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3 years ago

What is the mid point of the x-intercepts of f(x)=(x-2)(x-4)?

Mathematics

2 answers:

VMariaS [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Oxana [17]3 years ago

3 0

Answer:

The x-int.s are (2, 0) and (4, 0) so the midpoint will be (3, 0).

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Dvinal [7]

Answer:

0 and -2

Step-by-step explanation:

try that that should work for you even if you have a dad that dose not trust you

5 0

3 years ago

The angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees. How much higher will the to

Sav [38]

Answer:

44.73 m

Step-by-step explanation:

Given that the angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees.

Using trigonometry ratio, the height of the tower can be calculated by

Tan Ø = height / base

Tan 25 = height / 120

Make height the subject of formula

Height = 120 × tan 25

Height = 55.96 m

How much higher will the tower need to be raised so that its angle of elevation from the same point will be 40 degrees?

Using the same formula to calculate the new height.

Tan 40 = new height / base

Tan 40 = new height / 120

Make the new height the subject of the formula.

New height = 120 × tan 40

New height = 100.69 m

Increase in height = new height - height

Increase in height = 100.69 - 55.96

Increase in height = 44.73m

Therefore, the tower will need 44.73m to be raised so that its angle of elevation from the same point will be 40 degrees.

4 0

3 years ago

What is the maximum number of possible solutions for the system shown below?

vekshin1

Answer:

B: 4 solutions

Step-by-step explanation:

Combining the two equations results in 2x² = 52, or x² = 26.

This equation has two solutions: x = ±√26.

As before, x² = 26. If we substitute 26 for x² in the 1st equation, we get:

26 - 4y² = 16, or 4y² = 10, or y = ±√5/2. Again: two solutions.

If we take x to be +√26, y could be ±√(5/2).

Check: is ( √26, √(5/2) ) a solution of the system?

Subbing these values into the first equation, we get:

26 - 4(5/2) = 16. Is this true?

Then 10 = 10. Yes.

Through three more checks, we find that this system has FOUR solutions.

5 0

3 years ago

Solve for x, y, and z

zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

$x=\frac{8+3y-4z}{2}...(4)$

Put equation (4) into equation (2) and (3)

$3(\frac{8+3y-4z}{2})+4y-5z=-4$

Multiply through by;

$3(8+3y-4z)+8y-10z=-8$

Expand;

$24+9y-12z+8y-10z=-8$

Simplify;

$17y-22z=-32...(5)$

Equation (4) in (3)

$4(\frac{8+3y-4z}{2})-5y+6z=12$

$2(8+3y-4z)-5y+6z=12$

$16+6y-8z-5y+6z=12$

$y-2z=-4$

$y=2z-4...(6)$

Put equation (6) into equation (5)

$17(2z-4)-22z=-32$

$34z-68-22z=-32$

$34z-22z=-32+68$

$12z=36$

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

$x=\frac{8+3(2)-4(3)}{2}=1$

The solution is x=1,y=2,z=3

3 0

3 years ago

Translate and solve 5 greater than m is no more than 65

Nadusha1986 [10]

Answer:

m ≤ 60 (look at the picture)

Step-by-step explanation:

<em>5 greater than m is no more than 65</em>

m + 5 ≤ 65 <em>subtract 5 from both sides</em>

m + 5 - 5 ≤ 65 - 5

m ≤ 60

6 0

3 years ago

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