MATHEMATICS HIGH SCHOOL

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.

Answers

Answer 1

Answer:

m = (-1 - 4) /(2-3) = -5/-1 = 5

slope = 5

passing (3, 4)

y = mx + b

4 = 5(3) + b

4 = 15 + b

4 -15 = b

-11 = b or b = -11

answer:

equation

y = 5x - 11

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A quadratic equation is shown below:x2 − 14x + 41 = 0Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers?A. Add 8 to both sides of the equationB. Add 9 to both sides of the equationC. Subtract 8 from both sides of the equationD. Subtract 9 from both sides of the equation

In a game of poker a hand of five cards is dealt to each player from a deck of 52 cards. find the probablility of a hand containing a spade flush.

Answers

Answer:

0.00597

Step-by-step explanation:

Given,

Total number of cards = 52,

In which flush cards = 20,

Also, the number of spade flush cards = 5,

Since,

$\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}$

Thus, the probability of a hand containing a spade flush, if each player has 5 cards

$=\frac{\text{Ways of selecting a spade flush card}}{\text{Total ways of selecting five cards}}$

$=(^(20)C_5)/(^(52)C_5)$

$=((20!)/(5!15!))/((52!)/(5!47!))$

$=(15504)/(2598960)$

= 0.00597

Expand the logarithmic expression.
log(b)squrt(13/73)

Answers

Answer:

$\frac{log_b{13}-log_b{73}}{2}$

Step-by-step explanation:

$log_b{\sqrt{(13)/(73)}}$

First we remove the square root

$log_b({(13)/(73))^(1)/(2)}$

As per log property we can move the exponent 1/2 before log

$(1)/(2)log_b{(13)/(73)}$

Now we apply log property to expand log (13/73)

log(a/b)= log(a) - log(b)

$(1)/(2)log_b{13}-log_b{73}}$

$\frac{log_b{13}-log_b{73}}{2}$

$\log_b\sqrt{(13)/(73)}=\frac12\log_b(13)/(73)=\frac{\log_b13-\log_b73}2$

A business center is about 3 3/4 times as tall as a monument. The monument is 444 feet tall. About how tall is the business center?

Answers

The business center is 16,665 feet tall.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A business center is about 3 3/4 times as tall as a monument.

Then, the conversion factor= 3 3/4 = 15/4 times

The monument is 444 feet tall.

Now, the business center is 3 3/4 times as tall as a monument.

So, the height of business center

= 444 x 3 3/4

= 444 x 15/4

= 111 x 15

= 16,665 feet

Hence, the businesscenter is 16,665 feet.

Learn more about Unitary Method here:

brainly.com/question/22056199

#SPJ5

Answer: 1,665

To find the product rewrite 444 and 3 3/4 as fractions: 444 x 3 3/4= 444/1 x 15/4. Multiply 444/1 x 15/4= 6,660/4. Divide 6,660 x 4= 1,665. So the business man is about 6,660/4 or 1,665 feet tall.

Can the graph of a function be a horizontal line? A vertical line? Explain.

Answers

It can be a function if it's horizontal because it's only touching each point once, it can't be a function for a vertical line because it's straight up and down and it'll hit every point

The graph of a function can be a horizontal line because the x-value at each point on the line is unique, and a horizontal line passes the vertical line test. The graph of a function cannot be a vertical line because the x-value remains the same at all points, and a vertical line fails the vertical line test.

Answer ASAP PLS -Angle PQR and angle TQV are vertical angles. The measures of the two angles have a sum of 100°. Write and solve an equation to find x, the measures of angle TQV.

Answers

TQV: 50
good luck :’)

5x2y and 7xy2 are like terms?

Answers

The variables aren't the same so no they are not alike

No, they aren't.

HOPE THAT HELPS YOU :-)))

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