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3 years ago

State the slope and y intercept of the equation for these 3 questions

Mathematics

1 answer:

andrey2020 [161]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

(1)

y = 3x + 4 is in this form

with slope m = 3 and y-intercept c = 4

(2)

y = - $\frac{3}{7}$ x - $\frac{1}{7}$ is in this form

with slope m = - $\frac{3}{7}$ and y-in tercept c = - $\frac{1}{7}$

(3)

rearrange 3x + y = - 4 into slope-intercept form

subtract 3x from both sides

y = - 3x - 4 ← in slope-intercept form

with slope m = - 3 and y-intercept c = - 4

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Three cards are drawn at random from a standard deck of cards, without replacement. Find the probability that the suits of the c

Evgesh-ka [11]

The probability that suits of cards are spades, hearts, and spades is 39/850 or 0.046.

According to the give question.

Three cards are drawn from a standard deck of cards without replacement.

Since,

The total number of cards in a standard deck = 52

Total number of spade cards = 13

Total number of heart cards = 13

Now,

The probabbility of getting first card as a spade card = 13/52 = 1/4

The probability of getting second card as heart card

= 13/(52 -1) (cards are drawn without replacement)

= 13/51

The probability of getting third card as a spade card

= (13 - 1)/52 -2

= 12/50

= 6/25

Therefore, the probability that suits of the cards are spades, hearts, spades

= 1/4 × 13/51 × 6/25

= 39/850

= 0.046

Hence, the probability that suits of cards are spades, hearts, and spades is 39/850 or 0.046.

Find out more information about probability here:

brainly.com/question/11234923

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1 year ago

Is 1.75 grater than -4

rodikova [14]

Yes 1.7 is greater than -4

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Write 1/125 as an expression using a negative exponent other than -1

Katyanochek1 [597]

The answer to this is 5^(-3).

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3 years ago

If you place a 89-foot ladder against the top of a 80-foot building, how many feet will

Nuetrik [128]

Answer:

$\large \boxed{\text{39 ft}}$

Step-by-step explanation:

Let x be the distance from the foot of the ladder to the base of the building.

We have a right triangle, so we can use Pythagoras' Theorem.

$\begin{array}{rcl}80^{2} + x^{2}& = & 89^{2} \\6400+ x^{2} & = & 7921\\x^{2} & = & 1521\\x & = & \sqrt{1521}\\& = &\mathbf{39}\\\end{array}\\\text{The foot of the ladder will be $\large \boxed{\textbf{39 ft}}$ from the base of the building,}$

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3 years ago