Two sides of a rectangle are (2x+5)cm and (4-x)cm. Find it's area.

Answer:

y = -5x + 7

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

First of all, remember what the equation of a line is:

Where:

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-3,8), point #1, so the x and y numbers given will be called x₁ and y₁. Or x₁ = -3 and y₁ = 8.

Also, let's call the second point you gave, (-2,3), point #2, so the x and y numbers here will be called x₂ and y₂. Or, x₂ = -2 and y₂ = 3.

Now, just plug the numbers into the formula for m above, like this:

[tex]m=\frac{3-8}{-2--3}[/tex]

or...

[tex]m=\frac{-5}{1}[/tex]

or...

[tex]m=-5[/tex]

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

[tex]y=-5x+b[/tex]

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-5x+b. b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,8) and (-2,3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want..the answer will be the same:

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(-3,8) and (-2,3)

is

y=-5x-7

Answer:

r = 23

Step-by-step explanation:

Using the formula

Solving for r

Answer with Step-by-step explanation:

2 ( 2x -1 ) + 3 ( x + 1 )

First, let us find the value of the above expression.

2 ( 2x -1 ) + 3 ( x + 1 )

4x - 2 + 3x + 3

Combine like terms

4x + 3x - 2 + 3

7x + 1

Therefore, it is clear that the given expression is equal to 7x + 1.

∴ 7x + 1 = 2 ( 2x -1 ) + 3 ( x + 1 )

Answer:

Step-by-step explanation:

The range is the difference between the highest and lowest values in a data set.

Answer:

8

Step-by-step explanation:

When finding the range, you have to subtract the smallest value from the biggest value,

2, 9, 7, 9, 1, 6

⇒ 1, 2, 6, 7, 9, 9

If we take a look at the set of numbers, we can see that 1 is the smallest value and 9 is the biggest,

Now that know that we need to subtract,

9 - 1

= 8

Therefore the range of this set of numbers is 8.

Step-by-step explanation:

Please check the shots I sent you'll understand it perfectly

Answer:

84

Step-by-step explana8tion:

Same Denominator We Add The Numerators:

Answer:

[tex]u + 2[/tex]

The expressions are algebraic expressions, and the equivalent expression of n⁵ * k * n⁻⁵ * k is k⁶

The expression is given as:

n⁵ * k⁵ * n⁻⁵ * k

Rewrite the expression as:

n⁵ * k * n⁻⁵ * k = n⁵ * n⁻⁵ * k⁵ * k

Apply the law of indices

n⁵ * k * n⁻⁵ * k = k⁶

Hence, the equivalent expression of n⁵ * k * n⁻⁵ * k is k⁶

Read more about equivalent expressions at:

https://brainly.com/question/2972832

#SPJ1

Answer:

k^6

Step-by-step explanation:

Answer:

b+2.673

Step-by-step explanation:

substitute the value of the variable into the equation and simpilfy

Answer:

8.807

Step-by-step explanation:

1. 6.134 + (5.68 - 3.007)

   6.134 + 2.673

   = 8.807 or [tex](\frac{8807}{1000}, 8\frac{807}{1000} )[/tex]

Answer:

the probability = 1/4

Step-by-step explanation:

Check the diagram tree I provided (it’s incomplete because it’s so long)

the probability that she starts with a black shirt equal to :

[tex]p=\frac{1}{4} \times \frac{4}{4} \times \frac{4}{4} \times \frac{4}{4} = \frac{1}{4}[/tex]

because she has :

One choice to pick a black shirt out of 4 colors

4 choices to pick pants out of 4 colors

4 choices to pick socks out of 4 colors

4 choices to pick shoes out of 4 colors

Answer:

  (a) 2.27 lb/$

  (b) 0.10 mi/min

Step-by-step explanation:

Pounds per dollar is found by dividing pounds by dollars:

  (25 lb)/($11.00) ≈ 2.272727... lb/dollar

The digit in the thousandths place is less than 5, so that digit and all digits to its right are dropped when rounding to hundredths.

