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3 years ago

The graph shows a scuba divers ascent over time? There’s 3 questions on the picture!

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

8 0

Answer:

a) 1/8

b) -10 m

c) y = x/8-10

Step-by-step explanation:

a) The slope of the line

We start by selecting two points on the graph

These are;

(0,-10) and (80,0)

The slope ;

m = y2-y1/x2-x1

m = (0+10)/(80-0) = 10/80 = 1/8

b) The y-intercept

This is where the graph crosses the y-axis

The point is (0,-10)

c) The equation

The equation is generally written as;

y = mx + c

where m is slope and c is y-intercept

Thus;

y = 1/8x -10

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An isosceles triangle has a perimeter of 18 cm. Find a function that models its area A in terms of the length of its base b.

IgorLugansk [536]

So.... notice the picture below

now, we know what the "height" or "altitude" is
now, we also know the perimeter is 18cm

so, k + k + b = 18
or 2k + b = 18
thus $\bf k=\cfrac{18-b}{2}$

so... one can say that $\bf \textit{area of a triangle}=A=\cfrac{1}{2}bh\qquad 
\begin{cases}
b=b
\\\\
h=\sqrt{k^2-\left( \frac{b}{2} \right)^2}
\\\\
h=\sqrt{k^2-\frac{b^2}{4}}\\
--------------\\
k=\frac{18-b}{2}\qquad thus\\
--------------\\
h=\sqrt{\left( \frac{18-b}{2} \right)^2-\frac{b^2}{4}}
\end{cases}\\\\
-----------------------------\\\\
A=\cfrac{1}{2}\cdot b\cdot \sqrt{\left( \frac{18-b}{2} \right)^2-\frac{b^2}{4}}$

and you can simplify it if you wish.. not sure you have to

7 0

2 years ago

Solve : 13(3+2x)−1=10

Vinvika [58]

X= -14/13

Solve for X by simplifying both sides of the equation, the isolating the variable.

I hope this helps.

4 0

2 years ago

Which expression represents twice the sum of w and 6?

Greeley [361]

Answer:

2(w+6)

Step-by-step explanation:

8 0

3 years ago

Which of the following has the least value? -5.08 -5.1 -5.24 -4.08

sukhopar [10]

Answer: $-5.24$

$-5.24$ has the least value because it's further from 0. The biggest negative number is the least because that number is further from 0. The smallest negative number is the biggest because it's closest to 0.

Example:

Find the least value of the following numbers: -6,-2,-1,-4,-10,-3

The least value in this problem is -10 due to the fact it's further from 0. The greatest value is -1 because it's closest to 0.

Least to Greatest Order: -10,-6,-4,-3,-2,-1

Greatest to Least Order: -1,-2,-3,-4,-6,-10

5 0

3 years ago

Read 2 more answers

I need help and I’ll give 100 points

svp [43]

Answer:

the student may have made the mistake because the student was paying more attention to how many blocks he was filling in rather than how much he was filling in.

to solve the problem correctly you would just switch the decimals

0.8 > 0.08

0.8 should have 80 blocks filled

0.08 should have 8 blocks filled

5 0

2 years ago