Answer:
x = 4 or x = -1
Step-by-step explanation:
2x^2 - 8x + 6 =0
divide by 2 we get : x^2 -4x +3 = 0
(x -4) (x+1)
x = 4 or x = -1
Answer:
A. D and E are similar but not congruent.
Step by step explanation :
The side lengths of D are 3 units and 1 unit. The side lengths of E are 2 units and 6 units. The sides are proportional, but are not congruent; this means that the quadrilaterals are similar but not congruent. Choice A is true and choice C is false.
The side lengths of E are 2 units and 6 units. The side lengths of F are 3 units and 1 unit. The sides are proportional, but are not congruent; this means that the quadrilaterals are similar but not congruent. Choice B is false.
The side lengths of D are 3 units and 1 unit. The side lengths of F are 3 units and 1 unit. The sides are congruent; this means that the quadrilaterals are congruent. Choice D is false.
1. Area of a circle is pi x R^2
Area = 3.14 x 18^2
Area = 3.14 x 324= 1017.36 sq. In.
The blade covers 122 out of 360 degrees.
1017.36 x 122/360 = 345 square inches.
2.
Like above.
Area =3.14 x 75^2 = 17,662.5 square feet
17662.5 x 80/360 = 3,925 square feet.
Answer:
f(g(- 2)) = 5
Step-by-step explanation:
Evaluate g(- 2) then use this result to evaluate f(x)
g(- 2) = (- 2)² - 5 = 4 - 5 = - 1, then
f(- 1) = - (- 1) + 4 = 1 + 4 = 5
<h2>The solution is (x, y) = (-3, -1)</h2>
<em><u>Solution:</u></em>
<em><u>Given, system of equations are:</u></em>
-3 - x = 0 --------- eqn 1
-3y = -3 - 2x -------- eqn 2
From eqn 1,
- 3 - x = 0
<h3>x = -3</h3>
<em><u>Substitute x = -3 in eqn 2</u></em>
-3y = - 3 - 2(-3)
-3y = -3 + 6
-3y = 3
<h3>y = -1</h3>
Thus the solution is (x, y) = (-3, -1)
