Answer:
Step-by-step explanation:
Answer:
x=10/3 y=17/3
Step-by-step explanation:
Use substitution to solve your equation. Plug in y=2x-1 into y=1/2x+4. This makes (2x-1)=1/2x+4. Simplify this to get 3/2x-1=4. Simplify it again to get 3/2x=5. No one likes fractions so multiply both sides by 2 to get 3x=10. Simplify this and get x=10/3. Plus 10/3 into one of the equations. You can pick anyone but I picked y=2x-1. Because you know x=10/3, you put y=2(10/3)-1. Simplify this and get y=20/3-1. Convert 1 into a fraction and get y=20/3-3/3. Simplify this and get y=17/3.
Therefore,
x=10/3 y=17/3
Hoped this helps you
Answer:
<h2>The slope m = -2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
We have the equation in the standard form:
Convert to the slope intercept form:
<em>subtract 6x from both sides</em>
<em>divide both sides by 3</em>
slope: <em>m = -2</em>
y-intercept: <em>b = 4</em>
Answer:
13.9 in
Step-by-step explanation:
Use the Pythagorean Theorem to answer this. Folding the paper along its diagonal produces two triangles; each one has shorter side 8.5 in and longer side 11 in. According to the Pyth. Thm., (8.5)^2 + 11^2 = 193.25, which results in the diagonal length √193.25, or approx. 13.9 in.
