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erastovalidia [21]
2 years ago
12

PLS HELP ME ASAP FOR ALL 6!! (MUST SHOW WORK!!!) +LOTS LOTS OF POINTS!!!

Mathematics
2 answers:
Sedaia [141]2 years ago
5 0
1. -4a-6=-12
add 6 to both sides
-4a-6+6=-12+6
-4a=-6
Divide by -4
a= \frac{6}{4} = 1 \frac{1}{2}

2. \frac{3}{5} z- \frac{1}{4} = \frac{17}{20}
add \frac{1}{4} to both sides but you will need to make a common denominator on the right
\frac{3}{5} z- \frac{1}{4} + \frac{1}{4} =  \frac{17}{20} +  \frac{5}{20}
\frac{3}{5}z=  \frac{11}{10}
Divide by \frac{3}{5} which means multiply by the <span>reciprocal</span>.
\frac{3}{5}* \frac{5}{3} z= \frac{11}{10} * \frac{5}{3}
z= \frac{55}{30} =1 \frac{5}{6}

3. 2 \frac{1}{2}(e-1 \frac{3}{4})=5 \frac{1}{2}
Distribute 
2 \frac{1}{2} e-4 \frac{3}{8} =5 \frac{1}{2}
Subtract
2 \frac{1}{2} e=1 \frac{1}{8}
Divide
e= \frac{9}{20}

4. 3w+7=20
Subtract
3w=13
Divide
w= \frac{13}{3} = 4 \frac{1}{3}

5. -.2p+.4=-1.2
Subtract
-.2p=-1.6
Divide
p=8

6. \frac{y}{4} - \frac{3}{5} = \frac{18}{20}
Add, made sure you change to common denominator first
\frac{y}{4} = 1 \frac{1}{4}
Multiply by 4
y=5

Hope that helps

bogdanovich [222]2 years ago
4 0

Morgaine816 is completely right mark them brainliest wow thats a lot of work 0-0

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ikadub [295]

Answer:

  1. 168.25 ft
  2. 3.125 s

Step-by-step explanation:

It is almost too easy to let a graphing calculator show you the solution. (See attached)

_____

You may be expected to use some actual algebra (or even calculus) to find the solution.

If you've spent any time with quadratics, you know the vertex of ax²+bx+c is located at x=-b/(2a). Here, that means the time to get to the highest point is ...

... t = -100/(2·(-16)) = 100/32 = 3.125 . . . . seconds

Then the highest point is ...

... h(3.125) = -16·3.125² +100·3.125 +12 = 168.25 . . . . feet

_____

Or, you can put the equation into vertex form.

... h(t) = -16t² +100t +12

... = -16(t² +6.25t) +12

... = -16(t² +6.25t +3.125²) +12 +16·3.125² . . . . . add the square of half the t coefficient inside parentheses; add the opposite of the same amount outside parentheses

... = -16(t +3.125)² +168.25 . . . . . simplify

This tells us the peak of the travel of the bullet is at 168.25 ft after 3.125 seconds.

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3 years ago
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