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bekas [8.4K]
3 years ago
15

–3x + 1 + 10x = x + 4

Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0
-3x+1+10x=x+4
-3x+10x-x=4-1
6x=3
x=3/6=1/2

Answer: x=1/2
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Find the area of the shaded region to the nearest tenth. See picture for full problem. Please and thank you so much!
Anestetic [448]

Answer:

Step-by-step explanation:

Radius =6 ft

Area of circle = πr²

                      = 3.14 * 6 * 6

                      = 113.04 ft²

base = 10.39 ft

height = 6+3 = 9 ft

Area \ of \ triangle = \dfrac{1}{2}*base * height\\\\\\=\dfrac{1}{2}*10.39*9\\

= 46.76 ft²

Area of the shaded region = area of circle - area of triangle

             = 113.04 - 46.76

            = 66.28

             = 66.3 ft²

8 0
2 years ago
The school buses at a middle school each hold 38 students. The school has, b, buses.
mel-nik [20]

Answer:

38bs

Step-by-step explanation:

multiply the number of students that each bus can hold by the no of buses 38s×b=38bs

8 0
3 years ago
Biking at 12 mph, it takes Kristen hour to reach the train station to go to work. Kristen then takes the train to work, and it t
LenKa [72]

Answer:

d = 19 mi

Step-by-step explanation:

Total dist = bike dist + train dist

d = 12(.5) + 20(.5)

d = 6 + 13

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4 0
3 years ago
Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph
Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

y=-\frac{7}{4}x+4

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

y_1=mx+b

And the second one, that is perpedicular to the one above:

y_2=nx+c

The slope of the second one is the negative inverse of the first one:

n=-\frac{1}{m}

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

y-y_1=m(x-x_1)

replace with the coordinates of the point and the slope and calculate:

\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}

Subtract 7 to both sides of the equation to write it in slope-intercept form:

\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}

Now you can graph both lines

8 0
1 year ago
Can 10-12 be solved Answer Fast!!!!!!
zzz [600]

Answer:

10/------   5x+2y=14

11/------   1x+6y=2

12/ -----    9x+6y=12

6 0
2 years ago
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