can someone help me with this problem? thank you!

Answer:

The slopes of parallel lines are the same

The slopes of perpendicular lines are negative reciprocals

Line AB

[tex]\textsf{let}\:(x_1,y_1)=(3,4)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(7,7)[/tex]

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{7-4}{7-3}=\dfrac{3}{4}[/tex]

Line CD

[tex]\textsf{let}\:(x_1,y_1)=(0,0)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-6,8)[/tex]

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{8-0}{-6-0}=-\dfrac{4}{3}[/tex]

As the slopes of AB and CD are negative reciprocals of each other, lines AB and CD are perpendicular.

Answer:

Possible value of m is 14

Step-by-step explanation:

1 and 2 is 3 (2)

1 and 3 is 4 (3)

1 and 4 is 5 (4)

2 and 1 is 3 (5)

2 and 2 is 4 (6)

2 and 3 is 5 (7)

3 and 1 is 4 (8)

3 and 2 is 5 (9)

4 and 1 is 5 (10)

you have 36 different ways you can role and 10 of them are 5 or less so you have a 26/36 chance of rolling greater than 5

Answer:

0.125%

Step-by-step explanation:

area of square

10*10=100

area of triangle

(5*5)/2=12.5

[tex]\frac{12.5}{100}[/tex]=0.125

to get the equation of any straight line, we simply need two points off of it, so let's use the points in the picture below.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{4}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{2}(x-\stackrel{x_1}{1})[/tex]

now, if we use the last point from the table, namely (x , 17), we can see that x = x and y = 17, so let's plug those in the equation

[tex](17)-5=2(x-1)\implies 12=2x-2\implies 14=2x\implies \cfrac{14}{2}=x\implies 7=x \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (7~~,~~17)~\hfill[/tex]

---Multiply a x c

Quadratic Form: ax^2 + bx + c

4 x -25 = -100

---Find a factor pair of -100 that adds up to -15

-20 x 5 = - 100

-20 + 5 = -15

---Separate the b term into your two factors

4n^2 + 5n - 20n - 25

This can take some trial and error (though there are only two options) because when you factor, you want the inside of the parentheses to be the same. If you look at the next step, (4n + 5) appears twice.

---Factor each binomial

n(4n + 5) - 5 (4n + 5)

---Rewrite

(n - 5)(4n + 5)

What you're really doing here is factoring out the (4n + 5), which leaves you with the terms that you factored out in the previous step. You then combine these terms into one set of parenthesis.

Answer: (n - 5)(4n + 5)

Hope this helps!

Answer:

56

Step-by-step explanation:

25 times 4 = 100

14 times 4 = 56

Answer:

√3 cm

or

1.73 cm to the nearest hundredth.

Step-by-step explanation:

Each side must be 2 cm long

Using Heron's formula

Area = √(s(s-a)(s-b)(s-c)  where s = semi-perimeter, a , b and c are the 3 side lengths.

So here s = 6/2 = 3 and all the sides = 2 so

Area  = √(3(3-2)^3

         =  √3 cm.

Answer: 9

Step-by-step explanation:

½bh = 29.25

½ × 6.5 × b = 29.25

B= 29.25/ 3.25

The length of the base of the triangle is 9 centimeters.

The area of a triangle is simply expressed as half base multiplied by height.

Area A = 1/2 × base length × height

Given the dimensions of the triangle:

Area A = 29.25 square centimeters

Height = 6.5 centimeters

Base length =?

To find the height of the triangle, plug the given values into the above formula and solve for h:

Area A = 1/2 × base length × height

29.25  = 1/2 × base length × 6.5

29.25  = base length × 3.25

Base length = 29.25 / 3.25

Base length = 9 cm.

Therefore, the base length measures 9 centimeters.

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Answer:

[tex](x-3)^2 + (y-2)^2 = 16[/tex]

Step-by-step explanation:

This is because the centre is at (3,2) and the radius of the circle is 4 and you square all the terms to find the equation of the circle.

Answer:

x = 30

Step-by-step explanation:

if A||B, then 4x + 2x must equals to 180 (interior angles of 2 parallel lines)

6x = 180

x = 30

Answer: Translate circle A using the rule (x + 3y - 1), Dilate circle A by a scale factor of 4

Step-by-step explanation:

You need to first map the centers onto each other, then make the radii equal using a dilation.

