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3 years ago

The sum of two numbers is 3. Their difference is -5. What are the two numbers?

1 answer:

5 0

X + y = 3
x - y = -5

We can solve using substitution
x + y = 3
subtract x to isolate y
y = 3 - x
substitute it into the second expression
x - y = -5
x - 3 + x = -5
combine like terms
2x - 3 = -5
add 3 to both sides
2x = -2
divide both sides by 2
x = -1

now to find y

x + y = 3
-1 + y = 3
add 1 to both sides
y = 4

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2 years ago

The endpoints of RS are R(–5, 12) and S(4, –6). What are the coordinates of point T, which divides RS into a 4:5 ratio?

Ksivusya [100]

Answer:

Option 2 is correct that is (-1,4)

Step-by-step explanation:

We will use the section formula to find the coordinates of T

Formula is $(x,y)=\frac{m_1x_2+m_2x_1}{m_1+m_2},\frac{m_1y_2+m_2y_1}{m_1+m_2}$

Here, $m_1=4,m_2=5,x_1=-5,y_1=12,x_2=4,y_2=-6$

On substituting the values in the formula we get

$(x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}$

$\Rightarrow (x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}$

$\Rightarrow (x,y)=\frac{16-25}{9},\frac{-24+60}{9}$

$\Rightarrow (x,y)=\frac{-9}{9},\frac{36}{9}$

$\Rightarrow (x,y)=(-1,4)$

Therefore, option 2 is correct that is (-1,4)

4 0

3 years ago

Read 2 more answers

What is equivalent to 4 2/3

Svet_ta [14]

8
46
is equivalent to 4
23
because 4 x 2 = 8 and 23 x 2 = 46
12
69
is equivalent to 4
23
because 4 x 3 = 12 and 23 x 3 = 69
16
92
is equivalent to 4
23
because 4 x 4 = 16 and 23 x 4 = 92

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3 years ago

A test has 20 questions. If peter gets 80% correct, how many questions did peter missed?

Umnica [9.8K]

16 because if you put 16 into a percentage it's 80. 16 divide 20 times 100 equal 80

8 0

2 years ago

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Park two has 12 more benches than Park one. If 2 benches were transferred from Park two to Park one, then Park two would have 2

marta [7]

Answer:

There were 6 benches in park 1 and 18 benches in park 2.

Step-by-step explanation:

Let x be the no of benches in Park 1 and y in park 2.

Given that there are 12 more benches in park 2 than 1

Writing this in equation form, we have y = x+12 ... i

Next is if 2 benches were transferred from park 2 to park 1, then we have

x+2 in park 1 and y-2 in park 2.

Given that y-2 = twice that of x+2

Or y-2 = 2x+4 ... ii

Rewrite by adding 2 to both sides of equation ii.

y = 2x+6 ... iii

i-iii gives 0 = -x+6

Or x =6

Substitute in i, to have y = 6+12 = 18

Verify:

Original benches 6 and 18.

18 = 6+12 hence I condition is satisfied

18-2 = 2(6+2)

II is also satisfied.

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2 years ago

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