find the slope of the line that passes through the points given in the table

The equation of the blue line is y = 7x - 8 and the equation of the red line is y = -2x + 2

Equations are written as a function of two or more variables with input and output.

The standard linear equation is given in the form y = mx + b

m is the slope

b is the y-intercept

For the red line, the y-intecept is 2

Using the coordinate point on the red line (0,2) and (1, 0)

Slope = -2/1
Slope = -2

Equation of the  red line is y = -2x + 2

For the blue line, we will use the coordinate points (2, 6) and (1, -1)
m = -7/-1

m = 7

-1 = 7(1) + b

-1 - 7 = b

b = -8

Hence the equation of the blue line is y = 7x - 8

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Answer: 75 degrees

Step-by-step explanation:

Answer:

[tex]9\frac{52}{69} - 1 \frac{29}{50} [/tex]

[tex] \frac{673}{69} - \frac{79}{50} [/tex]

[tex] \frac{673}{69} to \: the \: nearest \: whole \: number \: is \: 10[/tex]

[tex] \frac{79}{50} to \: the \: nearest \: whole \: number \: is \: 2[/tex]

[tex] > > > 10 - 2 = 8[/tex]

[tex]\log_{10} (3y+2) - 1 = \log_{10}(y-4)\\\\\implies \log_{10} (3y+2) - \log_{10} 10 = \log_{10} (y-4)\\\\\implies \log_{10} \left( \dfrac{3y+2}{10} \right) = \log_{10} (y-4)\\\\\implies \dfrac{3y+2}{10} = y-4\\\\\implies 3y+2 = 10y-40\\\\\implies 10y-3y = 40+2\\\\\implies 7y = 42\\\\\implies y = \dfrac{42}7\\\\\implies y = 6[/tex]

Answer:

angle CAB and angle BCA

Step-by-step explanation:

Hope this helps! Have a great day!!

Answer:

I thank it is 12 4/5

Step-by-step explanation:

hope this helps if not please let me now and dont worry about  brainliest my main focus is just helping people.

Answer:

200

Step-by-step explanation:

Answer:

False, it would actually be 106 beads. If this was a multiplication problem, that would also be false, because 6 times 100 is 600, not 350.

But let's attempt to make this statement true.

First/Last step: Find the missing beads.

The missing beads are 144.

Why?

Because you must add 144 to reach 250, there is no other way but to multiply. In this case, because the key word is, "In all" we are adding.

Answer:

D.

Step-by-step explanation:

REarranging the fromula:

F  = m . a

M is  in grams and acceleration is in meters / second squared

grams . metres per second squared.

Answer:

D) grams · meters per second squared

Step-by-step explanation:

[tex]\sf a=\dfrac{F}{m} \implies F=ma[/tex]

If a has units of  [tex]\sf ms^{-2}[/tex]

If m has units of [tex]\sf g[/tex]

Then as F is the product of m and a, then

F has units of [tex]\sf g \cdot ms^{-2}=gms^{-2}[/tex]

The amount of profit the investor earns is 9340 dollars. Then the correct option is D.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84.

The investor sells these shares when the net asset value is $43.19 and the offer price is $43.56.

Then total cost price of the shares will be

→ 19.84 × 400 = $7936

The total selling price of the shares will be

→ 43.19 × 400 = $17,276

Then the profit is the difference between the total cost price of shares and the total selling price of the shares.

→ 17276 - 7936 = $ 9340

More about the Algebra link is given below.

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Answer:

Step-by-step explanation:

The apothem, perimeter, and area of the hexagon are 13.86 inches, 96 inches, and 665.11 square inches respectively.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A regular hexagon has side lengths of 16 inches. the radius is 16 inches.

The length of the apothem (h) of the hexagon is about inches.

[tex]\rm h = 16\times \sin 60^o\\\\h = 13.8564 \approx 13.86 \ inches[/tex]

The perimeter of the hexagon is inches.

[tex]\rm Perimeter = 6 \times 16\\\\Perimeter = 96\ inches[/tex]

The area of the hexagon is about square inches.

[tex]\rm Area = 6 \times \dfrac{1}{2} \times 13.86 \times 16\\\\Area = 665.1075 \approx 665.11 \ inches^2[/tex]

More about the polygon link is given below.

https://brainly.com/question/17756657

Answer:

Step-by-step explanation:

The length of the apothem of the hexagon is about

✔ 13.9

inches.

The perimeter of the hexagon is

✔ 96.0

inches.

