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BARSIC [14]
2 years ago
6

Which number line shows the solution to the inequality -3x - 5 < -2 ?

Mathematics
1 answer:
Inessa05 [86]2 years ago
3 0
The answer to his is A
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a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th
Neko [114]

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

<u>A positive number is 7 times another number:</u>

  • a = 7b

<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>

  • a+3 = 5/2 × (b +3)

<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>

  • 7b + 3 = 5/2 × (b +3)               ⇒ multiplying both sides by 2
  • 14b + 6 = 5b + 15                    ⇒ collecting like terms
  • 14b - 5b = 15 - 6
  • 9b = 9
  • b = 1                                        ⇒ solved for b

<u>Then, finding a:</u>

  • a= 7b
  • a=7*1
  • a= 7                                        ⇒ solved for a

<u>So the numbers are</u> 7 and 1

3 0
3 years ago
The corners of the vertices of CDE are c(1,4) d(3,7) e(7,4). if a triangle is reflected over the line y=3 what are the coordinat
skelet666 [1.2K]

The answer is (3,-1)

7 0
3 years ago
Can someone please help me with this question about given two points?Please help ASAP!!! :(
KonstantinChe [14]

Answer:

<em>The order of subtraction is not important in any of the coordinates</em>

Step-by-step explanation:

Distance Between Two Points

Given two points (x1,y2) (x2,y2), the distance between them is given by the formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The difference between both coordinates is squared, then added, and finally extracted the square root.

Based on the principle that

a*a=a^2

and also

(-a)(-a)=a^2

We can notice it doesn't matter the sign of a the square of a is always positive. If we had subtracted in the opposite way, the distance would have resulted in exactly the same. In other words, the above formula is exactly the same as

d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

As seen, it applies for both coordinates

6 0
2 years ago
If F(X)= 6X-4 and F(A)= 26 what is the value of a? Explain
sammy [17]
Easy if you know the formula

all this means is that your x value is a, and when it is, will give you the value 26.

f(a) = 6a - 4 = 26

6a = 30
a = 5
3 0
2 years ago
Read 2 more answers
Find the equation to the line below.<br> 1<br> [?<br> Х<br> y =
kap26 [50]

Answer:

y= -4/3x

Step-by-step explanation:

hope this helps :)

3 0
2 years ago
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