x2 - 12x + 32 = (x - 8)

Answer:

-17

Step-by-step explanation:

We can use substitution for this system of equation.

Since x=-2y+9, we can replace x with -2y+9 in the top equation.

6y+(-2y+9)=-59

Simplify and solve.

6y-2y+9=-59

4y+9=-59

4y=-68

y=-17

The volume of silver metal that will weigh exactly 2500 grams having a density of 10.5g/cm3 is 238.1cm3

Density is the ratio of the mass of a substance to its volume.

Analysis:

Density = 10.5g/cm3 = mass/volume

10.5 = 2500/volume

volume = 2500/10.5 = 238.1g/cm3

In conclusion, the volume of silver metal to weigh exactly 2500grams is 238.1cm3

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Answer:

1x+3x=200

4x=200

x=50

1x=50 x=50

4(50)=150

then the answer is 50 and 150

Compare both pairs

[tex]\\ \rm{:}\dashrightarrow 8q-2=6[/tex]

[tex]\\ \rm{:}\dashrightarrow 8q=6+2[/tex]

[tex]\\ \rm{:}\dashrightarrow 8q=8[/tex]

[tex]\\ \rm{:}\dashrightarrow q=\dfrac{8}{8}[/tex]

[tex]\\ \rm{:}\dashrightarrow q=1[/tex]

And

[tex]\\ \rm{:}\dashrightarrow 2-7p=p+6[/tex]

[tex]\\ \rm{:}\dashrightarrow 2-6=8p[/tex]

[tex]\\ \rm{:}\dashrightarrow p=-1/2[/tex]

Answer:

the prashastis is the most assential and the core is a chinese of a bone where the body is the most assential of a bone where it can take longer to get a good idea of the following ratio is a good idea for the needs 8n and a half his salary manish he has a good reputation in his work and is willing and able for his wealth of knowledge to help to help to improve his wealth of the following ratio is a good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class

Answer:

1)x = 24

2)x= 25

The value of the expression is 6.87 x 10⁹.

The value of the given expression is calculated as follows;

(PV⁷) /(5P)

where;

The value of the expression is obtained when the given value is substituted as shown below;

(PV⁷) /(5P) = (6 x 32⁷) / (5 x 6)

                 = 32⁷/5

                 = 6.87 x 10⁹

Thus, the value of the expression is 6.87 x 10⁹.

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Answer:

A, E, F

Step-by-step explanation:

Answer:

5n

d=10-5

=5

a=5

n=a+ (n-1)d

=5+(n-1)5

=5+5n-5

=5n

Answer: Below

Step-by-step explanation:

An interesting part of this problem is that it derives off of Exponential growth formulas.

So by plugging in the values in the Exponential growth:

[tex]y = x(1+0.02)^{4}[/tex]
[tex]y = x(1.02)^{4}[/tex]

What's important is we know the increasing factor, so:

[tex](1.02)^{4} = 1.0824[/tex]

So now we know 8.24% of something is equal to 100. We can use this to find x, which is our initial value.

x * 0.0824 = 100
x = 100/0.0824

x = 1213.59

The answer is approximately 1213.59

Answer:

if you know why do that but the answer is

36

I know I would like to do that too but that's wrong even if you are New to brainly

Answer:

  45°

Step-by-step explanation:

The triangles CPN and APM are isosceles, which gives rise to angle relationships that can be used to find the desired angle.

Let the angle at A be represented by α. Then the angle at C is the complementary angle (90° -α). The angles MPA and NPC are, respectively ...

  ∠MPA = (180° -α)/2 = 90° -(α/2) . . . . . . . base angle of ΔAPM

  ∠NPC = (180° -(90° -α))/2 = 45° +α/2 . . . base angle of ΔCPN

The sum of angles MPA, MPN, NPA is the linear angle APC, so we have ...

  ∠MPA +∠MPN +∠NPA = 180°

  (90° -α/2) +∠MPN +(45° +α/2) = 180°

  135° +∠MPN = 180°

  ∠MPN = 45°

Answer:

incomplete question

Step-by-step explanation:

you are required to give the circumference and the diameter in order to complete this equation

The total amount of paint needed is 15 quart and it cost $41.25.

An equation is an expression that shows the relationship between two or more variables and numbers.

0.0015 quart of paint to cover 1 square inch.

Let the area of the rectangle be 10000 in², hence:

Amount of paint = 0.0015 quart per in² * 1000 in² = 15 quart

Cost of paint = $2.75 per quart *  15 quart = $41.25

The total amount of paint needed is 15 quart and it cost $41.25.

