7. Given the systems below, state how many solutions there are. YOU MUST GIVE A
REASON

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Just SIMPLIFY the given EQUATION or find the DIFFERENCE}\\\large\text{OF the SQUARES... Here is the formula: }\mathsf{\bf a^2 - b^2 =(a+b)(a-b)}[/tex]

[tex]\large\text{Equation: }\mathsf{\dfrac{(4x^2-9)}{(2x + 3)}}[/tex]

[tex]\large\text{Rewrite }\mathsf{ 4x^9 - 9}\large\text{ in the formation of }\mathsf{a^2 - b^2}\large\text{ whereas}\mathsf{a = 2x \ \&\ b = 3.}[/tex]

[tex]\large\text{Equation: }\mathsf{\dfrac{(2x)^2-3^2}{2x + 3}}[/tex]

[tex]\large\text{This is where you try to do the DIFFERENCE OF its SQUARES}[/tex]

[tex]\mathsf{\dfrac{(2x + 3)(2x - 3)}{2x + 3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{(2x + 3)\ - (2x +3)}\large\text{ because it gives you 0}[/tex]

[tex]\large\text{This leaves us with }\mathsf{\bf 2x - 3}\large\text{ as your POSSIBLE ANSWER}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 2x - 3}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\large\text{Note: There is/are many ways to solve for equations like this.... this was just}\\\large\text{the quickest and easiest way to understand it!}[/tex]

Answer:

-5x, monomial comes from the word "mono" means "one"

Answer:

1. Complementary Angles.

2. x=60°

Step-by-step explanation:

Part 1:

*Note: A complementary angle is when the sum of two angles equal 90 degrees. A Supplementary angle is when the sum of 2 angles equals 180 degrees.

In this instance, the 2 angles equal 90 degrees, as indicarted by the box on the angle. Therefore, the the angles are complentary.

Part 2:

1. Since we know that the sum of the two angles (x-30 and x) is 90 degrees, we can write an equation which says: (x-30) + x=90.

2. Then we'd simplify the equation by adding the like variables, and adding 30 to both sides:

2x=120

3. Now we will divide both sides by 2

[tex]\frac{2}{2} x=\frac{120}{2} \\x=60[/tex]

4. As a result, we get x=60, now label your answer with the degree sign, and enjoy your answer.

Answer:

lots of stuff

Step-by-step explanation:

snow lava and stone frfr

Answer:

I think A and D and E and maybe B

Step-by-step explanation:

(im not sure if they r right though)

Answer:

Point form: ([tex]\frac{1}{2}[/tex],-3)

Equation form: x=1/2  y=-3

Step-by-step explanation:

hope it helps ;)

Answer:

1. volume = 1243.44ft^3

2. volume = 54259.2ft^3

Answer:

.............

Step-by-step explanation:

14x4=56*-32*=24*

from E to B is 180 degree so take 180-24=156*

angle EMQ is equal to angle DMB so=156 degree

Answer:y=-1/4x+3

Step by step explanation: i cant explain it

Answer:

I dont really understand it but I think it's the first one cuz that's the only one that makes sense to me hope it helped tho:))))))))

Answer:

Multiply the amount of milk by 4

Step-by-step explanation:

4x1=4

4x2=8

4x3=12

and it keeps going

hope this helps

Answer:

180

Step-by-step explanation:

72% of 250

72% x 250

72/100 x 250 = 180

I hope im right!!

Answer:

11 Tenths

Step-by-step explanation:

Withouth the tenths, the bottom number would be 1.05. So we need 1.10 or 11 more. 10 tenths is one whole plus the 1 tenth we need to put in the tenths place.

PLZ MARK BRAINLIEST! :)

Answer:

[tex]7^{12}[/tex]

Step-by-step explanation:

When you divide two numbers that have exponents and have the same base, just subtract the exponents. In this case, 7 is the base of both the dividend and the divisor. So, simply subtract 14 - 2 to get 12. The final answer is [tex]7^{12}[/tex].

Hope this helps! :)

If this is for slope-intercept, the equation is: y = 3x + 1

To find the slope, you would find the rise over run ( [tex]\frac{rise}{run}[/tex] ). So, you would start where the graph intersect at the y-axis, which is 1. You would go up 3 times, and right 1 time. So, [tex]\frac{3}{1}[/tex], or 3, would be your slope. To find the y-intercept, you would need to find where the graph intersects at the y-axis, which is 1, so it would be your y-intercept. Plug them into the y = mx + b formula and the answer is y = 3x + 1.

