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Cerrena [4.2K]
2 years ago
11

Identify the equation in slope-intercept form for the line containing the point (0,7) and perpendicular to y=−5/4x+11/4.

Mathematics
1 answer:
g100num [7]2 years ago
4 0

Answer:

4/5x + 7

Step-by-step explanation:

the slope-intercept form is y = ax+b

a is the slope, to figure it out the line is perpendicular to y = -5/4x+11/4

There is a rule said if two lines are perpendiculars, the multiplication of their slopes = -1, so -5/4 * a = 1, solve for a = 4/5

b is the intercept to get it use the point (0,7)

so y = 4/5x+b, 7 = 4/5 * 0 + b,  then b = 7

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A square wall is covered with sqare tiles. There are 85 tiles altogether along the two diagonals. How many tiles are there on th
olchik [2.2K]

Answer:

There are 1849 tiles on the whole wall.

Step-by-step explanation:

If there are 85 tiles along the two diagonals, we can use the following rule:

\frac{85+1}{2}=43

So we have 43 tiles in the first diagonal and 85-43 = 42 in the second diagonal.

Now, as we have a square the side will have 43 tiles so the total area will be cover with:

A=43*43=1849

Therefore, there are 1849 tiles on the whole wall.

I hope it helps you!                              

4 0
3 years ago
Write a linear function f with f(0)=7 and f(3)=1.
choli [55]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

a = ( 0 , 7 ) & b = ( 3 , 1 )

First need to find the slope using the following equation :

slope =  \frac{y(b) - y(a)}{x(b) - x(a)}  \\

slope =  \frac{1 - 7}{3 - 0}  \\

slope =  \frac{ - 6}{3}  \\

slope =  - 2

_________________________________

We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .

y - y(0) = m \times ( \: x - x(0) \: )

x(0) = x - coordinate \:  \: of  \:  \: through \:  \: point \\

y(0) = y - coordinate \:  \: of \:  \: through \:  \: point \\

m = slope

I choose point (( a )) to put in the equation.

y - 7 =  - 2 \times (x - 0)

y - 7 =  - 2x  + 0

y - 7 =  - 2x

Add sides 7

y - 7 + 7 =  - 2x + 7

y =  - 2x + 7

This the slope-intercept form .

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

7 0
2 years ago
The supplement of an angle is 3 times the complement of an angle.
-Dominant- [34]
Let’s says that x is the measure of the angle. X and it’s supplement are equal to 180. X and it’s complement are equal to 90. The supplement is s and the complement is c. S is times c which is the same as 3c.

3c + x = 180

C+x = 90
X = 90 - c

3c + 90 - c = 180
2c = 90
C = 45

The complement of. 45 degree angle is 45 degrees.

The angle is 45 degrees.
6 0
3 years ago
What is the ratio of hexagons to rectangles?
Butoxors [25]

Answer:

4:6

Step-by-step explanation:

um there is no picture to count from so i will created a random one which was 4:6

7 0
3 years ago
TJ earns a 20% commission on all sales plus a base salary of $40,000. His total income last year was more than $70,000. Which in
sukhopar [10]

Answer:

40,000 + 0.2x ≥ 70,000


3 0
3 years ago
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