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Eduardwww [97]
3 years ago
7

Write an equation of the line that passes through (-2,3) and is parallel to the line y=2x-4

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

Equation: y = 2x + 7

Step-by-step explanation:

If the line is parallel to the line resembling the equation y = 2x - 4, it would mean that the line would have a similar slope, leading to part of the equation:

y = 2x

Now substitute the x-coordinate -2 and y-coordinate 3 into the equation * (derived from (-2, 3) ):

3 = 2(-2)

Now simplify either side:

3 = -4

For 3 to equal -4, you would have to add 7:

3 = -4 + 7 = 3

This means the final equation is:

y = 2x + 7

(Sorry if this isn't the way you expected to solve the question)

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DENIUS [597]

Answer:

the answer is odd

Step-by-step explanation:

4 0
3 years ago
Help me with this please!
DedPeter [7]

Answer:

Area of triangle = 20√2

Step-by-step explanation:

Formula:

Area of triangle = bh/2

b - base  of triangle

h - height of triangle

<u>Distance formula</u>

d = √(x₂ - x₁)² +(y₂ - y₁)²

From the figure we can see that, the given triangle is right angled triangle.

Base = AC and Height = AB

<u>To find AB and AC</u>

A(1,3), B(4,7) and C(9, -5)

AB =  √(4 - 1)² +(7 - 3)² =  √(3² + 4²) = 5

AC = √(9 - 1)² +(-5 - 3)² =  √(8² + -8²) = 8√2

<u>To find the are of triangle</u>

Area = bh/2 = (5* 8√2)/2 = 20√2

Therefore the area of triangle = 20√2 square units

8 0
3 years ago
Read 2 more answers
One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
Aloiza [94]

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

8 0
3 years ago
F(4) = ______<br> If g(x) = 2, x = _____
disa [49]

Answer:

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Step-by-step explanation:

From the graph attached,

For x = 4,

Value of the function will be,

f(4) = y value at x = 4

f(4) = -10

Similarly, for y = g(x) = 2,

x value of the function will be,

x = 0

For which g(0) = 2

Therefore, for x = 0 value of the function will be 2.

g(0) = 2

5 0
3 years ago
What is the interest on 3000 at a rate of 0.04 for 3 years
xxMikexx [17]
Basically what you need to do is:
3000 X 0.04^3
I would give an answer but I don’t have a calculator at the moment, but I hope this helps
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