What's the answer for <br>3.4a=57.8

Vertex B of trapezoid ABCD has coordinates (7, −2). If trapezoid ABCD is translated 3 units left, what are the coordinates of ve

spin [16.1K]

The correct answer to this question is (4,-2).

<span>Vertex B of trapezoid ABCD has coordinates (7, −2). It is said that the trapezoid is translated 3 units left. That means that the trapezoid is moved 3 points to the left (at x axis). So 7-3 = 4. This means that the new coordinate of vertex B is (4,-2)</span>

3 0

3 years ago

Which expressions are equivalent to_____? Check all that apply.

Alinara [238K]

Option 1. $(-2)(5x) + (-2)(-\frac{3}{4})$ and option 4. $-10x + \frac{3}{2}$ are equivalent to $-2(5x-\frac{3}{4} ).$

Step-by-step explanation:

Step 1:

The given expression is expanded as follows.

The -2 is multiplied with the 5x and then the -2 is multiplied with the $-\frac{3}{4}$ .

So the expression becomes as follows;

$-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}).$

This is the first option given so the first expression is equivalent.

Step 2:

$-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}) = -10x + \frac{6}{4} = -10x + \frac{3}{2} .$

Of the other four options, only the fourth expression has the fraction $\frac{3}{2}$ so the fourth expression is also equivalent.

Expressions 1 and 4 are equivalent to the given expression.

5 0

3 years ago

Consider the following information: Tony, Mike, and John belong to the Alpine Club. Every member of the Alpine club who is not a

zzz [600]

Answer:

ranslation into first order logic ,

Tony, Mike and John belong to Alpine club.

S1 Member (Tony)

S2 Member (mike)

S3 Member (john)

Every member of the Alpine club who is not a skier is a mountain climber

S4 \forallx(Member(x)\wedge~Skier(x)\supsetClimber(x))

Mountain climbers do not like rain

S5 \forallx(Climber(x) \supset ~Like(x,Rain))

Anyone who does not like snow is not a skier

S6 \forallx(~Like(x,snow) \supset ~ Skier(x))

Mike dislikes whatever Tony likes

S7 \forallx(Like(Tony,x) \supset ~ Like(mike,x))

And likes whatever Tony dislikes

S8 \forallx(~Like(Tony,x) \supset Like(Mike,x)

Tony likes rain and snow

S9 Like(Tony,rain)

S10 Like(Tony, snow)

From s10 we know that (I(tony),I(snow)) \in I(Like)

From s7 we know that for every assignment v

(D,I),v|= Like(tony,x)\supset ~Like(Mike,x)

(D,I),v|= Member(x) \wedge Climber(x) \wedge ~ Skier(x)

So

(D,I),v |= \existsx(Member(x)\wedgeClimber(x)\wedge~Skier(x))

Hence a member of Alpine club who is a mountain climber but not a skier

suppose we donot have S7 , we have only s1-s6 and s8-s10.

To prove , we have to produce interpretations as :

D ={ t,m,j,s,r }

Interpretations:

I(tony)=t, I(mike)=m, I(john)=j, I(snow)=s, I(rain)=r

I(member)= {t,m,j}

I(skier)= {t,m,j}

I(climber)= {}

I(Like)= {(t,s),(t,r),(m,s),(m,r),(m,m),(m,t),(m,j),(j,s)}

Hence a member of Alpine club who is a mountain climber but not a skier

4 0

4 years ago

A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons

Mashutka [201]

One gallon per every 16 minute. 8g - 5g = 3g
48 minutes ÷ 3gallons = 16 minute per reduced gallon.

7 0

4 years ago

Write the expression in complete factored form x²- 2x + xy - 2y

boyakko [2]

Let me know if this helps you.

5 0

3 years ago

What's the answer for 3.4a=57.8