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kherson [118]
3 years ago
14

Draw the graph of 2y=2x+8​ Need Help with this. To name the Slope.

Mathematics
1 answer:
dusya [7]3 years ago
8 0
Solve for y (change the equation to slope-intercept form.
2y = 2x + 8. Divide each term by 2
y = x + 4.
So slope is 1
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Which are solutions of x2=-11+4?
Dovator [93]

For this case we have a quadratic equation of the form:

ax ^ 2 + bx + c = 0\\x ^ 2 + 11x-4 = 0

Where:

a = 1\\b = 11\\c = -4

We find the roots:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\x = \frac {-11 \pm \sqrt {11 ^ 2-4 (1) (- 4)}} {2 (1)}\\x = \frac {-11 \pm \sqrt {121 + 16}} {2}\\x = \frac {-11 \pm \sqrt {137}} {2}

The roots are:

x_ {1} = \frac {-11+ \sqrt {137}} {2}\\x_ {2} = \frac {-11- \sqrt {137}} {2}

Answer:

x_ {1} = \frac {-11+ \sqrt {137}} {2}\\x_ {2} = \frac {-11- \sqrt {137}} {2}

3 0
3 years ago
Read 2 more answers
From a balloon 1191 feet high, the angle of depression to the ranger headquarters is 72°54'. How far is the headquarters from a
Volgvan
If you take a look at my really poorly drawn diagram, we can see it is a trigonometry problem. The angle, however, is outside the triangle, and we can find the angle inside the triangle next to it by taking it away from 90°:
90°0' - 72°54' = 17°6' ≈ 17.1°.
We can find the other angles becuase one is 90° and the other is:
180°-90°-17°6'=72°54' ≈ 72.9°(which you can see if you know your angle theorems).

We now have diagram 2, nicely simplified so we can see where to go.
Using the Sine Rule, i.e.
\frac{sin(A)}{a} = \frac{sin(B)}{b}
We can rearrange to find our length b:
b=a \frac{sinB}{sinA}
Substituting numbers in:
b=1191 \frac{sin(17.1)}{sin(72.9)} =366.399...ft
b=366 feet.

8 0
3 years ago
a tennis ball is served from a height of 8 feet and just clears the net that is three feet high. The server is 40 feet from the
emmasim [6.3K]

Answer:

24

Step-by-step explanation:

7 0
2 years ago
A printing company charges a fixed rate to set up the printing press, plus a cost of $3.50 for every 100 copies. If 800 copies c
pychu [463]
The answer is $12,052.5. youd divide 800 into 1500 then you multiply the answer you get by 6400 then add (1500/100) x 3.5 to get your answer.
6 0
3 years ago
I don’t know how to do this. Can someone help?!
diamong [38]

Answer:

The area is 16.62

Step-by-step explanation:

The expression you use is pi x r squared. which is 3.14 x 2.3 x 2

4 0
3 years ago
Read 2 more answers
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