  2.27 pounds per dollar

__

Speed in miles per minute is found by dividing miles by minutes:

  (6 mi)/(58 min) ≈ 0.103448... mi/min

Rounding to hundredths is done the same way as above.

  0.10 miles per minute

_____

If the digit to the right of the place you're rounding to is 5 or more, then 1 is added in the place you're rounding to when digits to its right are dropped.

Answer:

667 pizzas

Step-by-step explanation:

5-2=3 Unit CM

2000/3=666.6

Can't have .6 of a pizza, so round up

667

Answer:

By making use of Pythagoras theorem

Step-by-step explanation:

l²=4²+4²

=16+16=32

I=✓32

8²=x²+(✓32)²

64=x²+32

x²=64-32

x²=32

x=✓32

Answer:

[tex]d=\frac{18}{\pi }[/tex]

Step-by-step explanation:

We work our way backward to find the diameter.

Circumference of a Circle Formula:

[tex]C=2\pi r[/tex]

r is radius , 2*radius = diameter.

Given information: C=18 cm , pi=3.14.

[tex]C=2\pi r\\18=2\pi r\\[/tex]

Get r by itself.

[tex]r=18/2\pi\\r=9/\pi[/tex]

r≈2.864788976

2*r=d

[tex]2*9/\pi =diameter\\d=\frac{18}{\pi }[/tex]

Answer:

2

Step-by-step explanation:

log 4 +log 25

Since these two equations have the same base and are being added, we can multiply the arguments

it would be: log 100

which is 2

Answer:

2

Step-by-step explanation: In logs, the opposite of addition is multiplication. Also, there needs to be only 1 log when you're condensing. So you'll multiply 4*25=100. And just plug in your calculator log(100) which is 2.

Hope this helps.

Answer:

749.1m

Step-by-step explanation:

Hope this helped!

Answer:

That is written in standard form, no changes are needed.

9.45×10^6 is the answer

Answer: Mean

Mean is the only measure of central tendency that is always affected by an outlier.

hope this helps!

have a nice day!

Answer:

C

Step-by-step explanation:

the angle in a semicircle = 90° , that is the 3rd angle in the triangle.

the sum of the 3 angles in a triangle = 180° , then

p + 90° + 42° = 180°

p + 132° = 180° ( subtract 142° from both sides )

p = 48°

Answer:

2.22

Step-by-step explanation:

4/9 x 5

Answer:

55p

Step-by-step explanation:

iced cake = 10p more than a plain cake

iced cake = 10p + plain cake

iced cake and a plain cake together = £1

iced cake + plain cake = £1

if iced cake = 10p + plain cake, we can plug this into our second formula to get

(10p + plain cake) + plain cake = £1

10p + 2 * plain cake = £1 = 100p

subtract 10p from both sides to isolate the variable and its coefficient

2 * plain cake = 90p

divide both sides by 2 to isolate the variable

plain cake = 45p

iced cake = 10p + plain cake = 55p

Answer: 115.6

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

(240-252/240)×100

Answer:

D is the correct answer.

Step-by-step explanation:

[tex]3 {x}^{2} + 7x - {(x + 4})^{2} - 9 [/tex]

[tex]3 {x}^{2} + 7x - ( {x}^{2} + 8x + 16) - 9[/tex]

[tex]3 {x}^{2} + 7x - {x}^{2} - 8x - 16 - 9[/tex]

[tex]2 {x}^{2} - x - 25[/tex]

Answer:

512

Step-by-step explanation:

Answer:24/3=$8 each shirt

y=1x+8

Step-by-step explanation:

3 shirts are equal to $24.

24/3=$8 each shirt

The equation is y=1x+8

In the table, just times 8 for each.

For the graph, I will label it 5 for each square on the x-axis and count by 1 at the y-axis.

Answer:

-25 is the simplest form