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3 years ago

What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?

Mathematics

2 answers:

Lena [83]3 years ago

6 0

4(x - 3) + 4 < 10 + 6x
4x - 12 + 4 < 10 + 6x
4x - 8 < 10 + 6x
-2x < 18
x > 9

Answer: x > 9

frez [133]3 years ago

3 0

Hello!

You can solve this algebraically

4(x - 3) + 4 < 10 + 6x

Distribute the 4

4x - 12 + 4 < 10 + 6x

Combine like terms

4x - 8 < 10 + 6x

Subtract 4x from both sides

-8 < 10 + 2x

Subtract 10 from both sides

-18 < 2x

Divide both sides by 2

-9 < x

The answer is x > -9

Hope this helps!

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Find the midpoint of side EF. (4 points)

umka2103 [35]

Answer:

Midpoint of side EF would be (-.5,4.5)

Step-by-step explanation:

We know that the coordinates of a mid-point C(e,f) of a line segment AB with vertices A(a,b) and B(c,d) is given by:

e=a+c/2,f=b+d/2

Here we have to find the mid-point of side EF.

E(-2,3) i.e. (a,b)=(2,3)

and F(1,6) i.e. (c,d)=(1,6)

Hence, the coordinate of midpoint of EF is:

e=-2+1/2, f=3+6/2

e=-1/2, f=9/2

e=.5, f=4.5

SO, the mid-point would be (-0.5,4.5)

3 0

2 years ago

A track has the shapes shown. what is the perimeter ?

USPshnik [31]

Break this problem down first. You have two lines each with length of 5. You also have two halves of a circle, combine them to get a full circle with a radius of 2. The formula to find the perimeter of a circle is
$2\pi \times r$
and this gives a perimeter of 12.566 for the circle. Add this to your sides and you get a total of 22.566 which is answer B

4 0

3 years ago

The length of a rctangle is to more than the

hram777 [196]

Answer:

19 m

Step-by-step explanation:

The width is 2 less than the length, so the perimeter is ...

P = 2(L +W)

72 = 2(L +(L -2))

76 = 4L . . . . . . . . add 4

19 = L

The length of the rectangle is 19 meters.

7 0

3 years ago

Need the answers to these questions please

Katena32 [7]

Answer:

a) $p = 88\,cm$ , b) $p = 24\,cm$ , c) $p \approx 25.424\,m$ , d) $p \approx 39.368\,cm$

Step-by-step explanation:

a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:

$p = 3\times 8\,cm + 2\times 4\,cm +2\times 20\,cm + 16\,cm$

$p = 88\,cm$

b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:

$p = 2\times 4\,cm + 2\times 6\,cm + 4\,cm$

$p = 24\,cm$

c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:

$p = \frac{\pi}{2}\times 6\,cm + 8\,cm + 6\,cm + 2\,cm$

$p \approx 25.424\,m$

d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:

$p = 10\,cm + 12\,cm + 12\,cm + 12\,cm - \sqrt{(12\,cm)^{2}-(10\,cm)^{2}}$

$p \approx 39.368\,cm$

5 0

3 years ago

I need to find the points for a graph asap by finding the asymptote!!!

Korvikt [17]

Answer:

y=0

Step-by-step explanation:

Exponential functions, always have a horizontal asymptote. A function of the form f(x) = a (b^x) + c always has a horizontal asymptote at y = c. In this case the function is

$y=3^{x+2} \\\\We\ can\ rewrite\ it\ like\\\\\y=3^x.3^2\\y=9(3^x)$

so it doesn't have a +c which means the horizontal asymptote is y = c = 0

y = 0 is the horizontal asymptote

8 0

2 years ago