All categories

3 years ago

Use the following graph to answer questions 1-3.

Mathematics

1 answer:

mart [117]3 years ago

5 0

Answer:

m = 7/5

b = 7

y = 7/5x + 7

Step-by-step explanation:

points (-5,0) (0,7)

slope = (y2-y1)/ (x2-x1)

= (7-0)/(0--5)

= (7-0)/(0+5)

= 7/5

y intercept = point where it crosses the y axis (0,7)

y = mx+b

m = 7/5

b = 7

y = 7/5x + 7

You might be interested in

Write an equation of the line in point-slope form that passes through the given points (-3,2) (5,5)

daser333 [38]

I think it is: y=0.375x+3.125

a=(5-2)/(5- -3)=3/8=0.375

Find b

(5)=0.375(5)+b
(5)=1.875+b
5-1.875=b
b=3.125

3 0

3 years ago

A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace?

alexandr1967 [171]

Answer:

The probability that the last card dealt is an ace is $\frac{1}{13}$ .

Step-by-step explanation:

Given : A deck of ordinary cards is shuffled and 13 cards are dealt.

To find : What is the probability that the last card dealt is an ace?

Solution :

There are total 52 cards.

The total arrangement of cards is 52!.

There is 4 ace cards in total.

Arrangement for containing ace as the 13th card is $4\times 51!$ .

The probability that the last card dealt is an ace is

$P=\frac{4\times 51!}{52!}$

$P=\frac{4\times 51!}{52\times 51!}$

$P=\frac{4}{52}$

$P=\frac{1}{13}$

Therefore, the probability that the last card dealt is an ace is $\frac{1}{13}$ .

4 0

3 years ago

Lesson 5: Lines and Triangles Geometry A Unit 4: Parallel and Perpendicular Lines

aev [14]

The Triangle Sum Theorem states that the sum of the angles of a triangle equal 180°.
Therefore,
45° + 62° + k = 180
107° + k = 180
k = 73°
The value of k is 73°

3 0

3 years ago

Read 2 more answers

The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for Pi and round to the nearest tenth.)

Butoxors [25]

Answer:

Area of a circle=pi*(radius)^2

Diameter=2*radius

=> radius=5 m

Area=3.14*(5)^2=3.14*25=78.5 m^2

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

Write a linear equation to model the following situation: Frankie has $500 in her savings account at the beginning of the year.

Juli2301 [7.4K]

A linear equation can be represented by:

y = mx + b

Where m = slope, and b = y intercept.

The slope is a rate of change, so our slope is $150.
The y intercept is the point where the equation crosses the y axis, or the "initial amount" in this case $500.

So our equation will be:

y = 150x + 500.

6 0

3 years ago