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3 years ago

Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.

Mathematics

2 answers:

Fed [463]3 years ago

6 0

Answer:

No, the tv is 32 inches wide.

Step-by-step explanation:

$a^{2} +b^{2} = c^{2} \\24^{2} +b^{2} =40^{2} \\40^{2} -24^{2} =b^{2} \\1600-576=b^{2} \\1024=b^{2} \\\sqrt{1024} =b\\b=32$

Tasya [4]3 years ago

5 0

Answer:

Step-by-step explanation:

Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.

Solving for a we get a = $\sqrt{c^2-b^2}$ . Then plugging in the values for c and b, we get a = $\sqrt{1024}$ = 32

Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.

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If x=3 what is the value of y in this equation?

inn [45]

Answer:

$\displaystyle \large{y=36}$

Step-by-step explanation:

We are given the equation $\displaystyle \large{y=12x}$ . To find y-value when or at x = 3, simply substitute x = 3 in which gives us $\displaystyle \large{y=12(3)}$ then evaluate the value as we obtain the y-value or final answer to the question:

$\displaystyle \large{\boxed{y=36}}$

If you have any questions about this question or for clarification, do not hesitate to ask in comment!

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2 years ago

Read 2 more answers

Kevin weighed his loaded truck at a weigh station. It weighed 14 tons 500 lbs 9 oz. His empty truck weighed 2 tons 600 lbs 12 oz

LenaWriter [7]

None of these are correct my calculations are 11 tons 2138 Ibs 28 oz

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3 years ago

Graphing in Point-Slope Form y−y1=m(x−x1) Graph the equation y+7=−45(x−4) ?

nevsk [136]

Answer:

<h2>The graph is in the attachment.</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - a point on a line

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

We have the equation in a point-slope form:

$y+7=-\dfrac{4}{5}(x-4)$

$y-(-7)=-\dfrac{4}{5}(x-4)$

Therefore we have one point: (4, -7).

Convert to the slope-intercept form:

$y+7=-\dfrac{4}{5}(x-4)$ use the distributive property

$y+7=-\dfrac{4}{5}x+\left(-\dfrac{4}{5}\right)(-4)$

$y+7=-\dfrac{4}{5}x+\dfrac{16}{5}$

$y+7=-\dfrac{4}{5}x+3\dfrac{1}{5}$ subtract 7 from both sides

$y=-\dfrac{4}{5}x-3\dfrac{4}{5}$

Put x = -1 to the equation:

$y=-\dfrac{4}{5}(-1)-3\dfrac{4}{5}=\dfrac{4}{5}-3\dfrac{4}{5}=-3$

Therefore we have the second point (-1, -3).

3 0

3 years ago

What is the domain: What is the range:

Jet001 [13]

Answer:

Domain: [-4,4]

Range: [-4,6]

Step-by-step explanation:

To domain pertains to the x-coordinates, while the range pertains to the y-coordinates.

Looking at the graph, we can see that the farthest point to the left is (-4,3) and the farthest point to the right is (4,6). Now, we know that the domain is [-4,4].

Looking at the graph, we can see the highest point is (4,6) and the lowest point is (0,-4). Now, we know the range is [-4,6].

Now, we know that the domain is [-4,4] and the range is [-4,6].

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3 years ago

Evaluate the expression for n = 9. 6(n + 1) = ??

tatiyna

6(n+1)= ?? When n = 9

6(9+1)=?

6x10=60

5 0

3 years ago