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4 years ago

Use perfect square factoring patterns y^2 + 16y + 64 = 0

1 answer:

8 0

Arrange your given equation to resembles the form
a^2 +2ab+ b^2 because this equals (a+b)^2

So we get:
y^2+16y+8^2=0

Now compare
y^2+16y+8^2 to a^2 +2ab+ b^2

So we got
y^2+2•8 y+8^2=0 which equals (y+8)^2

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Find the value of BC. HELP PLEASE!!

Masteriza [31]

It's an equilateral triangle, therefore

AB = BC = BA

We have the equation:

$\dfrac{3}{2}x-12=\dfrac{1}{2}x-2\qquad\text{multiply both sides by 2}\\\\3x-24=1x-4\qquad\text{add 24 to both sides}\\\\3x=x+20\qquad\text{subtract x from both sides}\\\\2x=20\qquad\text{divide both sides by 2}\\\\x=10$

$BC=BA\to BC=\dfrac{1}{2}(10)-2=5-2=3$

<h3>Answer: BC = 3</h3>

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3 years ago

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It takes a boat going upstream 5 hours to cover the same distance, as it would cover in 3 hours going downstream. What is the sp

Vaselesa [24]

Answer: 15 kilometers per hour

Step-by-step explanation:

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3 years ago

What is the slope of the line

vfiekz [6]

Answer: 3

You can find slope by using the 'rise over run' method. Find 2 clear points and count the number of units between those points, across the x axis and up the y axis. You should have 3/1 (y/x) as your slope.

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3 years ago

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which rule would apply to the expression w^2w^3. A.addition rule. B.power rule. C.distributive rule. D.quotient to difference ru

Free_Kalibri [48]

"Power rule" is the one rule among the following choices given in the question that <span>would apply to the expression w^2w^3. The correct option among all the options that are given in the question is the second option or option "B". I hope that this is the answer that has actually come to your desired help.</span>

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3 years ago

Carmen and Matt are conducting different chemistry experiments in school. In both experiments, each student starts with an initi

dangina [55]

This question is incomplete and it lacks an attached graph. Find attached to this answer, the appropriate graph.

Complete Question

Carmen and Matt are conducting different chemistry experiments in school. In both experiments, each student starts with an initial amount of water in a flask. They combine two chemicals which react to produce more water. Carmen's experiment starts with 30 milliliters of water in a flask, and the water increases in volume by 8.5 milliliters per second. Matt's experiment starts with 10 milliliters of water and increases in volume by 28% each second. The graph represents the volume of water in the two flasks in relation to time. Which two conclusions can be made if f represents the volume of water in Carmen's flask and g represents the volume of water in Matt's flask? a) The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [0, 2].

b) The volume of water in Carmen's flask is increasing at a faster rate than the volume of water in Matt's flask over the interval [6, 8].

c) The volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.

d) The volume of water in Matt's flask will eventually be greater than the volume of water in Carmen's flask.

e) The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [4, 6].

Answer:

c) The volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.

e) The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [4, 6].

Step-by-step explanation:

Looking at the graph, the average rate of change is given as [0,2], [4,6], and [6,8].

From the graph and question, we can tell that Matt's experiment starts with 10 milliliters of water and increases in volume by 28% each second

Which would gives us:

28% of 10 milliliter of water = 2.8 millimeters per second.

For Carmen , his experiment starts with 30 milliliters of water in a flask, and the water increases in volume by 8.5 milliliters per second,

Because, Carmen starts with 30 milliliters of water in his flask, the volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.

Secondly, comparing the quantity as which the volume of the flask increases per second, at the interval of [4, 6], the volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval

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3 years ago