To the nearest tenth, which is the perimeter of △ABC

Answer:

m² + 3m - 10 = 0

Step-by-step explanation:

Given

(6x + 5)² - 10 = - 18x - 15 ← factor out - 3 from each term

(6x + 5)² - 10 = - 3(6x + 5)

Now let m = 6x + 5 in the equation, that is

m² - 10 = - 3m ( add 3m to both sides )

m² + 3m - 10 = 0

Answer:

m = 2

Step-by-step explanation:

(6x + 5)2 – 10 = -18x – 15

12x + 10 - 10 = -18x - 15

12x + 18x = -15

30x = -15

x = -15/30

x = -1/2

m = 6x + 5

m = 6(-1/2) + 5

m = -3 + 5

m = 2

horizontal line: x=9

vertical line: y=3

You can plug it into the application demos to see it visually just put y=3 on one line and x=9 on the other

Answer:

The surface area of the Torrid zone is 179,418,254.4 miles^2

Step-by-step explanation:

In this question, we are to estimate the surface area of the Torrid zone

From the question, we can deduce that the Torrid zone is like a cylindrical belt with a height of 3250 miles while the radius of the earth is 3960 miles

Thus, to calculate the surface area of the Torrid zone, we use the formula for the surface area of a cylinder

Mathematically, this is

A = 2πr ( r + h)

In this case, r = 3960 miles and h = 3250 miles

Substituting these values into the equation, we have

A = 2 * 3.142 * 3960(3960 + 3250)

A = 6.284 * 3960(7210) miles^2

A = 179,418,254.4 miles^2

Answer:

80

Step-by-step explanation:

Geoff's number is 80. We can figure this out by reversing the steps.

Instead of dividing, we can multiply 3 by 25 to get the number in which 5 was subtracted to get that number.

3 x 25 = 75

75 + 5 = 80

Therefore, Geoff's number is 80.

Answer:80

Step-by-step explanation:

Answer:

[tex]\sqrt{450}= 21.21[/tex]

Step-by-step explanation:

[tex]\sqrt{450}=\sqrt{225*2}=15\sqrt{2}=21.21[/tex]

The required expression is 15√2.

In mathematics to operate and interpret the function to make function simple or more understandable is called simplification.

Simplification
= √450
=√3*3*5*5*2
=3*5√2
=15√2

Thus, the required expression is 15√2.

Study more about simplification here:
https://brainly.com/question/12501526

#SPJ2

Answer:

Because is said

Step-by-step explanation:

C

Answer:

9x−12

Step-by-step explanation:

Answer:

[tex] = 9x - 12[/tex]

Step-by-step explanation:

[tex]15x - 3(2x + 4) \\ 15x - 6x - 12 \\ = 9x - 12[/tex]

Answer:

40 coins in each piggy bank

Step-by-step explanation:

Add all the coins together.

95 pennies+ 13 nickels+ 41 dimes+ 11 quarters=160 coins

Divide the number of coins by 4.

160 coins divided by 4 piggy banks= 40 coins in each piggy bank

I hope this helps ;)

Answer:

34+12d>100

Step-by-step explanation:

there u go

Answer:

20 degrees

Step-by-step explanation:

complementary angles sum up to 90 degrees

Answer:

[tex]20 \: \: degrees[/tex]

Step-by-step explanation:

complementary angles mean either of two angles whose sum is 90°.

[tex]x + 70 = 90 \\ x = 90 - 70 \\ x = 20 \: \: degrees[/tex]

Step-by-step explanation:

c) j = 95 degree (similar triangle)

d) jk/4 = 4.6/9.2

jk/4 = 1/2

jk = ?

Answer:

angle k = 30.4

Step-by-step explanation:

Large triangle :

95 + 15 = 110

180 - 110 = 70 degrees

Now, the second triangle is 2.3 times larger than the first one.

(9.2 divide 4 = 2.3)

so, 70 degrees divided by 2.3 = 30.4

Formula for the area of a quarter circle: A = (pi x r^2) / 4

A = (pi x 1^2) / 4

A = 1pi / 4

A = 0.79 square centimeters

Hope this helps! :)

Answer:

y = x + 3.1

Step-by-step explanation:

As we move from (-8.3, -5.2) to (6.4,9.5), the horizontal change ("run") is 14.7 and the vertical change is 14.7.  Thus, the slope is m = rise / run = 14.7 / 14.7 = 1.

Write out y = mx + b.  Because  m = 1, we have

9.5 = 1(6.4) + b, or  9.5 = 6.4 + b, with the result that b = 3.1

and so the desired equation is                 y = x + 3.1

Answer:

r = [tex]\sqrt{11}[/tex]

Step-by-step explanation:

So we need to complete the square for both parts of the equation

First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6

So first we can complete the square for x² + 2x

To do so we need to use [tex](\frac{b}{2} )^{2}[/tex] to figure out the number we need to add to both sides

In this case our b is 2, so substituting this in we get [tex](\frac{2}{2} )^{2} =(1)^{2} =1[/tex]

Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1

Now we can follow the same steps to complete the square for y² + 4y

Here our b is 4, so substituting this in we get [tex](\frac{4}{2} )^{2}=(2)^{2} =4[/tex]

Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4

Now condensing everything we have (x + 1)² + (y + 2)² = 11

The formula for a circle is (x - h)² + (y - k)² = r²

In our equation we have r² = 11

To find the radius we need to take the square root of both sides [tex]\sqrt{r^{2}} =\sqrt{11}[/tex] to get r = [tex]\sqrt{11}[/tex]

Answer:

He has to buy 8 of course

Step-by-step explanation:

Answer:

Step-by-step explanation:

dont know sorry

Answer:

1/5

Step-by-step explanation:

There are 5 heads so the provability of having one head is 1/5

8 > 7- yes

7 = 7- no

12 > 7- yes

2 < 7- no

Answer:

I'm not sure this is an IQ question or not, but logically:

If (− 1 3 ) + 7 = 4, then (− 1 3 ) = 4 - 7 = -3

=> ( 1 3) = 3

=> (1 3) + 6 = 3 + 6 = 9

Hope this helps!

