Parallel to y = 3/4x - 9 and passes through (-8, -18)
Identify the slope : our slope is 3/4
Remember that parallel equations have the same slope, so both slopes are 3/4
Now, we have to find the y-intercept. Simply plug everything into the slope intercept form equation.
y = mx + b
(-18) = (3/4)(-8) + b
Simplify.
-18 = -6 + b
Add 6 to both sides.
-18 + 6 = b
Therefore, our y-intercept is -12.
Now plug everything into the slope intercept form.
y = mx + b
y = 3/4x - 12
~Hope I helped!~
<u><em>A</em></u> would be correct hope I helped.
Mode = 11
Reason: 11 appeared twice, which is the most frequent number observed in this set of data.
Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.
<h3>What is the Length of an Arc?</h3>
Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
where
θ is the angle, that which arc creates at the centre of the circle in degree.
Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,
The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m
Hence, the length of the arc m∠QPR is 2.8334π m.
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Based on our examination of the y-intercepts, we can deduce that the y-intercept of function f(x) is equivalent to two times the y-intercept of function g. (x)
<h3>What is the examination of the
y-intercept?</h3>
The value of the function at the point where the value of x is equal to zero is known as the y-intercept.
f(x)=-6(1.05)^x
Considering x
x=0
f(0)=-6(1.05)^0
f(0)=-6(1)
f(0)=-6
Therefore, the y-intercept is point (0,-6)
Generally, the equation for the function of the y-intercept of g(x) is mathematically given as
From table
at x=0
The y-intercept is the point (0,-3)
Based on our examination of the y-intercepts, we can deduce that the ty-intercept of function f(x) is equivalent to two times the y-intercept of function g. (x)
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