Let's solve your equation step-by-step.
2(x+4)=−5x+1
Step 1: Simplify both sides of the equation.
2(x+4)=−5x+1
(2)(x)+(2)(4)=−5x+1(Distribute)
2x+8=−5x+1
Step 2: Add 5x to both sides.
2x+8+5x=−5x+1+5x
7x+8=1
Step 3: Subtract 8 from both sides.
7x+8−8=1−8
7x=−7
Step 4: Divide both sides by 7.
7x
7
=
−7
7
x=−1
Answer:
x=−1
The formula that we want to use here is S = D/T.
S = Speed
D = Distance
T = Time
So, we know that S = 550 and T = 3.5, so we can plug them in.
We get 550 = D/3.5
Multiply by 3.5 on each side, and you figure out that the plane has traveled 1925 miles.
Answer:
Felicia is correct
Step-by-step explanation:
There are 180 degrees in a triangle
48.3 + 33.6 = 81.9
subtract 81.9 from 180 to get the measure of the last angle
180 - 81.9= 98.1
meaning Felicia is correct
Using the given information, the width of the river is 505.96 m
<h3>Bearing and Distances</h3>
From the question, we are to determine the width of the river
Consider the given diagram,
Let F be the first position of the biker
S be the second position
and C be the position of the church
First, we will determine the distance covered from F to S
Speed = 160m/min
Time = 4 minutes
Using the formula,
Distance = Speed × Time
Distance covered = 160 × 4
Distance covered = 640 m
That is, /FS/ = 640 m
Now, consider ΔFSC
∠F = 90° - 70° = 20°
∠S = 90° + 56° = 146°
and ∠C = 180° - 20° - 146° = 14°
By the Law of Sines

∴ 

/FC/ = 1479.33 m
Now,
By SOH CAH TOA

NOTE: d is the width of the river
∴ d = /FC/ × cos70°
d = 1479.33 × cos70°
d = 505.96 m
Hence, the width of the river is 505.96 m
Learn more on Bearing and distances here: brainly.com/question/19351991
#SPJ1
Answer:
To solve this one, simply use the equation (600/2.5)=(x/1)
then solve for x. that will give you the speed in kilometers per hour