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3 years ago

Find the equation of the line Passing through (-5,4) with slope -3

Mathematics

2 answers:

Alisiya [41]3 years ago

7 0

Answer:

y = -3x - 11

Step-by-step explanation:

With the slope given, we know the equation will be y = -3x + b

Now, we can find b by plugging in the point that was given:

4 = -3(-5) + b

4 = 15 + b

-11 = b

So, the equation will be y = -3x - 11

Alisiya [41]3 years ago

5 0

Answer:

y=-3x-11

Step-by-step explanation:

y-4=-3(x+5)

y-4=-3x-15

y=-3x-11

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How can a line segment CD be written using symbols?

kykrilka [37]

Solution

- The line segment CD is written as follows:

$\overline{CD}$

6 0

2 years ago

Given the conditional statement ~p -> q which statement is logically equivalent?

icang [17]

Any implication is logically equivalent to its contrapositive. In other words,

¬p ⇒ q ⇔ ¬q ⇒ p

(¬ means the same thing as ~, "not")

To prove this: recall that

p ⇒ q ⇔ ¬p ∨ q

This is because p ⇒ q is true if p is false, or both p and q are true, i.e.

p ⇒ q ⇔ ¬p ∨ (p ∧ q)

Disjunction (∨ or "or") distributes over conjunction (∧ or "and"), so that

p ⇒ q ⇔ (¬p ∨ p) ∧ (¬p ∨ q)

but ¬p ∨ p is always true, or a tautology, so we're just left with ¬p ∨ q.

Then

¬p ⇒ q ⇔ p ∨ q

… ⇔ q ∨ p

… ⇔ ¬(¬q) ∨ p

… ⇔ ¬q ⇒ p

4 0

3 years ago

Factor y2 + 5y + 6. (y + 6)(y + 1) (y + 2)(y + 3) (y + 4)(y + 2)

nekit [7.7K]

Answer:

(y + 2)(y + 3)

Step-by-step explanation:

5 0

3 years ago

Help mathhhhhhhhhhhhhhh

defon

90°/right angle I believe

5 0

3 years ago

Suppose the population of a town is 2,700 and is growing 4% each year. A. Write an equation to model the population growth. B. P

miss Akunina [59]

Answer:

Third option i.e. A. $2700(1.04)^x$ and B. About 4,323 people

Step-by-step explanation:

We are given that,

Initial population of the town = 2,700

The rate of growth = 4% = 0.04

Part A: Since, the equation for the growth is given by,

Population growth = $P(1+r)^x$ , where P is the initial population, r is the rate of growth and x is the time period of growth.

We have, according to the question,

Population growth = $2700(1+0.04)^x$

i.e. Population growth = $2700(1.04)^x$

Thus, the equation for the population growth is $2700(1.04)^x$ .

Part B: Now, it is required to find the population after 12 years i.e. x= 12.

So, we have,

Population = $2700(1.04)^x$

i.e. Population = $2700(1.04)^{12}$

i.e. Population = $2700\times 1.601032$

i.e. Population = 4,323

Hence, the population after 12 years is 4,323 people.

Thus, the third option is correct.

5 0

3 years ago

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