equals 196

$= n * n = 196$

$14 * 14 = 196$

8 0

3 years ago

Read 2 more answers

8) BRAINLIEST AND 15 POINTS! PLS HELP ASAP

algol13

Answer:

a.) Between 0.5 and 3 seconds.

Step-by-step explanation:

So I just went ahead and graphed this quadratic on Desmos so you could have an idea of what this looks like. A negative quadratic, and we're trying to find when the graph's y-values are greater than 26.

If you look at the graph, you can easily see that the quadratic crosses y = 26 at x-values 0.5 and 3. And, you can see that the quadratic's graph is actually above y = 26 between these two values, 0.5 and 3.

Because we know that the quadratic's graph models the projectile's motion, we can conclude that the projectile will also be above 26 feet between 0.5 and 3 seconds.

So, the answer is a.) between 0.5 and 3 seconds.

4 0

3 years ago