Answers:
<h3>1. -5</h3><h3>2. 7</h3><h3>3. 1</h3><h3>4. 5</h3>
Step-by-step explanation:
Plug in the x into the equation and solve.
<h3>Value 1: X = 5</h3>
Y = -2(5) + 5
Y = -10 + 5
Y = -5
<h3>Value 2: X = -1</h3>
Y = -2(-1) + 5
Y = 2 + 5
Y = 7
<h3>Value 3: X = 2</h3>
Y = -2(2) + 5
Y = -4 + 5
Y = 1
<h3>Value 4: X = 0</h3>
Y = -2(0) + 5
Y = 0 + 5
Y = 5
I'm always happy to help :)
Answer:y=-2x-1
Step-by-step explanation:
(1,-3) and a slope of -2
Use Formula
Y= mx +b to find b. By using the slope and point given .
M is slope
Y is -3
X Is 1
Y=mx+b
-3= -2(1)+b
-3= -2+b
-3+2=b
-1=b
Now create the equation by inputting the slope they gave you which is -2 and answer we solved for b which is -1 .
Y= -2x-1
By using trigonometric relations, we will see that x = 9.97°.
<h3>
How to find the missing angle?</h3>
First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Where:
- θ = 26°
- Adjacent cathetus = k
- Opposite cathetus = 55ft.
Replacing that we get:
Tan(26°) = 50ft/k
Solving this for k, we get:
k = 55ft/tan(26°) = 112.8 ft
Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:
- angle = x
- opposite cathetus = 55ft
- adjacent cathetus = 112.8ft + 200ft = 312.8ft.
Then we have:
Tan(x) = (55ft/312.8ft)
Using the inverse tangent function in both sides, we get:
x = Atan(55ft/312.8ft) = 9.97°
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
The speed of the current in a river is 6 miles per hour
<em><u>Solution:</u></em>
Given that,
Speed of boat in still water = 20 miles per hour
Time taken = 3 hours
Distance downstream = 78 miles
To find: Speed of current
<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: </u></em>
Speed downstream = (u + v) km/hr
Speed upstream = (u - v) km/hr
<em><u>Therefore, speed downstream is given as:</u></em>
We know that,
Speed downstream = (u + v)
26 = 20 + v
v = 26 - 20
v = 6 miles per hour
Thus speed of the current in a river is 6 miles per hour
Answer:
If Jeff is types 5 pages at 600 words per page, then he types 3,000 words (5 x 600).
So, if Jeff started typing at 8:15 am, he'd finish at 9:30 am.
Step-by-step explanation:
