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Mathematics

1 answer:

Gelneren [198K]3 years ago

5 0

Answer:
D

Explanation:

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The standard form of the equation of a parabola is y = 7x2 + 14x + 4.

Alex17521 [72]

The vertex form is y=7(x+1)^2-3

5 0

4 years ago

Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn, and rode 3 miles to the local swimming pool.

dem82 [27]

Answer:

Keith travelled 4.2 miles if he had ridden directly to the pool

Step-by-step explanation:

Given: In a right triangle, the distance from the angle with measure 90 degrees to Keith's pool is 3 miles, and the distance to the pool is 3 miles.

To find: Distance travelled by Keith if he moved directly from house to swimming pool

Solution:

ΔABC is a right angled triangle.

Using Pythagoras theorem, square of hypotenuse is equal to sum of squares of base and perpendicular

$AC^2=AB^2+BC^2\\=3^2+3^2\\=9+9\\=18\\\Rightarrow AC=\sqrt{18}=4.2\,\,miles$

Keith travelled 4.2 miles if he had ridden directly to the pool

3 0

4 years ago

Read 2 more answers

What is the solution to the system of equations?

Leto [7]

Answer:

(x, y) = (8, -1)
(x, y) = (7, 10.5)

Step-by-step explanation:

1. You can use the expression for y to substitute into the first equation:

2x +4(1/4x -3) = 12

2x +x -12 = 12 . . . . . . eliminate parentheses

3x = 24 . . . . . . . . . . . add 12; next divide by 3

x = 8 . . . . . matches choice C

2. You can use the expression for y to substitute into the second equation:

x -2(2x -3.5) = -14

-3x +7 = -14 . . . . . . eliminate parentheses

21 = 3x . . . . . . . . . . add 3x+14; next divide by 3

7 = x . . . . . matches the third choice

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When the answer choices are sufficiently different, you only need to find one value to determine which is the correct choice. (If you want to check your work further, you can substitute the other answer value into the two equations to see if it works.)