Answer:
y= ½x +5
Step-by-step explanation:
<u>Slope- </u><u>intercept </u><u>form</u><u>:</u>
y= mx +c, where m is the slope and c is the y- intercept
Given that the slope is ½, substitute m= ½ into the equation.
y= ½x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -2, y= 4,
4= ½(-2) +c
4= -1 +c
c= 4 +1
c= 5
Hence, the equation of the line is y= ½x +5.
Let's solve your equation step-by-step.<span><span><span>
2/3</span><span>(<span><span>3x</span>+1</span>)</span></span>=5</span>
Step 1: Simplify both sides of the equation.<span><span><span>
2/3</span><span>(<span><span>3x</span>+1</span>)</span></span>=5</span><span>
Simplify: (Show steps)</span><span><span><span>
2x</span>+<span>2/3</span></span>=5</span>
Step 2: Subtract 2/3 from both sides.<span><span><span><span>
2x</span>+<span>2/3</span></span>−<span>2/3</span></span>=<span>5−<span>2/3</span></span></span><span><span>
2x</span>=<span>13/3</span></span>
Step 3: Divide both sides by 2.<span><span><span>
2x/</span>2</span>=<span><span>13/3/</span>2</span></span><span>
x=<span>13/6</span></span>
Answer:<span>
x=<span>13/<span>6</span></span></span>
Answer:
QG = 55.759 ft
QG = 60ft (To the nearest 10th)
Step-by-step explanation:
From the figure, the angles of two sides of the triangle are given.
This makes it pretty easier to solve..
Let's go!
To solve for the length QG, we must first resolve it's corresponding angle using the sine formula.
Okay now!
The sum of angles of a triangle add up to 180°.
Therefore:
Angles QGT° + GQT° + GTQ° = 180°
41° + 67° + GTQ° = 180°
108 ° + GTQ° = 180°
GTQ° = 180° - 108°
GTQ° = 72°
Since we've been able to get that missing angle, we can proceed to solve for the length of QG using the sine formula.
Sin 67° / 54ft = sin 72° / QG
Lets Cross Multiply
QG sin 67° = 54ft sin 72 °
QG * 0.921 = 54ft * 0.951
QG * 0.921 = 51.354
QG = 51.354 / 0.921
QG = 55.759 ft
QG = 60ft (To the nearest 10th)
Answer:
line DC
Step-by-step explanation:
Hello,
2 different points define a line, right?
so you can exclude the two first answers as they involve 1 and 3 points.
There is no point M, right? you can get rid of the third answer.
There are the two points D and C which defines the line DC which is m
thanks
