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3 years ago

Give the next term or figure in the following pattern 2,8,14

Mathematics

1 answer:

rosijanka [135]3 years ago

3 0

Twenty, twenty six, thirty two, etc.

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A bag contains 6 blue, 10 green, and 8 red marbles. What

Evgesh-ka [11]

Answer:

1/4, 3/4

Step-by-step explanation:

First let's find how many marbles there are in total

6+10+8=24 marbles

Now we find the probability of drawing a blue marble

6/24=1/4 (There are 6 blue marbles)

The compliment is 3/4

4 0

2 years ago

A large nest of recently hatched bald eagles is located at the top of the Eiffel Tower (which is 324 meters tall) and is attract

Mariulka [41]

9514 1404 393

Answer:

80.5°

Step-by-step explanation:

The applicable trig function is the tangent.

Tan = Opposite/Adjacent

In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...

tan(α) = 324/54

The value of the angle with this tangent is found using the arctangent function:

α = arctan(324/54) ≈ 80.5°

She should set her binoculars to 80.5°.

6 0

2 years ago

PLEASE HELP FAST 100 EASY POINTS WILL MARK BRAINLEST!!!

spin [16.1K]

Answer:

$y=-1x+8 \\or\\y=-x+8$

Step-by-step explanation:

Okay so we know that line on the triangle DEF that's parallel to the line BC is EF. This because they have the same slope and we can prove that while solving for slope-intercept form.

First we figure out our points for both the lines:

BC: $B=(-2,4) \\C=(1,1)$

EF: $E=(4,4)\\F=(6,2)$

Now that we have our points we can use the slope formula to prove these two line have the same slope and are therefore parallel to eachother:

$\frac{y_1-y_2}{x_1-x_2}$ = Slope Formula

BC = $\frac{4-1}{-2-1} =\frac{3}{-3} =\frac{-3}{3} =-1$

EF = $\frac{4-2}{4-6} =\frac{2}{-2}=\frac{-2}{2}= -1$

So now we proved that both of these lines have a slope of -1. Then we can use the slope intercept formula and one of the points from the line EF to find the y-intercept of the of line EF:

Let's use point = $(4,4)$

$y=4,m=-1,x=4,b=?$

$y=mx+b\\4=-1(4)+b\\4=-4+b\\(+4) 4=-4+b(+4)\\8=b$

We used the formula and found that the y-intercept was $(0,8)$ , so now we plug in all of our answers:

$y=-1x+8$

This is the complete answer but if you wanted to simplify it more you could write it as $y=-x+8$ , cause as long as you make the x negative in the equation it will always be as if you multiplied it by -1.