Answer:
(-1, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
10x + 6y = 14
-x - 6y = -23
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Add 2 equations together: 9x = -9
- Divide 9 on both sides: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: -x - 6y = -23
- Substitute in <em>x</em>: -(-1) - 6y = -23
- Multiply: 1 - 6y = -23
- Subtract 1 on both sides: -6y = -24
- Divide -6 on both sides: y = 4
37.50 -25.00= 12.50 so Luisa makes 12.50 more a month than Maria. Divide 100/12.5 = 8. It will take Maria 8 months to be exactly $100 ahead of Luisa.
Here,
y=mx+c
the slope of the line 6x+4y= -16 is -20.
if the two lines are perpendicular, the slope of 1st line * slope of second line=-1
the slope of the 2nd line is -1/2
y-y1=m(x-x1)
y-13=-1/2(x- -18)
when you solve, you get the equation of the line as 2y+x=50
In basic geometry, if two geometry objects intersect at right angles (90 degrees or π / 2 radians), they are vertical.
If two lines intersect at right angles, the line is perpendicular to another line. Explicitly (1) if two lines intersect, the first line is perpendicular to the second line. (2) At the intersection, the straight line angle on one side of the first line is cut by the second line into two congruent angles. Verticality can be shown as symmetric. That is, if the first line is perpendicular to the second line, then the second line is also perpendicular to the first line. Therefore, two straight lines can be said to be perpendicular (to each other) without specifying the order.
Learn more about Perpendicular here: brainly.com/question/7098341
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The GCE of 10 and 35 is 5
1-
Given length is 91 cm
1 cm = 0.3937 inch
so, 91 cm = 91* 0.3937 = 35.826 inches
1 day = 24 hours
In 24 hours the bamboo grows = 35.826 inches
In one hour it will grow = 
= 1.492 inches per hour. Hence the bamboo grows 1.492 inches per hour.
2-
We have to convert hours and seconds in minutes.
1 hour = 60 minutes
so 10 hours = 60 * 10 = 600 minutes.
60 seconds = 1 minute
so 24 seconds =
= 0.4 minutes.
Now we have been given the total time as 10 hours, 39 minutes and 24 seconds
So adding all values in minutes, we get
600 + 39 + 0.4 = 639.4 minutes
So Saturn takes 639.4 minutes to complete one rotation
3-
Given equation is 0.4(30h)+30h
0.4(30h) represents the amount of tax Kimberly has to pay.