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Bogdan [553]
3 years ago
8

complete the equcomplete the equation of the line whose slope is -2 and y intercept is (0,3)ation of the line whose slope is -2

and y intercept is (0,3)
Mathematics
1 answer:
Dvinal [7]3 years ago
8 0
<h3><u>Question:</u></h3>

Complete the equation of the line whose slope is -2 and y intercept is (0,3)

<h3><u>Answer:</u></h3>

The equation of the line whose slope is -2 and y intercept is (0,3) is y = -2x + 3

<h3><u>Solution:</u></h3>

Given that line has slope of -2 and y - intercept of (0, 3)

We have to find the equation of line

The equation of line can be found by using the slope intercept form

<em><u>The slope intercept form is given as:</u></em>

y = mx + c

Where "m" is the slope of line and "c" is the y-intercept

Here given that slope = m = -2

y - intercept is the y-coordinate of a point where a line intersects the y-axis.

So here y intercept is (0, 3) and we get c = 3

Substituting the values in slope intercept form we get,

y = -2x + 3

Thus the equation of line is found

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Lines c and d are parallel. Parallel lines c and d are cut by transversals s and t. Clockwise from top left, the angles formed b
lys-0071 [83]

Answer:

Options (1), (2) and (5) are true.

Step-by-step explanation:

Option (1). m∠1 = (2x + 10)°

lines c and d are the parallel lines and t is a transverse.

Therefore, m∠1 = (2x + 10)° [corresponding angles]

This option is true.

Option (2). m∠3 = 87°

Since ∠3 and angle having measure equal to 87° are the vertical angles therefore, both the angles will be equal in measure.

This option is true.

Option (3). m∠2 = (2x + 10 + 5x - 1)°

m∠2 = (5x - 1)° [Since both the angles are interior alternate angles]

Therefore, this option is not true.  

Option (4). m∠1 + m∠2 = m∠3

(5x - 1) + (2x + 10) + 87 = 180° [Sum of liner angles at a point is 180°]

7x + 96 = 180

7x = 180 - 96

x = \frac{84}{7}

x = 12

Therefore, m∠1 = (2x + 10) = 34°

                 m∠2 = (5x - 1) = 59°

                 m∠3 = 87°

For the given relation,

m∠1 + m∠2 = m∠3

34 + 59 = 87

93 = 87

Not true.

Therefore, this option is not correct.

Option (5). 87 + 2x + 10 + 5x - 1 = 180°

True.

Since these angles are the linear angles so the sum of all angles = 180°

Therefore, the given option is correct.

Options (1), (2) and (5) are the true.

4 0
3 years ago
Two Fifths of the vegetables in Priya's garden are tomatoes.
IgorLugansk [536]
Let
V-------------> total <span>vegetables in Priya's garden
T------------> total tomatoes </span>in Priya's garden

we know that
T=(2/5)V

Part A) <span>HOW many tomatoes are there I'd Priya's garden has.

1) </span><span>20 Vegetables?
</span>T=(2/5)*20----------> 20*2/5---------> 8 tomatoes
<span>the answer Part A1) is 8 tomatoes
</span>
2) x Vegetables?
T=(2/5)*x----------> x*2/5---------> (2/5)*x  ----------> 0.40*x tomatoes
the answer Part A2) is (0.40)*x  tomatoes

Part B) <span>Priya's garden has 6 tomatoes. How many total vegetables are there?

</span>T=(2/5)V-----------> V=5T/2--------> V=(5*6)/2--------> V=15 vegetables
<span>
the answer part B) is </span>15 vegetables<span>

</span>
5 0
3 years ago
Apply the communitive property to 13x7x21 to rearrange the terms and still get the same solution
Snezhnost [94]
The commutative porperty states that numbers can be swapped over , they can change their place in the equation and the result will still be the same.
In our case 13 x 7 x 21, the commutative property means that the numbers can be rearranged
13x7x21=13x21x7=7x21x13=7x13x21
5 0
4 years ago
13.) Jessica earns 5 points for every assignment she completes, plus 15 points just for being in class on a given day. How many
Nina [5.8K]

Answer:

10

5z+15=65

Step-by-step explanation:

5z+15=65

5(10)+15=65

7 0
3 years ago
Please see image below- 8th grade math
Len [333]
Not an answer but Photo math is a good app to use to calculate to :)
4 0
3 years ago
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