I need to write the equation of the line in slope intercept form

Answer:

AD :  DC is 2:3

Step-by-step explanation:

The parameters given are;

Point B ∈ AC

AB : BC = 2:1

Point D ∈ AB

AD : DB = 3:2

Therefore, whereby we sum the ratios, we have;

For AC

AB = 2/(2+1)×AC = 2/3×AC

BC = 1/3×AC

For AB

AD = 3/(3+2)×AB = 3/5×AB

DB = 2/5×AB

We are required to find AD:DC

Given that AD = 3/5×AB and AB =  2/3×AC

We have;

AD = 3/5×2/3×AC = 6/15 AC

DC = DB + BC =  2/5×AB + 1/3×AC = 2/5×2/3×AC + 1/3×AC = 4/15×AC + 1/3×AC

DC = 3/5×AC

AD :  DC = 6/15 AC : 3/5×AC = 2:3.

Answer:

4320 square inches

Step-by-step explanation:

Area of a rectangle is base times height. You need to convert 3 yards to inches in order to multiply for the area. Since 1 yard is equal to 36 inches, 4 yards is 4*36 = 144 inches. Now you multiply 30 * 144 to get 4320, which is your answer.

Answer:

-2x + 85 = 5x - 48

85 = 7x - 48

7x = 133

x = 19

BC = -2(19) + 85

BC = -38 + 85

therefore, BC = 47

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Answer:

(3x + 7)²

Step-by-step explanation:

You can either factor it by GCF or guess and check. The question you should be asking when you try to factor is"What multiplies to 49 and adds up to 42 with coefficients 3 in front of the x?" When you answer this question, you should think of 7 and 7. You then put it in binomial form and you have your answer.

Answer: (3x + 7)^2

Step-by-step explanation:

9x^2 + 42x + 49

3^2x^2 + 2 * 3x * 7 + 7^2

3x^2 + 2 * 3x * 7 + 7^2

(3x + 7)^2

Answer:

The correct option is;

10 m

Step-by-step explanation:

The parameters given are;

Height of the first pole = 20 m

Height of the second pole = 14 m

The angle the wire connected to their top makes with the horizontal = 30°

The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.

Let the horizontal distance between the two poles = D

Therefore;

The horizontal length of the wire = D

From trigonometric ratios, we have;

[tex]tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}[/tex]

Which gives;

[tex]D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m[/tex]

The correct option is 10 m.

Answer:

did u ever get hte answers for this ?

Answer:

Brainliest? I solved both!

Step-by-step explanation:

Answer:

[tex]\boxed{\df \ \ \ y = 2 \ \ \ }[/tex]

Step-by-step explanation:

We need to solve the following

[tex]\dfrac{7^8}{7^y}=7^6[/tex]

that we can write

[tex]\dfrac{7^8}{7^y}=7^8*7^{-y}=7^{8-y}=7^6\\<=> 8-y = 6\\<=> y=8-6=2[/tex]

so the answer is 2

Answer:

[tex]y=2[/tex]

Step-by-step explanation:

[tex]7^8 \div 7^y = 7^6[/tex]

Apply the law of exponents.

[tex]7^{8-y}= 7^6[/tex]

Cancel the same bases.

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

Subtract 8 on both sides.

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

[tex]-y=-2[/tex]

Cancel negative signs.

[tex]y=2[/tex]

Answer:

m = 0.25

Step-by-step explanation:

-0.8 = -3.2m

m = 0.25

Answer:

0.25 :)

Step-by-step explanation:

Answer:

384 centimeters squared.

Step-by-step explanation:

96/(6+8+10)

96/24 = 4

6×4 : 8×4 : 10×4

24:32:40

The length of its sides are in the ratio of 24:32:40

The longest side is the hypotenuse which is 40.

The area is base × height × 1/2 of a triangle.

32 × 24 × 1/2

768 × 1/2

=384

The area of the triangle is 384 cm squared.