If you have any further questions, please reach out to me :)

Answer:

Step-by-step explanation:

m = 3

(1 , 6)

y - y1 = m(x -x1)

y - 6 = 3(x - 1)

y - 6 = 3x - 3

    y = 3x - 3 + 6

    y = 3x +3

Standard form:

-3x + y - 3 = 0

Answer:

1. kite 2. perpendiclular 3. reflective 4. HL

Step-by-step explanation:

I hope this helps :)

Answer:

We know that AD ≅ CD by the definition of kite. By the kite diagonal theorem, AC is perpendicular to BD. This means that angles AED and CED are right angles. We also see that ED ≅ ED by the reflexive property. Therefore, we have that ΔAED ≅ ΔCED by HL.

Step-by-step explanation:

We know that AD ≅ CD by the definition of kite.

- adjacent sides in a kite are congruent

By the kite diagonal theorem, AC is perpendicular to BD.

- the kite diagonal theorem states that diagonals of a kite form right angles because they are perpendicular to each other.

We also see that ED ≅ ED by the reflexive property.

- any side or angle congruent to itself is identified by the reflexive property

Therefore, we have that ΔAED ≅ ΔCED by HL.

- the triangles formed are all right triangles, so we can they that the two triangles are congruent to each other by the Hypotenuse Leg theorem.

Answer:

27.4

Step-by-step explanation:

Use your calculator for this.

Remember, use SOH CAH TOA

We have an opposite (O) and an adjacent side (A), so we use SINE

sin(41)=18/X......following?

Now, solve for X by multiplying both sides by X......sin(41)(X)=18

Then, divide both sides by sin(41).

Type into your calculator: 18/sin(41), and you'll get 27.44. Round to the nearest tenth, or 27.4!

Answer:

x = 11.8

Step-by-step explanation:

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

⇒ sine 41 = [tex]\frac{18}{x}[/tex]

⇒ 0.656 = [tex]\frac{18}{x}[/tex]

multiply 18 on both sides:

⇒ 0.656 x 18 = [tex]\frac{18}{x}[/tex] x 18

⇒ 11.808 = x

round to the nearest tenth:

⇒ 11.808 = 11.8

Answer:

x = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

Answer:

6

Step-by-step explanation

Ordered triples only apply to right triangles

3,4,5 is an ordered triple

multiply (3,4,5) by 2 and you get (6,8,10)

the 2 other side lengths are 8 and the hypotenuse is 10 then the other side length is 6.

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

That is just a way to do it quickly and it does not always apply.

the formula for Pythagorean and theorem is a^2+b^2=c^2

a=leg of the triangle

b=other leg of teh triangle

c=hypotenuse(longest leg)

as we can see here 10 is the longest so it is the hypotenuse.

So then we can assume that 8 is a leg of the triangle

so we insert that into the equation

a^2+8^2=10^2

subtract 8^2 from both sides

a^2=10^2-8^2

a^2=100-64

a^2=36

square root both sides

a=√(36)

a=6

Hope that helps :)

Answer:

Step-by-step explanation:

height of post ÷ length of shadow = 2/10 = ⅕

height of tower is ⅕ the length of its shadow.

⅕×125 = 25

The tower is 25 feet tall

Given:

Consider a point d divides line segment ab of length 10 centimetre internally in the ratio 2:3.

To find:

The length of ad.

Solution:

If a point d divides line segment ab internally in the ratio 2:3, then the length of ad and db are 2x and 3x receptively.

We know that,

[tex]ab=ad+db[/tex]

Length of the segment ab is 10 cm.

[tex]10=2x+3x[/tex]

[tex]10=5x[/tex]

Divide both sides by 5.

[tex]2=x[/tex]

Now,

[tex]ad=2x[/tex]

[tex]ad=2(2)[/tex]

[tex]ad=4[/tex]

Therefore, the length of segment ad is 4 centimetres.

Answer:  FALSE

Step-by-step explanation;

Answer:

128 banana's... I would work it all out for u but the teacher just came in my room and had a go

Answer: 128

Step-by-step explanation:

Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

20% = 20/100 = 20 ÷ 100 = 0.2.

100% = 100/100 = 100 ÷ 100 = 1.

Answer:

y=−2x−9

Step-by-step explanation:

Answer:

$12.75

Step-by-step explanation:

total: 85*(1+15%)=$97.75

marked up: 97.75-85=$12.75

brillianst!!!!!!

Answer:

They will be driving for a total of 10 hours or 8 more hours than they've already traveled.

Answer:

32

Step-by-step explanation: