Answer:
x =< 5
Step-by-step explanation:
We have to solve 2x + 3 <= 13
2x + 3 <= 13
=> 2x =< 13 - 3
=> 2x =< 10
=> x =< 5
Answer:
The length of each leg = 5 units
The length of the base = 4 units
Step-by-step explanation:
Isosceles Triangle is a triangle with any two sides of it in equal measure.
Perimeter of a triangle = SUM OF ALL SIDES
Now, Perimeter of the triangle = 14
Let length of each leg = a
So, the length of the other leg is also a.
And, the base of the triangle is a -1
Now, as perimeter is 14.
⇒a + a + (a -1) = 14
or, 3 a = 14 + 1
⇒ 3 a = 15, or a = 15/3 = 5
Hence, the length of each leg = 5
And the length of the base = (a -1) = (5-1) = 4 units
Evaluate question answers
1. 6x7 -3
V
42 - 3
V
39
Answer
39
2. 2x6+3x7 - (-3)
V
12 + 21 - (-3)
V
12 + 21 + 3
V
36
Answer
36
3. 5 x (-3) +7 - 6
V
-5 x3+7 - 6
V
-15 + 7- 6
V
-14
Find the sum or difference answers
1. Simplify or expand
(16m 4 - 8m + 3) + (-7m4 - m2 - 8)
16m4 - 8m + 3 - 7m4 - m2 - 8
V
9m4 - 8m - 5 - m2
V
9m 4 - m2 - 8m - 5
Answer
9m 4 - m2 - 8m - 5
2. Simplify or expand
(3x2 - 5x + 9) + (2x2 + 9x -4)+ (7x- 11)
v
3x2 - 5x + 9+ 2x2+9x - 4+7x-11
V
5x2 + 11x - 6
Answer
5x2 + 11x - 6
3. Simplify or expand
(3y2 - y - 6) - (42 + 5y+ 3)
V
3y2 - y - 6 - 4y2 - 5y - 3
V
-y2 - 6y - 9
Answer
-y2 - 6y - 9
4. -7 -2+2x2+ 9x
2 Simplify or expand
-7 - 2+2x2+9x
V
-9 + 2x2 + 9x
V
2x2 + 9x - 9
Answer
2x2 + 9x - 9
Given the slope, m = -2/3, and the x-intercept, (3,0):
Use these values and plug into the slope-intercept form to solve for the y-intercept, b:
y = mx + b
0 = -2/3(3) + b
0 = -2 + b
Add 2 to both sides to isolate b:
0 + 2 = -2 + 2 + b
2 = b
Now that we have our slope, m = -2/3, and the y-intercept, 2
The linear equation in slope-intercept form is:
y = -2/3x + 2
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