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3 years ago

3. Use the diagram to answer the following questions.

Mathematics

1 answer:

Nuetrik [128]3 years ago

4 0

Answer:

See explanation

Step-by-step explanation:

A. There are 8 points: A, B, C, D, E, F, G and H

B. There are 9 lines in the figure: AB, BC, AC, DE, DF, EF, BE, AD and CF

C. There are 5 planes in the figure: ABC, DEF, ABED, ACFD and BEFC

D. Three points are collinear if they lie on the same line. Collinear points are D,G and F or C,H and F

E. Coplanar points are those which lie in the same plane. Coplanar points are B, E, F and C or A, C, F and D or A, B, E and D or other combinations of four points lying in the same plane

I. Planes ABC and ABE intersect by a line AB

G. Planes BCH and DEF intersect by a line EF

H. Lines AD and DF intersect at a point D

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Which math function describes the following situation?

MissTica

This is the concept of inequality;
We are told that the distance a car travels depends on how full gas tank is, this means that the car will travel until the point when gasoline is finished. Thus,
This mean that if the if the distance is given by the function f(x), x will be the gasoline since it is the dependent variable, liters this in other words can be written as (if the tank holds 89 ):

f(x)=distance(gasoline)<89

thus the correct answer will be:

B] Distance (amount of gasoline) < 89

4 0

3 years ago

Please help with 22. and 23.

kirill115 [55]

Answer:

22) y=1/4x-3/4

23) y=-1/3x-9

Step-by-step explanation:

22 ) Using the rise/run strategy, we can find the slope. From (-1,-1) you go up 1 unit to reach the same level as (3,0), and go right 4 to reach (3,0). This means your rise/run is 1/4, which is also your slope. Now to find the y-intercept, we can use the equation format y=mx+b. m is your slope, which we have, and b is the y intercept. With y and x, we can substitute in a point we already know, for example (-1,-1) as (x,y). When everything we know is substituted in, we get -1=(1/4)(-1)+b. According to PEMDAS, we should now multiply 1/4 and -1 to get (-1/4). Now our equation is -1=-1/4+b. To isolate B, we need to add 1/4 on both sides. As a result, you'll get -3/4. Your y intercept is -3/4. Thus, the final equation is y=1/4x-3/4.

23) This question is a lot more straight forward than question 22. In this question, you're already given everything in the equation to substitute everything in. Like I said before, the format for a linear equation is y=mx+b where m is your slope and b is your y intercept. This question already gives you both the slope and y intercept, so you can just fill it in. (m = -1/3, b= -9) Thus, you'll get y=-1/3x-9.

8 0

3 years ago

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. 2a2 − 30a + 108 = 0

Liono4ka [1.6K]

The quadratic formula is
$- b + - \sqrt{ {b}^{2} - 4ac } \div 2a$
A = 2
B = -30
C = 108
plug in the values for the equation and you'll get what the factors are

-(-30)+√(-30)²-4(2)(108))/2(2)

and

-(-30)-√(-30)²-4(2)(108))/2(2)
This will give you your A values
and just round the answers from both of the above equations

8 0

3 years ago

Read 2 more answers

Which term of the sequence 114,109,104,...is first negative term

Brrunno [24]

The answer is negative 1. This is because the sequence follows a pattern of the final number being 4, then 9, then 4 again. near the end of the sequence, you will end at the term of positive 4, which when 5 is subtracted from it (the pattern is -5), the first negative term is -1.

8 0

3 years ago

Someone help whats the work for what is 107% of 150

Otrada [13]

Answer:

If it's 107% of 50 the answer would be 53.5

If it's 107% more than 50 it would be 103.5

Step-by-step explanation:

107% of 50 is 53.5

50 × 107% = 53.5

+50

--------

103.5

5 0

3 years ago

Read 2 more answers