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kakasveta [241]
3 years ago
11

ASAP please please please

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0
Well, i think answer is A
Slope is definitely related to changes
and it is a line, not a figure
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Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does
Reil [10]
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)

4x+3y=12

3y=-4x+12

y=-4x/3+12/3

So a line perpendicular to the bank will be:

y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

-1/4=b so the perpendicular line is:

y=3x/4-1/4

So now we want to know the point where this perpendicular line meets with the river bank.  When it does y=y so we can say:

(3x-1)/4=(-4x+12)/3  cross multiply

3(3x-1)=4(-4x+12)

9x-3=-16x+48

25x=51

x=51/25

x=2.04

y=(3x-1)/4

y=(3*2.04-1)/4

y=1.28

So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(7-2.04)^2+(5-1.28)^2

d^2=38.44

d=√38.44

d=6.2 units

Since he can run at 10 uph...

t=d/v

t=6.2/10

t=0.62 hours  (37 min 12 sec)

So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.




8 0
3 years ago
Your Numbers are; 25, 75, 50, 1, 9, 3 and your Target is 386 How do i get to 386 using only these numbers once and I can use Sub
GuDViN [60]

Answer:

You must order the operations  in the way that it unfolds in the explanation;:

Step-by-step explanation:

(25 x 9) +75 + 50+ 9 x ( 3 + 1)

When performing the operations we have the following results:

(25 x 9) =225 +75= 300+50 = 350+9 = 359 x (3+1 )

Now we must solve the following: 359 x (4) = 386

8 0
3 years ago
On the following number line, two rational numbers are graphed.Represent the two numbers as fractions (or mixed numbers) in lowe
nordsb [41]
The first graphed rational number is at the middle of -2 and -1, thus the number represented is -1 \frac{1}{2}

The second graphed number is five out of six places from from 0 to 1, thus the number graphed is 0+ \frac{5}{6} = \frac{5}{6}

The difference between the two numbers can be represented as
-1 \frac{1}{2} - \frac{5}{6}
or
\frac{5}{6} -(-1 \frac{1}{2} )= \frac{5}{6} +1 \frac{1}{2}

To find the difference,

-1 \frac{1}{2} - \frac{5}{6} \\ \\ =-1 \frac{3+5}{6}  \\  \\ =-1 \frac{8}{6} =-2 \frac{2}{6}  \\  \\ =-2 \frac{1}{3}

Also,

\frac{5}{6} +1 \frac{1}{2} \\  \\ =1 \frac{5+3}{6}  \\  \\ =1 \frac{8}{6} =2 \frac{2}{6}  \\  \\ =2 \frac{1}{6}
4 0
4 years ago
How much is 5/9 of -3/5?<br><br> A) 1/2<br> B) -1/3<br> C) 1/7<br> D) -25/27
irina1246 [14]
The answer is A 1/2 sorry if I’m wrong if not A its c
5 0
3 years ago
Read 2 more answers
(30 Points) Simplify Each Expression And Show Steps/Work
Nutka1998 [239]

1) (2i-4)-(6i+9) = 2i-4-6i-9 = -4i-13

2) (-3+8i)+(3-8i) = -3+8i+3-8i = 0+0i = 0

8 0
3 years ago
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