What is the value of x?
X° 64°

Answer:

It is 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here we need to write the equations that passes through the point (4 , 3) and is parallel to the given line and perpendicular to it. So lets get started,

a)

First we calculate the slope of the given line by using any two points on the given line by the help of the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

we take the points (1 , 6) and (2 , 2) i chose these two you can choose any other two doesn't matter so now we calculate the slope,

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-6}{2-1}\\\\m=\frac{-4}{1}\\\\m=-4[/tex]

now since our slope is -4 and the line is parallel to the given line so the line that we need in part a would also have the same slope by the law parallel lines have same slope/gradient.

[tex]m_1=m_2[/tex]

so the slope/gradient of our new line that we need which passes through the point (4,3) is -4

Now using the point slope form formula:

[tex]y-y_1=m(x-x_1)[/tex]

we have our point (4,3) which corresponds to [tex](x_1,y_1)[/tex] and m which corresponds to -4 , so now

[tex]y-y_1=m(x-x_1)\\y-3=-4(x-4)\\y-3=-4x+16\\y=-4x+19[/tex]

sow our new line in part a is

[tex]y=-4x+19[/tex]

b)

In this part we need a line that is perpendicular to the given line which means we use the formula to calculate the slope of the perpendicular line which is:

[tex]m_1m_2=-1[/tex]

where [tex]m_1=-4[/tex] the slope of our given line so the slope of the perpendicular line is,

[tex]m_1m_2=-1\\-4m_2=-1\\\\m_2=\frac{1}{4}[/tex]

so using the point (4,3) and the new slope 1/4 we find the equation of the perpendicular line again by using the point-slope form formula:

[tex]y-y_1=m(x-x_1)\\y-3=\frac{1}{4}(x-4)\\\\4y-12=x-4 \\4y=x+8\\\\y=\frac{x+8}{4}\\\\y=\frac{x}{4}+2[/tex]

I have attached of the graphs as well you can check it out for better understanding.

Answer: C

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

123 is the nearest value

Based on the information presented, it can be inferred that Mia made 8 baskets last Saturday.

To calculate the number of baskets Mia made last Saturday we must take into account the following information:

To calculate the number of baskets Mia made, we must divide 24 by 3 to find the number of baskets she made last Saturday.

So, it can be inferred that Mia made 8 baskets last Saturday.

Learn more about division in: https://brainly.com/question/369266

rate = (4438/124,600) * 100

= 3.6 percent

Answer: 8 8/9

Step-by-step explanation:

From the question, we are informed that Mark was remodeling his house and that he took 26 2/3 square feet from 3 different rooms.

The average change in square footage per room will be calculated as:

= 26 2/3 ÷ 3

= 80/3 × 1/3

= 80/9

= 8 8/9

Therefore, the answer is D.

Answer:

I think it's a..... I think it's a carrot

Answer:

x is less than 8

Answer: 17/24

Step-by-step explanation:

let x be the fertilizer used in the flower bed

to find how much he has left

1 3/8 - x = 2/3

the fraction 1 3/8 we can write as 11/8

11/8 - x = 2/3

11/8 -2/3= x

we need the common denominator between 8 and 3, which is 24

33/24-16/24=17/24

Step-by-step explanation:

Note that t = d/r where t is time, d is distance, and r is rate/speed.

We can come up with two equations with the information given and the equation:

t_1 hr = (10 km)/(x km/hr)

t_2 hr = (12 km)/(x - 1 km/hr)

where t_1 is the time taken to run the 10km the first day and t_2 is the time taken to run the 12km the second day.

We know that 30 minutes is 1/2 of an hour and that t_1 is 30 minutes less than t_2 (as stated in the question). Therefore, we can write:

t_1 = t_2 - 1/2

Substituting the values we derived:

(10 km)/(x km/hr) = (12 km)/(x - 1 km/hr) -1/2

Then we can evaluate by multiplying by 2x(x-1) on both sides:

20(x-1) = 24x - (x)(x-1)

20x - 20 = 24x - x^2 + x

x^2 -5x -20 = 0

And we are done.

I hope this helps! :)

An equation is formed when two equal expressions. The equation for the time can be written as (12/x-1)-(10/x)=0.5. The value of x is 7.623.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) Given Alfonso runs 10 km at an average speed of x km/h. Therefore, the time taken by Alfonso to rum 10km is 10/x hour.

