What quantity should be added to both sides of this equation to complete the square x^2+12x=-15

liberstina [14]

The correct answer would be D. It represents a nonlinear function because it's points are not on a straight line.
This is correct because a linear function would be a straight line, and because when graphed the table doesn't create a line, it would be a nonlinear function.

3 0

3 years ago

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Need help with tree diagrams

oksian1 [2.3K]

There is a 50% chance.

Explanation:

There is always a 50-50 chance that the coin will land on either heads or tails.

6 0

3 years ago

Sophia took a test with 21 questions. If she answered two sevenths of the questions correctly, how many did she get wrong?

guajiro [1.7K]

Answer:

Sophia took a test with 21 questions.

If she answered two sevenths of the questions correctly, number of correct answers she did: N = 21 x 2/7 = 6

=> Number of answers she got wrong: N = 21 - 6 = 15

Hope this helps!

:)

4 0

3 years ago

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Find the value of x.

Nuetrik [128]

Answer:

$\huge\boxed{y=\sqrt{55}}$

Step-by-step explanation:

ΔADC and ΔDBC are similar (AAA)

Therefore the cooresponging sides are in proportion:

$\dfrac{AC}{CD}=\dfrac{CD}{BC}$

Substitute:

$AC=6+5=11\\BC=5\\CD=y$

$\dfrac{11}{y}=\dfrac{y}{5}$ <em>cross multiply</em>

$(11)(5)=(y)(y)\\\\55=y^2\to y=\sqrt{55}$

3 0

4 years ago

Plsss answer the following.

IRINA_888 [86]

First exercise:

a. The first prime numbers are 2,3,5,7,11,... So, the greatest prime interger between 4 and 9 is 7. A = 7.

b. Since the number line's growing direction is rightwards, going to the left means to decrease. So, point E is 4 less than point A, i.e. 7-4 = 3. E = 3.

c. The additive inverse of a number $x$ is another number $y$ such that $x+y=0$ . So, we're looking form a number such that $3+O=0$ , and thus O = - 3.

d. This point looks a bit ambiguous to me honestly. We know that IO = 2, which I presume means that the points I and O are two units apart, but we're not told if I is two units left or right with respect to O. To solve this issue, I'm assuming that IO implies that I sits before O, and so I is two units left with respect to O. As we said in point a., two units left means two less, so we have I = -3-2 = -5. At this point, point L is halfway between -5 and -3, and thus L = - 4.

e. The sum of the coordinates of A and E is 7 + 3 = 10. Half that sum is 5, so M = 5.

In the attached image, you can see the number line filled with the points asked by the exercise.

Second exercise:

All the requests can be written as an equation in which we look for the values of x. Below you find the equation and the solutions.

$107 + x = 55 \implies x = 55-107 = -52$

$-43 - x = 18 \implies x = -43-18 = -61$

$-43 - x = 18 \implies x = -43-18 = -61$

$55x = 0 \implies x = \frac{0}{55} = 0$

$\frac{x}{-1080} = -40 \implies x = (-1080)(-40) = 43200$

A little side note: I've honestly never met the expression "subtract A to B", but always "subtract A from B". I assumed they mean the same thing, but if anybody thinks I'm wrong please let me know! (I'm not a native speaker, so I can only refer to the math I met during my studies).

8 0

3 years ago