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4 years ago

A curve with equation

Mathematics

1 answer:

Goryan [66]4 years ago

6 0

$y = a(x)^(2) + bx + c$

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Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?

Kobotan [32]

9514 1404 393

Answer:

156 cm³

Step-by-step explanation:

The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.

The front face area is the sum of the triangle area and the rectangle area.

A = 1/2bh + LW

A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²

Then the volume is ...

V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks

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3 years ago

John earns x dollas per hour. petra earn 2 dollars per hour more than him. How much do they earn altogether per hour?

satela [25.4K]

2x + 2 dollars, because you're adding x and x + 2

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3 years ago

What is negative 1 minus negative 1

lana [24]

-1 - -1.
-1 + 1.
0.

The answer is 0.

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3 years ago

Read 2 more answers

Which graph represents the function f(x)=(x - 5y + 3?

tensa zangetsu [6.8K]

.......hope this helps

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3 years ago

The function y = x * ln(x + e) has two distinct x intercepts. One is at x = a and the other is at x = b. The value of a + b is

Snezhnost [94]

As points, x-intercepts take the form $(x,0)$ , so to find the intercepts we can set $y=0$ and solve for $x$ .

$x\ln(x+e)=0\implies\begin{cases}x=0\\\ln(x+e)=0\end{cases}$

From the first equation alone, we already know that $x=0$ is a solution, which means one intercept is $(0,0)$ .

The second equation gives

$\ln(x+e)=0\implies e^{\ln(x+e)}=e^0\implies x+e=1\implies x=1-e$

so that the second intercept occurs at $(1-e,0)$ .

So if $a=0$ and $b=1-e$ , we have $a+b=1-e$ , giving C as the answer.

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3 years ago