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2 years ago

Which point shows an equivalent ratio in this situation?

Mathematics

1 answer:

yawa3891 [41]2 years ago

5 0

Point J, I'm pretty certain you have it right.

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Help me please, I will mark brainliest. T^T

anyanavicka [17]

Answer:

a Destiny

b depending on liquid they would be less dense

7 0

2 years ago

Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s

Nataliya [291]

Answer:

$f(x)=\frac{1}{2}x^2-4x+5$

Step-by-step explanation:

A parabola is written in the form

$f(x)=a((x-h)^2+k)$ (1)

where:

$h$ is the x-coordinate of the vertex of the parabola

$ak$ is the y-coordinate of the vertex of the parabola

$a$ is a scale factor

For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:

$h=4$ (2)

$ak=-3$

From this last equation, we get that $a=\frac{-3}{k}$ (3)

Substituting (2) and (3) into (1) we get the new expression:

$f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3$ (4)

We also know that the parabola contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

$-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6$

So we also get:

$a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}$

So the equation of the parabola is:

$f(x)=\frac{1}{2}((x-4)^2 -6)$ (5)

Now we want to rewrite it in the standard form, i.e. in the form

$f(x)=ax^2+bx+c$

To do that, we simply rewrite (5) expliciting the various terms, we find:

$f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5$

6 0

2 years ago

Order these numbers from least to greatest.<br> 3.195, 67/20, 3.19, 3 1/3

galina1969 [7]

The numbers from least to greatest are 3.19, 3.195, 3 1/3, and 67/20. This is because 67/20 is equivalent to 3.35 in decimal form, which is greater than all of the other numbers, including 3 1/3, which is 3.3333.

4 0

3 years ago

PLSSS HELP!!! What is the measure of angle x???

bixtya [17]

DBH make a triangle.

The three inside angles of a triangle need to equal 180

H = 180 - B - D

H = 180 - 39 - 36 = 105

H and X make a straight line that equals 180 degrees

X = 180 - H

X = 180 - 105 = 75 degrees.

5 0

2 years ago

Which is not a correct way to rewrite this expression using the distributive

Effectus [21]

Given:

The expression is

$(2x^2+4x-7)(x-2)$

To find:

The expression which is not a correct way to rewrite the given expression.

Solution:

We have,

$(2x^2+4x-7)(x-2)$

Using distributive property, we get

$=(2x^2)(x-2)+(4x)(x-2)+(-7)(x-2)$

$=(2x^2)(x)+(2x^2)(-2)+(4x)(x)+(4x)(-2)+(-7)(x)+(-7)(-2)$

Using distributive property the given expression can rewritten as:

$=(2x^2+4x-7)(x)+(2x^2+4x-7)(-2)$

Only the expression in option A is not a correct way to rewrite the given expression because $(2x^2+4x-7)$ is not distributed to $(x-2)$ properly.

Therefore, the correct option is A.

3 0

2 years ago