All categories

2 years ago

I don’t even know what i’m doing anymore. aren’t there supposed to be two answers??

Mathematics

1 answer:

Evgen [1.6K]2 years ago

8 0

Answer:

a>4

Step-by-step explanation:

-7a-11<1-4a

ADD 4a to both sides

-3a-11 <1

Add 11 to both sides

-3a <12

Divide both sides by 3

-a <4

Multiply by -1 both sides and FLIP SIGN

a>4

So a should be 5 ,6,7,8.........

On the number line you need to count from zero 4 units to the right (positive 4) Once you are in number 4 draw an open circle which means the 4 is NOT included) Draw a line from 4 to the right because it is bigger than 4.

Interval notation is (4,∞)

[ ] a square bracket when we want to include the number 4

( ) a round bracket when we don't want to include the number 4

You might be interested in

7. A cylindrical tank can hold 2279.64 cubic feet of water. The radius of the tank is 11 feet. What is the height of the tank?

aliina [53]

Answer:

r = 8.12

Step-by-step explanation:

The volume for a cylinder is V=πr^2h therefore,

v = 2279.64

h = 11ft

r = ?

2279.64 = πr^2 * 11

$\frac{2279.64}{11}= {\pi r^2} \\$

207.24 = πr^2

$\frac{207.24}{\pi} =r^2\\\\66 = r^2\\\\\sqrt{66} = r\\\\\\8.12 = r$

3 0

2 years ago

Write an equation in slope-intercept form for the line with slope 8 and y-intercept -8.

Fofino [41]

Answer:

y = 8x - 8

Step-by-step explanation:

y = mx + b is slope-intercept form

m - slope

b - y-intercept

so if you plug in 8 for m and -8 for b you'll get

y = 8(m)x - 8(b)

Hope this helps!!

6 0

2 years ago

AC has endpoints<br> A(3,7) and C(6,11).<br> Find AB if B is the<br> midpoint of AC.

faltersainse [42]

Answer:

d=2.5

Step-by-step explanation:

first find the coordinate of B(mid point of AC):A(3,7) C(6,11)

d=√(6-3)²+(11-7)²

d=√3²+4²

d=√9+16=√25=5

since B is the mid point : d/2=5/2=2.5

<h2>Another way :</h2>

B(x1+x2/2 , y1+y2/2) , x1=3 , x2=6, y1=7, y2=11

B(9/2,18/2)

B(9/2,9)

Find AB : the length or distance between 2 points:

d=√(x2-x1)²+(y2-y1)²

d=√(3-9/2)²+(7-9)²

d=√(-3/2)²+(-2)²

d=√1.5²+4

d=√6.25

d=2.5

8 0

3 years ago

If 2n = 6 then what does n 2 squared equal?

Tema [17]

3 is n and that is the answer

6 0

2 years ago

Read 2 more answers

Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m= 1/2?

Taya2010 [7]

Incomplete Question the complete Qs is

Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m = 1/2?

a: y=1/2x+2

b: y=-2x+1/2

c: x-2y=-4

d: y-1=1/2(x+2)

Answer:

The Correct option is c. x-2y=-4

Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is

$x-2y=-4$

Step-by-step explanation:

Given:

$Slope = m =\dfrac{1}{2}$

point A(x₁, y₁)=(-2,1)

To Find:

Equation of Line =?

Solution:

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,

i.e equation in point - slope form

$(y-y_{1})=m(x-x_{1})$

Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2 , 1) we get

$(y-1)=\dfrac{1}{2}(x-(-2))\\\\2y-2=x+2\\x-2y=-2-2=-4\\x-2y=-4$ As required

Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is

$x-2y=-4$

6 0

2 years ago