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Vitek1552 [10]
3 years ago
7

7x-y=-10 (linear combination) -7x+5y=-6

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0

(-2,-4) is the correct answer.

Hope this helps:)

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(x + 2)*(x^2 -2*x+4) - (x^3 -12)
Ivahew [28]

Answer:

  • \large{ \boxed{ \tt{20}}}

- Please see the attached picture for full solution!:)

------------ HappY LearninG <3 -----------

3 0
2 years ago
What is the measure of E
Verizon [17]

Answer:

The measure of angle E is:

m∠E = 80°

Step-by-step explanation:

Given

The triangle ΔDEF

It is stated that DE=EF and G is the midpoint of EF.

It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.

Given

m∠GDE = 10°

As the right-angle triangle, ΔDEG lies at the right-angle G.

So, m∠DGE = 90°

as

m∠GDE = 10°

m∠DGE = 90°

m∠E = ?

We know that the sum of angles of a triangle is 180°.

m∠GDE + m∠DGE  + m∠E = 180°

10° + 90° + m∠E = 180°

100 + m∠E = 180°

m∠E = 180° - 100

m∠E = 80°

Therefore,

The measure of angle E is: m∠E = 80°

3 0
2 years ago
snowboard is advertised to be 60% of the original price. If the sale price is $180, use a double number line determine the origi
Alika [10]

Step-by-step explanation:

60% of original price X = $180

60/100 × X = $180

60X/100= $180( cross multiply)

60X= 18000

X= 18000÷60

X= $300

8 0
2 years ago
Need help explaining why this happens
Charra [1.4K]
Just like 2 squared = 4, the square root of 2 multiplied by itself will result in a product of 2. Squaring a number always means multiplying that number by the same number.
8 0
3 years ago
A goat enclosure is in the shape of a right triangle. One leg of the enclosure is built against the side of the barn. The other
Sonbull [250]

Answer:

The lengths are

8 + 8[root]3 , 12 + 8[root]3 and 20 + 8[root]3.

Step-by-step explanation:

Let the side against the barn be xft

We were told that the adjacent side is 4ft more than the side against the barn. This means it has a length of (x + 4)ft.

Lastly, we are told that the hypotenuse is 8ft longer than the side along the barn I.e (x + 4 + 8)ft = ( x + 12)ft.

Since the three lengths form a triangle, the square of the hypotenuse equals the square of the adjacent side plus the square of the opposite side. This is the pythagoras' theorem.

Mathematically, this can be written as follows:

(x + 12)^2 = x^2 + (x + 4)^2

This yields x^2 + 24x + 144 = x^2 + x^2 + 8x + 16

x^2 + 24x + 144 = 2x^2 + 8x + 16

Rearranging this will yield:

x^2 - 16x - 128 = 0

Using the quadratic formula yields the following values for x :

8 - 8[root]3 and 8 + 8[root 3]

Since the first is negative, we discard it and the only correct value of x is 8 + 8[root]3

Now the other length is 12 + 8[root]3 and 20 + 8[root]3.

4 0
3 years ago
Read 2 more answers
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