Find the coordinates of the orthocenter of △ A B C with vertices A(-3,3), B(-1,7), and C(3,3). You must show all of your steps.

Answer:

11 feet wood will tenly use to make the frame.

Step-by-step explanation:

As given

Tey is making a square frame for her painting.

She is using 4 pieces of wood that are each 2.75 feet long.

Tenly uses wood to make the frame = Number of pieces of wood × Length of each pieces

Here

Number of pieces of wood = 4

Length of each pieces = 2.75 feet

Put in the above

Tenly uses wood to make the frame = 4 × 2.75

                                                             = 11 feet

Therefore 11 feet wood will tenly use to make the frame.

Answer: p = -2w + 20

Step-by-step explanation:

If the student had 20 pencils but now has 18 pencils, he uses pencils at a rate of 2 per week.  So, m = -2  (negative because he is decreasing the amount of pencils).  The student started with 20 pencils so b = 20

Use the y = mx + b but replace "y" with "p" and replace "x" with "w" and input the m and b as stated above:

             p = -2w + 20

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b).

We have the points (4, -5) and (0, -2) → y-intercept → b = -2.

The formula of a slope:

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

Substitute:

[tex]m=\dfrac{-2-(-5)}{0-4}=\dfrac{-2+5}{-4}=\dfrac{3}{-4}=-\dfrac{3}{4}[/tex]

Therefore we have the equation of a line

[tex]y=-\dfrac{3}{4}x-2[/tex]

Convert to the standard form: [tex]Ax+By=C[/tex]

[tex]y=-\dfrac{3}{4}x-2\qquad\text{multiply both sides by 4}\\\\4y=-3x-8\qquad\text{add 3x to both sides}\\\\\boxed{3x+4y=-8}[/tex]

So for this, I will be putting the equation into slope-intercept form then rearranging it into standard form. Firstly, we need to solve for the slope. To do this, take the 2 coordinates given to us and solve as such:

[tex]\frac{-5-(-2)}{4-0}=-\frac{3}{4}[/tex]

Now, one of the coordinates given to us is (0,-2), which is the y-intercept. With all this info, our slope-intercept equation is [tex]y=-\frac{3}{4}x-2[/tex] . From here we can solve for the standard form.

Firstly, add 3/4x onto both sides of the equation:

[tex]\frac{3}{4}x+y=-2[/tex]

Now, it may appear that we are finished. However, 3/4 is not an integer (Integers are whole numbers). To make it an integer, we need to multiply both sides by 4:

[tex]3x+4y=-8[/tex]

In short, the standard form of this equation is 3x + 4y = -8.

Answer: Probability that a student chosen at random likes science given that he or she likes art is 58%

Step-by-step explanation:

Since we have given that

Probability that a student who likes art and science = 21%

Probability that a student who likes art = 36%

According to question,

we need to find the probability that a student chosen at random likes science given that he or she likes art.

So, we will use "Conditional Probability":

P(A) = 0.36

P(S ∩ A) = 0.21

[tex]P(S\mid A)=\frac{P(S\cap A)}{P(A)}\\\\P(S\mid A)=\frac{0.21}{0.36}\\\\P(S\mid A)=0.58\\\\P(S\mid A)=58\%[/tex]

Hence, Probability that a student chosen at random likes science given that he or she likes art is 58%.

Answer:

The answer is: undefined or infinite

Hope this helps.

We can use the points (-1, 3) and (-1, 1) to solve.

Slope formula: y2-y1/x2-x1

= 1-3/-1-(-1)

= -2/0

= 0

This line is straight so it's undefined.

Hope This Helped! Good Luck!

Answer:

2/9

Step-by-step explanation:

Answer:

591

Step-by-step explanation:

the closest number to 600 out of every combo

195

159

951

915

519

591

Answer: 591

Step-by-step explanation:

From the digit 1, 9 and 5. The following numbers can be gotten if we use the 3 numbers.