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Apply Pythagorean theorem in ∆TMU

[tex]\\ \rm\Rrightarrow UT^2=6^2-3^2=36-9=27[/tex]

[tex]\\ \rm\Rrightarrow UT=3\sqrt{3}[/tex]

Now

[tex]\\ \rm\Rrightarrow y^2=(3\sqrt)^2+9^2[/tex]

[tex]\\ \rm\Rrightarrow y^2=27+81[/tex]

[tex]\\ \rm\Rrightarrow y^2=108[/tex]

[tex]\\ \rm\Rrightarrow y=6\sqrt{3}[/tex]

Answer:

6√3 units

Step-by-step explanation:

Similar right triangle theorem states that as ΔNUT ≅ ΔTUM then

NT : NU = TM : TU

First find the length of TU using Pythagoras' Theorem:  a² + b² = c²

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

⇒ UM² + TU² = TM²

⇒ 3² + TU² = 6²

⇒ TU² = 27

⇒ TU = √(27)

⇒ TU = 3√3

Given:

NT : NU = TM : TU

⇒ y : 9 = 6 : 3√3

[tex]\implies \dfrac{y}{9}=\dfrac{6}{3\sqrt{3} }[/tex]

[tex]\implies (3\sqrt{3})y=6 \times 9[/tex]

[tex]\implies y=\dfrac{54}{3\sqrt{3}}[/tex]

[tex]\implies y=6\sqrt{3}[/tex]

Answer:

All you have to do is image flipping the triangle on the right over and then you'll see they are equal. You can also look at AB and DE and see they both are right angles.

Step-by-step explanation:

Answer:

(x - 4)^2 - 11

Step-by-step explanation:

Here, the question asks you to complete the square. The steps to do so are the following:

ax^2 + bx + c = a(x - b/2 x)^2 -(b/2)^2 + c

1. halve the x coefficient and put it with x as a binomial squared

2. minus the new coefficient squared

3. collect like terms

so let's do it for this question:

x^2 - 8x + 5

step 1:

half of -8, is -4, so we'll get:

= (x - 4)^2 + 5

However this isn't equal to x^2 - 8x + 5, but to x^2 - 8x + 16 + 5. Therefore we must get rid of 16 (step 2). You will notice 16 = (-4)^2 (from the first formula I gave.)

= (x - 4)^2 - 16 + 5

step 3:

= (x - 4)^2 - 11

Answer:

(x - 4)² - 11

Step-by-step explanation:

x² - 8x + 5

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

x² + 2(- 4)x + 16 - 16 + 5

= (x - 4)² - 11

Answer:

I'm not sure if it's .45 or just 45 so I'll do both

0.45 x 120 = 54

45 X 120 = 5400

I don't think a person would weigh 5400kg

12 divided by 3 is 4;but, what is the sum of c mean

Answer: Since the slope of a line is the change in y divided by the change in x, given two points (x1,y1) and (x2,y2) we can find the slope by calculating (y2-y1)/(x2-x1).

Answer:

Use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where x_1 and y_1 are the coordinate of one point, and x_2 and y_2 are the coordinates of another (different) point.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

5/7 -2/4

5×4-2×7/28

20-14/28

6/28

0.21

Answer:

Step-by-step explanation:

w (width) = 32/8

w = 4

p (perimeter) = 2w + 2l

p = (2 x 4) + (2 x 8)

p = 8 + 16

p = 24

The product of (2x+y) and (5x-y+3) is (10x²+3xy+6x-y²+3y).

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The product of the two given polynomial (2x+y) and (5x-y+3), can be written as,

[tex](2x+y) (5x-y+3)\\\\= 10x^2-2xy+6x+5xy-y^2+3y\\\\=10x^2-2xy+5xy+6x-y^2+3y\\\\=10x^2+3xy+6x-y^2+3y[/tex]

Hence, the product of (2x+y) and (5x-y+3) is (10x²+3xy+6x-y²+3y).

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Answer:

10, 3, 6, -1, 3

Step-by-step explanation:

Use the elimination method :

-3x - y = -1
3x + y = -6

-> 3x + y + (-3x - y) = =6 + (-1) = -7

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

0 = 7 (false)

So, the answer is no solutions.

Answer:

Slope: 0.3

Step-by-step explanation:

When you turn the equation into as lope intercept form, it is easy to see the slope

Slope intercept form: y = mx + b

Y = y coordinate

M: slope

X : x coordinate

b = y intercept

y = 0.3x + 3.26

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Part A:-(Refer to the attachment)

Part B:-

For interpretation we need graph(attached)

Note that correlation coefficient is the linear correlation between two sets

Answer:

14. x = 36°

15. x = 9°

16. x = 45°

Step-by-step explanation:

14. The sum of the interior angles in a triangle is 180°. This means that 2x + 2x + x = 180°. This can be simplified to 5x = 180°. If we divide both sides by 5, we find that x = 36°

15. Using the same approach, the sum of the interior angles in a triangle is 180°. This means that 7x + 3x + 90° (the right angle) = 180°. Next, we can subtract 90° form both sides to get 7x + 3x = 90°. If we simplify the left side, we get 10x = 90. Finally, we can divide both sides by 10 to find that x = 9°

16. Using the same approach, the sum of the interior angles in a triangle is 180°. This means that 2x + x + x = 180°. This simplified is 4x = 180. If we divide both sides by 4, we get x = 45°

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

You can find the sum of all interior angles of any convex shape with one simple equation: 180(n-2) , where n= number of sides of shape.

With a triangle, 180(3-2) simplified to, 180(1), with the answer being 180.

All the angles of a triangle add up to 180°

Lets look at first problem.

2x + 2x + x

set it  equal to 180

2x + 2x + x = 180 (Combine like terms)

5x = 180               (Divide by 5, both sides)

x = 36

Next one,

7x + 3x + 90 = 180

10x + 90 = 180

10x = 90

x = 9

Last one,

2x + x + x = 180

4x = 180

x = 45