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notsponge [240]
3 years ago
7

The sum of two numbers is 12. the difference of the same two numbers is -4 . find the two numbers

Mathematics
1 answer:
gtnhenbr [62]3 years ago
5 0

Answer:

(4,8)

x=4

y=8

Step-by-step explanation:

x is the first number

y is the second number

x+y=12

x-y= -4

Let's add y and 4 to the second equation to get y by itself

x+4=y

We can substitute this value in for y in the first equation

x+x+4=12

2x=8

x=4

We can then use x=4 and plug that into any equation

4+y=12

y=8

The answer is (4,8)

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Complete the point-slope equation of the line through (1, 3) and (5, 1). Use exact numbers.​
SpyIntel [72]

Answer:

The \ equation \ in \ point \ and \ slope \ form \ is; \ y - 3 = -\dfrac{1}{2} \cdot (x - 1)

Step-by-step explanation:

The coordinates of the points through which the line passes are (1, 3) and (5, 1)

The slope, m, of a line given the coordinates of two known points on the line, (x₁, y₁), (x₂, y₂) can be found as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

The slope of the given line is therefore m =\dfrac{1-3}{5-1} = \dfrac{-2}{4} = -\dfrac{1}{2}

The equation of the line in point and slope form is therefore, y - y₁ = m·(x - x₁) or y - y₂ = m·(x - x₂)

Therefore, by substituting the known values, we have the equation in point and slope form as follows;

y - 3 = -\dfrac{1}{2} \cdot (x - 1)

7 0
3 years ago
Pablo is on a road trip which will cover a distance of 840 miles. He plans to break the trip up and will complete it over three
Colt1911 [192]

Answer: 2.87 hours

Step-by-step explanation:

There may be a typo in the question because 55 hours in a day is not logical so you must have meant 5.5 hours.

In that case, the hours he will require on the third day would require the distance left to calculate. Get this distance from the first 2 days.

Day 1 distance travelled = Time * Speed

= 5.5 * 66

= 363 miles

Day 2 distance travelled = Time * Speed

= 5.5 * 58

= 319 miles

Total distance remaining

:= 840 - 363 - 319

= 158 miles

Travelling at 55 miles per hour, the time to be taken is:

= Distance remaining / Speed

= 158 / 55

= 2.87 miles per hour

8 0
2 years ago
Let f and g be linear functions with equations f(x) = m1x + b1 and g(x) = m2x + b2.
MariettaO [177]
F(x) = m1x + b1
g(x) = m2x + b2

f(g(x)) = f(m2x + b2) = m1(m2x + b2) + b1 = m1m2x + b2 + b1

a.) f of g is also a linear function.

b.) slope is m1m2
8 0
3 years ago
Can someone help me please?
kodGreya [7K]
2/4 = 0.5
3/4 = 0.75
7/8 = 0.875
3/8 = 0.375
8 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST!!!!20 POINTS!!!!URGENT!!!
zvonat [6]

Answer:

the firsts third and last one

Step-by-step explanation:

hope this helped

8 0
3 years ago
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