Use the coordinates of the labeled point to find the point-slope equation of the line

Answer:

BE = 3.6 units

BD = 12.4 units

Step-by-step explanation:

From the picture attached,

Since DE║AC, ΔBDE and ΔABC will be similar.

In these similar triangles corresponding side will be in the same ratio.

[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]

[tex]\frac{AB-AD}{AB}=\frac{BE}{BC}[/tex]

[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]  

1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]

1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]

1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]

1 = [tex]BE(\frac{3+2}{48})[/tex]

BE = [tex]\frac{18}{5}[/tex]

BE = 3.6 units

Therefore, AD = BE = 3.6 units [given]

Now BD = AB - AD

              = 16 - 3.6

              = 12.4 units

Answer: I hope it helps

Step-by-step explanation:

[tex]y \alpha x\\y= kx (1)\\Make=k-subject-of-the-formula\\\frac{y}{x} =\frac{kx}{x} \\\\\\[/tex]

[tex]k = \frac{y}{x}. \\when-y =3, x= 7 \\k = \frac{3}{7} \\Put - k- = 3/7 -in eq - 1\\y = 3/7x = F \\[/tex]

[tex](4n+3n^2+2)-(n-6n^2+1)\\4n +3n^2+2-n+6n^2-1\\\\3n^2+6n^2+4n-n+2-1\\9n^2+3n+1[/tex]

y = 2x-4

when x= 0

y = 2(0)-4

y =-4

y = 2x - 4

when x = 1

y = 2(1) -4

y = 2-4

y = 2

and so on....

A - Negative - the more slices eaten , the fewer there are

[tex]f(x)= 2x^2 +x-12\\f(3) = 2(3)^2+3-12\\f(3) = 2*9+3-12\\f(3) = 18+3-12\\f (3) = 9[/tex]

Answer:

7 units to the right and 2 units up

Step-by-step explanation:

Answer:

98092718

Step-by-step explanation:

lets convert cubic yards to cubic meters

1 cubic meter=1.30790290586 cubic yard

there is an estimated amount of about 750,000,000*1.30790290586 cubic yards

750,000,000*1.30790290586= 980927179.395 cubic yards

now each truck can hold 10 cubic yards, so, divide 980927179.395 by 10

980927179.395/10=98092717.9395

round to the greatest whole number (there can't be any sediment left on Mt. Helens)

98092717.9395 to 98092718

we need 98092718 dump trucks to scoop it all up

Answer:

D is the correct answer

Step-by-step explanation:

-17/27=-0.63

-8/18=-0.44

In a cartesian plane

-ve side is in the left side of zero

after zero you meet -0.44 first before -0.63

This means, both lie to the left of zero, but -8/18 lies to the right of -17/27.

It's an equation.

(Btw i luv your profile pic :))

Answer:

It's an equation.

Step-by-step explanation:

[tex]2x + 1 = x + 5 \\ \: \: is \: \: \: \: an \: \: \: \: equation[/tex]

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value

for an example,

[tex]4 < 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

f(-2)= 3(-2) - 1 = -6 - 1 = -7

g(5)= -5 + 6 = 1

-7 + 1 = -6

Answer:

She'd have travelled 120 extra miles, 600 miles in total.

Step-by-step explanation:

480 : 8 = 60 --> 60 miles per hour

60 x 10 = 600 --> 600 miles in 10 hours at that speed

600 - 480 = 120 --> extra miles in the extra two hours at that speed

Answer: 2

Step-by-step explanation:

Answer:

The Radius of the circle of center (-4, 3) is 2.

Radius = 2

Step-by-step explanation:

This is the general form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

Let's convert this to standard form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

[tex]x^2+y^2+8x-6y=-21[/tex]

Group/organize [tex]x[/tex] and [tex]y[/tex] terms:

[tex]x^2+8x+y^2-6y=-21[/tex]

[tex](x^2+8x)+(y^2-6y)=-21[/tex]

Now, let's begin the process to complete the square in both parentheses.

[tex](x^2+8x+16)+(y^2-6y+9)=-21+16+9[/tex]

[tex](x+4)^2+(y-3)^2=4[/tex]

Answer:

-0.87 has the strongest linear relationship

Step-by-step explanation:

-0.87, since it is the closest value to either one or negative one,

0.8 is the second strongest

0.65 is the third strongest

-0.52 is the least strongest

Answer:

B. y= 3x -14

Step-by-step explanation:

To find the equation of a line that is parallel  to the line y = 3x - 4 and passe

through the point (4,-2), we will follow the steps below;

Equation of a line is y=mx + c

where m is the slope and c is the intercept

To find the slope of the new equation, we will compare y =mx + c and y=3x - 4

The slope of the equation y = 3x-4 is 3

line that are parallel have the same slope, so the slope of the new equation is also m = 3

To find the intercept, we will substitute x=4,  y = -2 and m =4 into the formula y =mx + c then solve for c

That is;

y = mx + c

-2 = 3(4) + c

-2 = 12 + c

subtract 12 from both-side of the equation

-2-12 = 12-12 + c

-14 = c

c= -14

we can now substitute m and c into the formula to form the new equation

y = mx + c

y = 3x -14

Answer:

0.152

Step-by-step explanation:

152 divided by 1,000 equals around 0.152.

The calculated division of the numbers 152 divided by 1000 is 19/125

From the question, we have the following parameters that can be used in our computation:

152 divided by 1000

When represented as an equation, we have

152 divided by 1000 = 152/1000

Divide 7 by 4

So, we have the following result

152 divided by 1000 = 19/125

Using the above as a guide, we have the following:

the result is 19/125

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Step-by-step explanation:

Hope this is correct

Hope it helps you

Answer:

it is the second one

Step-by-step explanation:

if you rotate it by 180 degrees then it will end up across the original and it will look upside down. after you rotate it dilate it by 1/2 which will look smaller than the original. after you dilate it it should be across the orriginal and upside down and be smaller than the original.

