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jarptica [38.1K]
3 years ago
7

Solve this: 2(k + 4) – 3k < 14

Mathematics
2 answers:
salantis [7]3 years ago
8 0

Answer: k > 6

Step-by-step explanation:

Distribute

2k + 8 - 3k < 14

Simplify

-k + 8 < 14

-k < 6

There is a rule that is the coefiicient is negative --> switch the symbol

k > 6

stiks02 [169]3 years ago
3 0

Answer:

Step-by-step explanation:

2k + 8 - 3k < 14

-k + 8 < 14

-k < 6

k > -6

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How do I construct bisectors, angles, &amp; segments?
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Answer:

Step-by-step explanation:

These come directly from my textbook, so I'm not sure if your teacher will accept this kind of work.

1. Angle construction:

Given an angle. construct an angle congruent to the given angle.

Given: Angle ABC

Construct: An angle congruent to angle ABC

Procedure:

1. Draw a ray. Label it ray RY.

2. Using B as center and any radius, draw an arc that intersects ray BA and ray BC. Label the points of intersection D and E, respectively.

3. Using R as center and the same radius as in Step 2, draw an arc intersecting ray RY. Label the arc XS, with S being the point where the arc intersects ray RY.

4. Using S as center and a radius equal to DE, draw an arc that intersects arc XS at a point Q.

5. Draw ray RQ.

Justification (for congruence): If you draw line segment DE and line segment QS, triangle DBE is congruent to triangle QRS (SSS postulate) Then angle QRS is congruent to angle ABC.

You can probably also Google videos if it's hard to imagine this. Sorry, construction is super hard to describe.

4 0
3 years ago
Find the equation of a line that is perpendicular to line g that contains (P, Q). coordinate plane with line g that passes throu
maw [93]

Answer:

y - Q =  -  \frac{1}{4}(x - P)

Step-by-step explanation:

Line g passes through (-2,6) and (-3,2).

The slope of line g is given by:

\frac{ y_2-y_1}{x_2-x_1}

Let's substitute the values to get:

\frac{2 - 6}{ - 3 -  - 2}= \frac{ - 4}{ - 1}  = 4

The equation that is perpendicular to line g will have a slope that is the negative reciprocal of 4.

i.e -1/4

If this line passes through (P,Q), then the equation is:

y - Q =  - \frac{1}{4} (x - P)

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There were a number of people at a conference. After 19 people went home, 23
Travka [436]
There were 42 people at the conference
5 0
3 years ago
Hi so could anyone please tell me how to solve this I’ve tried looking through my notes but I can’t find a question similar to t
neonofarm [45]

Answer:

    no solution

Step-by-step explanation:

There are no values of x that make the equation true.

6 0
3 years ago
Evaluate 3x² - 1 when x = 2.<br> A. 11<br> B. 35<br> C. 3<br> D. 5
Alexus [3.1K]

Answer:

35

Step-by-step explanation:

All you need to do is substitute!

(3x2)^2-1

6^2-1

36-1

= 35

Hope this helps!!

4 0
2 years ago
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