The equation of the line is y = -11x + 232
<h3>How to determine the equation?</h3>
The given parameters are:
Slope (m)= -11
Point (x1, y1) = (31, -109)
The linear equation is then calculated as:
y = m(x - x1) + y1
This gives
y = -11(x - 31) - 109
Evaluate the product
y = -11x + 341 - 109
Evaluate the like terms
y = -11x + 232
Hence, the equation of the line is y = -11x + 232
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Answer:
The money was left untouched for 2 years and 6 months or just 2.5 years
Step-by-step explanation:
In this question, we are asked to calculate the time taken for an amount deposited to earn a certain amount of interest.
Mathematically, simple interest can be calculated using the formula;
I = PRT/100
where I is the interest accrued which is 3696.88 - 3,500 = 196.88
P is the principal which is the amount deposited = 3,500 according to the question
R is the rate which is 2.25% according to the question
T is the time which we are to find
we can rearrange the formula making T the subject and we obtain the following;
T = 100I/PR
substituting the values listed above we have;
T = (100 * 196.88)/(3500 * 2.25)
T = 19688/7875
T = 2.5 years or 2 years 6 months
Answer:
y = -x + 2.
or
x + y - 2 = 0 (Standard form).
Step-by-step explanation:
Its slope (m) is -1 and y intercept (c) is at y = 2.
y = mx + c
So it's:
y = -1x + 2
Standard form is:
x + y - 2 = 0.
I'm not sure what you mean by General Form.
Answer:
Step-by-step explanation:
1. the measure for HJ you can already see, start from h and draw a line to J. The measure shows 63 degrees.
2. start at F and draw a line to G first. the measure shows 65 degrees. Now continue the line from where you stopped at G, to H. There's no measure but you can see it is in a semicircle. A semicircle is 180 degrees andthe other two angles are 63 and 65.
So...
180=63+65+GH
subtract to get GH
180-63-65= 52
so the measure GH is 52 degrees. The full measure you are trying to find is FGH thought. So ad the 65 and the 52.
FGH =117 degrees.
3. The meaure is CDE. CD as you can see is a right angles, so 90 degrees. But there is no measure for DE. If you look to the angle vertical from DE which is BA. It measures 40 degrees. DE and BA are vertical so they are congruent. If DE equals 40 and CD equals 90, put them together and you get 130.
CDE= 130 degrees
4. Next measure is BCD. We already know CD is a 90 degree angle but BC is blank. You can see the measure BCD is in a semi circle. A semicircle equals 180, CD equals 90, and BA equals 40
so...
180= 90+40+BC
so subtract
180-90-40= 50
BC =50
so add BC=50 and CD=90. SO, BCD is 140 degrees.
5.The angle LMN is next. MN is 30 but LM is blank. LMN is in a semi circle.
A semicircle is 180 degrees.
so...
180=105+30+LM
subtract
180-105-30=45
LM = 45
Add LM=45 and MN=30
LMN is 75 degrees.
6.The last angle is LNP
If you look at it MP is a semi circle, so 180 degrees. And LM is 45 from our last question. so 180 +45=225
LNP=225
hope this helps
Answer:
25/14
Step-by-step explanation:
