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4 years ago

Solve for m and n using the special right triangles

Mathematics

1 answer:

Irina18 [472]4 years ago

8 0

Since this is a 45-45-90 triangle, n = 6 and m = 6√3.

I hope this helps!

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Solve each system by elimination.

meriva

Answer:

4.)

a. x= -6 y-3

b. x= 5 y + 13

4 4

3.)

a. x= -4y + -8

5 5

b. x= 3 y+3

Step-by-step explanation:

4.)

a. 5x+6y=-15

Add -6y to both sides.

5x+6y+−6y=−15+−6y

5x=−6y−15

Divide both sides by 5.

5x ÷ 5= -6y-15 ÷5

x= -6 y-3

b. 4x - 5y=13

Add 5y to both sides

4x−5y+5y=13+5y

4x=5y+13

Divide both sides by 4

4x÷4= 5y+13÷4

x= 5 y + 13

4 4

5.)

a. (5x+4y=-8)

Add -4y to both sides

5x+4y+−4y=−8+−4y

5x=−4y−8

Divide both sides by 5

5x÷5= -4y-8÷5

x= -4y + -8

5 5

b. 2x - 3y = 6

Add 3y to both sides.

2x−3y+3y=6+3y

2x=3y+6

Divide both sides by 2.

2x÷2= 3y+6÷2

x= 3y+3

8 0

3 years ago

Mother paid 22.10 for 2.6 pounds of steak. what is the price per pound?

neonofarm [45]

Answer:

$8.50

Step-by-step explanation:

Divide the price by size so 22.10/2.6!

6 0

3 years ago

Please help solve this question been stuck for a while

damaskus [11]

Answer:

7.7

Step-by-step explanation:

To find the intersection points of the line and the circle we have to set up a system with their equations and solve. The system would look like this:

$\left \{ {{x=1 } \atop {x^2+y^2=16}} \right.$

To solve, substitute 1 for x in the second equation to get:

$1^2+y^2=16$

Solving, we get:

$y=\sqrt{15}, y=-\sqrt{15}$

Therefore, the two points of intersection are $(1,\sqrt{15} )$ and $(1,-\sqrt{15})$ . The distance between these two points (the length of the chord in the circle) is $2\sqrt{15}$ which is 7.745966692414... which is 7.7 rounded to the nearest tenth.