Solve 2(4x-3) = 5(2x-5)

Passing through (2, - 2) and perpendicular to the line whose equation is y= 5x+2

jonny [76]

Step-by-step explanation:

Hey there!!!

Here,

Given, A line passes through point (2,-2) and is perpendicular to the y= 5x+2.

The equation of a straight line passing through point is,

$(y - y1) = m1(x - x1)$

Now, put all values.

$(y + 2) = m1(x - 2)$

It is the 1st equation.

Another equation is;

y = 5x +2........(2nd equation).

Now, Comparing it with y = mx + c, we get;

m2=5

As per the condition of perpendicular lines,

m1×m2= -1

m1 × 5 = -1

Therefore, m2= -1/5.

Keeping the value of m1 in 1st equation.

$(y + 2) = \frac{ - 1}{5} (x - 2)$

Simplify them.

$5(y + 2) = - x + 2$

$5y + 10 = - x + 2$

$x + 5y + 8 = 0$

Therefore the required equation is x+5y+8= 0.

Hope it helps...

7 0

3 years ago

a committee is to consist of two members. if there are seven people available to serve on the committee, how many different comm

Doss [256]

Answer:

66

Step-by-step explanation:

Use the combination formula.

8 0

2 years ago

Read 2 more answers

A researcher obtains t = 2.35 for a repeated-measures study using a sample of n = 8 participants. Based on this t value, what is

ZanzabumX [31]

Answer:

$p_v =2*P(t_{7}>2.35)=2*0.0255=0.051$

If we compare the p value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.

Step-by-step explanation:

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level is not provided but we can assume it as $\alpha=0.05$ . First we need to calculate the degrees of freedom like this:

$df=n-1=8-1=7$

The next step would be calculate the p value for this test. Since is a bilateral test or two tailed test, the p value would be:

$p_v =2*P(t_{7}>2.35)=2*0.0255=0.051$

If we compare the p value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.

5 0

3 years ago

I need help finding x

BigorU [14]

Answer:

The answer to your question is x = $\sqrt{50}$ or x = 5 $\sqrt{2}$

Step-by-step explanation:

To solve this problem use the Pythagorean theorem because two right triangles are formed.

c² = a² + b²

c = 10

a = x

b = x Because in a square all the sides measure the same.

10² = x² + x²

- Simplify

100 = 2x²

x² = 100/2

x² = 50

x = $\sqrt{50}$ or x = 5 $\sqrt{2}$

3 0

3 years ago

Solve x + 18 > 19. I need help solving

lions [1.4K]

Answer:

x>1

Step-by-step explanation:

x + 18 > 19

Subtract 18 from each side

x + 18-18 > 19-18

x>1

4 0

3 years ago

Read 2 more answers