dilations PLEASE HELP ME PLEASE

i'm gonna assume that "leg" refers to length of the triangle, so comment if you think it is wrong.

Now when it comes to a right-angled triangle, the pythagoras theorem formula can be used.

Using algebra,

let the missing length be X.

By pythagoras theorem,

5² = 3² + X²

5² - 3² = X²

X² = 5² - 3²

X = sq root ( 5² - 3² )

= 4 m

Therefore, the length of the missing leg is 4m .

Answer:

n/15

Step-by-step explanation:

[tex]\bf Step-by-step~explanation:[/tex]

[tex]\bf Step~1:[/tex]

To solve this, we have to simplify these numbers by adding like terms.

[tex]42x^2+34-8-12\\\\(34-8=26, 26-12=14)\\\\42x^2+14\\[/tex]

[tex]\bf Step~2:[/tex]

Next, we factor our expression. To do so, we look for the greatest common factor of 42 and 14, which is 14. We know that because 42 divided by 14 is 3.

[tex]\frac{42}{14} =3[/tex]

[tex]\boxed{ \bf Our~final~answer: 14(3x^2 + 1)}[/tex]

Answer:

Consecutive integers:

x

(x+1)

(x+2)

Now your equation is given by sum of the first and twice the third is equal to four times the second decreased by five:

x+2(x+2) = 4(x+1)-5

Step-by-step explanation:

Answer:

10, 11 and 12.

Step-by-step explanation:

Let the integers be x, x+1 and x+2. Then:

x + x+2 = 22

2x = 22 - 2 = 20

x = 20/2

x = 10.

Answer:

32 days.

Step-by-step explanation:

56 / 1.75 = 56 / (7/4) = 56 * 4 / 7 = 32.

Answer:

[tex]Absolute\ Value = 8[/tex]

Step-by-step explanation:

Given

Digit = -8

Required

Determine the absolute value

The absolute value is calculated as follows;

[tex]Absolute\ Value = |Digit|[/tex]

Substitute -8 for Digit

[tex]Absolute\ Value = |-8|[/tex]

And it returns the positive of its input;

So

[tex]Absolute\ Value = 8[/tex]

Answer:

p = 7

Step-by-step explanation:

Look at the picture hope this helps!

Answer:

y=7x-27

Step-by-step explanation:

The equation of a line is given by y=mx+C where m is the gradient of the line or slope and c is the intercept on your axis. according to your question, you are given two point on (3,-6) and (5,8). so we can get the gradient m= Y2-Y1/X2-X1= gradient. so Y1= -6, Y2=8 , X1=3, X2=5

slope= 8-(-6)/5-3=14/2=7. so m=7....so the equation of line can be written in form y=7x+C. but we need to find C. C can be gotten from where the line passes through (3,-6) that is when x=3, y=-6. so we can find C from that point. -6=7(3)+C..so we have -6=21+C. C=-6-21=-27

so the equation of the line is y=7x-27

Answer:

HI

Step-by-step explanation:

the answer is 3/n - 5 = -7

Step-by-step explanation:

a= - 5 - b

Subs. the above into...

ab = - 24

(-5-b)b = - 24

Therefore b=-24 or b=19

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

a + b = - 5 → (1)

ab = - 24 → (2)

Rearranging (1) expressing a in terms of b, that is

a = - 5 - b → (3)

Substitute a = - 5 - b into (2)

b(- 5 - b) = - 24 ← distribute left side

- 5b - b² = - 24 ( subtract - 5b - b² from both sides )

0 = b² + 5b - 24 ← in standard form

0 = (b + 8)(b - 3) ← in factored form

Equate each factor to zero and solve for b

b + 8 = 0 ⇒ b = - 8

b - 3 = 0 ⇒ b = 3

Substitute these values into (3) for corresponding values of a

b = - 8 : a = - 5 - (- 8) = - 5 + 8 = 3

b = 3 : a = - 5 - 3 = - 8

Thus

a = 3, b= - 8 or a = - 8, b = 3

Answer:

-x - 3

Step-by-step explanation:

(3x - 4) - (4x - 1)​ =

The first set of parentheses is unnecessary, so you can just remove it.

