A drawing of a sailboat was made using a rectangle and two right triangles, as shown.



6 cm, 2 cm, 3 cm, 2.5 cm, 12 cm



What is the area of the drawing of the sailboat in square centimeters?

Answer (assuming it can be in slope-intercept form):

[tex]y = -\frac{5}{4} x-7[/tex]  

Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(3)-(-7)}{(-8)-(0)}\\m = \frac{3+7}{-8-0} \\m = \frac{10}{-8} \\m = -\frac{5}{4}[/tex]

So, the slope is [tex]-\frac{5}{4}[/tex].

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute real values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{5}{4}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

[tex]y-(-7) = -\frac{5}{4} (x-(0))\\y + 7 = -\frac{5}{4} x\\y = -\frac{5}{4} x-7[/tex]

Answer:

(B) 0.42=0.420

PLEASE MARK ME AS BRAINLIEST....

Answer:

a.  rate to empty the tank = - 2/3 gal/min

b,  7.5 min to empty the tank

c.  4.5 min.

Step-by-step explanation:

I use the formula that the work done = rate of work times the time working = W = rt

The work in this problem is emptying the tank.  

a.  The rate to empty the tank is -2 gal/3 min or - 2/3 gal/min

b.   5/(2/3) = 15/2 = 7.5 min to empty the tank

c.    Since 3 gal. had already drained, 3/(2/3) = 9/2 = 4.5 min.

Answer:

D

Step-by-step explanation:

if x=5 then,

y=-6×1+11

=-6+11

=5

Answer:

A ; g(x) = (1/2 x)^2

Step-by-step explanation:

Here, we want to get g(x)

we have a point on the curve g(x)

The point is represented by (2,1)

What this mean here is that, when x = 2, y = 1

Looking at the first option;

Substitute 1 for y and 2 for x

1 = (1/2 * 2)^2

1 = 1

This means this is our answer

The equation for g(x) is;

g(x) = (1/2 x)^2

Answer:

the answer is b

Step-by-step explanation:

because the point is located at the number given the answer is b

Answer:  8 feet!

Step-by-step explanation:

To find the width, we have to find out what number multiplied by 9 gives us 72.

The width of the mural is 8 feet!

Answer:

c. 4x

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The value of the account will reach to $1,830 in 15 years.

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, Mackenzie invested $770 in an account paying an interest rate of 6.1% compounded continuously after a certain period of time the mount becomes $1830

We know that,

[tex]A = P(1+r)^n[/tex]

Where, A = amount, P = principal, r = rate and n = time.

1830 = 770(1+0.061)ⁿ

1830 / 770 = (1.061)ⁿ

2.37 =  (1.061)ⁿ

Taking log both side,

log(2.37) = n log(1.061)

n = log(2.37) / log(1.061)

n = 14.57 ≈ 15

Hence, the value of the account will reach to $1,830 in 15 years.

For more references on Compound interest, click;

https://brainly.com/question/14295570

#SPJ2

Answer: 15°

Step-by-step explanation:

Answer:

I think its 14 students

Step-by-step explanation:

40%x35=14

Answer:

14 students

Step-by-step explanation:

40% of 35 is 14. Therefore, it is 14. I hope this helps!

Answer:

6

Answer:

6+18

Step-by-step explanation:

HELP ME SOMEONE PLS ANSWER MY QUESTION FROM MY PROFILE.

Answer:

I  attached an image of the graph, and as you can see the function  approaches 1 as x approaches  infinity and negative infinity.

So, the correct answer is D.

Let me know if this helps!

Answer:

I believe that it would be D. The Function approaches as x approaches - inf and inf

Answer:

684 meters 2

hope this helped

Answer:

M=-9/8

Step-by-step explanation:

-3/8-3/4=-3/8-6/8=-9/8

Answer:

m = -9/8

Step-by-step explanation:

First, let's get m by itself by subtracting 3/4 from both sides:

m = -3/8 - 3/4

The least common denonimator between our two fractions is 8, so we can turn 3/4 into the equivalent fraction 6/8 to subtract our two fractions:

m = -3/8 - 6/8 = -9/8

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

No because you can split a tree

Step-by-step explanation:

Answer: decreases

Step-by-step explanation:

Answer:

1. x=5/4

2. x=-4

3. x= 9/10

Step-by-step explanation:

Let's solve your equation step-by-step.

−x+3=3x−2

Step 1: Subtract 3x from both sides.

−x+3−3x=3x−2−3x

−4x+3=−2

Step 2: Subtract 3 from both sides.

−4x+3−3=−2−3

−4x=−5

Step 3: Divide both sides by -4.

−4x/−4 = −5/ −4

x= 5/4

Answer:

x= 5/4 (5 over 4)

Let's solve your equation step-by-step.

1.5x−3=2.25x

Step 1: Subtract 2.25x from both sides.

1.5x−3−2.25x=2.25x−2.25x

−0.75x−3=0

Step 2: Add 3 to both sides.

−0.75x−3+3=0+3

−0.75x=3

Step 3: Divide both sides by -0.75.

−0.75x/−0.75=3/−0.75

x=−4

Answer:

x=−4

Let's solve your equation step-by-step.

−1/3x+2=3x−1

Step 1: Subtract 3x from both sides.

−1/3x+2−3x=3x−1−3x

−10/3x+2=−1

Step 2: Subtract 2 from both sides.

−10/3x+2−2=−1−2

−10/3x=−3

Step 3: Multiply both sides by 3/(-10).

(3/−10)*(−10/3x)=(3/−10)*(−3)

x=9/10

Answer:

x=9/10 (9 over 10)

Answer:

Angles in a pentagon add to 540 degrees.

100+80+160+91+x =540

431+x=540

109=x

Hope this helps!

Answer:

47

Step-by-step explanation:

Answer:

Lollipops cost $0.25

Step-by-step explanation:

4C + 8L = $8.00

3C + 10L = $7.00.                  We need to cancel out chocolate bars

-12C - 24L = $-24.00        Mulitply by -3

12 C + 40L = $28.00           Muliply by 4          Next simplify

16L = $4.00                   Divide both sides by 16

L = $0.25

WE CAN EVEN CHECK OUR WORK

4C + 8(0.25) = $8.00

4C = $6.00

C = 1.5

3(1.5) + 10(.25) = $7.00

4.5 + 2.5 = 7

Answer:

[tex]21cm^{3}[/tex]

Step-by-step explanation:

According to the problem, calculation of given data are as follows,

Volume of cylindrical vase = [tex]63cm^{3}[/tex]

As, Cone has same height and radius as cylinder, than we can calculate volume of cone by using following formula,

Volume of cone = [tex]\frac{1}{3}[/tex] × Volume of cylindrical vase

By putting the value, we get

Volume of cone = [tex]\frac{1}{3}[/tex] × 63

Volume of cone = [tex]21cm^{3}[/tex]

Answer:

c

Step-by-step explanation:

x^4 * x^(4) = x^16

(x^2)^(4)=x^8

^(4)*^(4)=16

Answer:

Step-by-step explanation:

Answer: $9.60

Step-by-step explanation:

First, we need to calculate the discount given on the pizza. This will be:

= 40% × $16.

= 40/100 × $16

= 0.4 × $16

= $6.40

Then the new price will be gotten by subtracting the amount given off from the original price. This Will be:

= $16 - $6.40.

= $9.60

The new price is $9.60

Answer:

The area is 6 1/3

Step-by-step explanation:

The equation for finding the area of a rectangle is l x w.

w = 3 1/3

l = 4 3/4

3 1/3 x 4 3/4 = 6 1/3

So the area of the rectangle is 6 1/3