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3 years ago

To solve by completing the square, what needs to be moved in this equation? x² = 9 - 4x

Mathematics

1 answer:

sashaice [31]3 years ago

5 0

-4x needs to be moved to the other side

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Tanya is training a turtle for a race. For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile. At wh

vazorg [7]

Answer:

$\frac{6}{20} \ mile\ per\ hour$

Step-by-step explanation:

Given:

For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile

Question asked:

At what unit rate is the turtle crawling?

Solution:

As here time taken is given and the distance traveled is also given and hence we will apply speed and distance formula to find rate of crawling of turtle.

Time taken by turtle = $\frac{1}{2} \ hour$

Distance which can be traveled by turtle = $\frac{3}{20} \ miles$

$Speed =\frac{Distance}{Time}$

$=\frac{3}{20} \div\frac{1}{2} \\\\ =\frac{3}{20} \times\frac{2}{1} \\ \\ =\frac{6}{20}$

Therefore, the rate at which the turtle is crawling is $\frac{6}{20} \ mile\ per\ hour$

4 0

3 years ago

Uses both multiplication and addition to find the result

krok68 [10]

Answer:

Where's the question or picture?

Step-by-step explanation:

8 0

3 years ago

In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagon

mote1985 [20]

if we name that part x, then we can say

1/x = 1/a + 1/b

3 0

3 years ago

For f(x) = 2x + 3 and g(x) = x2 – 8, find (f + g)(x).

Nataly_w [17]

Answer:

x² + 2x - 5

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 2x + 3 + x² - 8 ← collect like terms

= x² + 2x - 5

8 0

3 years ago

# 6x²-12x-25=-7 vertex axis of symmetry

tino4ka555 [31]

Axis of symmetry: x=1
Vertex: (1, -24)

Explanation:

6x²-12x-25=-7

6x²-12x-18=0

a=6, b=-12, c=-18

Formula of axis of symmetry: x=-b/2a

x=-b/2a

x= -(-12)/2(6)

x= 12/12

x= 1

Vertex: (1,?)

Sub x= 1 into the equation,
6(1)² - 12(1) - 18 = y

6 - 12 - 18 = y

y = -24

4 0

3 years ago

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