(2,8) & (4,60) which one is proportional

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

4 0

They are both proportional. 1:4 and 1:15

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The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product a

Oksana_A [137]

Answer:

x³ + 5x² + 5x - 2

Step-by-step explanation:

Combine like terms.

x³ + 3x² − x + 2x² + 6x − 2 =

= x³ + 5x² + 5x - 2

4 0

1 year ago

If BD = 4, AD = x-6, and CD = x, what is the length of CD?

emmainna [20.7K]

Answer:

The length of CD is 8 units

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we know that

According to the Right Triangle Altitude Theorem,

$(BD)^2 = (AD)(CD)$

substitute the given values

$(4)^2 = (x-6)(x)$

$16=x^2-6x\\x^2-6x-16=0$

solve the quadratic equation by graphing

The solution is x=8 or x=-6

see the attached figure N 2

Discard the negative length.

therefore

The length of CD is 8 units

8 0

2 years ago

Please explain and write the answer!

jenyasd209 [6]

Answer:

You can actually draw both points in a graph to find out as it makes it easier to understand. Or you could think, if C has moved from (0,0) to (-2,3). It means it moves to the left of the x axis by 2, then moves up by 3 on the y axis.

So point P should move the same way. (-3, 4) move by -2 on the x axis would make it -5, and for y you go up 3 steps so 4+3=7 making P's final location (-5,7)

8 0

2 years ago

Find the slope of the line that passes through (-3,-1) and (-5,4)

tester [92]

Line is Passing through the Points (-3 , -1) and (-5 , 4)

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

$\heartsuit\;Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}$