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Murrr4er [49]
1 year ago
13

Write the solution using interval notation: -8 < 2x - 4 < 10

Mathematics
1 answer:
saul85 [17]1 year ago
7 0

Answer:(-2,7)

Step-by-step explanation:

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What is the answer to this equation?
RoseWind [281]
This might be right?

7 0
3 years ago
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The equation of line AB is y 5x+ 1. Write an equation of a line paraliei to line AB in slope-intercept form that contains point
Alchen [17]

Answer:

The equation would be y = 5x - 15

Step-by-step explanation:

To find the equation to this line, we first have to note that parallel lines have the same slope. Since the original line has a slope of 5, we know that the new line will also have that slope. Then we can use the slope and the point in point-slope form and solve for y.

y - y1 = m(x - x1)

y - 5 = 5(x - 4)

y - 5 = 5x - 20

y = 5x - 15

7 0
3 years ago
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A line has a slope of 8 and a y-intercept of 0 what is its equation in slope intercept form
Deffense [45]
Slope-intercept form is y = mx + b.
In this form, m is slope and b is y-intercept.
Slope is rise over run. The formula for this is (y2-y1)/(x2-x1).
Y-intercept is the value of y when x is equal to 0.

1. Slope = 8 ; Y-intercept = 0
y = mx + b
m = 8 ; b = 0
y = 8x + 0
y = 8x

2. Slope = 1 ; Y-intercept = 2
y = mx + b
m = 1 ; b = 2
y = 1x + 2
y = x + 2

The answer to #1 is y = 8x.
The answer to #2 is y = x + 2.

Hope this helps!
4 0
3 years ago
How do I find the x and the y
mart [117]

Answer:

x = 22

y = 35

Step-by-step explanation:

Because its an isosceles triangle, you know the base angles are equal so:

3x - 11 = 2x + 11

Solving:

subtract 2x from both sides

x-11=11

add 11 to both sides

x = 22

Next, find the angle measures of the two base angles:

3*22-11\\66-11\\55

To find y, you know that the interior angles of the whole triangle add up to 180, so you have

55 + 55 + 2y = 180

solving,

110 + 2y = 180

subtract 110 from both sides

2y = 70

divide both sides by 2

y = 35

3 0
2 years ago
Read 2 more answers
Please help me to solve all the questions would appreciate it if its with full working
Degger [83]

∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

<h3>What are the total angles on a straight line?</h3>

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

<h3>What is ∠LKJ?</h3>

Recall that in angles in parallel lines:

  • Corresponding Angles are always congruent,  
  • Alternate Angles are always congruent, and
  • Interior According always sum up to 180°

Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

<h3>What is ∠ALM?</h3>

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

<h3>What are the solutions to section B?</h3>

  1. Because ∠ACB and ∠BAC are equal, therefore sides AB and BC are equal in length. We can tell that  ∠ACB and ∠BAC are equal because the total angles in the triangle are equal to 180°

     2. The name given to the triangle mentioned above is Obtuse      

          Triangle. This is because one of the angles exceeds 90°.

Learn more about angles in parallel lines at:
brainly.com/question/24607467
#SPJ1

4 0
2 years ago
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