Answer: B. 2=3x+10x^2
Step-by-step explanation:
The expression means the quadratic function equation.
B = 10x^2 + 3x -2 = 0
the equation is [-b ±√(b^2 -4ac)]/2a
b should be +3 to become -3 when it is plugged into the equation, and 'a' should be 10, and c should be -2.
15% of 40...
15% in decimal form is 0.15...
0.15(40)= 6
your answer is 6.
Answer:
5
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4
Step-by-step explanation:
Answer:
8 feet
Step-by-step explanation:
Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.
Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.
- 2(2 1/3) + 2(1 3/4) = perimeter of rectangle
To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.
Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.
- 2(7/3) + 2(7/4)
- 14/3 + 14/4
To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.
- 14/3 (4/4) = 56/12
- 14/4 (3/3) = 42/12
Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.
You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.
The perimeter of the rectangle is 8 feet.
Answer:
A, B, C, D, E
Step-by-step explanation:
AB ≅ AC and AD bisects ∠A
This is given information from the diagram and the statement.
∠BAD ≅ ∠CAD
This is from the definition of angle bisector.
AD ≅ AD
This is reflective property of congruence.
ΔABD ≅ ΔACD
From the previous three statements, side-angle-side congruence tells us the triangles are congruent.
∠B ≅ ∠C
Corresponding parts of congruent triangles are congruent.
