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Inessa [10]
3 years ago
6

What is the equation of the line with slope of ½ , and which passes through the point

Mathematics
1 answer:
Law Incorporation [45]3 years ago
6 0

Answer:

y = 1/2x - 7

Step-by-step explanation:

slope intercept form:

y = mx + b

y = -5

m(slope) = 1/2

x = 4

y = mx + b

<em>substitute </em>

-5 = 1/2*4 + b

-5 = 2 + b

-5 - 2 = b

-7 = b

y = 1/2x - 7

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3 years ago
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Please help, marking brainleist, show work
Stels [109]

Answer:

Perimeter: 16x + 16

Area: 40x + 15

Step-by-step explanation:

Remember, the perimeter is the sum of all the sides of a figure, it can be found by adding up all the sides. The area is the space within the figure, in the case of a quadrilateral can be found by multiplying the length by the width. Finally, in a rectangle, the opposite sides are congruent, parallel, and intersect in 90degree (right) angles.

Using this,

1. Find the perimeter

Since opposite sides are congruent, there will be two sides with a measure of ( 8x + 3 ), and two sides with the measure of 5. Hence the sum of all the sides would be

8x + 3 + 8x + 3 + 5 + 5

Add them together,

16x + 16.

The perimeter of the figure is 16x + 16

2. Find the area,

To find the area of a rectangle, multiply the length by the width.;

( 8x + 3 ) * 5

Distribute:

40x + 15

The area of the figure is 40x + 15

4 0
3 years ago
The statement tan theta -12/5, csc theta -13/5, and the terminal point determined by theta is in quadrant 2."​
Harlamova29_29 [7]

Answer:

Answer C:

Cannot be true because csc(\theta)  is greater than zero in quadrant 2.

Step-by-step explanation:

When the csc of an angle is negative, since the cosecant function is defined as:

csc(\theta)=\frac{1}{sin(\theta)}

that means that the sin of the angle must be negative, and such cannot happen in the second quadrant. The sine function is positive in the first and second quadrant.

Therefore, the correct answer is:

Cannot be true because  csc(\theta)  is greater than zero in quadrant 2.

6 0
3 years ago
according to the law of conservation of energy, when a car uses 10,000J chemical energy from gasoline, how much energy will be t
Bogdan [553]
According to the Law of Conservation, 10,000 J of energy will be released and transformed into sound, heat, and mechanical energy. This is true because energy cannot be destroyed or created; it just transforms into some other type of energy.

Hope this helps!
6 0
3 years ago
Verify the following trig identities​.
bagirrra123 [75]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• 1 + cot² x = csc²x and csc x = \frac{1}{sinx}

• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Consider the left side

sin²Θ( 1 + cot²Θ )

= sin²Θ × csc²Θ

= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified

-----------------------------------------------------------------

Consider the left side

cos²Θ - sin²Θ

= cos²Θ - (1 - cos²Θ)

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= 2cos²Θ - 1 = right side ⇒ verified

3 0
3 years ago
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