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3 years ago

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What is the x-intercept of the line represented by the following equation? 5x-3y=-2

1 answer:

Anastasy [175]3 years ago

4 0

5x-3(0)=-2
5x=-2
X=-2 over 5 fractions mode

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Question 2<br> Which product is greater than 1?

PIT_PIT [208]

Answer:

anything greater than 1 getting multiplied

Step-by-step explanation:

7 0

2 years ago

The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago

If the length and width of a rectangle are tripled, the area of that rectangle will increase by what percentage? A) 9% B) 90% C)

shepuryov [24]

X*Y

3X*3Y =9XY

9XY/XY = 9
9*100%= 900%

7 0

3 years ago

Tell whether the sequence is arithmetic if it is identify the common difference -9,-17,-26,-33

aleksklad [387]

No it is not, there is no common difference. <span />

8 0

3 years ago

Read 2 more answers

What are the answers for the chart in number 4,5,6

svetoff [14.1K]

#4(1)=-1. (2)=5. (3)=14. (4)=26 srry but all i know hoped i helped

[how i did]

the first one i did 3×-5+14 which equals -1
and the second one is the same two 3×-3+14=5 you just add the the number on B

7 0

3 years ago