To find the slope, you should rearrange the equation into slope-intercept form, ie. y = mx + c, where m is the gradient.
y - 9 = 15(x - 5)
y = 15(x - 5) + 9 (Add 9 to each side)
y = 15x - 15*5 + 9 (Expand 15(x - 5))
y = 15x - 75 + 9
y = 15x - 66
Therefor, the slope of the equation is 15.
Answer:
4√5
Step-by-step explanation:
c = √a² + b²
c = √4² + 8²
c = √(16 + 64)
c = √80
c = 8.94427 (rounded to nearest 1/100000)
c = 4√5
Answer: Yes
Step-by-step explanation:
75533980 ÷ 4 = 18883495
Inverse operation
4 x 18883495 = 75533980
Answer:
Son's Age: 11
Mary's Age: 33
Step-by-step explanation:
Let set Mary and her son as variables,
M = Mary's age
S = Mary's son age
<u>Breakdown:</u>
"Mary is three times as old as her son"
M = 3S
"In <em>12 years</em>, Mary's age will be one less than <u>twice her son's</u> age"
M <em>+ 12</em> = <u>2</u>(S <em>+ 12</em>) - 1
we add 12 to both sides as it will be in 12 years for both
We know that M = 3S, so we plug this in
3S + 12 = 2(S + 12) - 1
Now solve for <em>S (son's age),</em>
3S + 12 - 12 = 2(S + 12) - 1 - 12
3S = 2(S + 12) - 13
3S = 2S + 24 - 13
3S - 2S = 2S - 2S + 24 - 13
S = 24 - 13
S = 11
To find <u>Mary age</u>, plug in her son age ,
M = 3S
M = 3(11)
M = 33
Learn more about Substitution here: brainly.com/question/22340165
