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3 years ago

Solve by using the perfect squares method. x2 + 4x + 4 = 0 a. 2 b. –2 c. 4 d. –4

2 answers:

7 0

Solve your equation step-by-step.

x2+4x+4=0

Factor left side of equation.

(x+2)(x+2)=0

Set factors equal to 0.

x+2=0

or

x+2=0

x=−2

Stels [109]3 years ago

5 0

$a^2+2ab+b^2=(a+b)^2 \\ \Downarrow \\
x^2+4x+4=x^2 + 2 \times 2 \times x +2^2=(x+2)^2 \\ \\
x^2+4x+4=0 \\
(x+2)^2=0 \\
x+2=0 \\
x=-2$

The answer is B.

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Which best explains whether point G can be the centroid?

wariber [46]

The answer is C.
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12:6 = 2:1

6 0

3 years ago

A map uses a scale of 3/4 in = 80 miles. If two buildings are 60 miles apart in real life, how far apart would they be drawn on

Alla [95]

Given:

The scale of a map is $\dfrac{3}{4}\ in=80\ miles$ .

The distance between two buildings is 60 miles.

To find:

The distance between the given building on the map.

Solution:

We have,

$\dfrac{3}{4}\ in=80\ miles$

It means, 80 miles in real life = $\dfrac{3}{4}\ in$ on the map.

1 mile in real life = $\dfrac{3}{4\times 80}\ in$ on the map.

60 mile in real life = $\dfrac{3\times 60}{4\times 80}\ in$ on the map.

= $\dfrac{180}{320}\ in$ on the map.

= $\dfrac{9}{16}\ in$ on the map.

Therefore, the buildings are $\dfrac{9}{16}\ in$ apart on the map.

7 0

2 years ago

HELP!

maksim [4K]

Part A

$4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3$

So, the x-intercepts are $\boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}$

Part B

The vertex will be a minimum because the coefficient of $x^2$ is positive.

The x-coordinate of the vertex is $x=-\frac{-7}{2(4)}=\frac{7}{8}$

Substituting this back into the function, we get $f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}$

So, the coordinates of the vertex are $\boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}$

Part C

Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.

The graph is shown in the attached image.

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1 year ago

Which statement is the Law of Detachment? (1 point)

creativ13 [48]

The law of detachment allows you to "detach" the hypothesis from the conclusion. If we know both that p and p → q to be true, then we may conclude that q is true.

So the answers is the fourth one: If p → q is a true statement and p is true, then q is true.

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2 years ago

R0-180(x, y) maps to the same point as 80,180(x, y). True False

mariarad [96]

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6 0

3 years ago