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Naya [18.7K]
3 years ago
15

A sequence of squares is made of identical square tiles. The edge of each square is one tile length longer than the edge of the

previous square. The first three squares are shown. How many more tiles does the seventh square require than the sixth
Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0
Answer :
I don’t understand
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What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x
Diano4ka-milaya [45]

Answer:

An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

  • y=\frac{1}{6}x-3

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Given the line

6x+y=2

Simplifying the equation to write into the  slope-intercept form

y = -6x+2

So, the slope = -6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be: -1/-6 = 1/6

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be

y-y_1=m\left(x-x_1\right)

substituting the values m = 1/6 and the point (6, -2)

y-\left(-2\right)=\frac{1}{6}\left(x-6\right)

y+2=\frac{1}{6}\left(x-6\right)

subtract 2 from both sides

y+2-2=\frac{1}{6}\left(x-6\right)-2

y=\frac{1}{6}x-3

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

  • y=\frac{1}{6}x-3
5 0
2 years ago
Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 4 - (x - 6)2 (5 points)
leva [86]

Answer:

g(x) is always decreasing

Step-by-step explanation:

Step 1: Distribute

g(x) = 4 - (2x - 12)

g(x) = 4 - 2x + 12

Step 2: Combine like terms

g(x) = -2x + 16

Since the line is linear and has a negative slope, it will always decrease when you input either a positive or negative x value. The output <em>y </em>will go lower.

4 0
3 years ago
Amanda only has $30 to buy pens and notebooks. Each pen costs $2. Each notebook coats $3. Which of the following graph represent
sineoko [7]

Answer:

3p + 8n,    12p + 2n,    9p+4n,    6p+6n

8 columns bar graph.

Step-by-step explanation:

$2 = pen

$3 = notebook

This could be written as a bar graph in multiples of $6.00 along y axes.

3 pens + 8 notebooks. Then 12 pens + 2 notebooks.

Then 9 pens + 4 notebooks . Then 6 pens + 6 notebooks

3p + 8n,    12p + 2n,    9p+4n,    6p + 6n

3p = $6

8n = $24

12p = $24

2n = $6

9p = $18

4n = $12

6p = $12

6n = $18

and so on...

4 0
2 years ago
Can anyone help? Find the measure of L​
Sauron [17]
It’s 90 degrees hope this helps
7 0
2 years ago
The table below represents a linear function f(x) and the equation represents a function g(x):
Aneli [31]
Slope of f(x)


Slope of g(x)


PART A)
The slopes of f(x) and g(x) are the same.

PART B)
The equation for line f(x)
y = 4x + b
-1 = 4(0) + b
-1 = b

y = 4x - 1

The function G(x) has a bigger y-intercept. The y-intercept of g(x) is 3, while the y-intercept of f(x) is -1.
4 0
3 years ago
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