First of all, remember what the equation of a line is:
<span>y = mx+b
</span>First, let's find what <span>m:
m = 1-(-3) / 2-(-1)
m = 4/3
</span>
so: y = 4/3x + b
Now, what about b, or the y-intercept?
<span>To find b, think about what your (x,y) points mean:
<span><span>(-1,-3).
When x of the line is -1, y of the line must be -3.
</span><span>(2,1).
When x of the line is 2, y of the line must be 1.
</span></span>
Now, look at our line's equation so far: <span>y=4/3x+b</span>.
You can plug either (x,y) point you want into the x and y variables..the answer will be the same:
<span><span>(-1,-3)
-3=4/3 × -1+b,
b=-3-(4/3)(-1)
b=-5/3</span><span>
(2,1)
1=4/3 × 2+b
b=1-(4/3)(2).
b=-5/3.</span></span>In both cases we got the same value for b.
</span>
So we have
y = 4/3x -(5/3).
In standard form it would be:
(4/3)x - y = (5/3)
Answer:
10th term of the sequence 64,16,4... = 1/4096
Step-by-step explanation:
Points to remember
nth term of GP is given by.
Tₙ = ar⁽ⁿ⁻¹⁾
Where r is the common ratio and a is the first term
<u>To find the 10th term of given GP</u>
It is given that,
64, 16, 4,......
a = 64 and 6 = 1/4 Here
T₁₀ = ar⁽ⁿ⁻¹⁾
= 64 * (1/4)⁽¹⁰⁻¹⁾ = 64 * (1/4⁹)
= 4³/4⁹ = 1/4⁶ = 1/4096
Answer:
y = 1/5x + 8
Step-by-step explanation:
slope = (change in y)/(change in x)
Slope = (8 -10)/(0 -10)
Slope = -2/-10
Slope = 1/5
Use y = mx + b substitute m = 1/5 and (0, 8)
8 = 1/5(0) + b
8 = 0 + b
8 = b
The equation of the equation y = 1/5x +8
Apply the product rule to
7
11
7
11
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Raise
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7
to the power of
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49
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(
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49
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Raise
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11
to the power of
2
2
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49
121
(
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49
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Multiply
2
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49
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2
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.
Tap for more steps...
(
2
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98
121
(
2
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98
121
Apply the product rule to
2
7
2
7
.
2
98
121
7
98
121
2
98
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7
98
121
The result can be shown in multiple forms.
Exact Form:
2
98
121
7
98
121
2
98
121
7
98
121
Decimal Form:
0.36253492
…
0.36253492
…
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7
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1
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