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vagabundo [1.1K]
3 years ago
10

Solve the equation log3(x+24)+log3 x=4

Mathematics
1 answer:
fredd [130]3 years ago
7 0
Log_3(x(x + 24) = 4

log_3(x^2 + 24x) = 4

3^4 = (x^2 + 24x)

81 = x^2 + 24x

x^2 + 24x - 81 = 0

Continue from here.
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M∠LON = 7x-92 and m∠MON = 6x+12
Tomtit [17]

Answer:

M∠LOM  =  \boxed{48}

Step-by-step explanation:

M∠LOM + m∠MON = 180 \\ 7x-92   + 6x+12 = 180 \\ 13x - 80 = 180 \\ 13x = 180  + 80 \\ 13x = 260 \\ \boxed{ x = 20} \\ (7x - 92 )= 140 - 92 =  \boxed{48} \\

5 0
2 years ago
Can someone help me with this?
Ann [662]
So first you have to add all of the sides and then you have to multiply 
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3 0
3 years ago
Write the equation described in each case.
Lapatulllka [165]

Answer:

The Answer is: y = -1/4x + 6

Step-by-step explanation:

Given point: (4, 5)

Given equation: y = -1/4x - 11

Slope: m = -1/4, a parallel line will have the same slope.

Start with the point slope form and solve for y:

y - y1 = m(x - x1)

y - 5 = -1/4(x - 4)

y - 5 = -1/4x + 1

y = -1/4x + 1 + 5

y = -1/4x + 6

Proof:

f(x) = -1/4x + 6

f(4) = -1/4(4) + 6

= -1 + 6 = 5, giving (4, 5)

Hope this helps!! Have an Awesome day!!! :-)

4 0
3 years ago
If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3
Stolb23 [73]
I don't see a drawing of the quadrilaterals, so I don't know what the perimeter of quadrilateral P is. But whatever the perimeter of P is, Q will be 1/3 of that. Perimeter is a length, so even though it may pertain to a 2-dimensional object, it is still a 1-dimensional, linear measure. When two objects are similar (same shape, but scaled up or down by a scale factor), all corresponding linear measures have the same scale factor.

If you were asked about area or volume, that would be a different matter. In the case of area, you would square the scale factor, and in the case of volume, you would cube the scale factor.
7 0
3 years ago
Gompers is trying to cut a round pizza into the largest possible number of pieces with 3 straight cuts of the knife. He can't r
anzhelika [568]
<span>The first two cuts can intersect at only 1 pt regardless of where they are placed. So 4 pieces there. The last cut can only intersect each other cut a 1 pt, regardless of placement. As long as the intersection is different than the first intersection, then you will have 7 pieces.</span>
3 0
3 years ago
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