:)

Given Information:

Point 1 =  (8, −3)

Point 2 =  (4, −7)

Required Information:

Distance between points = d = ?

Answer:

Distance between points = d = √32 = 5.657

Step-by-step explanation:

We are given two points,

(x₁, y₁) = (8, −3)

(x₂, y₂) = (4, −7)

We are asked to find the distance between these two points.

The distance is given by

[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }[/tex]

Substitute the given coordinates into above equation

[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 } \\\\d = \sqrt{(4 - 8)^2 +(-7 - (-3))^2 } \\\\d = \sqrt{(-4)^2 +(-7 +3)^2 } \\\\d = \sqrt{(-4)^2 +(-4)^2 } \\\\d = \sqrt{16 +16 } \\\\d = \sqrt{32} \\\\d = 5.657[/tex]

Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.

Answer:

32 square

Step-by-step explanation:

Answer: 4x + 52

Step-by-step explanation:

Dimension of pen:

The question seems incomplete or incoherent

However, to find the number of feet of fencing required, we calculate the perimeter of the rectangle, which is given by:

The perimeter of rectangle = [2 × ( length + width)]

If longer dimension = 26 feets and width = 2x

Perimeter = 2(2x + 26)

Perimeter = 4x + 52

Therefore, expression for fencing required = (4x + 52)

Answer:

the answer is y+2=(x-3). It wasn't clear what the slope was supposed to be but if it is -1 then the third option is correct. Hope this helps :)

Answer:

aaku is right its the 3rd option why are you people rating his answer 2 stars it caused me to get the answer wrong

Step-by-step explanation:

Answer:

The model is 6 inches tall.

Step-by-step explanation:

Write and solve an equation of ratios:

10 in.         x

--------- = ----------

40 ft.      24 ft.

Cross-multiplication yields:

240 in = 40x, so x = 6 inches.

The model is 6 inches tall.

The scale model is 6 inches.

Important information:

Let the scale model is [tex]x[/tex] inches tall.

The height and width of the building and the scale model are proportional.

[tex]\dfrac{x}{10}=\dfrac{24}{40}[/tex]

[tex]x=\dfrac{24}{40}\times 10[/tex]

[tex]x=6[/tex]

Therefore, the scale model is 6 inches.

Find out more about 'Scale model' here:

https://brainly.com/question/1664216

Answer:

98 ft

Step-by-step explanation:

14x7

=98 ft

Answer:

98 ft

Step-by-step explanation:

Answer:

20 percent

Step-by-step explanation:

Answer:Now I'm not that smart but it should be 20%

Step-by-step explanation:if you take the 10 and the the 2, since 10 is acting as the 100% the 2 will be the 20%

Hope that helped

Answer :

156°

Explanation :

Each triangle has an angle sum of 180 degrees.

The sum of the interior angles of the 15 sided polygon =

(n-2)180°

(n-2)180°

(15-2) × 180°

13 × 180 = 2340 °

Since the 15 sided polygon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of

2340° ÷ 15 = 156 °each

Correction

The function is [tex]p(t)=361e^{kt[/tex]

Answer:

k=0.0259

Step-by-step explanation:

The population function is given as: [tex]p(t)=361e^{kt}[/tex]

Where t=0 corresponds to the year 2000.

In 1980, 1980-2000=-20, p(-20)=215

Therefore:

[tex]215=361e^{k*-20}\\$Divide both sides by 361$\\\frac{215}{361}= e^{-20k}\\$Take the natural logarithm of both sides$\\ln(\frac{215}{361})=-20k\\k=ln(\frac{215}{361})\div (-20)\\k=0.0259[/tex]

Answer:

k ≈ 0.44

Step-by-step explanation:

Given the equation

p(t) = 36e^(kt)

In the year 2000, when t = 0, the population

p(0) = 36e^k............(1)

In 1980, when t = -20, the population was 215000

This implies that

215000 = 36e^(-20k)

e^(-20k) = 215000/36

e^(-20k) = 5972.222

Taking natural logarithm of both sides

ln(e^(-20k)) = ln(5972.222)

-20k = 8.695

k = -8.695/20 = 0.435

k ≈ 0.44

Answer:k=5

Step-by-step explanation:

K/2+1/2=3

K/2=3-1/2

K/2=5/2

K=10/2

K=5

Answer: She would need to listen to 6 songs. 5+0.50*2=1*6

Step-by-step explanation: The first website has a $5 mebership fee plus 0.50 cents per song which means 5 + 0.50 *2 equals $6. The other website is $1 per song no membership fee.

Answer:

A

Step-by-step explanation:

While the obvious answer might be Book B because that had the most amount of teachers that approved it, I looked at it a different way. I think that the best book has the greatest percentage of teachers approved compared to the total teachers who reviewed the book. Let's apply this to the 4 books.

A: Approved = 8 Total = 9    8/9 = 88%

B: Approved = 24 Total = 29    24/29 = 83%

C: Approved = 12 Total = 16    12/16 = 75%

D: Approved = 20 Total = 26   20/26 = 77%

As you can see, Book A should be chosen because it has the highest percentage. I hope this helps and makes sense!