The area of the hexagon is about

✔ 667.2

square inches.

Answer: The difference between the weight of the cashews and yogurt raisins is 19 grams.

Step-by-step explanation:

205-186 = 19 grams

hope this helps!

Answer:

i believe its 150

Step-by-step explanation:

Answer:

100 cubic centimetres

Step-by-step explanation:

Volume of Cone = 1/3 pie r^2 h

= 1/3 × 3.14 × 4 × 4 × 7

= 117.226

= 100 cubic centimetres ( nearest hundredth)

Q = mcΔt

Q = 14 x 0.385 x (85-50)

Q = 161.7 J

Answer:

Step-by-step explanation:

Below statements include the required information or property

Answer:

the robot can travel 26 feet in 3 minutes

Step-by-step explanation:

The robot goes 11 feet per minute and 11 x 3 equals 33 which is more than 26.   33 < 26

Answer:

See below.

Step-by-step explanation:

Because same-side interior angles are supplementary, and becasue these two angles are equal, each angle must be one-half of 180°, or each angle must have a measure of 90°.

Answer:

 29/4 or 7.25

Step-by-step explanation:

Simply divide by 4 to isolate and solve for the x-term:

[tex]x=29/4[/tex] or 7.25

Answer:

6(2a+4)-4(3a-4)= (12a+24) +(-12a+16) = 40

Answer:

Step-by-step explanation:

To solve for z, isolate it on one side of the equation.

First, multiply by -1 from both sides.

⇒ (-5z)(-1)<10(-1)

Solve.

Multiply the numbers from left to right.

⇒ 10(-1)=(-10)

Rewrite the problem down.

⇒ 5z<-10

Then, you divide by 5 from both sides.

⇒ 5z/5<-10/5

Solve.

Divide the numbers from left to right.

⇒ -10/5=-2

[tex]\boxed{\sf{z < -2}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

z > -2

Step-by-step explanation:

Given inequality: -5z > 10

To determine the simplified inequality, we need to isolate "z". Divide -5 both sides to isolate the variable "z".

⇒ -5z > 10

⇒ -5z/-5 > 10/-5

Always remember that if you are dividing by a negative number, the inequality sign flips over.

⇒ z < -2

Thus, the simplified inequality is z < -2.

Answer:

900 in^2

Step-by-step explanation:

Triangle area = ( b x h )/ 2

rectangle area = b x h

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

triangle:

30 * 40 / 2 = 600 in^2

rectangle:

30 * 20/2 = 300 in^2

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

600 + 300 = 900 in^2

The standard deviation of the dataset is the square root of the variance

The mean and the standard deviation of the dataset are 24.6 and  5.70, respectively

The dataset is given as;

25, 24, 32, 16, 22, 34. 19. 27, 18, 29

Calculate the mean using:

μ = Sum/Count

So, we have:

μ = (25+ 24+ 32+ 16+ 22+ 34+ 19+ 27+ 18+ 29)/10

Evaluate

μ = 24.6

The standard deviation is then calculated using:

[tex]\sigma =\sqrt{ \frac{\sum(x - \mu)^2}{n}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{(25 - 24.6)^2 + .................. + (27- 24.6)^2 + (18- 24.6)^2 + (29- 24.6)^2}{10}}[/tex]

Evaluate

[tex]\sigma = \sqrt{32.44}[/tex]

Evaluate the square root

[tex]\sigma = 5.70[/tex]

Hence, the mean and the standard deviation of the dataset are 24.6 and  5.70, respectively

Read more about variance at:

https://brainly.com/question/15858152

Answer:

Simplified: -4a²b²+18a³-2b³

3a(6a²-4ab²)+8a²b²-2b³

Multiply 3a by 6a² and-4ab²

18a³-12a²b²+8a²b²-2b³

combine like terms (-12a²b² and 8a²b²)

-4a²b²+18a³-2b³

Hope this helps

Step-by-step explanation:

Here we have to simplify the polynomial :

[tex] \\ \longrightarrow \sf \qquad3a(6a^2-4ab^2)+8a^2b^2-2b^3\\ \\[/tex]

Using Distributive property we get :

[tex]\longrightarrow \sf \qquad18a^3- {12}^{2} b^2+8a^2b^2-2b^3\\ \\[/tex]

Combining the like terms we get :

[tex]\longrightarrow \sf \qquad18a^3-4a^2b^2-2b^3\\ \\[/tex]

Therefore,