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A line passes through the points (−4,−9) and (−2,−6). What is the equation of the line in Slope-Intercept Form?

y=2/3x+3

y=3/2x+3

y=3/2x−3

y=2/3x−3

Answer:

the answer is b

Step-by-step explanation:

Answer: 119

Step-by-step explanation:

we will replace x and y with the given values x=3, y=-2

-3(3^3)(-2)-4(3)(-2)^2+5= -3(27)(-2)-4(12)+5=

=119

Answer:

— g(5)=18

Step-by-step explanation:

x=5 into g(x). g(5)=(4×5)−2=20−2=18.

Answer:

d=11-17=5-11=-6

so

-1-6=-7

-7-6=-13

-13-6=-19

Hope it will help

Answer:

y=-x+3.

Step-by-step explanation:

The graph goes down one and right one before making another point. This means that the slope is -1/1. Simplify and you get -1. So far we have y=-1x. -1x is the same as -1. Now we have y=-x. The graph intersects the y-axis at the point (0,3). This makes our y-intercept 3. Our final equation is y=-x+3.

Answer:

x=12, y=-3

Step-by-step explanation:

Plug (-4y) in for x in the top equation. The equation will now read 2(-4y) + 7y = 3. Distribute the 2 into the perenthecies getting: -8y+7y=3. -8+7 is -1 giving -y+3. Divide by -1 making y = -3. Plug -3 back into the top equation and solve for x: 2x + 7(-3)=3. 2x-21=3. 2x=24. x=12.

Answer: y= 0.50x + 40

Step-by-step explanation:

Answer:

determinant formula looks like  ad - bc in a 2 x2 matrix when it's in the from of

a b

c d

as the one is here

Step-by-step explanation:

5*2 - (-4*8)

=10 - (-32)

=10 + 32

= 42

Answers and steps are in the picture below!

Answer:

c. 14

Step-by-step explanation:

Let the missing y value be y2.

If the data represent a linear function, then:

[tex] \frac{6 - 2}{2 - 1} = \frac{y_2 - 6}{4 - 2} [/tex]

[tex] \frac{4}{1} = \frac{y_2 - 6}{2} [/tex]

[tex] 4 = \frac{y_2 - 6}{2} [/tex]

Multiply both sides by 2

[tex] 4 \times 2 = \frac{y_2 - 6}{2} \times 2 [/tex]

[tex] 8 = y_2 - 6 [/tex]

Add 6 to both sides

[tex] 8 + 6 = y_2 - 6 + 6 [/tex]

[tex] 14 = y_2 [/tex]

The missing value is 14

Answer:

(B). 38 cm³

Step-by-step explanation:

V = a² [tex]\frac{h}{3}[/tex]

a = 4.5 cm

h² = (6.1)² - ( [tex]\frac{4.5}{2}[/tex] )² = 32.1475

h = √32.1475 ≈ 5.67

V = (4.5)²( [tex]\frac{\sqrt{32.1475} }{3}[/tex] ) ≈ 38.27 ≈ 38 cm³

Answer:

[tex]38 cm^3[/tex]

Step-by-step explanation:

Given the slant height and a base side length of a right square pyramid, we can use these numbers to solve for the volume.

The formula for the volume of a square pyramid is generally known as:

[tex]V = 1/3 a^2h[/tex], where the variable 'a' represents the base side length and 'h' represents the height.

Since we are given the slant height, we can use Pythagorean's Theorem to calculate the height (non-slanted) when given a base side length by using the equation below:

[tex]a^2+b^2=c^2[/tex]

This is a special case because this is a right square pyramid, meaning we can use C squared and substitute that for the given slant height, 6.1 cm. The leg of the right triangle, which is [tex]\frac{s}{2}[/tex], takes place of 'b' which is 4.5. Now, given all of this, we can plug in our known values. Height is what we are solving.

[tex]h^2+\left(\frac{4.5}{2}\right)^2=6.1^2[/tex]

Now we will simplify and solve everything, and we get h; or the height, which equals 5.668977.

Now we can finally use the general formula to solve the volume of a square pyramid.

[tex]V = 1/3 a^2h[/tex]

Let's plug in everything now to find the volume — which we know that the height is approximately 5.66, and the base side length is 4.5.

[tex]V=\frac{1}{3}\left(4.5\right)^2\left(5.66\right)[/tex]

The volume from this formula equates to 38.205 cm³, or roughly 38 cm³, meaning the answer is B.

Answer:

AC = 12.6

AB = 49.8

C = 73°

Step-by-step explanation:

(B/sin(14)) = (52/sin(93))

B = (52*sin(14))/sin(93)

B = 12.6

(C/sin(73)) = (52/sin(93))

C = (52*sin(73))/sin(93)

C = 49.8

Answer:

A) slope is -12

B)The rate of change is constant because for every 5 seconds the change is the same. For every 5 seconds, the height decreases by 60ft. The equation is y=12x+1210

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Alex buys x oranges and Bobbie buys x + 2 oranges. Together they buy 2x + 2 oranges.

$4.20 / $0.21 = 20 oranges.

2x + 2 = 20

2x = 18

x = 9

Hence the value of x is 9.

Answer:

x=9

Step-by-step explanation:

The total number of oranges purchased is x + x+2 =  2x+2

They cost 21 cents each

(2x+2) *.21

This is equal to 4.20

(2x+2) *.21 =4.20

Divide each side by .21

(2x+2) *.21/.21 =4.20/.21

2x+2 = 20

Subtract 2 from each side

2x+2-2 =20-2

2x= 18

Divide by 2

2x/2 =18/2

x =9

Answer:

Answer is B

Step-by-step explanation:

Remember, perpendicular lines have opposite slopes. In order to do this, you just need to flip the sign (Change it to the opposite. For example, if it is 3, it would be -3), and change the slope to its reciprocal (For example, if it is 3, it would 1/3). Finally, since the equation is y = 1/2x + 10, the slope would change to -2x... so your answer is B

Answer:

D

Step-by-step explanation:

D

Answer: A is the answer

Step-by-step explanation:

Estimated Answer: 30

Work: Since 2.31 is below 2.50, I rounded is back down to 2. Since 2.58 is above 2.50, I rounded it up to 3, and Since 5 isn't a decimal, it stays at 5. So, the new "Estimated" multiplication problem is 2 x 3 x 5 = 30

Check: So, lets do the original equation. The answer is 29.799, which is very close, so (Check) I hope this helps, and Happy Holidays! :)

Answer:

IT'S 30

Step-by-step explanation:

= 30:  2X3X5 6X5 =30 This a little bit of step by step but.......

Step-by-step explanation:

y = kx, where k is a real constant.

When x = 6, y = -12:

(-12) = (6)k

Therefore k = -2.

Hence y = -2x.

The direct variation of Y with X is Y = -2X.

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations. They are employed to represent a number of physics laws.

As per the given data:

Y varies directly with X.

Y equals -12 when X equal 6.

Let's consider the equation Y = kX:

∴ -12 = k(6)

k = -2

Y = -2X

Hence, the direct variation of Y with X is Y = -2X.

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Answer:

a

Step-by-step explanation:

The pentagon is dilated 3 units to the left and 3 units vertically down and the rule is ( x , y ) → ( x + 3 , y - 3 )

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the pentagon be represented as A

Now , the dilated pentagon is represented as A'

Now , the center of dilation is the origin O ( 0 , 0 )

where it is dilated 3 units to the left

So , the x coordinate is changed to x + 3

And , dilated vertically downward by 3 units

So , the y coordinate is changed to y - 3

Hence , the dilated pentagon is ( x , y ) → ( x + 3 , y - 3 )

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9514 1404 393

Answer:

  Bob

Step-by-step explanation:

The "steepness," or slope, of the mountain is the ratio of height to horizontal distance to the base:

  Joe's mountain slope = 1200/1500 = 0.8

  Bob's mountain slope = 900/1000 = 0.9

Bob's mountain has a greater slope than Joe's. Bob climbed the steeper mountain.

Answer:

1. The estimate of the proportion of mosquitoes in the area that carry the disease is approximately 0.1606 or 16.06%

2. To check for accuracy of the of the value of proportion of disease carrying mosquito in the area

Step-by-step explanation:

The given parameters are;

The number of mosquitoes in the sample = 137

The number of mosquitoes that carry the disease = 22

1. The estimate of the proportion of mosquitoes in the area that carry the disease = (Number of mosquitoes with the disease)/(The number of mosquitoes in the sample)

The estimate of the proportion of mosquitoes in the area that carry the disease = 22/137 ≈ 0.1606 or 16.06%

2. The reason the scientist run the simulations to find additional possible proportions of mosquitoes in the area that carry the disease is to check for variability and accuracy of the proportion of disease carrying mosquito in the area.

1. The proportion of mosquitoes in the region that carry the illness is estimated to be 16.06%.

2. To ensure that the proportion of disease-carrying mosquitos in the region is accurate.

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Given data;

There were 137 mosquitos in the sample,[tex]\rm N_s[/tex]

The number of disease-carrying mosquitos is,[tex]\rm N_m[/tex]=22

The estimated proportion of disease-carrying mosquitos in the region is found as;

[tex]\rm D_m=\frac{N_m}{N_s} \\\\ \rm D_m=\frac{22}{137} \\\\ D_m=16.06 \ %[/tex]

2. The scientists used simulations to determine alternative probable proportions of disease-carrying mosquitos in the region in order to check for variability and accuracy in the proportion of disease-carrying mosquitos in the area.

Hence,the proportion of mosquitoes in the region that carry the illness is estimated to be 16.06%.

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Answer:

A.

Step-by-step explanation:

The coordinates are currently on the top left, which means one of the coordinates are negative. If you look at the chart, you can see that the X-axis is negative, and X is first on a coordinate plane. (X,Y) So, if the negative coordinate is X, and X goes first, then there's no other choice than to choose A, which is the only answer choice that has a negative X-axis in their coordinate plane! Hope this helps!

Answer:

1. 50%

2. 3%

3. 20%

4. 200%

Step-by-step explanation:

Here, we want to find the worth of each coin as a percentage of $1

We simply divide the worth by $1 and multiply by 100%

$1 is same as 100 cents

Thus;

1. 50 cent

= 50/100 * 100% = 50%

2. 3 cents

= 3/100 * 100% = 3%

3. 20 cents

= 20/100 * 100% = 20%

4. $2

= 2/1 * 100% = 200%

Your answer will be D.

So, you have the angles 12, 9, 6, and 3. You may see that the place that 6 is makes this a non perfect square. When you have this problem simply add the number on top of it with the number that makes this problem.

For instance...

[tex]\boxed{6+3=9}[/tex]

So, when finding area you must multiply the 2 lengths with each other.

So here our bottom length is also 12. Thus, we must multiply 9 and 12 together.

For instance...

[tex]\boxed{9*12=108}[/tex]

Answer: 15 - C. 16 - B.

Step-by-step explanation: Reverse PEMDAS

Answer:

1) C

2) B (if the answer is x/4=15)

Answer:

60/61

Step-by-step explanation:

Answer:

whats your question

Step-by-step explanation: