Use the graph at the top to figure out the question. If someone could help they would be great! And brainliest.

Mathematics

1 answer:

mariarad [96]3 years ago

8 0

Answer: A

Step-by-step explanation:

Each gallon costs 3 dollars.

8(gallons) times $3(for each gallon) = 24(dollars).

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The line that is perpendicular to y=-x and passes through the point (2,4) is y=x+ ___?

iris [78.8K]

Answer:

B. 2

Step-by-step explanation:

1) all the perpendicular lines are: y=x+C, where C - number;

2) in order to calculate C: to substitute (2;4) into the equation y=x+C:

4=2+C; ⇒ C=2;

3) finally, the required equation is: y=x+2.

The answer is B. 2.

3 0

2 years ago

19. Solve the equation 3cos x = 8tan x, between Oº and 360°

Alex

$3\cos x=5\tan x\\\\3\cos x=5\cdot\dfrac{\sin x}{\cos x}\\\\3\cos^2 x=5\sin x\\\\3(1-\sin^2x)=5\sin x\\\\-3\sin^2x-5\sin x+3=0\\\\t=\sin x\qquad\qqaud t\in\\\\-3t^2-5t+3=0\\\\3t^2+5t-3=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-3\\\\t=\dfrac{-5\pm\sqrt{5^2-4\cdot3\cdot(-3)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+36}}{6}=\dfrac{-5\pm\sqrt{61}}{6}\\\\t_1=\dfrac{-5+\sqrt{61}}{6}\approx0.4684\ ,\qquad t_2=\dfrac{-5-\sqrt{61}}{6}\approx-2.136\notin$

$\sin x=0.4684\quad\wedge\quad x\in(0^o,\ 360^o)\\\\x\approx28^o\qquad\qquad\vee\qquad x\approx152^o\\\\\\\sin x=0.4684\quad\wedge\quad x\in(0,\ 2\pi)\\\\x\approx0.4887\qquad\qquad\vee\qquad x\approx2.6529$

6 0

2 years ago

Find the sum of the first 50 terms of the sequence below. An = 3n + 2

andrezito [222]

An+1= 3n+3 +2
An+1 - An = 3n+5 -3n-2=3
An is aa arithmetic sequence
its sum is given by:
A0 +A1 +A2 + . . . + An = N(Ao + An) /2
where N = n-0=n
S50= A0 +A1 +A2 + . . . + A50 = 50(Ao + A50) /2

S50 = 50(Ao + A50) /2
Ao=2, A50=150+2=152
S50= 50(Ao + A50) /2

finally
S50=25*154=3850

4 0

3 years ago

Read 2 more answers

How do I do these 4 geometry please help

julsineya [31]

Answer:

7) Similar; 8) not similar; 9) ⅔; 10) ⅘

Step-by-step explanation:

Two polygons are similar if