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2 years ago

Li believes that the graph shows a direct variation.

Mathematics

1 answer:

satela [25.4K]2 years ago

6 0

Answer:

<em>b. or 2. When the x-value is 0, the y-value is 1.</em>

Step-by-step explanation:

<em>welcome bestie <3.</em>

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If jill and katie share 42 chocolates in the ratio of 3:4 then how may chocolates does jill get?

nasty-shy [4]

Answer:

jil got 18 chocolates

Step-by-step explanation:

let the ratio constants be x,

so, jil has 3x chocolates

katie has 4x chocolates

and we know total chocolates = 42

then,

=》3x + 4x = 42

=》7x = 42

=》x = 42 ÷ 7

=》x = 6

so, jil got 3x = (3 × 6) = 18 chocolates

katie got 4x = (4 × 6) = 24 chocolates

5 0

2 years ago

A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo

Arada [10]

Answer:

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

$y - k = C \cdot (x-h)^{2}$

Where:

$h$ - Horizontal component of the vertix, measured in inches.

$k$ - Vertical component of the vertix, measured in inches.

$C$ - Parabola constant, dimensionless. (Where vertix is an absolute maximum when $C < 0$ or an absolute minimum when $C > 0$ )

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

$V (x,y) = (0, 32)$ (Vertix)

$A (x, y) = (-28, 0)$ (x-Intercept)

$B (x,y) = (28. 0)$ (x-Intercept)

The following equation are constructed from the definition of a parabola:

$0-32 = C \cdot (28 - 0)^{2}$

$-32 = 784\cdot C$

$C = -\frac{2}{49}$

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

$y -32 = -\frac{2}{49} \cdot x^{2}$