The slope of AB and the slope of DC based on the information about the coordinate will be -2 and -2 respectively.
<h3>How to illustrate the information?</h3>
From the information given, we are told to use the slope formula along with the coordinates of points A, B, C, and D to find the slope.
The slope of AB based on the information will be:
= (-1 -3)/(-1 --3)
= -4/2
= 2
The slope of DC will be:
= 2-6/(1 --1)
= -4/2
= -2
Therefore, the slope of AB and the slope of DC based on the information about the coordinate will be -2 and -2 respectively.
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The given equations are:
5x - 2y = 88
3x + 4y = 58
Multiplying the 1st equation by 2, we get the new set of equations as:
10x - 4y = 176
3x + 4y = 58
Adding the two equations, we get:
10x - 4y + 3x + 4y = 176 + 58
13x =234
x = 18
Using the value of x in 1st equation, we get:
5(18) - 2y = 88
- 2y = 88 -5(18)
-2y = -2
y = 1
So, the solution of the equation is (18, 1)
Answer:
see below
Step-by-step explanation:
y= 1/2x - 2
To find the x intercept, set y =0 and solve for x
0= 1/2x - 2
Add 2 to each side
2 = 1/2x -2+2
2 = 1/2x
Multiply by 2
2*2 = 1/2x *2
4 =x
The x intercept is 4
Answer:
4
Step-by-step explanation:
Step 1: Subtract 8 from both sides.
17n+8−8=76−8
17n=68
Step 2: Divide both sides by 17.
17n/17
68/17
Answer:4
Answer:
Step-by-step explanation:
We want to write an exponential function that goes through the points (0, 20) and (6, 1280).
The standard exponential function is given by:
The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:
Simplify:
So, our exponential function is now:
Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:
Solve for <em>b</em>. Divide both sides by 20:
Therefore:
![b=\sqrt[6]{64}=2](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B6%5D%7B64%7D%3D2)
Hence, our function is:
