Answer:
Step-by-step explanation:
(e) (x-8)(x-9)
Multiplying two binomials.
x(x-9)-8(x-9)
x² -9x - 8x + 72
x² - 17x + 72
(f) 6x⁴ - 12x
Common factoring.
6x(x³ - 2)
(g) x² + 8x + 12
Factoring trinomial of the form ax² + bx + c.
x² +2x + 6x + 12
x(x + 2) + 6(x + 2)
(x + 2) (x + 6)
(h) (x + 7)(x + 5)
Multiplying two binomials.
x(x + 5)+7(x + 5)
x² + 5x + 7x + 35
x² + 12x + 35
(i) x² - 36
Difference of two squares.
a² - b² = (a + b)(a - b)
x² - 6²
a = x, b = 6
(x + 6)(x - 6)
Answer:
D) SAS
Step-by-step explanation:
Given:
Segment XY = segment VW
Segment XY ║ segment VW
∠ VXY = ∠ WVX (Alternate Interior angle Theorem)
Segment VX ≅ segment VX (relative property of Congruence)
Solution:
In △VWX and △XYV
Segment VX ≅ segment VX
∠ WVX = ∠ VXY
Segment XY = segment VW
∴ By Side Angle Side Congruence Property
△VWX ≅ △XYV by SAS
Answer:
Slope of the line y = x + 10 is 1. So, any straight line perpendicular to this must be having slope of (-1).
Let, the line be y = - x + b and it passes through (15, -5).
So, 15 = 5 + b
b = 10.
So, equation of that line: y = -x + 10
Or, x + y = 10.
Y-intercept of the line = 10 units.
Problem
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.
By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent.
Solution
the volume of a cylinder is given by:
We know that the diameter=radius and the height are increased by 15% so then the new volume can be calculated on this way:
And the new volume would increase about 52%
Answer:
$199.50
Step-by-step explanation:
10% discount of $34 = 10/100*34 = $3.40
so, a single shirt costs $34-$3.40 = $30.60
half off = 50% discount of $31 = 50/100*31 = $15.50
so, a single cap costs $31-$15.50 = $15.50
so, 5 shirts and 3 caps cost now
5*$30.60 + 3*$15.50 = $153 + $46.50 = $199.50
but careful - can this be a trick question ?
the phrasing of the problem description can also suggest that the discounts are only listed to confuse us and are already included in the mentioned prices ("worth" $34 - what does that mean ? because including the discounts they are currently "worth" their prices).
then it would just plainly be
5*$34 + 3*$31 = $170 + $93 = $263
