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olganol [36]
3 years ago
8

Taylor is experimenting with the area of rectilinear shapes. She says, "If a shape has an area of 19 cm2, the length of it could

be 38cm.
Is she correct? Explain why.
Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0

Answer:

Step-by-step explanation:

Recall that the formula for the area of a rectangle of length L and width W is

A = LW.  

What if the area is 19 cm^2 and the length is 38 cm?  Solving the above equation for W, we get

W = A/L

and if we let A = 19 cm^2 and L = 38 cm, then W would be W = (19 cm^2) ? (38 cm) = (1/2) cm.  The rectangle would be very narrow, but certainly possible.

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Find the x= to the answer
pickupchik [31]

Answer:

17°

Step-by-step explanation:

I'm pretty sure because it has the arrow pointing up the angle x labeled 17 degrees...

(hope this helps!)

6 0
3 years ago
Find the x intercept of the parabola with vertex 3,-2 and y intercept 0,7 round to the nearest hundredth
12345 [234]
An x-intercept is namely a "solution" or "zero" or "root" often called, and when that happens, y = 0, just like with any other x-intercept.

\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
\begin{cases}
h=3\\
k=-2
\end{cases}\implies y=a(x-3)^2-2
\\\\\\
\textit{we also know that }
\begin{cases}
x=0\\
y=7
\end{cases}\implies 7=a(0-3)^2-2
\\\\\\
9=9a\implies \cfrac{9}{9}=a\implies 1=a\qquad therefore\qquad \boxed{y=(x-3)^2-2}

so what is its x-intercept anyway?

\bf \stackrel{y}{0}=(x-3)^2-2\implies 2=(x-3)^2\implies \pm\sqrt{2}=x-3
\\\\\\
\pm\sqrt{2}+3=x\qquad therefore\qquad (\pm\sqrt{2}+3~~~~,~~~~0)
5 0
3 years ago
Here is a line l. Plot 2 points, A and B, which stay in the same place when they are reflected over t. Plot 2 other points, C an
Bad White [126]

Answer:

A and B would be points located along the line itself.

C and D would be points either left or right of the line, but not on the line itself.

Step-by-step explanation:

5 0
2 years ago
An amusement park reports that the probability of a visitor riding its largest roller coaster is 30 percent, the probability of
11111nata11111 [884]

Answer:

P(largest or smallest) = 0.30 + 0.20 - 0.15

Step-by-step explanation

You combine the chances of doing the largest and smallest, without the chance of riding both.

5 0
3 years ago
Read 2 more answers
G(x) = -2x^3 – 15x^2 + 36x
shusha [124]

Consider the function G(x) = -2x^3 - 15x^2 + 36x. First, factor it:

G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).

The x-intercepts are at points \left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).

1. From the attached graph you can see that

  • function is positive for x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);
  • function is negative for x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).

2. Since

G(-x) = -2(-x)^3 - 15(-x)^2 + 36(-x)=2x^3-15x^2-36x\neq G(x)\ \text{and }\neq -G(x) the function is neither even nor odd.

3. The domain is x\in (-\infty,\infty), the range is y\in (-\infty,\infty).

8 0
3 years ago
Read 2 more answers
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