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exis [7]
3 years ago
11

Plz help! Write the equation in standard form using integers. y+4=4/5(x+6)

Mathematics
1 answer:
levacccp [35]3 years ago
4 0
Y = 4/5(x + 6) - 4
y = 4/5x + 4.8 - 4
y = 4/5x + 0.8
4/5x - y = 0.8
Multiply by 5
Solution: 4x - 5y = 4
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The length of a side and corresponding height of a triangle are (x+3) and (2x-5) given that area of triangle is 20cm^2. Find the
vaieri [72.5K]

Answer:

x = 5

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h is height )

Here A = 20, b = (x + 3) and h = (2x - 5) , then

\frac{1}{2} (x + 3)(2x - 5) = 20 ← multiply both sides by 2

(x + 3)(2x - 5) = 40 ← expand left side using FOIL

2x² + x - 15 = 40 ( subtract 40 from both sides )

2x² + x - 55 = 0 ← in standard form

(x - 5)(2x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5

But x > 0 , so x = 5

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3 years ago
A 381 foot cable runs from the top of a radio tower to a skate in the ground. If it hits the ground 167 feet from the base of th
Goshia [24]

Answer:

64°

Step-by-step explanation:

Using Pythagoras rule :

Cosθ = adjacent / hypotenus

Adjacent = 167

Hypotenus = 381

Cosθ = 167 / 381

Cosθ = 0.4383202

θ = Cos^-1(0.4383202)

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Hence, angle of elevation = 64°

8 0
3 years ago
Answers for parcc spring operational 2016 answers
AleksAgata [21]
Go to google and search up "<span>Which word fits the spelling pattern"
then on the third thing, it will say "Answer keys - parcc"
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3 years ago
Vineet solved a system of equations by substitution. In his work, he substituted an expression for one of the variables and solv
tester [92]
The system of equations does not have a solution.

For example, imagine these two equations y = x + 7 and y = x + 9

Now subsitute y in the second equation with the value from the first equation:

x + 7 = x + 9

x - x + 7 = 9

0 + 7 = 9

7 = 9.

That happens because the equations represent parallel lines, which do not have a common pair of points.
3 0
4 years ago
Read 2 more answers
An elevator descends into mine shaft at the rate of 6m/min. If the descend starts from 10m above the ground level , how long wil
AnnyKZ [126]

Answer: Hi!

So first, I'm going to convert "350 below ground level" to -350, as this is what "below ground level" represents.

Now, we should find the total distance traveled. Take the absolute value of -350 (350) and add it to 10, the metres above ground level. This is 360.

We already know the rate of travel; 6m/min. All we have to do now is divide the total distance (360) by the rate of travel (6)!

360 ÷ 6 = 60

So, it took 60 minutes, or one hour, for the elevator to travel down the shaft!

Hope this helps!

6 0
3 years ago
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