Answer:

15

Step-by-step explanation:

75/5 = 15

This spilts the 75 students into 5 different groups and each one has 15 which is 1/5 of the students

15x=-42-19y

3x=-54-19y

Subtract both

Put in second

So

Answer:

1, -3

Step-by-step explanation:

Solve the system of linear equations:

-------------------------------------------------------------------------------------

Subtract the equations to eliminate y:

     15x = -42 - 19y

-      3x = -54 - 19y

    ----------------------

    12x = 12

⇒ x = 12 ÷ 12

⇒ x = 1

Now substitute the found value of x into one of the equations and solve for y:

⇒ 15x = -42 - 19y

⇒ 15(1) = -42 - 19y

⇒ 15 = -42 - 19y

⇒ 19y = -42 - 15

⇒ 19y = -57

⇒ y = -57 ÷ 19

⇒ y = -3

Therefore, x = 1 and y = -3

Answer:

Congruent triangles

Or

Similar triangles

Answer:

MEAN = 14 (AS PER ESTIMATION)

MEDIAN = 17

Step-by-step explanation:

Mean=Sum of terms/No.of terms

Then,

→13+16+14+17+17+8+16/ = 101/7 = 14.428571....…

Median = The middle number

= 17

Answer:

y≤2/3x+1/5

or the very first one

Step-by-step explanation:

The volume of the coffee in each tank will be 1760. in³. The mass of cold coffee and hot coffee will be 6163.29 oz and 10213.45 oz. Then the number of the tank placed on a table is one only.

She is serving hot coffee and cold coffee in two rectangular-shaped tanks, each with dimensions width of 8.75 inches, a length of 8.75 inches, and a height of 23 inches.

The hot coffee has a density of 5.8 oz/in³ and the cold coffee has a density of 3.5 oz/ in³.

Then the volume of the coffee in each tank will be

We know that the dimension of both tanks is equal. Then the volume will remains equal.

Volume = L × B × H

Volume = 8.75 × 8.75 × 23

Volume = 1760.9375 ≅ 1760.94 in³

Then  the mass of the coffee in each the tank will be

The mass of hot coffee will be

Mass = Density × Volume

Mass = 5.8 × 1760.94

Mass = 10213.45 oz

The mass of cold coffee will be

Mass = Density × Volume

Mass = 3.5 × 1760.94

Mass = 6163.29 oz

Then the number of the tank placed on a table is one only.

More about the density and volume link is given below.

https://brainly.com/question/952755

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Answer:

area:1.9×0.75÷2

perimeter:2+0.75+2.25

To calculate a patient's heart rate, the doctor must take into account a segment of time, such as a minute, and count the number of times the heart beats in that segment.

Heart rate is a term that refers to the number of heart contractions or beats per unit of time.

Heart rate is usually measured at various points, but most commonly it is measured at the wrist, neck, or chest.

According to the above, the most common way for the doctor to establish the patient's heart rate is to count the heart beats in a segment of time such as one minute.

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60 beats per minute

I got it right on the Kahn Academy Unit Test, trust me <3

Answer:

Step-by-step explanation:

I'm not oversimplifying this answer.

If 1 inch is .25 miles then all you have to do is multiply .25 miles by 5 inches and u get 1.25 miles.

[tex]\begin{array}{ccll} \stackrel{in}{model}&\stackrel{mi}{actual}\\ \cline{1-2} 1 & 0.25\\ 5& x \end{array} \implies \cfrac{1}{5}=\cfrac{0.25}{x}\implies x=(5)(0.25)\implies x=1.25[/tex]

Answer:

7p+7=37-3p

10p=30

p=3

answer : p=3 because ke=be

[tex] \Large{\boxed{\sf k = -15}} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf 18 = -k + 3 [/tex]

[tex] \\ [/tex]

Subtract 3 from both sides:

[tex] \sf 18 - 3 = -k + 3 - 3 \\ \\ \sf 15 = -k [/tex]

[tex] \\ [/tex]

Divide each side by -1:

[tex] \sf \dfrac{15}{-1} = \dfrac{-k}{-1} \\ \\ \\ \boxed{\boxed{\sf k = -15}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about equations here: ↣https://brainly.com/question/19225782

Answer:

2058

Step-by-step explanation:

every 5 years is 0.53 so you times that by 11 to get 7.61 and then half of .53 is .265 and round that up you get three more years so 2058 is the answer.

Step-by-step explanation:

let x=8 for a small triangle

y=10 for a big triangle