Also, The next day he runs 12 km at an average speed of (x - 1) km/h. Therefore, the time taken by Alsonso to run 12km is 12/(x-1) hour.

Now, the time taken for the 10km run in 30minutes(0.5 hours) is less than the time taken for the 12 km run. Therefore, we can write,

[tex]\dfrac{12}{(x-1)}-\dfrac{10}{x} =0.5[/tex]

The equation for the time can be written as (12/x-1)-(10/x)=0.5.

B.) The value of x can be written as,

[tex]\dfrac{12}{(x-1)}-\dfrac{10}{x} =0.5\\\\12x-10(x-1)=0.5 \times x \times (x-1)\\\\12x - 10x +10 = 0.5x^2-0.5x\\\\2x+10 = 0.5x^2-0.5x\\\\0=0.5x^2 - 2.5x -10\\\\x = -2.623, 7.623[/tex]

Since the time can not be negative. Hence, the value of x is 7.623.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Answer:

in quadratic formula my answer came out to -2±2√7/3

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

Answer:

at -6

Step-by-step explanation:

hope that help

Answer:

x=11

Step-by-step explanation:

And you didnt give the equation for FDE but substitute 11 in for X

Step-by-step explanation:

57+90+x=180

147+x=180

x=33

<4= 33°

Answer:

3x-4y=-9

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{4}x+\frac{9}{4}[/tex]

Step-by-step explanation:

[tex]y-6=\frac{3}{4}(x - 5)[/tex] to y = mx  + b

[tex]y-6=\frac{3}{4}(x-5)\\\\Distribute;\\\\y-6=\frac{3}{4}x-\frac{15}{4} \\[/tex]

Add 6 to both sides;

[tex]-\frac{15}{4}+6 =-\frac{15}{4}+\frac{6}{1} \\\\\frac{-15+24}{4} =\frac{9}{4}[/tex]

Answer:

CE = 3.5

Step-by-step explanation:

10 = 5

25 = x

x = 12.5 perimeter of DCE

4+5+x=12.5

x = 3.5

Answer:

it is c

Step-by-step explanation:

Answer:

the solution is (3,-5)

Step-by-step explanation:

Graph the points then get the solution

Answer:

the answer(2, -5)

Step-by-step explanation:

hope i helped u

Answer:

296 miles

Step-by-step explanation:

4 hours=240 minutes

240/30=8

37*8=296

Answer:

Joe travels 296 miles in 4 hours.

Step-by-step explanation:

How many minutes in an hour? 60.

How many minutes in 4 hours then? 60 * 4 = 240 minutes

Now take 240 minutes and divide it by 30. You get 8, this is what you need to multiply 37 by.

37 * 8 = 296.

Therefore, Joe travels 296 miles in 4 hours.

Answer:

x=-3

Step-by-step explanation:

[tex]\sqrt{x+7}-x=5\\\sqrt{x+7}=5+x\\x+7=x^2+10x+25\\x^2+9x-18=0\\(x+3)(x+6)=0\\x=-3, x=-6\\\sqrt{-3+7}-(-3)=5\\\sqrt{-6+7}-(-6)=7=5[/tex]

x=-6 is extraneous because 7 does not equal to 5

x=-3 is the answer because 5=5

Answer: sooo ok i see here that it might be 5 inches if i'm wrong correct me  

Step-by-step explanation:

Answer:

it is d 100%

Step-by-step explanation:

Answer:

its D i would show work but ion have my phone i did this before

Step-by-step explanation:

Answer:

17 - (2 / x)

Step-by-step explanation:

because it is being subtracted from 17. that goes first, and then x is being divided by 2.

Hope this helps!

Answer:

17 - (2 / x)

Step-by-step explanation:

i just did it and got a 100%

Answer:

????????

well the unitrate is 4.20 sculpture in a day

So maybe just find the ones that is not equal to this :)

Answer:

Draw the perpendicular bisector of each line of each line.

Step-by-step explanation:

Because this is a right triangle, the circumcenter will always be located at the midpoint of the hgypotenuse.   Locate those coordinates and you have the circumcenter.