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trapecia [35]
2 years ago
9

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.

Mathematics
1 answer:
Anton [14]2 years ago
8 0

Answer:

The equation of line with given points and perpendicular to y-axis is

y = - 7  

Step-by-step explanation:

Given as :

The given points as ( - 10 , - 7)

The equation of line is Y = mX + c

So The line will satisfy given points

Or,  - 7 = m ( -10 ) + c

Now This line is perpendicular to y- axis

∴ The slop of line perpendicular to  y axis is 0

So, - 7= 0 + c

or, c = - 7

∴ Equation of line is y = 0 + c

Or,        y = - 7

Hence The equation of line with given points and perpendicular to y-axis is y = - 7      Answer

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A "child has six blocks, three of which are red and three of which are green". How many patterns can shemake by placing them all
makvit [3.9K]

Answer: There are 20 ways and 1680 ways respectively.

Step-by-step explanation:

Since we have given that

Total number of blocks = 6

Number of red blocks = 3

Number of green blocks = 3

So, Number of patterns she can make by placing them all in a line is given by

\dfrac{6!}{3!\times 3!}\\\\=20

If there are 3 white blocks

so, total number of white blocks becomes 9

So, Number of total pattern she can make by placing all nine blocks in a line is given by

\dfrac{9!}{3!\times 3!\times 3!}\\\\=1680\ ways

Hence, there are 20 ways and 1680 ways respectively.

6 0
3 years ago
Benito wrote the equations shown about the figure. Explain Benito’s errors.
Minchanka [31]

Answer:

  • Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

Explanation:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.

For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.

In mathematics, you must not say that two different segments or two different angles are equal but they are congruent, which means that their lengths are equal. The use of equal is reserved for numbers and variables, not for figures like segment, points, angles, polygons.

7 0
3 years ago
A farm stand sells apples pies and jars of applesauce. The table shows the number of apples needed to
lara31 [8.8K]

Answer:

IF I am correct, 5

Step-by-step explanation:

98/ 18

8 0
2 years ago
In the interval,<br> [0,2), what are the solutionms of the equation sin x =-1/2?
kotykmax [81]

Answer:

Step-by-step explanation:

6 0
3 years ago
these problems been confusing me for a while- if you could please help me with the answers that would be amazing.
bulgar [2K]

Answer:

Angle 1 = 85*

Angle 3 = 85*

Angle 4 = 95*

Angle 5 = 85*

Angle 6 = 95*

Angle 7 = 85*

Angle 8 = 95*

Step-by-step explanation:

Since angle 2 is 95*, angle 4 would be the exact same. Now you add 95+95=190 and subtract that from 360. 360-190=170. Then divide 170 by 2= 85 to get the measurements for 1 and 3.

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