3x + 6y = 42 -7x + 8y = -109

Mathematics

1 answer:

Sladkaya [172]2 years ago

7 0

Answer:

x+2y-14=0

Step-by-step explanation:

Divide both sides of equation by 3

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Look at this prism and its net. Rectangular prism with length labeled 5 meters, width labeled 7 meters, and height labeled 12 me

kaheart [24]

There will be three pairs of matching sides: one pair 5x7, one pair 5x12 and one pair 12x7. We can compute the are of each side (in pairs) and then add up the total:

$A_{surf}=2\times(l \times w)+2\times(l \times h)+2\times(h \times w)$
$A_{surf}=2\times(5\times7)+2\times(5\times12)+2\times(12\times7)$
$A_{surf}=2\times35+2\times60+2\times84$
$A_{surf}=70+120+168$
$A_{surf}=358$
$A_{surf}=358m^{2}$

5 0

3 years ago

Figure below shows two triangles EFG and KLM

Vesna [10]

Answer:

last option

Step-by-step explanation:

To prove that ΔEFG is also a right triangle, you must prove that KL = EF so that in ΔKLM c² = a² + b² which would make ΔEFG a right triangle.

3 0

2 years ago

Solve the literal equation for the indicated variable. P= 2(l+w) for w

Lorico [155]

Answer:

P=2(l+w)

divide the both sides by 2

P/2 = l +w

make w the subject of the formula

P/2 - l =w

w = P/2 - l

8 0

2 years ago

Solve for x . Leave your answer in the simplest form

Alisiya [41]

Hello!

Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.

I can see here that this can be divided into a triangle and a rectangle using a horizontal line.

The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.

This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.

$a^2+b^2=c^2$