Answer:
see below
Step-by-step explanation:
The graph opens upward if the sign of the squared term is positive. If that sign is negative, the graph opens downward. The first three equations open upward; the last opens downward.
The line of symmetry is the value of x that makes the squared term zero. Here, that is x=5 for all equations.
<u>y=2/3(x-5)^2</u>: A, D
<u>y=1/2(x-5)^2</u>: A, D
<u>y=3/4(x-5)^2</u>: A, D
<u>y=-4(x-5)^2</u>: B, D
The least common denominator is 15. The equivalent fractions would be 10/15 and 12/15.
It’s D
11x= 6x + 5x
10^2 + 6x + 5x + 3
2x(5x+3)+5x+3
Answer:
a = 3, b = -1, c = 10
Step-by-step explanation:
Let the three numbers be a, b and c.
Equation 1: a + b + c = 12
Equation 2: a + 2b + 3c = 31
Equation 3: 9b + c = 1
Equation 2 - Equation 1:
Equation 4: b + 2c = 19
Equation 3 times by the number 2
Equation 5: 18b + 2c = 2
Equation 5 - Equation 4
17b = -17
b = -1
Substitute into Equation 4:
2c - 1 = 19
2c = 20
c = 10
Substitute into Equation 1:
a + b + c = 12
a - 1 + 10 = 12
a = 3
Answer:
Image below
Step-by-step explanation:
<em>Given: Side lengths of a right triangle 3,4 and 5 units.
</em>
<em>
To draw: A right triangle with the given side length.
</em>
<em>
Solution:
</em>
<em>
We know, in a right angle triangle hypotenuse is the longest side and satisfying Pythagoras theorem.
</em>
<em>
From the given side length,
</em>
<em>
Hypotenuse = 5 unit
</em>
<em>
We can take any of the base and perpendicular.
</em>
<em>
Let, Base = 3 unit
</em>
<em>
Perpendicular = 4 unit.
</em>
<em>
It a right-angle triangle with a hypotenuse 5 unit.
</em>
<em>
Now we draw a right angle triangle taking in the first 3 base and 4 perpendicular and second 3 perpendicular and 4 bases.</em>
