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Wittaler [7]
3 years ago
12

Which equation is equivalent to 4(2x-3)-3(x-4)+7x=6

Mathematics
1 answer:
laila [671]3 years ago
6 0

Answer:

x=1/2

Step-by-step explanation:

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Help anyone can help me do the question,I will mark brainlest.​
Marrrta [24]

Part (a)

The radius is r = 42 because OA = 42.

The circumference, aka distance around the circle, is

C = 2*pi*r

C = 2*(22/7)*42

C = 264

We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.

So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150

<h3>Answer:  150 degrees</h3>

==============================================================

Part (b)

Compute the area of the full circle

A = pi*r^2

A = (22/7)*(42)^2

A = 5544

Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)

(5/12)*(5544) = 2310

<h3>Answer:  2310 square mm</h3>

==============================================================

Side note: Both answers are approximate because pi = 22/7 is approximate.

5 0
3 years ago
3 + x &lt; 7 possible sloution for this
krok68 [10]

Answer: x<4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

x+3<7

Step 2: Subtract 3 from both sides.

x+3−3<7−3

x<4

8 0
3 years ago
What are the 2 factors that affect the force of friction (URGENT PLEASE ANSWER QUICK!!!)
Archy [21]

Answer:

Frictional force on an object in a fluid depends on its speed with respect to fluid and on the shape of the object and nature of the fluid.

Step-by-step explanation:

5 0
3 years ago
Find the equation of a parabola that has a vertex of (-2,-3) and contains the point (4,1)
sweet [91]
\bf ~~~~~~\textit{parabola vertex form}&#10;\\\\&#10;\begin{array}{llll}&#10;\boxed{y=a(x- h)^2+ k}\\\\&#10;x=a(y- k)^2+ h&#10;\end{array}&#10;\qquad\qquad&#10;vertex~~(\stackrel{-2}{ h},\stackrel{-3}{ k})\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;h=-2\\&#10;k=-3&#10;\end{cases}\implies y=a[x-(-2)]^2-3\implies y=a(x+2)^2-3&#10;\\\\\\&#10;\textit{we also know that }&#10;\begin{cases}&#10;x=4\\&#10;y=1&#10;\end{cases}\implies 1=a(4+2)^2-3&#10;\\\\\\&#10;4=36a\implies \cfrac{4}{36}=a\implies \cfrac{1}{9}=a&#10;\\\\\\&#10;therefore\qquad \boxed{y=\cfrac{1}{9}(x+2)^2-3}
 
\bf y=\cfrac{1}{9}(x+2)^2-3\implies y=\cfrac{1}{9}(x^2+4x+4)-3&#10;\\\\\\&#10;y=\cfrac{1}{9}x^2+\cfrac{4}{9}x+\cfrac{4}{9}-3\implies \stackrel{standard~form}{y=\cfrac{1}{9}x^2+\cfrac{4}{9}x-\cfrac{23}{9}}
5 0
4 years ago
Help will mark brainliest and give points
Elodia [21]

Answer:

I will gladly assist you with your problem! (see explanation)

Step-by-step explanation:

Suppose that the tower's height is t and that the necessary distance is x.

To determine the value of t, use comparable triangle ratios:

t / 10 = (9 + 3) / 3t / 10 = 4t = 40 feet

Use Pythagorean Theorem  to find the value of x:  

x^{2} =40^{2} +(9+3)^{2} \\x^{2} =1600+144\\x^2=1744\\x=\sqrt{1744} \\x= 42 feet(answer is rounded)

(I hope this helps solve your problem )

5 0
1 year ago
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