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3 years ago

According to the graph, what is the value of the constant in the equation

Mathematics

1 answer:

il63 [147K]3 years ago

4 0

Answer:

C. 100

Step-by-step explanation:

You can rearrange the equation to say ...

(Height)(Width) = Constant

Multiply any of the coordinate values shown, and you will see the constant is 100.

4×25 = 5×20 = 10×10 = 20×5 = 100

The constant is 100.

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3 years ago

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3 years ago

Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value.

Blizzard [7]

First,

We are dealing with parabola since the equation has a form of,

$y=ax^2+bx+c$

Here the vertex of an up - down facing parabola has a form of,

$x_v=-\dfrac{b}{2a}$

The parameters we have are,

$a=-5,b=-10, c=6$

Plug them in vertex formula,

$x_v=-\dfrac{-10}{2(-5)}=-1$

Plug in the $x_v$ into the equation,

$y_v=-5(-1)^2-10(-1)+6=11$

We now got a point parabola vertex with coordinates,

$(x_v, y_v)\Longrightarrow(-1,11)$

From here we emerge two rules:

If $a$ then vertex is max value
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So our vertex is minimum value since,

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Hope this helps.

r3t40

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3 years ago

What is the value of tanØ

mr_godi [17]

Answer:

tan ∅ = 24 / 7

Step-by-step explanation:

cos ∅ = 7 / 25

sin^2 ∅ + cos^2 ∅ = 1

sin^2 ∅ + (7 / 25)^2 = 1

sin^2 ∅ = 1 - 49 / 625

sin^2 ∅ = 625 - 49 / 625

sin^2 ∅ = 576 / 625

sin ∅ = root 576 / 625

sin ∅ = 24 / 25

tan ∅ = sin ∅ / cos ∅

tan ∅ = 24/25 / 7/25

Therefore, tan ∅ = 24 / 7

OPTION 4. 24 / 7

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3 years ago

Jeremy wants to give a 20% gratuity to his cab driver. His fare was $35.50. What is the total amount he will pay the driver?

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2 years ago

Read 2 more answers