P^2=-3p+40 factor this problem

Mathematics

1 answer:

Marrrta [24]2 years ago

3 0

$p^2=-3p+40\\
p^2+3p-40=0\\
p^2+8p-5p-40=0\\
p(p+8)-5(p+8)=0\\
(p-5)(p+8)=0\\
p=5 \vee p=-8
$

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Please help with this!!! Im so confused, I will mark brainliest if right!! Explain

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Answer: Yes these triangles are similar

Step-by-step explanation:

First lets write down what we know just to make life easier

x=9

TL should be similar to CH

LY should be similar to KH

The angles should be equal due to SAS

So the first thing we know is true is the fact that they have equal angles. Now we have to find out if the sides are similar or if they change by the same ratio to the other. If TL is similar to CH and TL=25 and CH=10 what is the change in size or dilation. Division should do the trick so 25/10=2.5 so TY is greater than CH by a factor of 10. Which means that LY should also be greater than KH by a factor of 2.5. If we are told that x=9 than side LY or 4(9)-1=35 and KH 9+5=14

So side KH is 14 and LY is 35. Now to check if they are similar then KH should be greater by a factor of 2.5. If this is not true than the sides are not similar. 35/2.5=14

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Which of the following are solutions to the inequality below select all that apply

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<h3>Answer: n = -11</h3>

The other choices are false, so choice C is the only solution here.

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Explanation:

Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.

The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...

See the diagram below.

Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.

With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.

The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.