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jok3333 [9.3K]
3 years ago
15

The vertices of triangle LMN are L(3,0), M(7,0) and N(3,8). What is the area of Triangle LMN?

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

(x, y) → (x – 8, y + 11)

Step-by-step explanation:

We are given the vertices of the triangle with their respective coordinates. For the vertex L, the translated coordinates is also given. So, from the original coordinates of L and the new coordinates, we can get the rule used during translation:(7, -3) -> (7 + a, -3 + b) = (-1, 8)7 + a = -1a = -8

-3 + b = 8b = 11

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Explain the differences between properties of equality
Arisa [49]

Step-by-step explanation:

step 1. properties of equality have an "=" in the equation.

step 2. properties of inequality have a <, <=, >=, or a >.

8 0
3 years ago
Arah went to the grocery store and bought 4 loaves of bread and 1 gallon of milk for $12. The next week, Sarah bought 2 loaves o
sergejj [24]

Answer:

Here, b represents one loaf of bread and m represents the one gallon of milk.

As per the statement:

Arah went to the grocery store and bought 4 loaves of bread and 1 gallon of milk for $12.

⇒4b+m = 12  

It is also given that the next week, Sarah bought 2 loaves of bread and 3 gallons of milk for $13.50.

⇒2b+3m = 13.50

Then; system of equation :

4b+m = 12                   .....[1]

2b+3m = 13.50           .....[2]

Solve for b and m using above system of equations.

Multiply equation [2] by 2 we get;

4b+6m = 27              .....[3]

Subtract equation [1] from [3] we get;

4b+6m - 4b -m= 27-12

Combine like terms;

5m= 15

Divide both sides by 5 we get;

m = $3

Substitute the value of m in equation [1] we get;

4b+3 = 12

Subtract 3 from both sides we get;

4b=9

Divide both sides by 4 we get;

b = $2.25

Therefore, cost of one loaf of bread (b) and one gallon of milk (m) are:

$2.25 ad $3



3 0
3 years ago
What’s 3х + 7&gt;4х +2
Kipish [7]

Answer:

x < 5

Step-by-step explanation:

3x + 7 > 4x + 2 \\ 7 - 2 > 4x - 3x \\ 5 > x

x < 5

6 0
3 years ago
Q1: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.
marin [14]

Answer:

C. hyperbola; 9x^2-25y^2-250y-850=0

Step-by-step explanation:

The given conic has equation:

9x^2-25y^2=225

Divide through by 225.

\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}

\frac{x^2}{25}-\frac{y^2}{9}=1

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1

Multiply through by 225.

9(x-0)^2-25(y-5)^2=225

Expand

9x^2-25(y^2-10y+25)=225

9x^2-25y^2+250y-625=225

Rewrite in general form;

9x^2-25y^2+250y-625-225=0

9x^2-25y^2+250y-850=0

3 0
4 years ago
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