You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does the ladder need to be to reach the poof of the boathouse?​

Answer:

y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)

m = [tex]\frac{-6+5}{3=2}[/tex] = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, - 5 ) , then

- 5 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = - 5 + [tex]\frac{1}{2}[/tex] = - [tex]\frac{9}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex] ← equation of line

Answer: C: x = 1/2

Step-by-step explanation:

The solution is , O c. 1/2 must be a root of the polynomial 2x² +9x-5.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here we have this:

Considering the provided mathematical operation, we are going to identify wich is the correct statement, so we obtain the following:

Since the remainder is zero, it means that setting the divisor and quotient equal to zero gives us the roots, then we have:

2x-1=0

2x=1

x=1/2

and, we have,

x+5=0

x=-5

Finally we obtain that the roots are 1/2 and -5, then the correct answer is the option C.

Hence, The solution is , O c. 1/2 must be a root of the polynomial

2x² +9x-5.

Know more about Polynomials here:

brainly.com/question/2833285

#SPJ7

Step-by-step explanation:

4) a) add up to +5x

b) multiply to -14

5) x^2 - 4x + 3 = (x - 3)(x - 1)

Answer:

aa, ca, ac, cc

Step-by-step explanation:

Answer:

(0,-4)

Step-by-step explanation:

Just enter the equation into desmos and then find where the line meets the y-axis, which is the line that comes down the middle.

Answer:

[tex]\{5,8\}[/tex] is a subset of [tex]\{2,5,8\}[/tex]

Step-by-step explanation:

Required

Difference between subset and proper subset

To answer this question, I will use the following illustration.

[tex]A = \{1,2,3\}[/tex]

[tex]B = \{2,3\}[/tex]

[tex]C = \{1,2,3\}[/tex]

In the above sets, set B is a proper subset of set A because all elements of B can be found in A, but not element of A can be found in B.

Set C is a subset of A because [tex]A = C[/tex]

Using the above illustration, we have:

[tex]\{5,8\}[/tex] and [tex]\{2,5,8\}[/tex]

[tex]\{5,8\}[/tex] is a subset of [tex]\{2,5,8\}[/tex], because 5 and 8 are in [tex]\{2,5,8\}[/tex] but 2 which ca be found in [tex]\{2,5,8\}[/tex] is not in [tex]\{5,8\}[/tex]

Answer:

umm can you tell us the options then I can say what the answer is and I'll edit or put it in the comments

Step-by-step explanation:

have a good rest of your day tho :) ❤

Answer:

a = 7

b = 3 1/2

Step-by-step explanation:

if you add the equations together then the 'b' will zero out

6a = 42

a = 7

substitute 7 for 'a' to solve for 'b'

3(7) - 2b = 14

21 - 2b = 14

-2b = -7

b = 7/2 or 3 1/2

Answer: linear

Step-by-step explanation

Answer:

first option

Step-by-step explanation:

have a good day

Answer:

3670

Step-by-step explanation:

In 1000, there are 3 zeroes

So when multiplying by 3.67(or 3.670), you just move the decimal 3 places to the right

3.670 =36.70 = 367.0 = 3670.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

B

Step-by-step explanation:

1) use a proportion to find how many students chose pizza

30 : 100 = x : 80

x = (80 x 30)/100 = 24

2) use a proportion to find how many students chose salad

10 : 100 = x : 80

x = (80 x 10)/100 = 8

3) solve the question

24 - 8 = 16

Answer:

12 STUDENTS CHOSE HAMBURGERS

24 STUDENTS CHOSE PIZZA

16 STUDENTS CHOSE SANDWHICHES

20 STUDENTS CHOSE HOT DOGS

8 STUDENTS CHOSE SALAD

24 = PIZZA

8 = SALAD

8 - 24 = 16 SO B

i dont know why everything i capitilized sorry haha

Step-by-step explanation:

Answer:

my first thought was B but C has 2 similarities in 2 answered B is 4 D is 7.5, but C has a 4 and a .5 so try C

Answer:

Option C, 4.5

Step-by-step explanation:

We can say that;

8/6 = 6/x

=> [tex]\frac{8}{6} x=6\\[/tex]

=> x = [tex]\frac{6}{(8/6)}[/tex]

=> x = 4.5

Hope this helps!

Answer:

i have explained in this picture

Step-by-step explanation:

Answer:

15 cabins will be needed

Answer:

Step-by-step explanation:

Answer:

the number is 3

Step-by-step explanation:

X= the number

7(x+9) = 84

7x+63 = 84

7x = 21

x=3

     Check:

    7(3+9) =84

      7 x12 = 84

       84=84

Answer:

[tex]X = \sqrt{39}[/tex]

Step-by-step explanation:

[tex]1)\ X^2 + 5^2 = Y^2\ (Y\ is\ the\ hypotenuse\ of\ the\ smaller\ triangle)[/tex]

[tex]2)\ Y^2 + 6^2 = 10^2[/tex]

[tex]3)\ X^2 + 25 + 36 = 100[/tex]

[tex]4)\ X^2 = 39[/tex]

[tex]5)\ X = \sqrt{39}[/tex]

Answer:

X = [tex]\sqrt{39}[/tex]

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

just did it

Answer:

its A just got it right

Step-by-step explanation:

Answer:

d) 4 + 7 - 2

Step-by-step explanation:

7 + 2 - 4 = 5

2 + 7 - 4 = 5

7 - 4 + 2 = 5

4 + 7 - 2 = 9

Answer:

Step-by-step explanation:

4+7=2

Answer:

65°

Step-by-step explanation:

Complementary angles add up to 90°. This means the measure of the other angle can be represented as

90° - 25°

or

65°

Answer:

false, a parallelogram does not have any lines of symmetry

Step-by-step explanation:

Answer:

A.

C.

Step-by-step explanation:

the shape is a 2d shape and is a polygon as a polygon needs at least 3 straight sides

3 ......................

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]2 + 1 \\ = (1 + 1) + 1 \\ = 1 + 1 + 1 \\ = 3[/tex]

Answer:

the answer's option 3 * landslide *

Step-by-step explanation:

-

Answer:

Option 3

Step-by-step explanation:

A landslide is the most occurring disaster for people living in hills

Hope it helps

Answer:

4

Step-by-step explanation:

2+2

=4

Answer:

The real answer

Step-by-step explanation: