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Separate the x- and y-values with a comma.<br> X=-3+y<br> 26x - 5y = 6

labwork [276]

Answer:

The solution of the given system is (x,y) = (1,4)

Step-by-step explanation:

Here, the given system of equation is:

x = -3 + y

26 x - 5 y = 6

Now, substitute x = -3 + y in the second equation , we get

26 x - 5 y = 6 ⇒ 26 (-3 + y) - 5 y = 6

or, 26(-3) + 26(y) - 5y = 6

⇒ - 78 + 26 y - 5y = 6

⇒ 21 y = 84

⇒ y = 84 / 21 = 4 or , y = 4

So x = -3 + y = -3 + 4 = 1

Hence, the solution of the given system is (x,y) = (1,4)

5 0

3 years ago

Square ABCD and isosceles triangle BUC are drawn to create trapezoid AUCD. Square A B C D and triangle B U C are attached at sid

Art [367]

Answer:

d) 135º

Step-by-step explanation:

Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.

After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.

B U C is isoceles, so we conclude that other two angles must have the same size, and due to the sum of the angles of a triangle being 180º, then both BUC and BCU are equal to 45º

As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.

5 0

3 years ago

Read 2 more answers

Less common denominators for 7/10 2/5

Lera25 [3.4K]

The LCD is 10 because you can multiply 2/5 by 2 to get 4/10

7 0

3 years ago

Rectangle EFGH is graphed on a coordinate plane with vertices at E(-3,5), F(6,2), G(4,-4), and H(-5,-1). Find the slopes of each

Shalnov [3]

Slope of Side EF- 3
Slope of Side FG- 2/-6
Slope of Side GH- 3
Slope of Side HE- 2/6