Write as a square of a binomial:

4.8xy+36y^2+0.16x^2

Lets let Teddy be x.

Sister 1: x+3

Sister 2: x-7

If we subtract the younger sister (sister 2) from the older sister (sister 1), we get:

x+3 - (x-7) = x+3 - x + 7 = 10

The older sister was 10 years old when the younger sister was born.

Answer:

Area is 30cm^2 if thats what your asking

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

You need to use the Pythagorean theory to solve this question.

[tex] {13}^{2} = {x}^{2} + {(x + 7)}^{2} [/tex]

[tex]169 = {x}^{2} + ( {x}^{2} + 14x + 49)[/tex]

[tex]169 = 2 {x}^{2} + 14x + 49[/tex]

[tex]0 = 2 {x}^{2} + 14x + 49 - 169[/tex]

[tex]0 = 2 {x}^{2} + 14x - 120[/tex]

Now simply the equation by dividing everything by 2.

[tex]0 = {x}^{2} + 7x - 60[/tex]

[tex]0 = (x - 5)(x + 12)[/tex]

Now, you can find the possible solutions by setting each bracket to 0.

[tex]0 = x - 5[/tex]

[tex]5 = x[/tex]

OR

[tex]0 = x + 12[/tex]

[tex] - 12 = x[/tex]

However, a measurement on a triangle cannot be negative. Therefore, we can ignore -12 and say that the answer is x = 5.

Answer:

Question 42

area of a triangle = 1/2 × base × height

Given:

Substituting given values into the formula:

⇒ 14 = 1/2 × x × (x + 3)

⇒ 28 = (x + 3)x

⇒ 28 = x² + 3x

⇒ x² + 3x - 28 = 0

⇒ (x - 4)(x + 7) = 0

⇒ x = 4, x = -7

As length is positive, x = 4 only.

⇒ height = 4 + 3 = 7 in

⇒ base = 4 in

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Question 43

volume of a cuboid = length x width x height

Given:

Substituting given values into the formula:

⇒ 72 = 6 × (2x - 5) × x

⇒ 12 = (2x - 5)x

⇒ 12 = 2x² - 5x

⇒ 2x² - 5x - 12 = 0

⇒ (x - 4)(2x + 3) = 0

⇒ x = 4, x = -1.5

As length is positive, x = 4 only.

⇒ height = 4 in

⇒ width = 2(4) - 5 = 3 in

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Question 44

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting given values into the formula:

⇒ (x - 7)² + x² = 13²

⇒ x² - 14x + 49 + x² = 169

⇒ 2x² - 14x - 120 = 0

⇒ x² - 7x - 60 = 0

⇒ (x - 12)(x + 5) = 0

⇒ x = 12, x = -5

As length is positive, x = 12 only.

⇒ one leg = 12 m

⇒ other leg = 12 - 7 = 5 m

Answer:

0D r equals -3y

hope ts helpful

Answer:

  (b)  ∠EGF ≅ ∠BDC

Step-by-step explanation:

Angles D and G are both marked with double arcs, indicating they are congruent:

  ∠EGF ≅ ∠BDC

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Other choices:

BD is the short segment between the marked angles. It has no "decoration." EF is the longer segment with a single hash mark decoration. These are not corresponding parts, so are not congruent. There is no right angle in these triangles, so the Pythagorean theorem is not applicable.

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CD is the longest side, with no decoration. EF is the middle-length side with a single hash mark decoration. These are not corresponding sides.

Answer:

I don't know I'm sorry soo just try to work it out if u don't know how than ask someone you know okay, ur welcome.

Answer:

6.7

please give brainliest

Mr. Bartley expression of the ticket cost function is an illustration of equations

The true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip

The equation of the total cost is given as:

Total Cost = 52 * (25 + 2)

The above can be rewritten generally as:

Total Cost = Cost per each * (Student + Teachers)

By comparison, we have:

Cost per each = $52

Students = 25

Teachers = 2

Hence, the true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip

Read more about cost functions at:

https://brainly.com/question/19104371

Answer:

Number 3 is B

Step-by-step explanation:

B is number 3

Answer:

Lakaka 1 by Lakaka 1 vx wfs

Volume of the bead = Volume of the sphere - volume of the cylindrical hole = 242.95 mm³.

Volume of the bead = Volume of the sphere - volume of the cylindrical hole

= 4/3π(4³) - π(1²)(8)

= 268.08 - 25.13

Volume of the bead = 242.95 mm³

Learn more about volume of sphere on:

https://brainly.com/question/22807400

Answer:

x = 11

Step-by-step explanation:

Hello!

In an isosceles triangle, the two legs are congruent by the property Base angle Theorem. It is isosceles when both angles on the base are congruent.

So, since the base is x, and the measure of one leg is 3x - 6, we know that the other leg is also 3x - 6 in length.

The equation for perimeter is :  leg + leg + base = Perimeter

We can plug in 65 for the perimeter because it's given

Solve for x:

The value of x is 11.

Answer:

y = x - 8

Step-by-step explanation:

y = x - 8

Check your answer using (0, -8):

y = x - 8

-8 = 0 - 8

-8 = -8

This statement is true

Also, view the attached graph.

Hope this helps!

