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2 years ago

If x2 + mx + m is a perfect-square trinomial, which equation must be true?

2 answers:

7 0

X² + mx + m A perfect square trinomial is where:x² - is the square of the first term binomialmx - is twice the product of the binomials first and last termm - is the square of the last term binomial
x² + mx + m = (x + 1)²
(x + 1)² ⇒ (x+1)(x+1) = x(x+1) +1(x+1) ⇒ x² + x + x +1 = x² + 2x + 1

kiruha [24]2 years ago

3 0

X^2+mx+m= (x+1)^2 is your answer

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PLEASE HELP, I’ve been stuck on this question for a whileIn the diagram, AB is divided into equal parts. The coordinates of poin

castortr0y [4]

AB is divided into 8 equal parts and point C is 1 part FROM A TO B, so the ratio is 1:7, with C being 1/7 of the way. The ratio is k, found by writing the numerator of the ratio (1) over the sum of the numerator and denominator (1+7). So our k value is 1/8. Now we need to find the rise and the run (slope) of the points A and B. $m= \frac{5-9}{9-(-3)}$ . That gives us a rise of -4 and a run of 12. The coordinates of C are found in this formula: $C(x,y)=[ x_{1} +k(run), y_{1} +k(rise)]$ . Filling in accordingly, we have $C(x,y)=[-3+ \frac{1}{8}(12),9+ \frac{1}{8}(-4)]$ which simplifies a bit to $C(x,y)=(-3+ \frac{3}{2},9- \frac{1}{2})$ . Finding common denominators and doing the math gives us that the coordinates of point C are $(- \frac{3}{2}, \frac{17}{2})$ . There you go!

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2 years ago

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What is the 5th term of the geometric sequence a1=120, a2=36, a3=10.8, a6=0.2916

Serggg [28]

The fifth term of the geometric sequence would be 0.972

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2 years ago

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Which properties are present in a table that represents an exponential function in the form y-b* when b > 1?

Oksana_A [137]

Answer:

<u>Properties that are present are </u>

Property I

Property IV

Step-by-step explanation:

The function given is $y=b^x$ where b > 1

Let's take a function, for example, $y=2^x$

Let's check the conditions:

I. As the x-values increase, the y-values increase.

Let's put some values:

y = 2 ^ 1

y = 2

and

y = 2 ^ 2

y = 4

So this is TRUE.

II. The point (1,0) exists in the table.

Let's put 1 into x and see if it gives us 0

y = 2 ^ 1

y = 2

So this is FALSE.

III. As the x-value increase, the y-value decrease.

We have already seen that as x increase, y also increase in part I.

So this is FALSE.

IV. as the x value decrease the y values decrease approaching a singular value.

THe exponential function of this form NEVER goes to 0 and is NEVER negative. So as x decreases, y also decrease and approached a value (that is 0) but never becomes 0.

This is TRUE.

Option I and Option IV are true.

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2 years ago

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A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m

Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

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2 years ago

Which of the following represents "The product of the abscissa and ordinate is ten"?

Ainat [17]

Hello,
if x represents the abscissa
and y the ordinate then
the product is x*y
Answer A

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2 years ago

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