Answer:
x = 7
Step-by-step explanation:
Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':
Cross-multiply: 3(x + 1) = 6(x - 3)
Distribute: 3x + 3 = 6x - 18
Combine like terms: 21 = 3x
Solve for 'x': x = 7
Answer:
2√3
Step-by-step explanation:
√3x4 = √12 = 2√3
Step-by-step explanation:
a) 3x>x+5
b)2x>5
x>5/2
ii) I'm unable to draw a number line but draw a small circle right in-between+2 and +3 and let the direction be rightward
Answer:
y=9
Step-by-step explanation:
y=mx+c
gradient of a horizontal line is 0
y=0x+9
y=9
If the line segment is perpendicular to a line with the slope of -4, that means the line segment has a slope of 1/4.
First let's make an equation for the line segment using the slope of 1/4 and the point at (2,6) to find the final piece, the y-intercept
y = mx + b
6 = 1/4(2) + b
6 = 2/4 + b
24/4 = 2/4 + b
22/4 = b
y = 1/4 x + 22/4
6 = 1/4(2) + 22/4
6 = 2/4 + 22/4
6 = 24/4
6 = 6 <-- proves that this equation is correct
Now you may plug in the x to find y. ( 8 , y )
y = 1/4(8) + 22/4
y = 8/4 + 22/4
y = 30/4 = 15/2 = 7.5
