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Bezzdna [24]
2 years ago
9

Write an equation of a line that is parallel to y=2x-5 that passes through the point (2,6).

Mathematics
1 answer:
inessss [21]2 years ago
3 0

Answer: Parallel lines have the same slope

y = 2x +b

Use the given point (2, 5)

5 = 2(2) +b

b = 5 -4 = 1

The equation of the line is

y = 2x +1

Note general form of the slope-intercept form of a line is y = mx +b, where m is the slope and b is the y-axis intercept

Step-by-step explanation:

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Select the two values of x that are roots of this equation. 2x2 + 7x + 6 = 0
Anna007 [38]

Answer:

x = -3/2, -2

Step-by-step explanation:

2x^2 + 7x + 6 = 0

(2x + 3)(x + 2) = 0

(2x + 3)

2x = -3

x = -3/2

(x + 2)

x = -2

7 0
2 years ago
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Find the value of y.
Phoenix [80]

\boxed{y=6\sqrt{3}}

<h2>Explanation:</h2>

For a better understanding of the problem I've built up two triangles from the given triangular shape. So these two triangles are similar. Therefore, we can solve this problem by using ratios and corresponding sides in this way:

\frac{x}{3}=\frac{12}{x} \\ \\ x^2=36 \\ \\ x=\sqrt{36} \\ \\ x=6

But our goal is to find y. Let's call w the height of the small triangle, then:

w=\sqrt{6^2-3^2}=3\sqrt{3}

Applying the concept of ratios again:

\frac{y}{w}=\frac{x}{3} \\ \\ y=w \left(\frac{x}{3}\right) \\ \\ y=3\sqrt{3}\left(\frac{6}{3}\right) \\ \\ \boxed{y=6\sqrt{3}}

<h2>Learn more:</h2>

Right triangle: brainly.com/question/10684799

#LearnWithBrainly

4 0
3 years ago
Tell whether the relationship shown in the mapping diagram is a function or not.
sammy [17]

Answer:

It is a function

Step-by-step explanation:

The x-values do not repeat so it is a function.

4 0
3 years ago
-0.00025 scientific notation
LiRa [457]

Answer:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Step-by-step explanation:

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3 years ago
If ______, then ∆ABC and ∆EFD are congruent by the ASA criterion.
damaskus [11]

The <em><u>correct answers</u></em> are:

Angle A is congruent to angle E; and BC=FD.

Explanation:

For ASA, we want two angles and an included side of one triangle congruent to two angles and an included side of the other triangle.  The sides we have marked are AC and DE; the angles already marked congruent are C and D.  In order to be ASA, the other angle must be on the other side of the congruent side; this means that we have angles A and E.

For SAS, we want two sides and an included angle of one triangle congruent to two sides and an included angle of the other triangle.  We have angles C and D congruent and sides AC and DE congruent.  In order to be SAS, the other side must be on the other side of the congruent angle; this means we have sides BC and FD.

7 0
3 years ago
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