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Softa [21]
2 years ago
11

Solve the equation −4p+9=−5

Mathematics
2 answers:
Anna35 [415]2 years ago
7 0

Answer:

p=3.5

Step-by-step explanation:

-4p+9=-5

-9

-4p=-14

p=3.5

ryzh [129]2 years ago
5 0

Answer:

p = 7/2 or 3.5

Step-by-step explanation:

-4p + 9 = -5

-4p = -14 (subtracted 9 from both sides)

p = -14/-4 = 7/2

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4 0
3 years ago
Analyze the diagram below and answer the question that follows.
Anna35 [415]

Answer:

The right statement is sin(J) = cos(L) ⇒ answer D

Step-by-step explanation:

* Lets describe the figure

- LKJ is a right triangle, where K is a right angle

∵ m∠K = 90°

∵ LJ is opposite to angle K

∴ LJ is the hypotenuse

∵ LJ = 219

∵ KJ = 178

- By using Pythagoras Theorem

∵ (LJ)² = (LK)² + (KJ)²

∴ (219)² = (LK)² + (178)² ⇒ subtract (178)² from both sides

∴ (LK)² = (219)² - (178)²

∴ (LK)² = 16277

∴ LK = √16277 = 127.58

* Lets revise how to find the trigonometry function

# sin Ф = opposite/hypotenuse

# cos Ф = adjacent/hypotenuse

# tan Ф = opposite/adjacent

∵ LK is the opposite side to angle J

∵ LJ is the hypotenuse

∵ sin(J) = LK/LJ

∵ LK = 127.58 , LJ = 219

∴ sin(J) = 127.58/219 = 0.583

∵ LK is the adjacent side to angle L

∵ LJ is the hypotenuse

∵ cos(L) = LK/LJ

∵ LK = 127.58 , LJ = 219

∴ cos(L) = 127.58/219 = 0.583

∴ sin(J) = cos(L)

* The right statement is sin(J) = cos(L)

7 0
3 years ago
yesterday, Jack drove 40 1/2 miles. he used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallons
Amanda [17]


From the information we have, Jack drove 401/2 miles and used a total of 1 1/4 gallons of gasoline.

We need to find out how many miles he travelled  per each gallon.

40 1/2 miles can be written as 40.5 miles

1 1/4 gallons  can be written as 1.25 gallons.

So now we form an equation.

40.5 = 1.25

   x = 1

Where x is the number of miles per gallon

We cross multiply the equation

40.5 * 1 = 1.25 * x


40.5 = 1.25x

40.5 / 1.25  = x

 32.4 = x

x = 32 .4

So the unit rate for miles per gallons is 32.4 miles per gallon


3 0
3 years ago
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