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4 years ago

25÷6825 in area model

Mathematics

1 answer:

kirill115 [55]4 years ago

4 0

0.004 when it is rounded

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Solve the following: x²=4(mod6)

Ksivusya [100]

Answer:

$x_{1} = 2, ▪︎ x_{2} = -2$

Step-by-step explanation:

${x}^{2} = 4 (mod6)$

${x}^{2} = 4$

$x =±2$

$x_{1} = 2, ▪︎ x_{2} = -2$

4 0

3 years ago

Part 2: Identify the vertex, focus, and directrix of each. Then sketch the graph.

Andre45 [30]

Answer: $\bold{1.\quad \text{Vertex}}:(-3,-6)\qquad \text{Focus}:\bigg(-3,-\dfrac{17}{4}\bigg)\qquad \text{Directrix}:y=-\dfrac{19}{4}$

2. Vertex: (-5, 4) Focus: (-6, 4) Directrix: x = -4

Step-by-step explanation:

The vertex form of a parabola is y = a(x - h)² + k or x = a(y - k)² + h

(h, k) is the vertex
p is the distance from the vertex to the focus
-p is the distance from the vertex to the directrix

$\bullet \quad a=\dfrac{1}{4p}$

1) y = (x + 3)² - 6 → a = 1 (h, k) = (-3, -6)

$a=\dfrac{1}{4p}\qquad \rightarrow \qquad 1=\dfrac{1}{4p} \qquad \rightarrow \qquad p=\dfrac{1}{4}\\\\\text{Focus = Vertex + p}\\\\.\qquad =\dfrac{-18}{4}+\dfrac{1}{4}\\\\.\qquad = -\dfrac{17}{4}\qquad \rightarrow \qquad \text{Focus}=\bigg(-3,-\dfrac{17}{4}\bigg)\\\\\\\text{Directrix: y = Vertex - p}\\\\.\qquad \quad y=\dfrac{-18}{4}-\dfrac{1}{4}\\\\.\qquad \quad y= -\dfrac{19}{4}$

****************************************************************************************

$2.\quad x=-\dfrac{1}{4}(y-4)^2-5\qquad \rightarrow \quad a=\dfrac{1}{4}\qquad (h, k)=(-5,4)$

$a=\dfrac{1}{4p}\qquad \rightarrow \qquad -\dfrac{1}{4}=\dfrac{1}{4p} \qquad \rightarrow \qquad p=-1\\\\\text{Focus = Vertex + p}\\\\.\qquad =-5+\ -1\\\\.\qquad = -6\qquad \rightarrow \qquad \text{Focus}=(-6,4)\\\\\\\text{Directrix: y = Vertex - p}\\\\.\qquad \quad y=-5+\ -1\\\\.\qquad \quad y= -4$

7 0

4 years ago

PLEASE HELP!!! i will mark brainliest

Kipish [7]

Answer:

City B I think im not 100 percent sure

6 0

3 years ago

Read 2 more answers

PLS HELP! 7x +10y= -23 7x + 6y = - 39

mote1985 [20]

4y = -23 + 39
4y = 16
y = 4

Sub y = 4 into equation 2
7x + 6(4) = -39
7x + 24 = -39
7x = -39-24
7x = -63
x = -9

x = -9
y = 4

5 0

3 years ago

Find the constant variation for this equation. R=.51/d^2

nadya68 [22]

A constant of variation is part of a direct relation - linear function. The equation given is an inverse relation.
It does not have a constant of variation.

7 0

4 years ago