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3 years ago

15

Could someone help me with this word problem? I have no idea how to solve it. Also, please don't give me the answer.

1 answer:

miss Akunina [59]3 years ago

6 0

He spent 5/6 of his life in america.

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Write the expression in factored form. 81m^2-49

ivolga24 [154]

We can use the difference of two squares, which is:

x^2 + y^2 = (x-y)(x+y)

So,

(9m-7)(9m+7)

Hope this helps!

5 0

2 years 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

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

Thus,

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

8 0

3 years ago

1/4 (dot) 3/5 simplifily

stich3 [128]

Answer: 1/20 (fraction) or 0.05 (decimal)

Step-by-step explanation:

first i like to make them a decimal so its easier.

1/4 = 0.25

1/5 = 0.2

multiply 0.25 and 0.2 = 0.05

make 0.05 a fraction

1/20

simplify. (it's already in its simplest form)

the answer is 1/20 as a fraction or 0.05 as a decimal.

(i dont know which one ur teacher wants u to do fraction or decimal?)

3 0

2 years ago

Could a polyhedron exist with the given number of faces, vertices, and edges? Drag yes or no to each combination

DanielleElmas [232]

Answer:

(a) No

(b) No

(c) No

Step-by-step explanation:

Given

See attachment

Required

Select Yes or No for each

To do this, we make use of Euler's formula

$F + V - E = 2$

Where

$F \to Faces; V \to Vertices; E \to Edges$

$(a):\ Faces = 8; Vertices = 12; Edges = 6$

Using: $F + V - E = 2$

$8 + 12 - 6 = 2$

$14 = 2$

<em>The above equality is false. Hence, (a) does not exist</em>

$(b):\ Faces = 6; Vertices = 6; Edges = 4$

Using: $F + V - E = 2$

$6 + 6 - 4 = 2$

$8 = 2$

<em>The above equality is false. Hence, (b) does not exist</em>

<em />

<em /> $(c):\ Faces = 20; Vertices = 30; Edges = 12$ <em />

Using: $F + V - E = 2$

$20 + 30 - 12 = 2$

$38 = 2$

<em>The above equality is false. Hence, (c) does not exist</em>

5 0

2 years ago

Read 2 more answers

Jacqueline. Harry, and Stanley bought a pizza pie to share for dinner. Harry ate

Pepsi [2]

Answer:

1/6

Step-by-step explanation:

Harry 1x1/2=1/2

Jacqueline 1/2x1/2=1/4

Stanley 1/3x1/4=1/12

1-1/2-1/4-1/12=

12/12-6/12-3/12-1/12=

2/12 or 1/6

6 0

2 years ago