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3 years ago

Identify the property that justifies the following statement:

Mathematics

2 answers:

andrew11 [14]3 years ago

8 0

Symmetric Property of Congruence.

Symmetry means basically like opposites so 1 = 2 will also be 2 = 1. If it’s not that one then it’s Symmetric Property of Similarity.

Doss [256]3 years ago

3 0

Answer:

Step-by-step explanation:

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(15 - 6) - 3 = 15 - (6 - 3). is julie's wrote equation sense or nonsense? do you think the associative property works for subtra

never [62]

nonsense because, 6 ≠ 12

Step-by-step explanation:

(15 - 6) - 3 = 15 - (6 - 3)

you gotta to the parentheses first.

9 - 3 = 15 - 3

6 = 12

6 ≠ 12

5 0

3 years ago

What’s the vertex form of F(x)=x^2+2x-3

kupik [55]

Answer:

$\large\boxed{f(x)=(x+1)^2-4}$

Step-by-step explanation:

$\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================$

$\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================$

$\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4$

4 0

3 years ago

Look at picture for question. will mark brainilest PLEASE

Juli2301 [7.4K]

Answer:

b. 3 lbs

...............

3 0

3 years ago

A software company is releasing one of their products on a CD. The manufacturer charges a $5,500 setup fee and $1.00 per CD. App

olga_2 [115]

Setup Fee= $5,500Per CD Charge= $1.00Desired Cost Per CD= $3.50
x= number of CDs

Desired Cost Per CD= Cost per CD + Setup Fee
($3.50 * x)= ($1.00 * x) + $5,500multiply inside parentheses
$3.50x= $1.00x + $5,500subtract $1.00x from both sides
$2.50x= $5,500divide both sides by $2.50
x= 2,200 CDs

ANSWER: x= 2,200 CDs
Hope this helps! :)

4 0

3 years ago

Read 2 more answers

I'm having a hard time with this question so someone help please

bulgar [2K]

Answer:

7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

<h3>Law of Sines</h3>

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

<h3>Setup</h3>

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

<h3>Solution</h3>

This can be solved in two steps. First, we find angle P, then we use that to find length j.

sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

<em>Additional comment</em>

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

3 0

2 years ago