Answer:

Area = 384 cm²

Step-by-step explanation:

Perimeter = 96 cm

Ratio = 6:8:10

So,

6x+8x+10x = 96

=> 24x = 96

Dividing both sides by 24

=> x = 4

So, The sides are

=> 24 cm

=> 32 cm

=> 40 cm

Now the area using Heron's Formula

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is the semi-perimeter = 48 cm, a , b and c are the sides

Area = [tex]\sqrt{48(48-24)(48-32)(48-40)}[/tex]

Area = [tex]\sqrt{48(24)(16)(8)}[/tex]

Area = [tex]\sqrt{147,456}[/tex]

Area = 384 cm²

Answer:

x=2, y=1

Step-by-step explanation:

4x+8y=16

4x-8y=0

Add the two equations together:

8x=16

Divide both sides by 8:

x=2

Plug this back into one of the original equations to find y:

4(2)-8y=0

8-8y=0

y=1

Hope this helps!

Answer:

x, y = (0, 0)

Step-by-step explanation:

photo math broo

Answer:

The person in the at-risk population is much more likely to actually have the disease

Step-by-step explanation:

The probability of a randomly selected doctor having the disease is 1 in 1,000 (P(I)=0.0001).

The probability that a doctor is infected with SARS, given that they tested positive is:

[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.0001*0.99}{0.0001*0.99+(1-0.0001)*0.01}\\P(I|+)=9.9*10^{-3}[/tex]

The probability of a randomly selected person from the at-risk population having the disease is 20 in 100 (P(I)=0.20).

The probability that a person in the at-risk population is infected with SARS, given that they tested positive is:

[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.2*0.99}{0.2*0.99+(1-0.2)*0.01}\\P(I|+)=0.962[/tex]

Therefore, the person in the at-risk population is much more likely to actually have the disease

Answer: maximum point at (-3, 2)

Step-by-step explanation:

The vertex is either the highest or lowest point in the graph. You can see on that graph that the vertex is (-3, 2) because it the x-value -3 points from 0, and the y-value is 2 points from 0. You can also see that the vertex is the highest point on the graph because no points are above it, so it is the maximum value.

Answer: Yes, there is a relationship. As time increases, texting speed decreases.

Step-by-step explanation:

that is for the people looking for the correct answer.

The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

Learn more about Scatter Plot:

https://brainly.com/question/13984412

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Answer:

4.19 units^3

Step-by-step explanation:

The volume formula for spheres is [tex]V = \frac{4}{3} r^3[/tex]

If you plug in the radius which is 1 in this problem you'll get the volume of the sphere.

Answer: 4.19 cu. units

Step-by-step explanation:

Volume of a sphere = 4/3πr^3

= 4/3 x 3.14 x 1^3

= 4/3 x 3.14 x 1

= 4.19 cu. units

Answer:

2/7

Step-by-step explanation:

4 red marbles and 3 blue marbles in a bag = 7 marbles

P(red) = red/total = 4/7

No replacement

3 red marbles and 3 blue marbles in a bag = 6 marbles

P(red) = red/total = 3/6 = 1/2

P(red, no replacement, red) = 4/7 * 1/2 = 2/7

Coordinates for the shape:

(-3,-2), (-5,-2), (-5,-3), (-4,-3), (-4,-4), (-3,-4)

Answer in in Image.

Reflection of shape:

Reflection is a type of transformation. To reflect an object, you need a mirror line. When a shape is reflected, its size does not change - the image just appears 'flipped'. Every point on the shape is the same distance away on the other side of the mirror line.

Here, After reflection, the reflected shape coordinates are:

(-3,-2), (-5,-2), (-5,-3), (-4,-3), (-4,-4), (-3,-4).

Learn more about reflection of diagrams here:

https://brainly.com/question/12757305?referrer=searchResults

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Answer:

Solution,

X=4

Now,

[tex]5x - 3y = 32 \\ or \: 5 \times x - 3y = 32 \\ or \: 5 \times 4 - 3y = 32 \\ or \: 20 - 3y = 32 \\ or \: - 3y = 32 - 20 \\ or \: - 3y = 12 \\ or \: y = - \frac{12}{ 3} \\ y = - 4[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

y = 16/3 or 5.333333...

