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frozen [14]
3 years ago
5

-3x-2y=-1 4x+6y=12 what’s all the steps and answer to this equation

Mathematics
1 answer:
abruzzese [7]3 years ago
6 0

Answer:

x = -9/5

y = 16/5

Step-by-step explanation:

-3x-2y=-1            first you need to multiply the numerator by 3 so when adding

4x+6y=12           the y's cancel and you get a single variable

3(-3x-2y=-1)     —>  -9x - 6y = -3     then you add the like terms

 4x+6y=12      —>   4x + 6y = 12

(-9x+4x) + (6y - 6y) = (-3 + 12)

-5x = 9  then you divide by -5

x = -9/5

then you plug this in to either equation

4(-9/5) + 6y = 12

-36/5 + 6y = 12   then you add 36/5 to both sides

6y = 96/5  then you divide by 6

y = 16/5

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Write an equation in slope-intercept form of the line that passes through (−5, 19) and (5, 13)
kotykmax [81]
13-19/5+5=-6/10=-3/5
6 0
3 years ago
A satellite is 19,000 miles from the horizon of Earth. Earth’s radius is about 4,000 miles. Find the approximate distance the sa
Jobisdone [24]

Answer:

The approximate distance is 15416 miles....

Step-by-step explanation:

We have given:

A satellite is 19,000 miles from the horizon of earth.

The radius is 4,000 miles.

Lets say that BC =x

AO = OB = 4,000 miles

AC = 19,000 miles

The tangent from the external point forms right angle with the radius of the circle.

So in ΔABC

(OC)² = (AC)²+(OA)²

where OC = x+4000

AC = 19,000

OA = 4000

Therefore,

(x+4000)² = (19,000)² +(4,000)²

Take square root at both sides:

√(x+4000)²  = √(19,000)² +(4,000)²

x+4000  =√361000000+16000000

x+4000 = √377000000

x+4000 = 19416.48

x= 19416.48 - 4000

x = 15416.48

Therefore the approximate distance is 15416 miles....

6 0
3 years ago
The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches.
umka2103 [35]
From the given description it seems that the small shaded circle lies within the larger circle as shown in image below:

The probability that a point choosen at random lies within the shaded area = Area of shaded region / Total area of the bigger cricle

So,
Probability = 78.5/314 = 0.25

Thus there is 0.25 or 25% probability that the point chosen at random will lie inside the shaded region. 

6 0
3 years ago
Read 2 more answers
What's 4+ -1 1/3 as a fraction in simplest form
Ivenika [448]
4 + -1 1/3 

Turn 4 into an improper fraction.

4/4 is equal to 12/3. We want both 4 and 1 1/3 to have the same denominator so that they could be subtracted from each other.

New question :

12/3 + - 1 1/3

Turn {-1 1/3} into an improper fraction.

(3 × 1) + 1  = 4/3

So, -1 1/3 = -4/3

Our new question :

12/3 + - 4/3

Simplify.

12/3 - 4/3 = 8/3

Turn into a mixed number.

2 2/3

~Hope I helped!~


7 0
3 years ago
An energy drink manufacturer wants to find out the effect of different amounts of their product on the maximum anaerobic power l
Licemer1 [7]

Answer:

An experimental study

Step-by-step explanation:

An experimental study should be used. This will enable the energy  drink manufacturer to have an experimental group and control group. Using experimental study, the effect of independent variables on the dependent variables can be determined with the amount of the drink consumed as the controlled factor.

5 0
3 years ago
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