Answer:
7 is your answer
Step-by-step explanation:
Note the slope-intercept form:
y = slope(x) + y-intercept (or y = mx + b)
b is the y-intercept.
In this case, 7 is in the place of b, so 7 is your answer
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Answer:
54712
Step-by-step explanation:
Starting with 547120, move the decimal point one place to the left, obtaining 54712. (Matches last answer choice)
49*4=196+1=197/4
<span>8*3=24+3=27/8 </span>
<span>then make the denominator the same</span>
<span>multiply 197*2 and 4*2 = 394/8 </span>
<span>then 394/8 +27/8 =421/8 </span>
<span>u can either leave it here or in decimal form which would be 52.625 or in mixed numbers-52 5/8</span>
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:
LO/LP = LM/LN
22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
</span>
Cross-multiplying:
30x + 360 = 22x + 374
Isolating x to one side of the equation by subtracting 22x and 360 from both sides:
30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75
Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75
Therefore the value of LP is 13.75 in.