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AleksandrR [38]
1 year ago
14

8(5021)(3054)+(-8)(-5021)(-3054)+3

Mathematics
2 answers:
kifflom [539]1 year ago
5 0

Answer:

3

Step-by-step explanation:

first two terms cancel eachother out!

mina [271]1 year ago
3 0

Answer:

Step-by-step explanation:

8(5021)(3054) + (-8)(-5021)(-3054) + 3 = 8(5021)(3054) - (8)(5021)(3054)+3

                                                              = 0 + 3

                                                              = 3

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On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R On a coordinate plane, a line goes thr
Nitella [24]

Answer:

x + 2y = 8.

Step-by-step explanation:

Line goes through (-4, 0) and (4, -4).

The slope is (-4 - 0) / (4 - -4) = -4 / (4 + 4) = -4 / 8 = -1/2.

Since we are looking for the equation of the line parallel to that line, the slope will be the same.

We have an equation of y = -1/2x + b. We have a point at (2, 3). We can then say that y = 3 when x = 2.

3 = (-1/2) * 2 + b

b - 1 = 3

b = 4.

So, we have y = -1/2x + 4.

1/2x + y = 4

x + 2y = 8.

Hope this helps!

8 0
2 years ago
Read 2 more answers
James is four years younger than Austin. If three times James' age is increased by the square of Austin's age, the result is 28.
lara31 [8.8K]
Let's use J for James's age and A for Austin's age. The equations are:

J = A - 4
3J + A² = 28

Just plug (A - 4) in the place of J in the second equation. This gives you:

3(A - 4) + A² = 28
-->
A² + 3A - 12 = 28
--> 
A² + 3A - 40 = 0
--> 
(A - 5)(A + 8) = 0
-->
A = 5 or -8

-8 is nonsense, so Austin is 5 years old. Therefore, James is 1 year old.
7 0
1 year ago
Mandy begins cycling west at 30 miles per hour at 11a.M. If Liz leaves from same point 20 minutes later bicycling west at 36 mph
RoseWind [281]

The answer is 1:00 PM


8 0
1 year ago
In 2004, a magazine's circulation was about 1,000,000 readers. In 2014, the magazine had about 2,000,000 readers. Write a linear
professor190 [17]

Answer:

r(t)=100,000t+600,000

Step-by-step explanation:

Let

r ----> the number of readers (y-coordinate or dependent variable)

t ----> the number of years after 2000 (x-coordinate or independent variable)

Remember

2004 ----> represent t=4 years

2014 ----> represent t=14 years

we have the ordered pairs

(4,1,000,000) and (14,2,000,000)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{2,000,000-1,000,000}{14-4}

m=\frac{1,000,000}{10}

m=100,000\frac{readers}{year}

step 2

Find the equation of the line in point slope form

r-r1=m(t-t1)

we have

m=100,000\\point\ (4,1,000,000)

substitute

r-1,000,000=100,000(t-4)

step 3

Convert to slope intercept form

r=mt+b

isolate the variable r

r-1,000,000=100,000t-400,000\\r=100,000t-400,000+1,000,000\\r=100,000t+600,000

step 4

Convert to function notation

r(t)=100,000t+600,000

6 0
1 year ago
If r is the midpoint of qs rs=2x-4, st= 4x-1 and rt = 8x-43 find qs
sammy [17]

Answer:

QS=68\ units

Step-by-step explanation:

step 1

Find the value of x

we know that

r is the midpoint of qs

so

QR=RS

QS=QR+RS------> QS=2RS -----> equation A

RT=RS+ST ----> equation B

see the attached figure to better understand the problem

Substitute the given values in the equation B and solve for x

8x-43=(2x-4)+(4x-1)

8x-43=6x-5

8x-6x=43-5

2x=38

x=19

step 2

Find the value of RS

RS=2x-4

substitute the value of x

RS=2(19)-4

RS=34\ units

step 3

Find the value of QS

Remember equation A

QS=2RS

so

QS=2(34)=68\ units

6 0
2 years ago
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