Answer:

Bob swam 70 meters on Monday

Step-by-step explanation:

Let x = Meters swam on Monday

and y = Meters swam on Tuesday

x + y = 250

y = 250 - x

y = 3x - 30

250 - x = 3x - 30

4x = 280

x = 70

y = 180

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{24+x}\\ a=\stackrel{adjacent}{24}\\ b=\stackrel{opposite}{32}\\ \end{cases}\implies (24+x)^2~~ = ~~24^2+32^2 \\\\\\ (24+x)(24+x)~~ = ~~24^2+32^2\implies \stackrel{F~O~I~L}{24^2+48x+x^2}~~ = ~~24^2+32^2 \\\\\\ 48x+x^2=32^2\implies x^2+48x-32^2=0\implies x^2+48x-1024=0 \\\\\\ (x-16)(x+64)=0\implies x= \begin{cases} 16~~\textit{\Large \checkmark}\\\\ -64 \end{cases}[/tex]

notice, we didn't use -64, since the value of "x" must be a positive value.

Answer:

Step-by-step explanation:

It is a polynomial. A polynomial must have the following properties (among others).

Degree: So for this example the degree is 4 + 5 = 9. Derived from 4r^4 s^5

There is one isolated - sign with 2 terms on either side of the minus sign.

Type: It is a binomial

Answer:

y= -x-3

Step-by-step explanation:

Hey there!

Here's what happens to the coordinates of a point when it's reflected around the x-axis:

(x, y) --> (x, -y) or (x, -y) --> (x, y)

So the point's x-coordinate hasn't changed.

Here's what happens to the coordinates of a point when it's reflected around the y-axis:

(x, y)--> (-x, y) or (-x, y) --> (x, y)

So the point's y-coordinate hasn't changed.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

58 seconds

Step-by-step explanation:

Very very easy, no formulas or +,- required here.

You can see that the swim times go till 44 on the line, that is the lowest, that means the FASTEST swim time. But we need the slowest swim time. That we can find by finding where does the line end in the right side. We can see it ends between 56 and 60, and if we calculate, then we can find out that the bar in the middle represents 58, so hence, her slowest timing for her swim time is 58 seconds.

So hence, your answer is 58 seconds!

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If you see someone without a smile, give them one of yours!

Thanks!

~MiniMeteorologist~

Have a great day!

:D

Answer: Any number smaller than 6

3k - 6 < 12

(Add six to both sides)

= 3k < 18

(Divide by 3 on both sides)

= k < 6

Also a side note that may be helpful in other similar problems: If you are dividing or multiplying by a negative number you have to flip the inequality sign.

Answer:

y=-x-3

Step-by-step explanation:

Answer:

D) 5

Step-by-step explanation:

5 is the rise. x or 1 is the run. (0,3) is the start location.

Step-by-step explanation:

no, the answer is definitely NOT 4⁴.

4² is smaller than 4⁶, right ?

so, 4²/4⁶ must be smaller than 1.

remember, what we do with exponents when we multiply terms ? we add the exponents.

like 4²×4⁶ = 4⁸

and when we divide terms ? we subtract the exponents.

4²/4⁶ =

[tex] {4}^{ - 4} [/tex]

because 2 - 6 = -4

Answer:

Option D

Step-by-step explanation:

Given the following question:

[tex](7^5)^3[/tex]

To find the answer we simply have to apply the exponent rule and multiply the exponents.

[tex](7^5)^3[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]5\times3=15[/tex]
[tex]=7^{15}[/tex]

Your answer is "7^15" or option D.

Hope this helps.

Answer:

7^15

Step-by-step explanation:

We know that a^b^c = a^(b*c)

7^5^3

7^(5*3)

7^15

You forgot to include your slope but it should just follow the form y= mx+ b. where m is your slope and b is your y-intercept.

The hours worked at the babysitting job is 6 hours.

The hours worked at the barber shop is 3 hours.

Given the two linear equations:

x + y = 9 equation 1

15x + 9y = 117 equation 2

Multiply equation 1 by 9

9x + 9y = 81 equation 3

Subtract equation 3 from 1

36 = 6x

x = 6

Substitute for x in equation 1

6 + y = 9

y = 9 - 6

y = 3 hours

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Answer:

the first on is y=30+1.5x and megawatch is y=100+0.90x

Step-by-step explanation:  

it's interpreted as 28 - 21 = 7

Answer:

a. -2x^2 + 3x+5=y

b.-x^2 +5x-4=y

c.-x^2 +6x-12=y

Step-by-step explanation:

a.y=-2x^2 +bx+c

the points P and Q lie on curve

[tex]\left \{ {{-b+c=2} \atop {b+c=8}} \right.[/tex]

=> b=3, c=5

b. delta = b^2 +4c

x1= [tex]\frac{-b+\sqrt{b^{2}+4c } }{-2}[/tex] =4

=> [tex]b-\sqrt{4c+b^{2} }[/tex]=8

x2=[tex]\frac{-b-\sqrt{b^{2}+4c } }{-2}[/tex]=1

=>2=b+[tex]\sqrt{b^{2}+4c }[/tex]

suppose : [tex]\sqrt{b^{2}+4c }[/tex] = a

=> [tex]\left \{ {{a+b=2} \atop {-a+b=8}} \right.[/tex]

=> a=-3

b=5

a=-3 =>  [tex]\sqrt{b^{2}+4c }[/tex] =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.

c.vertex (3;-3)

[tex]\frac{-b}{-2}[/tex]=3 => b =6

[tex]\frac{-D}{4a}[/tex]=[tex]\frac{-b^{2}+4ac}{-4}[/tex] =-3 =>-b^2+4ac=12 => c=-12.

Answer:

Step-by-step explanation: