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3 years ago

What is the value of x?

Mathematics

2 answers:

user100 [1]3 years ago

7 0

Answer:

1/2

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

Inga [223]3 years ago

3 0

Answer: x = 1/2

Step-by-step explanation too lazy to write that

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Consider the following system of equations. -10x2-10y2=-300 5x2+5y2=150 Which statement describes why the system has infinite so

scoundrel [369]

Answer:

The equations represent circles that result in the same graph.

Step-by-step explanation:

we have

$-10x^{2}-10y^{2}=-300$

Divide by -10 both sides

$x^{2}+y^{2}=30$ -----> equation A

This is the equation of a circle centered at origin with radius $r=\sqrt{30} \ units$

and

$5x^{2}+5y^{2}=150$

Divide by 5 both sides

$x^{2}+y^{2}=30$ -----> equation B

This is the equation of a circle centered at origin with radius $r=\sqrt{30} \ units$

equation A and equation B are equal

therefore

The system has infinite solutions, because the equations represent circles that result in the same graph.

4 0

3 years ago

1. Write an equation in point-slope form of the line that that passes through the point (4,-5) and has a

Aleks04 [339]

Answer:

y + 5 = (3/2)(x - 4)

Step-by-step explanation:

The point-slope formula is y - k = m(x - h). We get h and k from the given point: h = 4 and k = -5, and m from the given slope: 3/2. Then we have:

y + 5 = (3/2)(x - 4)

7 0

2 years ago

john and ted have a reputation of being late to events. If john is late 20% of the time and ted is late 40% of the time what is

oee [108]

Answer:

The probability that they will both be on time is 12/25.

Step-by-step explanation:

John is late 20% of the time.

So, he is prompt 80% of the time.

Ted is late 40% of the time.

So, he is prompt 60% of the time.

Since, both the events are independent,

p(John be on time ∩ Ted be on time) = p(John be on time) × p(Ted be on time)

$= \frac{80}{100}$ × $\frac{60}{100}$

= 0.80 × 0.60

= 0.48 or 48%

$=\frac{12}{25}$

Hence, the probability that they will both be on time is 12/25.

3 0

3 years ago

What is the distance between the points (2,10) and (-6, 4) on the coordinate

stellarik [79]

Answer:

The distance between the given points (2,10) and (-6, 4) on the coordinate plane is 10units

Therefore distance s=10 units

Step-by-step explanation:

Given points are (2,10) and (-6, 4) on the coordinate plane

To distance between the given points :

The distance formula is $s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ units

Let $(x_1,y_1)$ , $(x_2,y_2)$ be the given points (2,10) and (-6, 4) respectively

Now substituting the values in the distance formula we get

$s=\sqrt{(-6-2)^2+(4-10)^2}$

$=\sqrt{(-8)^2+(-6)^2}$

$=\sqrt{8^2+6^2}$

$=\sqrt{64+36}$

$=\sqrt{100}$

$=10$

Therefore s=10 units

The distance between the given points (2,10) and (-6, 4) on the coordinate plane is 10units

5 0

3 years ago

−4x+7y+5= 0x−3y=−5<br><br>How many solutions does the system have?

seraphim [82]

{-4x+7y+5=-5
{0x-3y=-5 Solve the equation.

{-4x+7y+5=-5
{y=5/3 Substitute the value of y.

-4x+7(5/3)+5=-5 Plug in and solve.

x=65/12 You should get this answer.

Therefore: (x,y) = (65/12,5/3)

6 0

3 years ago