Independent assessment 3

Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?

maxonik [38]

ANSWER

$2 \frac{1}{4}$

EXPLANATION

We want to find the constant that must be added to

${x}^{2} - 3x$

to form a perfect square.

Comparing the given expression to

$a{x}^{2} + bx + c$

we have

a=1 , b=-3 , and c=0.

We need to add

${( \frac{b}{2a} })^{2}$

We substitute the values to get,

${( \frac{ - 3}{2(1)} })^{2} = \frac{9}{4}$

We change this to mix numbers to get,

$2 \frac{1}{4}$

The last choice is correct.

4 0

3 years ago

The sail on a souvenir boat is similar in shape to the sail on a sailboat. The sail on the sailboat is in the shape of a right t

Triss [41]

Answer:

1 1/8 inches.

Step-by-step explanation:

As the sails are similar, corresponding sides are in the same ratio, so we have the equation

:24/3 = 9/b where b = base of the souvenir boat.

Cross multiply:

24b = 9*3

b = 27/24

= 1 1/8 inches.

3 0

3 years ago

What additional info do you need

Novay_Z [31]

Answer:

∠C ≅ ∠M or ∠B ≅ ∠L

Step-by-step explanation:

You are given an angle and its opposite side as being congruent. AAS requires two congruent angles and one side, so you need another set of congruent angles (one in each triangle). It does not matter which they are. The above-listed pairs are appropriate.*

_____

* Since the figure cannot be assumed to be drawn to scale, either of angles B or C could be declared congruent to either of angles L or M. However, it appears that angles B and L are opposite the longest side of the triangle, so it makes good sense to declare that pair congruent. The same congruence statement (ΔBCD≅ΔLMN) would result from declaring angles C and M congruent. So, either declaration will work (matches the last answer choice.)

__

AAS requires two angles and a side. One side is already marked, so we do not need any more information about sides. (The second and third answer choices can be rejected as irrelevant.)

7 0

3 years ago

In your own words, explain the concept of a variable. Discuss how you can teach a class about the use of variables and how they

vesna_86 [32]

VARIABLE is a symbol which is used for representation in a math.

According to the statement

we have to explain about the what is a variable.

So, VARIABLE is a symbol which is used for representation in a math.

It represent the so many things like Algebra, Matrix,Vector etc. and also so many things.

A variable may also be called a data item.

It is used to represent a data like country name, name, age, date of birth etc.

we know that the every thing is changeable. So, like ther things variables are also changeable.

The changing of variable parameters is called as variation. In problems relating to two or more variables, it is seen that the value of a variable changes with the change in the value.

So, VARIABLE is a symbol which is used for representation in a math.

Learn more about VARIABLE here brainly.com/question/1295072

#SPJ4

8 0

1 year ago

Can anyone help me on my HW i can't seem to find the answer to it and when i do it doesn't make sence

Nadusha1986 [10]

0.75x-18.5=0.65x
0.75x-0.65x=18.5
0.1x=18.5
x=18.5/0.1=185

Answer: x=185

To checkt:
0.75(185)-18.5=138.75-18.5=120.25
0.65(185)=120.25

4 0

3 years ago