Answer:

k = 0.086

Step-by-step explanation:

We have the equation

y=ne^(-kt)

where y is the amount of radioactive material after t hours, n is the initial amount of radioactive material, and k is some constant.

We know the following data:

Replacing into the equation and solving for k:

[tex]y=ne^{-kt}[/tex]

[tex]\frac{n}{2}=ne^{-k8}[/tex]

[tex]0.5=e^{-k8}[/tex]

[tex]ln(0.5)=ln(e^{-k8})[/tex]

[tex]ln(0.5)=-k8ln(e)[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]k = 0.086[/tex]

Answer:

Step-by-step explanation:

function 1

slope=(1-0)/(0+2)=1/2

or slope=(4-1)/(2-0)=3/2

which is not same.

so it is not linear.

Function 2.

slope=(1+2)/(-3+4)=3/1=3

or slope=(4-1)(-2+3)=3/1=3

or slope=(7-4)/(-1+2)=3/1=3

slope is same. so it is linear.

Answer:

x int = 7/5

y int = -7

Step-by-step explanation:

y = 5x - 7

when x = 0

y = -7

when y = 0

-5x = -7

x = 7/5

Answer:

y.(0.-7)

x.(1.4,0)

Step-by-step explanation:

Answer:

7/48

Step-by-step explanation:

there are 48 in total

there are 7 white females

7/48

Answer:

25% = (p) 1/4 = picking a number 9.

(p) 1/4 = 0.25 (results getting a number more than 8 or just getting 9

This is add rule from the 4 card set.

1/4 + 0 + 0 + 0 = 1/4

Because each (P) is equal and shows (P); 1/4  

there are 1 event so 1/4 + 0= 1/4 = 0.25%

Step-by-step explanation:

0.25 x 100 = 25%

Answer:

25%

Step-by-step explanation:

there are 4 options so there are 25% chance it will be 9

Answer:

8 x 6 x 4 = 192

Step-by-step explanation:

Volume is l x w x h

Answer:

The answer is 192 inches cubed.

Step-by-step explanation:

The formula to solve the volume of a 3-D shape is length times width times height.  So you would multiply 8 times 6 times 4. Then you just add the descriptions.

Answer:

21

3x21= 63 have a great day

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

3 hours

Step-by-step explanation:

3/4 + 3(3/4) =4*(3/4) = 3

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is  $197.9

Step-by-step explanation:

 In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

[tex]A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3[/tex]

[tex]A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58[/tex]

Interest is [tex]A-P= 51411.58-43000= 8411.58[/tex]=$8411.58

solving for option B  which gives her 6% simple interest annually

the simple interest formula is

[tex]A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68[/tex]

Interest is[tex]A-P=51213.68-43000= 8213.68[/tex]= $8213.68

calculating the diference in interest between the two options we have

[tex]8411.58-8213.68= 197.9[/tex]= $197.9

Option A earns higher interest

The amount of ABC will be at x = 34 days is, $2245.46.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation y = 65.89x + 22.17 fits the scatterplot of the values for stock ABC over the past month with an r-value of 0.9948.

Now, we can calculate the value of ABC by substituting x = 34 into the equation as;

y = 65.89(34) + 22.17

y = 2245.46

Therefore, the value of ABC at x = 34 days is approximately $2245.46.

Learn more about the mathematical expression visit:

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Answer:

1. - (C) 14

2. - (B) 4

3 - (A) 2/12

Answer:

the answer will be A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 80

Write down all the values and cross out until you get to the middle, since there are 2 values, find the mean, which would be 80

Answer:

No Spaces - y=3x+4

Step-by-step explanation:

Using the format y= Mx+ b , m representping the slope and b representing the y intercept, the correct equation would be y = 3x + 4. Hope this helps : )

The equation of the asked line is y = 3x+4

The equation is the statement of equality between two expressions consisting of variables and/or numbers.

Given that, a line with a slope of 3 and a y-intercept of 4.

The standard equation of a line is;

y = mx+c

Therefore, putting the values we get,

y = 3x+4

Hence, The equation of the asked line is y = 3x+4

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Answer:

For question 2: the answer is 84 cm

Step-by-step explanation:

The formula for the area of a rhombus/parralelogram is A = bh or base times height.

Answer:

For question 4: the answer is 465 cm

Step-by-step explanation:

The formula for a rhombus is A = bh or base times height. If you fill in those values for the base and height it would be A = 30(15.5)

Answer:

For question 5: the answer is 45

Step-by-step explanation:

The formula for a parralellgram is A = bh. So in this case, A = 18(2.5)

Answer:

For question 6: the answer is 180 feet

Step-by-step explanation:

The formula for a parallelogram is A = bh. But the height is in yards so we would have to convert it into feet. 3 yards equals 9 feet. SO, 20(9) equals 180.

Answer:

For question: 9 the answer is 21

Step-by-step explanation:

The formula for a parrallelogram is A = bh. But in this case the area is filled in for us. 336 = b(16). To find the area, we usually multiple but we will do the opposite because we have to find the base. So, 336/16 equals the base of 21.

Answer:

For question 10: the answer is 11.7

Please mark brainliest I worked hard on these questions.

Answer:

X=27

Step-by-step explanation:

-4•4= -16

Move -16 to the other side

3x=81

x=27