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UNO [17]
3 years ago
13

Find the solution set of the inequality4x - 1<11.​

Mathematics
2 answers:
Nikitich [7]3 years ago
7 0

Answer:

x<3

Step-by-step explanation:

4x-1<11

4x<11+1

4x<12

divide by 4 each side

x<3

sammy [17]3 years ago
6 0

Answer:

3

Step-by-step explanation:

4× - 1<11

Group like terms

4×<11+1

4×<12

4×/4<12/4

x<3

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Match each pair of points to the equation of the line that is parallel to the line passing through the pointsB(5,2) and C(7,-5)Y
a_sh-v [17]

we will select each points and find equation of line

option-A:

points are B(5,2) and C(7,-5)

x1=5,y1=2 , x2=7 , y2=-5

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{-5-2}{7-5}

m=-3.5

we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y-2=-3.5(x-5)

y=\frac{-7}{2}x+\frac{39}{2}...........Answer

option-B:

points are D(11,6) and E(5,9)

x1=11,y1=6 , x2=5 , y2=9

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{9-6}{5-11}

m=-0.5

we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y-6=-0.5(x-11)

y=\frac{-1}{2}x+\frac{23}{2}...........Answer

option-C:

points are F(-7,12) and G(3,-8)

x1=-7,y1=12 , x2=3 , y2=-8

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{-8-12}{3+7}

m=-2

we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y-12=-2(x+7)

y=-2x-2...........Answer

option-D:

points are H(4,4) and I(8,9)

x1=4,y1=4 , x2=8 , y2=9

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{9-4}{8-4}

m=1.25

we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y-4=1.25(x-4)

y=\frac{5}{4}x-1...........Answer

option-E:

points are J(7,2) and K(-9,8)

x1=7,y1=2 , x2=-9 , y2=8

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{8-2}{-9-7}

m=-\frac{3}{8}

we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y-2=\frac{3}{8}(x-7)

y=\frac{3}{8}x-\frac{5}{8}...........Answer

option-F:

points are L(5,-7) and M(4,-12)

x1=5,y1=-7 , x2=4 , y2=-12

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{-12+7}{4-5}

m=5

we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y+7=5(x-5)

y=5x-32...........Answer



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3 years ago
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A circle passes through the point (0,0.5). What it’s radius
belka [17]

Answer: The radius of this circle is 0.5

Step-by-step explanation:

We have a circle that passes through the point (0, 0.5)

We do not know the center of the circle, so we have infinite possible radius to answer this, but let's suppose that the center of the circle is in the point (0, 0)

For a circle centered in the origin, we have the equation:

x^2 + y^2 = r^2

Where r is the radius.

Here we have that x = 0 and y = 0.5

then:

0^2 + (0.5)^2 = r^2

0.5^2 = r^2

r = 0.5

The radius of this circle is 0.5

6 0
3 years ago
Simplify negative 4 over 5 ÷ 3 over negative 2.
aliina [53]

Answer:

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8 0
3 years ago
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Use the point-slope equation to identify the slope and the coordinates of a point
Norma-Jean [14]

Answer:

M=1/2 and 1/4

Step-by-step explanation:

I hope this is what you are asking.

3 0
3 years ago
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What is the value of x?<br> (x + 40)<br> (3x)<br> O 20<br> R<br> O<br> O 35<br> O<br> O<br> ASAP
Natasha2012 [34]

Angles TRS and VRW are vertical angles, so we can set them equal to each other to get x:

x+40=3x

40=2x

20=x

So the value of x is 20

3 0
3 years ago
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