159

195

519

591

915

951

Of all the numbers, the closest to 600 are 519 and 591.

To the nearest 100, 519 gives 500 while 591 gives 600. Therefore, the answer is 591.

Answer: $1.25 decrease

Step-by-step explanation:

I am not positive but I think this is how you calculate it:

 (.25)($10) + (.75)(-$5)

= $2.50      +    -$3.75

= -$1.25

Answer:

The hyperbolas which open horizontally are:

(x+2)^2/3^2-(2y-10)^2/8^2=1

(x-1)^2/6^2-(2y+6)^2/5^2=1

Step-by-step explanation:

A hyperbola with equation of the form:

(x-h)^2/a^2-(y-k)^2/b^2)=1 opens horizontally

Then, the hyperbolas which open horizontally are:

(x+2)^2/3^2-(2y-10)^2/8^2=1

(x-1)^2/6^2-(2y+6)^2/5^2=1

Answer:

[tex]\frac{(x-2)^2}{3^2}-\frac{(2y-10)^2}{8^2}=1[/tex]

and

[tex]\frac{(x-1)^2}{6^2}-\frac{(2y+6)^2}{5^2}=1[/tex]

Step-by-step explanation:

There are 2 types of hyperbolas:

Horizontal:

[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex]

Vertical:

[tex]\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1[/tex]

If the x term is positive then parabola is horizontal.

If the y term is positive then parabola is vertical.

so, only first two equations are in which x term is positive.

hence, equations are

[tex]\frac{(x-2)^2}{3^2}-\frac{(2y-10)^2}{8^2}=1[/tex]

and

[tex]\frac{(x-1)^2}{6^2}-\frac{(2y+6)^2}{5^2}=1[/tex]

The formula of a volume of a rectangle prism:

[tex]V=lwh[/tex]

l - length

w - width

h - height

We have

[tex]l=n^2+2;\ w = 10,\ h=n+5[/tex]

Substitute:

[tex]V=(n^2+2)(10)(n+5)=(10n^2+20)(n+5)\\\\=(10n^2)(n)+(10n^2)(5)+(20)(n)+(20)(5)\\\\=10n^3+50n^2+20n+100[/tex]

The volume of the aquarium in terms of n is calculated by multiplying its length (n2 +2 inches), width (10 inches), and height (n + 5 inches) giving the formula V = (n2 + 2)  imes (n + 5)  imes 10, which expands to V = 10n3 + 60n2 + 20n + 100 cubic inches.

We use the formula V = length  times width  times height, where the volume V is the space inside the aquarium. The question provides the dimensions of the aquarium in terms of n: the length (n2 +2 inches), height (n + 5 inches), and width (10 inches).

To calculate the volume, simply multiply the dimensions together:

Volume, V = (n2 + 2)  imes (n + 5)  imes 10

Expanding the expression gives us the volume V in cubic inches as a function of n:

V = 10n3 + 60n2 + 20n + 100 cubic inches

The equation of the line parallel to the graph of 14x - 7y = 1 that passes through the point at (-2, 4) is y = 2x + 8. The correct option is C.

To find the equation of the line parallel to the graph of 14x - 7y = 1 that passes through the point at (-2, 4), we first need to determine the slope of the given line. We can write the given equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Starting with 14x - 7y = 1, we solve for y:

The slope of the original line is 2, so a line parallel to it will also have a slope of 2. Using the point-slope form of a line equation, y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]), and the point (-2, 4), we get:

Therefore, the equation of the line parallel to 14x - 7y = 1 and passing through (-2, 4) is y = 2x + 8.

Complete Question:

Find the equation of the line parallel to the graph of 14x-7y=1 that passes through the point at (-2,4).

Select the correct response:

[tex]\begin{aligned}A) \:& y=2 x+3 \\B)\: & y=\frac{1}{2} x+3 \\C) \:& y=2 x+8 \\D) \:& y=-\frac{1}{2} x-3\end{aligned}[/tex]

Answer: 15

from what i believe

Step-by-step explanation: i did the math that i thought it was and i did 240 divided by 16 and i got 15 hope this helps.

