<h3>
Solution (1):</h3>
<u>Given:</u>
<u>Multiplying y = 3x - 5 by 2:</u>
y = -6x - 5
y = -6x - 5
<u>Adding both equations:</u>
<u>Dividing 3 both sides:</u>
<u>Substitute the value of y into any equation.</u>
- y = -6x - 5
- => -5 = -6x - 5
- => 0 = -6x
<u>Divide -6 both sides.</u>
<h3>
Solution (2):</h3>
<u>Given:</u>
<u>Add both the equations.</u>
y = -8x + 7
<u>Divide 2 both sides.</u>
- 2y = -2
- => 2y/2 = -2/2
- => y = -1
<u>Substitute the value of y into any equation.</u>
<u>Add 9 both sides.</u>
- => -1 + 9 = 8x - 9 + 9
- => 8 = 8x
<u>Divide 8 both sides.</u>
<h3>
Solution (3):</h3>
<u>Given:</u>
<u>Reorganize the first equation.</u>
- -x + 6y = 21
- => 6y = x + 21
<u>Multiply the first equation by 5.</u>
y = -5x + 12
y = -5x + 12
<u>Add both the equations.</u>
<u>Divide 31 both sides.</u>
- 31y = 117
- => 31y/31 = 117/31
- => y = 117/31
<u>Substitute the value of y into any equation.</u>
- -x + 6y = 21
- => -x + 6(117/31) = 21
- => -x + 702/31 = 651/31
<u>Subtract 702/31 both sides.</u>
- => -x = 651/31 - 702/31
- => -x = -51/31
- => x = 51/31
Factors are the numbers you multiply together to get another number. when you find the factors of two or more numbers, and then find some of the numbers (factors) are the same (common) you have common factors.
example: 12 and 36
12: 1x12, 2x6, 3x4
36: 1x36, 2x18, 3x12, 4x9, 6x6
the common factors in these numbers are 1, 2, 3, 4, 6 and 12
hope this helped you out!
First, let’s find the area of the larger square. We know that the smaller square extend out 2ft and is2ft up. Well take these measures, and subtract the 2ft from the 12 ft at the top, and get 10ft, then add the 2ft to the left side, and find that it’s 6ft. We have these measures: 6ft 6ft 10ft 10ft for the larger rectangle. Let’s find the area. The are formula for a rectangle is Base(10ft) times height(6ft) . Thus 60ftsqrd. Next, let’s do the smaller rectangle. We do the same formula, 4 times 2, and get 8ftsqrd, add them together: 60ft + 8ft = 68ft!
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
y = (x + 7)² - 9 ← is in vertex form
with h = - 7 and k = - 9
vertex = (- 7, - 9 )
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
⇢∠V + ∠T = ∠x
⇢53° + 103° = 156°
⇢∠VUX = 156°
Hence , option b is the correct answer.