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3 years ago

Please answer all 5 questions!!! first get brainliest

Mathematics

2 answers:

ladessa [460]3 years ago

7 0

there u go , just click on the pic and ull see every exercise

Akimi4 [234]3 years ago

3 0

Answer:

${ \tt{y = \frac{1}{3}x + 6 }} \\ \\ { \tt{3y = x + 18}} \\ \\ { \underline{ \tt{ \: \: x = 3y - 18 \: }}}$

${ \tt{y = {(x + 5)}^{2} }} \\ \\ { \tt{ \sqrt{y} = x + 5 }} \\ \\ { \underline{ \tt{ \: \: x = \sqrt{y} - 5 \: \: }}}$

${ \tt{3x - 5y = 5x + 4}} \\ \\ { \tt{5x - 3x = 4 + 5y}} \\ \\ { \tt{2x = 4 + 5y}} \\ \\ { \underline{ \tt{ \: \: x = 2 + \frac{5}{2}y \: \: }}}$

${ \tt{ \sqrt[3]{x - 9y} = 5 }} \\ \\{ \tt{x - 9y = {5}^{3} }} \\ \\{ \underline { \tt{ \: \: x = 125 + 9y \: \: }}}$

${ \tt{ax + c = bx - d}} \\ \\ { \tt{bx - ax = c + d}} \\ \\ { \tt{x(b - a) = c + d}} \\ \\ { \underline{ \tt{ \: \: x = \frac{c + d}{b - a} \: \: }}}$

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The coordinates of three of the vertices of parallelogram ABCD are A(1, 0), B(2, 3), C(3, 2). What are coordinates of the fourth

nalin [4]

Answer:

A) The coordinates of the fourth vertex are:

1) x-coordinate:

$x=2$

2) y-coordinate:

$y=-1$

B) The point of intersection of the diagonals is: $(2,1)$

Step-by-step explanation:

We need to remember that the diagonals of a parallelogram intersect each other at a half-way point and the midpoint of each diagonal is the same.

The midpoint formula is:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Since:

$M_{AC}=M_{BD}$

We can find the coordinates of the fourth vertex $D(x,y)$ through these procedure:

1) x-coordinate:

$\frac{1+3}{2}=\frac{2+x}{2}\\\\2(2)=x\\\\4-2=x\\\\x=2$

2) y-coordinate:

$\frac{0+2}{2}=\frac{3+y}{2}\\\\1(2)-3=y\\\\y=-1$

Therefore, fourth vertex is $D(2,-1)$

Since the point of intersection of the diagonals is the midpoint of a diagonal (Remember that $M_{AC}=M_{BD}$ ), this is:

$M_{AC}=M_{BD}=(\frac{1+3}{2},\frac{0+2}{2})\\\\M_{AC}=M_{BD}=(2,1)$

Therefore, the point of intersection of the diagonals is $(2,1)$

7 0

4 years ago

What multiplies to 14 but adds to negative 4?

Doss [256]

Xy 14
x + y = -4

x + y = -4
x - x + y = -x - 4
y = -x - 4

xy = 14
x(-x - 4) = 14
  x(-x) - x(4) = 14
-x² - 4x = 14
-x² - 4x - 14 = 0
-1(x²) - 1(4x) - 1(14) = 0
-1(x² + 4x + 14) = 0
-1 -1
x² + 4x + 14 = 0
x = -(4) ± √((4)² - 4(1)(14))
2(1)
x = -4 ± √(16 - 56)
  2
x = -4 ± √(-40)
  2
x = -4 ± 2i√(10)
2
x = -2 ± i√(10)

  x + y = -4
-2 ± i√(10) + y = -4
- (-2 ± i√(10)) - (-2 ± i√(10))
y = -2 ± i√(10)
(x, y) = (-2 ± √(10), -2 ± √(10))

The two numbers that multiply to 14 and add up to -4 are -2 ± i√(10).

8 0

3 years ago

Which value from the list below, when substituted for x, would represent an acute triangle with side lengths x, x+ 4, and 20? As

goldenfox [79]

Answer:

Step-by-step explanation:

just did it on edge

7 0

3 years ago

Read 2 more answers

The number of a certain bacteria doubles in a lab culture every day. suppose there are 100 bacteria to start an experiment. writ

spin [16.1K]

The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria

Is not quite that.
min 0 - 1,000
min 2 - 2,000=1,000*2^1
min 4 - 4000=1000*2^2; 
min 6 - 8000=1000*2^3

Be careful! It doubles every 2 minutes.

So, 1,000*2^x=500,000
2^x=500. It asks you to approx. You know that 2^9=512, so x=9.
Because the pop doubles every 2 minutes, the result=9*2=18 minutes.
hope it's perfect!

8 0

4 years ago

The following two-way table describes student's

guajiro [1.7K]

P ( work/ senior ) = 0.14

The attached table

required

P ( work/ senior )

This is calculated using:

P ( work/ senior ) = n ( work/ senior )/ n ( senior ).

n ( work/ senior ) = 5

n ( senior ) = 25 + 5 + = 35

So:

P ( work/ senior ) = 5/35

P ( work/ senior ) = 0.14

Add 25+5+5 (because that is all the numbers in the 'Seniors' row) and then take the 5 that is in the 'Work' column and put that over 25. (5/25 fraction as a percent is 14).

Learn more about probability at

brainly.com/question/24756209

#SPJ4

7 0

2 years ago