Answer:

90 days

Step-by-step explanation:

That = 3240 / 36

= 90 days

Answer:

90 days

Step-by-step explanation:

Hello, I think I can help you with this

You can easily solve this by using a simple rule of three.

Step one

Define

if the drives an average 36 miles per day,the how many days(x)  will it take to drive 3240 miles :it is

1 day ⇔ 36 miles

x days ⇔ 3240  miles

the relation is

[tex]\frac{1\ day}{36\ miles}=\frac{x\ day}{3240\ miles}\\[/tex]

Step two

solve for x

[tex]\frac{1\ day}{36\ miles}=\frac{x\ day}{3240\ miles}\\\\x=\frac{1\ day*3240\ miles}{36\ miles}\\x=90\ days\\[/tex]

90 days

Have a great day.

In the equation 2.5x + 2y = 225, the term 2.5x represents the cost of dried fruit, with 2.5 being the cost per pound.

In the provided equation 2.5x + 2y = 225, where x stands for the pounds of dried fruit and y represents the pounds of nuts, the term 2.5x signifies the cost associated with the dried fruit in making the trail mix.

The coefficient 2.5 represents the cost per pound of dried fruit, which is $2.50. Therefore, multiplying the pounds of dried fruit (x) by the cost per pound (2.5) gives the total cost of the dried fruit in the trail mix. In essence, 2.5x calculates the financial contribution of the dried fruit to the overall cost of producing the trail mix.

For example, if there are 10 pounds of dried fruit (x = 10), then 2.5 times 10 equals 25, representing the cost, in dollars, of the dried fruit in the trail mix. This interpretation extends to any quantity of dried fruit used in the trail mix.

In summary, the term 2.5x in the equation 2.5x + 2y = 225 specifically denotes the cost associated with the pounds of dried fruit (x) used in producing the trail mix.

For more such information on: equation

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Answer:

9 hours

Step-by-step explanation:

First off we need to subtract 17 from 71 in order to get rid of the initial cost. This will lead us to 54. The last thing we need to do is divide that by 6 since you pay 6 hours per hour. Mike paid 71 dollars to rent a bike for 9 hours.

The slope-intercept form of the line passing through the point (7, -2) and parallel to the line y = -8x - 4 is y = -8x + 54. The required answer is y = -8x + 54.

To find the slope-intercept form of a line parallel to the given line, we need to determine the slope of the given line first.

The given line has a slope of -8 since it is in the form y = mx + b, where m represents the slope.

Since the line we are looking for is parallel to the given line, it will have the same slope of -8.

Now, we can use the point-slope form of a linear equation to find the equation of the line passing through the point (7, -2) with a slope of -8:

y - y1 = m(x - x1)

Substituting the values of the point and slope:

y - (-2) = -8(x - 7)

Simplifying:

y + 2 = -8x + 56

Rearranging the equation to the slope-intercept form:

y = -8x + 54

Therefore, the slope-intercept form of the line passing through the point (7, -2) and parallel to the line y = -8x - 4 is y = -8x + 54. The required answer is y = -8x + 54.

Learn more about linear equations and slope-intercept form here:

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The largest interior diameter of the new pipe that would still fit inside the old one is 0.38 inches, after taking into account the thickness of the plumbing tape and additional space requirement.

The plumber is attempting to fit a new pipe into an old pipe with an interior diameter of 0.63 inches. We need to take into account the thickness of the plumbing tape that will add an extra 0.15 inches to the diameter, as well as the requirement that the new pipe must be 0.1 inches smaller to fit inside the old pipe.

To calculate the largest interior diameter the new pipe can have, we should do the following:

So, the largest interior diameter of the new pipe that will fit in the old one is 0.38 inches.

