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Karo-lina-s [1.5K]
2 years ago
12

Find the slope and the -intercept of the line. y=x+8

Mathematics
2 answers:
Dima020 [189]2 years ago
5 0

Answer:

m = 1 and b = 8

Step-by-step explanation:

y = x + 8

Here the slope is 1, since y = mx+ b. m is the slope so m = 1. b is the

y-intercept so b=8

vichka [17]2 years ago
4 0

Answer:

slope = 1

y intercept = (0,8)

Step-by-step explanation:

the equation y = x + 8 is put in y = mx + b form

where m = slope and b = y intercept

in the equation y = x + 8 , the value of "m" is 1 meaning the slope is 1 and the value of "b" is 8 so the y intercept is (0,8)

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A glass of water was seven- eighths of a liter. With a 6 liter jug, how many glasses could you pour? Do you have to multiply div
ivolga24 [154]

Let us suppose, we pour x glass of water.

The given jug is of 6 liters. And the glass of water was seven- eighths of a liter. Hence, we have the below equation

\frac{7}{8} x= 6

Now, in order to solve for x, we will divide 6 with 7/8. So, we have to divide.

x=\frac{6}{7/8} \\
\\
x=\frac{48}{7} \\
\\
x=6.9

Hence, we can pour 7 glass of water. But the 7th glass is not full of water. It is partially full.

5 0
3 years ago
Susan and Mark are standing at different places on a beach and watching a bird. The angles of elevation they make are 20º and 50
Mandarinka [93]

Answer:

The bird is 2.44km high

Step-by-step explanation:

Hello,

To solve this question, we need to understand how they are and we can only get this with a correct pictorial diagram.

See attached document for better understanding.

From the first diagram, we understand that the bird is between them and also on top of them.

Assuming Susan, Mark and the bird all form a triangle at each other and the bird at the top, we can divide the the triangle into two equal parts.

But before then, we should know that sum of angles in a triangle is equal to 180°

Therefore,

20° + 50° + b° = 180

70° + b = 180

b = 180° - 70°

b = 110°

Dividing angle b into two equal parts = 55° on each side.

See the last attached document for better illustration.

Using SOHCAHTOA, we can find the adjacent of the triangle which corresponds to the height of the bird.

We have opposite = 3.4km and we're looking for adjacent. We can use tangent of the angle to find the adjacent.

Tanθ = opposite / adjacent

Tan 55° = 3.5 / adj

Adjacent = 3.5 / tan55

Adjacent = 3.5 / 1.43

Adjacent = 2.44km

The height of the bird is 2.44km

7 0
3 years ago
Find the unit rate. Round to the nearest hundredth, if necessary. $130 for 17 ft2. The unit rate is $ /ft2.
finlep [7]

Answer:

201

Step-by-step explanation:

I'm smart ok trust me ON this one if I'M wrong at least I tried

3 0
3 years ago
Write the 2 digit number that matches the clue
Wittaler [7]
You can figure this out by setting up an equation and make

x= tens digit
y= ones digit

y + 8 =x (tens digit 8 more than ones)

also we know that 

y>0
x>0

since the 10s digit and 1s digit cannot be more than one number, we can say

0 < y > 10
0 < x > 10

since x has to be greater than 0 but less than 10, there is only one number that would fit into the equation for y

2 + 8 = 10
(y cannot equal 2 because than x is equal to 10 and it must be less than)

1 + 8 = 9 
( y can be 1 since x is less than 10)

so it would be 
y= 1
x= 9

the number would be 91

hope this helped!




5 0
3 years ago
I will give brainiest to whoever answers correctly !!
tigry1 [53]

Answer:

The graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

Step-by-step explanation:

This can be determined using the formula for calculating the future value (FV) formula as follows:

FV = PV * (1 + r)^n ................................. (1)

Where;

FV = Future value or the amount the graduate will have at end of 36 months = ?

PV = Present value or the total amount invested = Cash gifts from friends and relatives + Amount of 3 scholarships he received = $900 + $250 + $300 + $1,400 = $2,850

r = daily interest rate = 1% / 360 = 0.01 / 360 = 0.0000277777777777778

n = number of days = 36 months * 360 days = 12,960

Substituting the values into equation (1), we have:

FV = $2,850 * (1 + 0.0000277777777777778)^12,960

FV = $2,850 * 1.43332224806396

FV = $4,084.96840698229

Approximating to the nearest cent as required, we have:

FV = $4,084.97

Therefore, the graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

5 0
3 years ago
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