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3 years ago

4x CD

Mathematics

1 answer:

Naddik [55]3 years ago

5 0

Answer:

N = (7/2)t +20

Step-by-step explanation:

In terms of years since 2010, the two given points are ...

(t, N) = (4, 34) and (6, 41)

Using the 2-point form of the equation for a line, we get ...

N = (n2 -n1)/(t2 -t1)(t -t1) +n1

N = (41 -34)/(6 -4)(t -6) +34 . . . . filling in the given points

N = 7/2(t -4) +34 . . . . simplifying a bit

N = (7/2)t +20 . . . your linear model

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Answer:

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3 years ago

What are the sine and cosine ratios for a 30°–60°–90° triangle with a hypotenuse of 6, when θ = 60°?

Margaret [11]

Answer:

There are two ways to do this problem algebraically or trigonometrically.

Algebraically/geometrically

The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.

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Using Trig.

We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).

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2 years ago

Y=-x+7

Allisa [31]

Question 1:
y=-x+7
y=2x-2

(-x+7)=2x-2
-x+7+x=2x-2+x
7=2x-2+x
7+2=2x-2+x+2
9=3x
9/3=3x/3
3=x

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Question 2:
y-1=2x
y+2x=5

y-1=2x
y-1+1=2x+1
y=2x

(2x+1)+2x=5
2x+1+2x=5
4x+1=5
4x+1-1=5-1
4x=4
4x/4=4/4
x=1

y-1=2(1)
y-1+1=2+1
y=3

Answer: x=1 y=3

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3 years ago

Write 4x + y = 1 as a slope intercept form

Rainbow [258]

Y=4x−1
Explanation:
The equation of a line in
slope-intercept form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
m
x
+
b
2
2
∣
∣
∣
−−−−−−−−−−−−−−−

where m represents the slope and b, the y-intercept.
Rearrange
4
x
−
y
=
1
into this form
subtract 4x from both sides.
4
x
−
4
x
−
y
=
−
4
x
+
1
⇒
−
y
=
−
4
x
+
1
multiply through by -1
⇒
y
=
4
x
−
1
←
in slope-intercept form

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