Step-by-step explanation:

5x - 3y = 4

→ Substitute the value of x = 4 into the expression

(5 × 4) - 3y = 4 ⇔ 20 - 3y = 4

20 - 3y = 4

→ Minus 20 from both sides to isolate -3y

-3y = -16

→ Divide both sides by 3 to isolate y

y = 16/3 or 5.333333...

Answer:

[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]

Step-by-step explanation:

[tex]\left\begin{array}{ccccc}&6&*&5&*\\-&*&8&*&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]

Therefore the last digit of 6*5* is 0.

Therefore:

[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]

Answer:

3x√x²y, –12x√x²y, x√yx², 2√x²y.

Step-by-step explanation:

Data obtained from the question include:

3x√x²y, –12x√x²y, –2x√xy², x√yx²,

–x√x²y², 2√x²y

Like radical in this case talks about those havin the same entity in the square root.

With a careful consideration of the data obtained from the question, the like radicals are:

3x√x²y, –12x√x²y, x√yx², 2√x²y.

Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are [tex]3x\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex],  [tex]-12\sqrt{x^2y}[/tex] and [tex]2\sqrt{x^2y}[/tex].

Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are:

A) [tex]3x\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

B) [tex]-12\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

C) [tex]-2x\sqrt{xy^2}[/tex]

This is not the like radical with the entity [tex]xy^2[/tex] inside the square root.

D)  [tex]-12\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

E) [tex]-x\sqrt{x^2y^2}[/tex]

This is not the like radical with the entity [tex]x^2y^2[/tex] inside the square root.

F) [tex]2\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

So, the correct options are A), B), D), and F).

For more information, refer to the link given below:

https://brainly.com/question/16181471

Answer: x = -1

Step-by-step explanation:

2x - 6 + 17 = 9

Subtract 17 from both sides

2x - 6 = -8

Add 6 to both sides

2x = -2

Divide by 2 on each side

x = -1

Answer:

X=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

We can find the length of the hypotenuse of the 45 45 90 triangle using the other triangle (which is 30 60 90)

Since the hypotenuse is 8[tex]\sqrt{2}[/tex], the short leg (hypotenuse of other triangle) will be 4[tex]\sqrt{2}[/tex]

This means the value of x must be 4

Answer:

1.75 pounds

Step-by-step explanation:

28 divided by 16 = 1.75!

Hope it helps!

Answer:

1.75 pounds or 1 3/4 pounds

Step-by-step explanation:

28/16 = 1.75

Answer:

1)(45x 1.2) /2

2) $27 each

Step-by-step explanation:

Hi, to answer this question we have to multiply the initial bill amount by the gratuity percentage in decimal form (divided by 100)

45 x (20/100) = 45 x 0.2= $9

Now, we have to add the tip amount (9) to the initial bill amount  

45+9= $54 (total bill amount with tip)

(We could obtain the same result if we multiply the initial bill amount by 1.2)

Finally, we have to divide the final bill amount by 2:

54/2 = $27 each

1) (45x 1.2) /2

2) $27 each

Feel free to ask for more if needed or if you did not understand something.

Answer:

[tex]18+(-2)(\sqrt{-9})[/tex] or [tex]18-2\sqrt{9}[/tex]

Step-by-step explanation:

ANSWER: False

This is false because alcohol can have effect as soon as the first drink, depending on the type of person you are.

For example, if your parents drank, and you were born early (a preemie) this can affect your ability to drink.

Hope this helps! ^^

Answer:

False

Step-by-step explanation:

Loooook above

Answer:

Step-by-step explanation:

Let x = the number of 50-cent increases in the cost of a book rental.

Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:

$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.

The number of rentals is:

38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.

(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:

-2x² + 7x + 114