Find the distance between points p (-2,6) and q (4,-8)

Answer: D.  5.3 m

Step-by-step explanation:

The ladder leaning against the wall causes it to forma  right angle.  

The right angle has two sides , which is  the two legs, and the hypotenuse.

Using the formula a^2 + b^2 = c^2 , a  and b are the two legs and c is the hypotenuse. In this case, a will be the wall, b will be 1.5 m  and the ladder which is 5.5 m will be the hypotenuse.  

Input the values for a and c to sole for b using the formula.

1.5^2 + b^2 = 5.5^2

2.25 + b^2 = 30.25

-2.25                 -2.25

   b^2 = 28

   b = [tex]\sqrt{28}[/tex]

  b = 5.2915   rounded to one decimal place is the same as rounding it to the nearest tenth, and 5.29 rounded to the nearest tenth is 5.3.

Height of top of ladder above the ground  that is resting on the wall, correct to one decimal place is 5.3 m

hence option D is correct.

According to Pythagoras theorem

In a right triangle

[tex]\rm H^2 = P^2 + B^2[/tex]

[tex]\rm P = \sqrt {H^2 - B^2 }.........(1)\\where \\H = Hypotenuse \; of \; right\; triangle\\B = Base\; of \; the \; right\; triangle \\P = Perpendicular \; of \; the\; right\; triangle[/tex]

In the given situation the the ladder forms the right triangle with the wall

Length of the ladder = 5.5 m

Length of the base of ladder from the wall = 1.5 m

Let K be the height of top of ladder above the ground  that is resting on the wall.

Hence  from equation (1) we can write

[tex]\rm K = \sqrt{5.5^2 - 1.5^2} = \sqrt{28} = 5.291 \approx \bold{5.3}[/tex]  m

Height of top of ladder above the ground  that is resting on the wall, correct to one decimal place is 5.3 m

hence option D is correct.

For more information please refer to the link given below

https://brainly.com/question/16426393

Answer:

25/12 or 2 1/12

Step-by-step explanation:

calculator

Answer:

f(x)=20+4x = -5

Step-by-step ;

answer is -5 .

Answer:

-15

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

Its a positive in the first place bc of the two negatives beside each other so the opposite would be -15

Answer:

Step-by-step explanation:

Substituting n with -2

Answer:

y + (-3) = -8

Step-by-step explanation:

i just know

pls mark branliest

Answer:

y=-2/3x+8

Step-by-step explanation:

first, find the y intercept, or b.

write your equation so far: y = -2/3x + b

Now substitute in your given point (6,4)

so now we got: 4 = -2/3(6) + b

which gives you: 4 = -4 + b

Now, we find b.

4 = -4 + b  

+4    +4      < isolating b...

8 = b

now put it back in..

y=-2/3x+b

hope this helped luv <3

Answer: 35

Step-by-step explanation: 85% of 40 basically you multiply 0.85 by 40 :)

Any even number raised to any power will remain even. (e.g. 2² = 4, 2³ = 8, etc)

Any odd number raised to any power will remain odd. (e.g. 1² = 1³ = ... = 1, 3⁴ = 81, etc)

So [tex](n+1)^{2^k}-n^{2^k}[/tex] will always be even, since both

[even] - [odd] = [odd]

and

[odd] - [even] = [odd]

Answer:

ABC is a right angled triangle

BCD is also a right angled triangle

ABD is a scalene triangle

9514 1404 393

Answer:

  ∆ABC ~ ∆BDC ~ ∆ADB

Step-by-step explanation:

The given triangle is named using the largest acute angle vertex (A) first, followed by the right angle vertex (B), then the remaining vertex (C). Using that same order, the triangles, largest-to-smallest are ...

  ∆ABC ~ ∆BDC ~ ∆ADB

Answer:

C

Step-by-step explanation:

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(4-1)^2+(1-0)^2}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(3)^2+(1)^2}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {9+1}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt {10}[/tex]

Answer:

[tex]\frac{\sqrt{2} }{8}[/tex]

Step-by-step explanation:

Using the exact values of the given trig functions, then

sin45° × sin30° × cos60°

= [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{\sqrt{2} }{8}[/tex]

Answer:

10,600 cookies will be made in 8 hours

Step-by-step explanation:

1325 × 8 = 10,600

Answer:

3 meters

Step-by-step explanation:

Distance covered in 1 second

[tex] = \frac{7.5}{2.5} \\ \\ = 3 \: m[/tex]

Answer:

a) [tex]3c^2-11c+12[/tex]

b) 3 terms in simplified expression

c) 3 is leading coefficient

d) 2 is the degree of simplified expression

Step-by-step explanation:

We need to perform subtraction of [tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)[/tex]

a) What did you need to distribute to the second polynomial to rewrite?

We need to multiply - sign with the terms inside the bracket.

Perform subtraction. Then, answer:

[tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)\\=5c^2 - 3c + 9 - 2c^2- 8c +3\\Combining \ like \ terms\\=5c^2-2c^2-3c-8c+9+3\\=3c^2-11c+12[/tex]

b) How many terms in the simplified expression?

There are 3 terms in the simplified solution [tex]3c^2-11c+12[/tex]

c) What is the leading coefficient of the simplified expression?

The leading coefficient is the coefficient with highest degree. The highest degree is 2 so, leading coefficient is 3

d) What is the degree of the simplified expression?

The highest degree is considered as the degree of simplified expression. In our case [tex]3c^2-11c+12[/tex] the highest degree is 2

Answer : Its $15

Step-by-step explanation:

Because thats the average price for a student.

I know its correct!!!

Answer:

$3.75

Step-by-step explanation:

give brainliest please

Answer:

y= - 5x+40

Step-by-step explanation:

I graphed this out. Remember that in parallel lines, the slopes are always the same.  

Answer:

b is your answer hope it helps

Answer:

Step-by-step explanation:

9/3 = 3

3+4 = 7

The answer is 7!

Answer:

7

Step-by-step explanation:

First, plug in m.

9/3+4

Because this equation has multiple operations, we need to use the order of operations, aka PEMDAS. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. First in the order of operations that we have in this equation is multiplication/division. So, we need to divide 9/3 before adding.

9/3=3

The equation is now simplified to 3+4, which is 7.

Hope this helps! Have a great day :D

Answer:

Recursive:

[tex]f(1)=35, f(n)=f(n-1)+10[/tex]

Explicit:

[tex]f(n)=35+10(n-1)[/tex]

And the 20th term is 225.

Step-by-step explanation:

We have the sequence:

35, 45, 55, 65.

Notice that each subsequent term is 10 more than the previous term.

Therefore, our common difference is (+)10.

Recursive Rule:

The standard format for the recursive rule is:

[tex]f(n)=a, f(n)=f(n-1)+d[/tex]

Where a is the initial term and d is the common difference.

From our sequence, we know that a the initial term is 35.

And as determined, our common difference d is 10.

Substitute. Hence, our recursive rule is:

[tex]f(1)=35, f(n)=f(n-1)+10[/tex]

Explicit Rule:

The standard format for the explicit rule is:

[tex]f(n)=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

[tex]f(n)=35+10(n-1)[/tex]

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

[tex]f(20)=35+10(20-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}[/tex]

Hence, the 20th term is 225.

Step-by-step explanation:

could you please mark me as the brainliest answer

Step-by-step explanation:

The sides enclosing the right angle are the perpendicular and the base of the right angled triangle.

Then the area of the triangle will be

2

1

×150×200=15,000 m

2

.

Answer:

x= kaylas age

older sister: 2x+1

younger sister: x-3

x+2x+1+x-3=26

4x-2=26

4x=28

x=7 years old

Step-by-step explanation:

Answer:In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

Step-by-step explanation:

Answer:

Always

Step-by-step explanation:

Answer:

never.

Step-by-step explanation: