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3 years ago

Subtract the two expressions. 2b + 4 from -8b - 12

Mathematics

2 answers:

Sedbober [7]3 years ago

4 0

(2b+4)-(-8b-12) = 10b - 8

Artyom0805 [142]3 years ago

3 0

=2b+4+8b+12Combine Like Terms:=2b+4+8b+12=(2b+8b)+(4+12)=10b+16Answer:=10b+16

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1 year ago

Given: △ACM, m∠C=90°, CP ⊥ AM

larisa86 [58]

Answer: The answer is $3\dfrac{4}{7}.$

Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

$AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.$

Now,

$AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)$

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

$CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)$

Comparing equations (A) and (B), we have

$5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.$

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$AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.$

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3 years ago

Will give brainliest to first correct answer! find missing length

Rudiy27

Answer: 6

Step-by-step explanation:

They are similar triangles so they have proportionality

For the small triangle the side is 2 and the hypoteneuse is 4, for the large triangle the side is 5 so the entire hypoteneuse is 10. 10-4 = 6 which is the missing side

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2 years ago

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