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3 years ago

Can someone please help

Mathematics

1 answer:

QveST [7]3 years ago

8 0

B . 2 and 9... Brainleist please

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Which equation could be used to solve the question below?

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83+37=129, 120÷24=5

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Graph the following Line:<br> 6x+3y=6

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100 points the right answer please the set designer for a play painted some background scenery on a large piece of plywood. He u

podryga [215]

Answer:

14 ft

Step-by-step explanation:

Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle. Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.

Applying the Pythagorean Theorem, we get:

13^2 = (h - 2)^2 + 5^2, or

169 = h^2 - 4h + 4 + 25, or

144 = h^2 - 4h + 4, or

140 = h^2 - 4h, or, finally,

h^2 - 4h - 140 = 0. We must find the value of h.

I graphed this function on a calculator and found that -10 is a zero. Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.

The total height of the piece of plywood is 14 ft.

Check this: does a right triangle with legs (14 - 2) and 5 have a hypotenuse of 13? Yes.

7 0

3 years ago

Please help me!!!!!

a_sh-v [17]

Answer:

Step-by-step explanation:

Since f(x) is graphed, you need to look at the specified intervals and see which of them have the entire portion graphed below the x axis.

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3 years ago

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Find the smallest zero of f(x+5)

podryga [215]

ANSWER

1. k=13

2. x=-10

EXPLANATION

The given function is

$f(x) = {x}^{2} + 3x - 10$

To find f(x+5), plug in (x+5) wherever you see x.

This implies that:

$f(x) = {(x + 5)}^{2} + 3(x + 5) - 10$

Expand:

$f(x) = {x}^{2} + 10x + 25+ 3x + 15- 10$

Simplify to obtain

$f(x) = {x}^{2} + 13x + 30$

We now compare with,

$f(x) = {x}^{2} + kx + 30$

This implies that:

$k = 13$

To find the smallest zero of f(x+5), we equate the function to zero and solve for x.

${x}^{2} + 13x + 30 = 0$

${x}^{2} + 10x + 3x + 30 = 0$

$x(x + 10) + 3(x + 10) = 0$

$(x + 3)(x + 10) = 0$

$x = - 10 \: or \: x = - 3$

The smallest zero is -10.

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3 years ago

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