Answer:
I got x = 1
Step-by-step explanation:
First to isolate the variable you add 3 to both sides which will give you 1/2x is less than or equal to 2. Then divide both sides by 1/2 and you will get x = 1. To check the answer I just did:
And since -2.5 is less than -1 this statement is true. x does in fact equal 1
Mixed fraction:
3 2/5 = 17/5
4 4/5 = 24/5
Miles she ran:
17/5 + 24/5
= 41/5 miles or 8.2 miles
Answer:
I believe it is 1.) SAS (angle side angle) 2.) SSA (side side angle), but can not be proven as a postulate, so not enough information, 3.) SAS (side angle side) 4.) SSS (side side side)
Step-by-step explanation:
Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)
Step-by-step explanation:
Focus: F=(3,1)=(xf, yf)→xf=3, yf=1
Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,5) and (3,1):
h=(3+3)/2→h=6/2→h=3
k=(5+1)/2→k=6/2→k=3
Vertex: V=(h,k)→V=(3,3)
p=yf-k→p=1-3→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3
f(x)=[ 1 / (-8) ] (x-3)^2 + 3
f(x)= - (1/8) (x-3)^2 + 3
Hi!
<h3>Use the distribution property</h3>
1.4t — 0.4 * t - 0.4 * —3.1 = 5.8
1.4t — 0.4t - 1.24 = 5.8
<h3>Simplify</h3>
1t - 1.24 = 5.8
<h3>Add 1.24 to both sides</h3>
1t - 1.24 + 1.24 = 5.8 + 1.24
1t = 7.04
<u>t = 7.04</u>
<h2>The answer is t = 7.04</h2>
Hope this helps! :)
-Peredhel
