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Sliva [168]
2 years ago
9

Please help I am broke now D: Given a triangle with vertices A(4, -1), B(-3,0), and C(7,2), which points represent a

Mathematics
2 answers:
olya-2409 [2.1K]2 years ago
7 0

Answer:

Step-by-step explanation:

(C).  A( - 4, - 1 ), B( 3, 0 ), C( - 7, 2 )

mylen [45]2 years ago
3 0
A then B THEN XYNZ and the miracles they pull are crazy
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Pls answer this question
Paraphin [41]
What is the question
4 0
3 years ago
Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =
Dovator [93]

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

or

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

7 0
3 years ago
Help and explain explain !!!!!!!!!!
tigry1 [53]

Answer:

x=-1\text{ or }x=11

Step-by-step explanation:

For a=|b|, we have two cases:

\begin{cases}a=b,\\a=-b\end{cases}

Therefore, for 18=|15-3x|, we have the following cases:

\begin{cases}18=15-3x,\\18=-(15-3x)\end{cases}

Solving, we have:

\begin{cases}18=15-3x, -3x=3, x=\boxed{-1},\\18=-(15-3x), 18=-15+3x, 33=3x, x=\boxed{11}\end{cases}.

Therefore,

\implies \boxed{x=-1\text{ or }x=11}

3 0
3 years ago
Find the total number of outcomes when choosing a flavor of ice cream. ( Vanilla, strawberry, chocolate, butterscotch) a topping
Doss [256]

Answer:

16

Step-by-step explanation:

4 flavors

2 toppings  

2 containers

4x 2= 8

8x2=16

7 0
3 years ago
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Joe and Martina are both considering whether or not to use their savings to invest in stocks and mutual funds. They should keep
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I need this answer too
6 0
3 years ago
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