= 3x - 4 - (4x - 1)​

To remove the second set of parentheses, you must distribute the negative sign to its left by the terms inside the parentheses. To do this, change every sign inside the parentheses.

= 3x - 4 - 4x + 1

Now combine like terms. Terms with x are like terms and are combined together. Therms without x are like terms and are combined together.

= 3x - 4x - 4 + 1

= -x - 3

Answer:

first one -4+3 is -1 not 1

Answer:

The first one

−4+3=−1

note: remember to take the comma out or ignore it. I put it in there to help make the number more readable

===========================================

Explanation:

Let x be the value of the sale in dollars.

x-1900 represents the leftover amount that is over 1900

eg: if x = 2200, then x-1900 = 2200-1900 = 300 is the the leftover amount

taking 9% of (x-1900) leads to the expression 0.09(x-1900) and this expression must be 1000 since this is the extra amount of money the salesman needs (he already has $1000 in base pay)

-------------

Solve for x

0.09(x-1900) = 1000

x-1900 = 1000/0.09

x-1900 = 11,111.11111 approximately

x = 11,111.11111 + 1900

x = 13011.1111

x = 13,011.11 rounding to the nearest cent

Answer:

a = 16

Step-by-step explanation:

6 = a/4 + 2

Switch sides.

a/4 + 2 = 6

Subtract 2 from both sides.

a/4 = 4

Multiply both sides by 4.

a = 16

Answer: i will help you the best that I can! :)

Answer:60.58

Step-by-step explanation:add the first numbers 64.67 take that from 125.25 and u got 60.58

Answer:

60.58

Step-by-step explanation:

Subtract the first 2 numbers which equals 64.67 then subtract 64.67 and 125.25 and you get... 60.58

please brainliest??

Answer:  d) 6   e) 10     g) 900

Step-by-step explanation:

d) [tex]\sqrt{9610} = 98.0306[/tex]

98² = 9604

9610 - 9604 = 6

e) [tex]\sqrt{2906}=53.9073[/tex]

54² = 2916

2916 - 2906 = 10

g)              10            12          15

                 ∧             ∧            ∧

               2·5         2·2·3       3·5

The Perfect square is: 2² · 5² · 3² = 30²

30² = 900

18.84 rounded to the nearest tenth is 18.8.

Rounding to place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We can see that round a number to the nearest tenth, we need to look at the digit in the hundredth place. In this case, the number is 18.84.

Therefore, digit in the hundredth place is 4.

If the digit in the hundredth place is less than 5, we round down to the previous tenth. If it is 5 or greater, we round up to the next tenth.

Since 4 is less than 5, we round down. Therefore, 18.84 rounded to the nearest tenth is 18.8.

Learn more about rounding numbers  here:

brainly.com/question/1285054

#SPJ6

Answer:

(fog)(x) = f(g(x)) = 3(x^2 + 1 ) + 2

Step-by-step explanation:

For this problem, you simply need to understand the notation (fog)(x) is equivalent to f ( g ( x ) ).  This means you simply plug the function g(x) into each x within the function of f(x).  Let's do this:

f(x) = 3x + 2

g(x) = x^2 + 1

f(g(x)) = 3(x^2 + 1 ) + 2

(fog)(x) = f(g(x))

Cheers.

Answer:

x=2

Step-by-step explanation:

Answer:

Distance is the number of units between two integers. Use number line to find the distance between each pair of integers.

X =  1

Y = 5

Z = 3

Step-by-step explanation:

its easy lol

Answer:

X =  1

Y = 5

Z = 3

or 1 5 3

Step-by-step explanation:

Answer:

S is -2,-3   r -3,-4   R  0,-5

Step-by-step explanation:

is the reflection points :)

Step-by-step explanation: For example, 5 can be written as 5/1. The natural numbers, whole numbers, and integers are all subsets of rational numbers.