Answer:
Slope, Angle, & Distance:
Slope: 0.5625
The slope of the line connecting (15, 20) and (-1, 11) is 0.5625
Slope (m): 0.5625
Angle (θ): 29.3578°
Distance: 18.3576
Δx: 16
Δy: 9
Slope Intercept Form:
(y = mx + b)
y = 0.5625x + 11.5625
Step-by-step explanation:
Steps to Find Slope
Start with the slope formula
m=
(y2 - y1)
(x2 - x1)
Substitute point values in the formula
m=
(11 - 20)
(-1 - 15)
Simplify each side of the equation
m=
(11 - 20)
(-1 - 15)
=
-9
-16
Solve for slope (m)
m=0.5625
<h2><em><u>
Brainliest?</u></em></h2>
Answer:
It's 130.66, D
Step-by-step explanation:
:)) yw
Answer:
3
p − 1 < 8
,
2
(
p − 1
) < − 6
, − 1 ≤ 2
p ≤ 3
Step-by-step explanation:
Answer:
<em>(a) The system that models the situation:
and
</em>
<em>(b) David needs 40 pounds of bread flour and 240 pounds of cake flour.</em>
Step-by-step explanation:
The amount of flour mixture is 280 lb. that is 8% plain flour.
So, the amount of plain flour in the mixture will be:
lb.
The number of pounds of bread flour and cake flour needed to make the new mixture are
and
respectively.
<u>So, the first equation will be</u>: 
The bread flour has 14% plain flour and the cake flour has 7% plain flour.
Thus, the amount of plain flour in bread flour
lb. and the amount of plain flour in cake flour
lb.
<u>So, the second equation will be</u>: 
From equation (1), we will get: 
Now substituting this
into equation (2) in place of
........

Plugging this
into equation (1), we will get.....

So, David needs 40 pounds of bread flour and 240 pounds of cake flour.
The complex conjugate of <span>7i</span><span> is </span><span>−7i </span>The complex conjugate of a number
z is a number with opposite imaginary part.
So if <span>z=a+bi</span> then conjugate is: <span><span>¯z</span>=a−bi</span> for any <span>a,b∈R</span>
We can note, that if we represent all complex numbers in coordinate system, then for any number: the number z and its conjugate <span>¯z</span> are symetrical according to "real part" axis.