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4 years ago

PLS HELP ASAP Solve the inequality and enter your solution as an inequality in the box below 8>4-x>6

Mathematics

1 answer:

77julia77 [94]4 years ago

6 0

Answer:

−4<x<−2

Step-by-step explanation:

8 > 4 − x > 6

8 > −x + 4 > 6

8 + −4 > −x + 4 + −4 > 6 + −4

4 > −x > 2

Since x is negative we need to divide everything by -1 which gives us...

−4 < x < −2

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Triangle TUV was dilated to create triangle T'U'V' using point A as the center of dilation. What is the scale factor of the dila

Tomtit [17]

A dilation is a transformation, with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.

Thus, a dilation with centre O and a scale factor of k maps the original figure to the image in such a way that the distances from O to the vertices of the image are k times the distances from O to the original figure. Also the size of the image are k times the size of the original figure.

In the dilation of triangle TUV, It is obvious that the image T'U'V' is smaller than the original triangle TUV and hence the scale factor is less than 1.

The ratio of the distances from A to the vertices of the image T'U'V' to the distances from A to the original triangle TUV is the scale factor.

The scale factor = 3.2 / 4.8 = 2/3

8 0

3 years ago

Read 2 more answers

Look at the figure find the value of x for which l || m

Orlov [11]

Answer:

x=5

Step-by-step explanation:

19x and its vertical angle are equal. Lets call that angle y

<y and 17x are same side interior angles. Same side interior angles add to 180 if the lines are parallel. Since l is parallel to m.

<y + 17x=180

We know that y and 19x are equal since they are vertical angles, so we can substitute this in.

19x+ 17x = 180

Combine like terms.

36x = 180

Divide each side by 36

36x/36 = 180/36

x = 5

8 0

3 years ago

What is the GCF and LCM of -21 and 80? Please Help! Explanation Please! :)

Gekata [30.6K]

Answer:

It's on ur most recent version of this question

3 0

3 years ago

The length of a rectangle is 5 in. more than 3 times its width. The quadratic function f(x) = x(3x + 5) represents the area of t

saveliy_v [14]

F(x)=x(3x+5)
or
f(x)=3x²+5x
Here the domain in general is: -∞<x<∞
But the length of the rectangle cannot be negative, therefore the domain is all real numbers greater than zero.

Option D is correct.

5 0

4 years ago

Read 2 more answers

What is the equation of the line that is parallel to the line x = -2 and passes through the point (5.4)?

Leno4ka [110]

Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:

$\large \boxed{m_1 = m_2}$

We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:

y = a —> horizontal line; slope is 0.
x = a —> vertical line; slope is undefined.
For y = a, any a-values would have same x-values. For example, if we are given y = 2 then any domains or x-values can have the range of 2.
For x = a, any a-values would have same y-values or range.

Back to the question. We want to find the equation of a line that is parallel to the line x = -2 and passes through (5,4) point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.

Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.

Answer

The equation of a line that is parallel to x = -2 and passes through (5,4) is x = 5.

I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!

4 0

3 years ago