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y-y1 = m(x-x1) ..... point slope form

y-2 = -4(x-1) ... plug in the given info; solve for y

y-2 = -4x+4

y = -4x+4+2

y = -4x+6

Answer is choice C

Answer:

C.   y = -4x + 6

Step-by-step explanation:

First write it in point-slope form ( because that is what you are given):-

y - y1 = m(x - x1):-

y - 2 = -4(x - 1)

y - 2 = -4x + 4

y = -4x + 6 (answer)

Answer:

B) cos 55

Step-by-step explanation:

Consider a right angle triangle with 35 angle, the other angle = 180 - 90 - 35 = 55

sin 35 = opposite side of 35 angle / hypothesis

Opposite side of 35 angle is the same as the adjacent side of 55 angle

sin 35 = adjacent side of 65 angle / hypothesis = cos 55

The answer is B.

If you mean the y coordinate of that line, then it would be negative because it goes through -4 on the y axis.

Answer:

Step-by-step explanation:

Subtract the 680 from 960, then divide the product by 52000 to get the answer

162

... (total paving stones) / bricks = 5 / 2

Multiplying by bricks gives ...

... (total paving stones) = (5/2)·bricks = 5/2·120 = 300

Then the number of gray paving stones is ...

... (gray stones) = (total paving stones) - (tan stones) . . . . tan + gray = total

... = (total paving stones) - 46% · (total paving stones) . . . . tan is 46% of total

... = (100% - 46%)·(total paving stones) = 54% · (total paving stones)

... = 54/100 · 300 . . . . put in the total number of paving stones

... (gray stones) = 162

Answer: 162

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

(x +3) appears only once as a factor, hence the multiplicity of the root x=-3 is 1.

Answer:

y = 0x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = 0 and c = 9, hence

y = 0x + 9

The equation of a horizontal line is normally written as y = 9

with the x- term omitted

The equation of a line with a slope of 0 and a y-intercept of 9 is y = 9, which represents a horizontal line on the graph.

The student is asking about the equation of a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Given that the slope (m) is 0, and the y-intercept (b) is 9, the equation of the line is simply y = 0x + 9. Since any number multiplied by zero is zero, this simplifies to y = 9.

Therefore, the equation of the line with a slope of 0 and a y-intercept of 9 in slope-intercept form is y = 9. This represents a horizontal line that crosses the y-axis at 9.

Answer: 140 Hot dogs and 83 sodas.

Step-by-step explanation:

Alright, so we will say that h = hot dogs and s = sodas.

h + s = 223

I have used the guess and test strategy to get:

h = 140

140 - 57 = 83

s = 83

Check: 83 + 140 = 223

Answer:

42

Step-by-step explanation:

The median is 29 . The third quartile is the middle number of the last 5 numbers.

This is 42

Answer:

42

Step-by-step explanation:

We are given that a data set

20,21,24,25,28,29,35,37,42,43,44

We have to find the value of third quartile of the given data set.

To find the third quartile we will use the given below formula

[tex]Q_3=\frac{3}{4}\times (n+1)^{th} term[/tex]

Where n=Total number of term

We have n=11

By using the formula

[tex]Q_3=\frac{3}{4}\times (11+1)^{th}[/tex] term

[tex]Q_3=9^{th}[/tex] term

[tex]9^{th}[/tex] term=42

Hence, third quartile=42

Answer:

the length is 5 times the width of the prism

Step-by-step explanation:

the volume of this rectangular prism is [tex]5x^3[/tex]

volume of the prism = length * width * height

Length of the prism = 5x

Width = x

height =x

Length of the prism = 5x = 5* width of the prism

So, the length is 5 times the width of the prism

Answer:

19

Step-by-step explanation:

The ratio of green beans (g) to pumpkin (p) is ...

... g : p = 1 : 5

Then the ratio of green beans to the total is ...

... g : (g+p) = 1 : (1+5) = 1 : 6

Since you have

... g/total = (1/6)

... g = total · 1/6

you can substitute 114 for the total to find ...

... g = 114 · 1/6 = 19