Answer with explanation:
Two Quadratic expressions are said to be equivalent,if they have same zeroes.But here it has been asked about ,expression which are of the same form,means Instead of being congruent they should be similar.
Expression Equivalent Expression
1. x²+ 3 x + 15 ---------------------- x² + 6 x + 34
2. x² + 8 --------------------- x² + 16
3. x² - 5 x + 5 -------------- x² -12 x + 37
Answer:
Step-by-step explanation:
(1x/4 + 1/7) + (3x/8 - 1/3) = x/4 + 3x/8 + 1/7 - 1/3
= x*2/4*2 + 3x/8 + 1*3/7*3 - 1*7/3*7
= 2x/8 + 3x/8 + 3/21 - 7/21
= (2x+3x)/8 + (3-7) /21
= 5x/8 + (-4)/21
= 5x/8 - 4/21
Area of the figure = 30.28 m²
Solution:
The given image is splitted into two shapes.
One is rectangle and the other is semi-circle.
Length of the rectangle = 6 m
Width of the rectangle = 4 m
Area of the rectangle = length × width
= 6 m × 4 m
= 24 m²
Area of the rectangle = 24 m²
Diameter of the semi-circle = 4 m
Radius of the semi-circle = 4 m ÷ 2 = 2 m
Area of the semi-circle = 
Area of the semi-circle = 6.28 m²
Area of the figure = Area of the rectangle + Area of the semi-circle
= 24 m² + 6.28 m²
= 30.28 m²
Area of the figure = 30.28 m²
Answer:
getting the queen is smaller
5/8
Step-by-step explanation:
There are 4 queens in a 52 card deck
P(queen) = 4/52 = 1/13
There are 12 pairs socks, 3 of which are grey
P(grey socks) = 3/12 = 1/4
1/13 <1/4
So getting a queen is smaller
The possible outcomes
8 +0 9+0 10+0 <em> 11+0</em>
8+1 9+1 <em> 10+1 11+1</em>
8+2<em> 9+2 10+2 11+2</em>
<em>8+3 9+3 10+3 11+3</em>
There are 16 outcomes and 10 of them are after 11, (assuming we add the time to the bedtime)
P (bedtime later than 10) = 10/16 = 5/8
Answer:
the last option of 135°.
Step-by-step explanation:
The total degree of the rectangle is 360°. But it was sliced, so with the remaining measurements, subtract each of them from 360°.
90°+90°+45°+x°=360°
225°+x°=360° add all of the values on the left side, then subtract 225 on both sides to solve for the value of x°.
x°=135°
