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3 years ago

Select the correct answer.

Mathematics

1 answer:

koban [17]3 years ago

7 0

Answer:

im not positive but i think C

Step-by-step explanation:

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Write the expression (4x-2) x 6(2x+7) in the standard from of a quadratic expression, ax^2+bx+c. What are the coefficients of ea

umka21 [38]

A=48
b=144
c=-84

First, you simplify the second equation by multiplying 6 to 2x and 6 to 7. Then, you get the two equations, (4x-2) times (12x+42). You then use the FOIL method, multiplying 4x to 12x, 4x to 42, -2 to 12x, then -2 to 42. Simplify. Then number before x squared is your a value, value before x is b, and the value without x is c.

5 0

4 years ago

The sum of the diagonals of a rhombus is 5√2.

Alex

Greetings!
Let ABCD be a rhombus
AC + BD = 5√2 cm

Area of ABCD = Ar△ABD + Ar △BCD
$= \frac{1}{2} \times BD \times AO + \frac{1}{2} \times BD \times OC$
$= \frac{1}{2} BD (AO + OC)$
$\frac{1}{2} BD \times AC$

$So, \frac{ BD \times AC}{2} = 4 \: cm {}^{2}$
$BD \times AC = 8$
$Now, AC + \: BD = 5 \sqrt{2}$

Squaring both sides, we get
$AC {}^{2} + BD {}^{2} + 2 AC.BD =50$
$AC {}^{2} + BD {}^{2} + 2 \times 8 = 50$
$AC {}^{2} + BD {}^{2} = 50 - 16$
$AC {}^{2} + BD {}^{2} = 34$

In △AOB, we have
$OA {}^{2} + OB {}^{2} =AB {}^{2}$
$( \frac{ AC }{2} ) {}^{2} + ( \frac{ BD}{2} ) {}^{2} = AB {}^{2}$
$\frac{ AC {}^{2} } {4} + \frac{ BD {}^{2} }{4} = AB {}^{2}$
$AC {}^{2} + BD {}^{2} = 4 AB {}^{2}$
$34 = 4 AB {}^{2}$

Square rooting both sides
$\sqrt{34} = 2 AB$
$Perimeter = 4 \: AB \\ = 2 \times 2 \: AB \\ = 2 \: \times \sqrt{34 } \\ = 2 \sqrt{34 \: } units$ .

Hope it helps!

7 0

3 years ago

WHAT IS 0.75% OF 387

ExtremeBDS [4]

Easy way to get the answer, get your handy calculator and do 387*.75 = 290.25

6 0

3 years ago

Read 2 more answers

Ancy wants to make a graph to show the relationship between the temperature of water, in degrees Celsius, and the time, in secon

just olya [345]

1. It will not be spread out horizontally across the entire coordinate plane because in Step 4, Nancy selected an incorrect scale on the axis. This is true (though I wouldn't have used the word "incorrect") but the "incorrectness" is relatively small.

2. It will not be spread out vertically across the entire coordinate plane because in Step 5, Nancy selected an incorrect scale on the y-axis. This is true and the "incorrectness" is relatively large.

3. It will not be spread out horizontally across the entire coordinate plane because in Step 2, Nancy plotted time instead of temperature on the axis. This is plain nonsense!

4. It will not be spread out vertically across the entire coordinate plane because in Step 3, Nancy plotted temperature instead of time on the y-axis. This is also plain nonsense!

So, of the options on offer, I think 2. best describes the graph

7 0

3 years ago

Read 2 more answers

Please help me solve this question

const2013 [10]

angle D = 92°

Step-by-step explanation:

Since the two figures are congruent.

angle D = angle K

20x + 12 = 25x - 8

5x = 20

x = 4

Substituting this value into angle D, we see that

angle D = 20x + 12

= 20(4) + 12

= 92°

4 0

3 years ago