Answer:
Step-by-step explanation:
The coefficients of the quadratic x^2 + 7x + 3 are a = 1, b = 7 and c = 3.
The discriminant is b^2 - 4ac, or 49 - 4(1)(3), or 49-12, or 37.
Because the discriminant is positive, we know that this quadratic equation has two real, different solutions.
-7 ± √37
x = --------------- => x = (-7 + √37)/2 and x = (-7 - √37)/2
2
In words: This quadratic equation has two real, unequal solutions involving the radicand 37.
Answer:
C. x=8.5
Step-by-step explanation:
-18+3x+x=-2(2x-25)
-18+4x=-4x+50
+4x +4x
-18+8x=50
+18 +18
8x=68
8 8
x=8.5
Answer: Angle ABC = 60, angle CBD = 120 and angle GFH = 60
Step-by-step explanation: Line ABD is parallel to line EFG. Line line CFH is a straight line that cuts across both parallel lines. Therefore, angle FBD and angle HFG are corresponding angles. That means angle FBD equals 3x. Also 3x plus 6X equals 180. That is,
3x + 6x = 180 {Sum of angles on a straight line equals 180}
9x = 180
Divide both sides of the equation by 9
x = 20.
That means angle 6x measures 6(20) and that is 120 degrees.
Also angle 3x measures 3(20) and that is 60 degrees.
Angle ABC + Angle CBD = 180 {Sum of angles on a straight line equals 180}
Angle ABC + 120 = 180
Angle ABC = 180 - 120
Angle ABC = 60
Also angle CBD equals 6x, and x = 20. Therefore angle CBD = 6 x 20
Angle CBD = 120.
And then, angle GFH = 3x, and x equals 20. Hence angle GFH = 60.
Therefore angle ABC = 60, angle CBD = 120 and angle GFH = 60.
Answer:
y = 2
Step-by-step explanation:
Addition Method:
4x - 2y = 6
2x + y = 7
-2(2x + y) = -2(7)
4x - 2y = 6
-4x - 2y = -14
-4y = -8
y = 2
Substitution Method:
4x - 2y = 6
2x + y = 7
-2y = 6 - 4x
2y = 4x - 6
y = 2x - 3
2x + (2x - 3) = 7
4x - 3 = 7
4x = 10
x = 2.5
2(2.5) + y = 7
5 + y = 7
y = 2
Brainliest, please :)
Answer:
- April
- She did not pack enough layers of centimeter cubes
- 240 cubic centimeters
Step-by-step explanation:
Dimensions of the prism is 5x8x6
April made a mistake, she packed 4 layers of unit cubes instead of 5 layers
<u>Correct volume of the prism is:</u>
<u>Correct answer choices:</u>
- April
- She did not pack enough layers of centimeter cubes
- 240 cubic centimeters
