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3 years ago

In Exercises 10–14, use the diagram to determine whether you can assume the statement.

Mathematics

1 answer:

lukranit [14]3 years ago

7 0

Answer:

it depends on what he means

Step-by-step explanation:

The friend needs to clarify the meaning of "if three lines intersect each other." If Line A intersects lines B and C, there will be two points of intersection, one at line B and one at line C.

If those lines are all in the same plane, and B and C are not parallel, so that line B intersects line C, then there will be a total of three points of intersection.

If the point of intersection of B and C is also the point where line A intersects them, then there will be only one point of intersection.

So, if the meaning is "if there are three non-parallel lines in the same plane, and each intersects the other two", then the Line Intersection Postulate guarantees there will be 1 or 3 points of intersection.

If the meaning is "if there are three lines not necessarily in the same plane, and one intersects the other two (but those two don't intersect each other)", then there may be 1 or 2 points of intersection (allowing that all lines may intersect at the same point).

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Solve the following system of equations: −2x + y = 1 −4x + y = −1

Katyanochek1 [597]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}-2x+y=1\\-4x+y=-1&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-2x+y=1\\4x-y=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=2\qquad\text{divide both sides by 2}\\.\qquad x=1\\\\\text{Put it to the first equation:}\\\\-2(1)+y=1\\-2+y=1\qquad\text{add 2 to both sides}\\y=3$

5 0

3 years ago

The equation 24x2+25x−47 ax−2 =−8x−3− 53 ax−2 is true for all values of x≠ 2 a , where a is a constant. What is the value of a?

lesantik [10]

I swear if it’s wrong I’m sorry ok but it’s 3 for me

8 0

3 years ago

Read 2 more answers

P-21=34 P=34-21 P=13<br>What is the value of p?<br>

vredina [299]

Simplifying

P + -21 + -21 = 34 + -21

-21 + -21 + P = 34 + -21

Combine like terms: -21 + -21 = -42

-42 + P = 34 + -21

Combine like terms: 34 + -21 = 13

-42 + P = 13

Solving

-42 + P = 13

Solving for variable 'P'.

Move all terms containing P to the left, all other terms to the right.

Add '42' to each side of the equation.

-42 + 42 + P = 13 + 42

Combine like terms: -42 + 42 = 0

0 + P = 13 + 42

P = 13 + 42

Combine like terms: 13 + 42 = 55

P = 55

Simplifying

P = 55

3 0

3 years ago

What is the value of x

nordsb [41]

Median is half of add the sum ofthe base and first side
17+5x-14=3+5x
divide it by 2
3+5x ÷2=median
(3+5x)/2=x+12
3+5x=2x+24
3x=21
x=7

Answer is D=7

8 0

3 years ago

Talia is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of

yan [13]

Answer:

Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Step-by-step explanation:

In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:

Area of poster = 4 square feet

Area of poster = (Length)²

4 = (Length)²

∴ Length = √(4)

Length of poster = 2 Ft

Volume of box = 14 cubic feet

Volume of box = (Length)³

14 = (Length)³

∴ Length = ∛(14)

Length = 2.41 Ft

∴ Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

3 0

3 years ago