To find the slope of the line we can use the following formula:
1 - (-3)/5 - 1
4 / 4
1
<h3>The slope of the line is equal to 1.</h3>
To find the equation, we can just use slope-intercept form.
We already know the slope, so our current equation is y = x
By knowing the slope, we can apply the slope to our lowest pair of coordinates to find the y value when x = 0.
Subtract 1 from the x and y values of (1, -3)
(0, -4) is our new point, and so we know the y-intercept is -4.
<h3>Our equation for the line is y = x - 4</h3>
Answer:
Is
Step-by-step explanation:
Is there more information?
Answer:
3, 12, 27 and 300
Step-by-step explanation:
Plug n as 1, 2, 3 and 10.
3(1)² = 3
3(2)² = 12
3(3)² = 27
3(10)² = 300
<span>To complete
the steps to demonstrate why you multiply by the reciprocal when
dividing fractions.
To find
Step 1:
Rewrite it as
.
Step
2:
Multiply the numerator and the denominator by the reciprocal of
.</span><span>
</span><span>
Step
3:
Simplify the denominator
Step
4:
Simplify the fraction
</span><span>
.
We complete the solution as follows:
</span><span><span>
</span></span>
Notice that
(1 + <em>x</em>)(1 + <em>y</em>) = 1 + <em>x</em> + <em>y</em> + <em>x y</em>
So we can add 1 to both sides of both equations, and we use the property above to get
<em>a</em> + <em>b</em> + <em>a b</em> = 76 ==> (1 + <em>a</em>)(1 + <em>b</em>) = 77
and
<em>c</em> + <em>d</em> + <em>c d</em> = 54 ==> (1 + <em>c</em>)(1 + <em>d</em>) = 55
Now, 77 = 7*11 and 55 = 5*11, so we get
<em>a</em> + 1 = 7 ==> <em>a</em> = 6
<em>b</em> + 1 = 11 ==> <em>b</em> = 10
(or the other way around, since the given relations are symmetric)
and
<em>c</em> + 1 = 5 ==> <em>c</em> = 4
<em>d</em> + 1 = 11 ==> <em>d</em> = 10
Now substitute these values into the desired quantity:
(<em>a</em> + <em>b</em> + <em>c</em> + <em>d</em>) <em>a</em> <em>b</em> <em>c</em> <em>d</em> = 72,000
