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True [87]
3 years ago
11

Two lines, A and B, are represented by the following equations:

Mathematics
1 answer:
liraira [26]3 years ago
4 0
D, because if u plug it in both equation, u will get the same solution.
y=x-1
2=3-1
2=2

y=-3x+11
2=-3(3)+11
2=-9+11
2=2

Hope this helps!
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Prove the 'rule of 9': an integer is divisible by 9 if and only if the sum of its integers is divisible by 9.
patriot [66]

Answer:

Rule of 9 : an integer is divisible by 9 if and only if the sum of its integers is divisible by 9.

Proof :

Let us consider a number x such that,

a=a_n......a_3a_2a_2

Where, a_0, a_1, a_2......,a_n are the the digits of the number x,

So, we can write,

x=a_0+a_1\times 10 + a_2\times 10^2 +a_3\times 10^3..........a_n\times 10^n

Let,

S=a_0+a_1+a_2+a_3+.......a_n

x-S=a_1(10-1)+a_2(10^2-1)+a_3(10^3-1)+.......a_n(10^n-1)

Since, a number is in the form of 10^k-1, where k is an positive integer, is always divisible by 9,

⇒ a_1(10-1), a_2(10^2-1), a_3(10^3-1),.......a_n(10^n-1) are divisible by 9.

⇒ x-S is divisible by 9,

⇒ If S is divisible by 9 ⇒ x must divisible by 9,

Or if x is divisible by 9 ⇒ S must divisible by 9.

Hence, proved...

7 0
3 years ago
A rectangular doormat is 21 inches long and has an area of 714 square inches. Find its width. Is the doormat wide enough to cove
Andre45 [30]

Answer:

34; 34 inches is not long enough

Step-by-step explanation:

A doormat is the shape of a rectangle and its area uses A=l*w. If the area is 714 and its length is 21, then 714 = 21*w. Solve for w.

714=21w

714/21= 21w/21

34 = w

6 0
4 years ago
Archie earns $4 a week for doing choirs. How much will Archie warm in 2 months if there are four weeks in each month?
siniylev [52]

Hello! The answer for your question would be $32. This is because if Archie earns $4 a week and there are 4 weeks in each month, and he works for 2 months, then 4*4 for one week would equal $16. This times 2 would equal $32 therefore, Archie earned $32 dollars for 2 months of doing chores.

4 0
4 years ago
Select all transformations that maintain a shape's congruency.
insens350 [35]
Explain it better /$&$&$&$&
5 0
3 years ago
Which equation could represent the relationship shown in the scatter plot?
Allisa [31]
Y = mx + b, where m is the slope, and b is the y-intercept. If we were to consider a line of best fit that would represent all these points with a linear line, it'd cross the y-axis with a y-value of 10, so we can fill in y = mx + b to y = mx + 10. Now, it runs down from left to right, so we know the slope must be negative. The only equation that fits this description is y= -3/4x + 10
4 0
4 years ago
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