All categories

2 years ago

4. What is the equation of line passing through (-2,4) and parallel to the line y + 3x = 4?

Mathematics

1 answer:

aliya0001 [1]2 years ago

8 0

Answer:

y=-3x-2

Step-by-step explanation:

step 1- find the slope

parallel to means same slope, so look at y+3x=4, its not in the correct slope form so we subtract both sides by 3x to get y=-3x+4, the slope is the coefficient of x which is -3. Slope equals 3

step 2- use the point slope form which is y-y1=m(x-x1)

and substitute in the numbers (only substitute y1,x1, and m)

m is the slope which we found to equal -3

x1 and y1 are the points that they gave us (-2,4) are (x1,y1)

x1=-2

y1=4

step 3- substitute

y-y1=m(x-x1)

y-4=-3(x-(-2))

simplifies to y-4=-3x-6

add 4 to both sides to get y=-3x-2

You might be interested in

yuson must complete 30 hours of community service. she does 2 hours each day. which linear equation represents the hours yuson h

algol [13]

Answer:

30-2x

Step-by-step explanation:

yuson has to finish am total of 30 hours in community service

she does 2 hours each day

in x days, hour of service done=2x

after x days hours of service left=30-2x

therefore the linear equation representing the hours yuson has left after x days is:

30-2x

6 0

2 years ago

12x-4x+3+11 help me solve this problem

daser333 [38]

Answer:

8x + 14

Step-by-step explanation:

12x - 4x + 3 + 11 (Subtract 12x - 4x)

8x + 3 + 11 (Add 3 + 11)

8x + 14

Tip: the like-terms 12x and 4x can be subtracted like regular numbers because they have the same variable and exponent.

6 0

3 years ago

Use the inequality to answer the following question.

katrin2010 [14]

Answer:

Step-by-step explanation:

<h3>pa correct nlng ty sa points.</h3>

3 0

2 years ago

A random sample of 64 observations produced a mean value of 84 and standard deviation of 5.5. The 90% confidence interval for th

ASHA 777 [7]

Answer: The 90% confidence interval for the population mean μ is between 82.85 and 85.15,

Step-by-step explanation:

When population standard deviation is not given ,The confidence interval population proportion is given by ( $\mu$ ):-

$\overline{x}\pm t^*\dfrac{s}{\sqrt{n}}$

, where n= Sample size.

s= Sample standard deviation

$\overline{x}$ = sample mean

t* = Critical t-value (Two-tailed)

As per given , we have

$\overline{x}=84$

n= 64

Degree of freedom : df = n-1=63

s= 5.5

Significance level : $\alpha=1-0.90=0.1$

Two-tailed T-value for df = 63 and $\alpha=1-0.90=0.1$ would be

$t_{\alpha/2,df}=t_{0.05,63}=1.669$ (By t-distribution table)

i.e. t*= 1.669

The 90% confidence interval for the population mean μ would be

$84\pm (1.669)\dfrac{5.5}{\sqrt{64}}$

$=84\pm (1.669)\dfrac{5.5}{8}$

$\approx84\pm 1.15$

$=(84-1.15,\ 84+1.15)=(82.85,\ 85.15)$

∴ The 90% confidence interval for the population mean μ is between 82.85 and 85.15,

6 0

3 years ago

Simplify the expression 6(6-2x)- 10( + 1)

dexar [7]

Answer:

−12x+26

Step-by-step explanation:

i said so kid

Use https://www.mathpapa.com/algebra-calculator.html

3 0

3 years ago