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Vlada [557]
3 years ago
9

Peter hired a cleaning company to clean his house. The cleaning company charges a fixed fee $15 plus $17 per hour to clean a hou

se
Mathematics
1 answer:
Mumz [18]3 years ago
6 0
What’s the question?
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The answer, and work shown.
hoa [83]
Slope= 1/2
Y intercept= (0,2)

Explanation:
Slope-intercept form is y=mx+b
-2x+4y=8
-8-2x=-4y
Divide by -4
2+1/2x=y

Y=1/2x+2
5 0
3 years ago
Write an equation in​ point-slope form of the line that passes through the given​ points, then write the equation in​ slope-inte
frosja888 [35]

As we go from (-6,6) to (9,1), x increases by 15 and y decreases by 5.  Thus, the slope of this line is m = rise / run = -5/15, or m = -1/3.

Point-slope form:  y-6 = (-1/3)(x+6), using data from (-6,6).  

Slope-intercept form:  starting with y = mx + b, substit. -6 for x, 6 for y and -1/3 for m:

6 = (-1/3)(-6) + b, or

6 = 2 + b.  Then b = 4, and the equation in slope-intercept form is

y = (-1/3)x + 4.

8 0
3 years ago
How should the decimal point in 52.48 be moved to determine the product 52.48×105 ?
tensa zangetsu [6.8K]

Answer:

5510.4

Step-by-step explanation:

4 0
3 years ago
Identify the three similar right triangles in the given diagram.
irga5000 [103]

Answer:

B. ΔABD, ΔADC, ΔDBC

Step-by-step explanation

Step -1 In ΔABD and ΔADC (from figure).

∠DAB=∠CAD (common in both triangles) ,

∠DBA=∠CDA =90 degree, and

∠BDA=∠DCA (rest angle of the two triangles).

therefore ΔABD similar to ΔADC (by AAA similarity theorem).

Step -2 In ΔDBC and ΔADC (from figure).

∠DCB=∠ACD (common in both triangles) ,

∠DBC=∠ADC =90 degree, and

∠CDB=∠CAD (rest angle of the two triangles).

therefore ΔDBC similar to ΔADC (by AAA similarity theorem).

Step -3 In ΔABD and ΔDBC (from figure).

∠BDA=∠BCD (because , ∠ACD=ADB from stap-1 and ∠ACD=∠BCD from figure) ,

∠DBA=∠CBD =90 degree, and

∠BAC=∠BDC (rest angle of the two triangles).

therefore ΔABD similar to ΔDBC (by AAA similarity theorem).

In the above step- ΔABD similar to ΔADC, ΔDBC similar to ΔADC and ΔABD similar to ΔDBC.

Hence ΔABD, ΔADC, ΔDBC similar to each other in the given figure.

4 0
3 years ago
4 Gears A and B turn together. Gear A turns 20 times when
aleksandr82 [10.1K]

Answer:

  • 90 turns

Step-by-step explanation:

<u>Ratio of turns</u>

  • A/B = 20/30 = 2/3

<u>If A = 60 then the ratio is</u>

  • 60/B = 2/3 ⇒ B = 60*3/2 = 90
5 0
2 years ago
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