Consider the procedure used below to solve the given equation.

Given:
4
(
2
x
+
5
)
−
(
3
x
−
4
)
=
15


Step 1:
8
x
+
5
−
3
x
+
4
=
24


Step 2:
5
x
+
9
=
24


Step 3:
5
x
=
24
−
9


Step 4:
−
5
x
=
15


Step 5:
−
5
x
−
5
=
15
−
5


Step 6:
x
=
−
3


Which statement about the solution of the given equation is true?

Answer:

(7,-3)

Step-by-step explanation:

y = -3

substitute in the first equation

3x - y^2 = 12

3x - (-3)^2 = 12

3x - 9 = 12

3x = 12 + 9

3x = 21

x = 7

coordinates of intersection (7,-3)

Answer: [tex](x+3)^2+(y-6)^2 = 36\\\\[/tex]

==========================================================

Explanation:

If you apply the midpoint formula to the given points, you should find the midpoint is (3,6). This point represents the center of the circle. This means (h,k) = (3,6).

The radius is r = 6 because this is the distance from the center to either given endpoint. Either count out the spaces or use subtraction of the x coordinates. This works because the y coordinates are all the same.

Use those h, k and r values to plug them into the equation below

[tex](x-h)^2+(y-k)^2 = r^2\\\\(x-(-3))^2+(y-6)^2 = 6^2\\\\(x+3)^2+(y-6)^2 = 36\\\\[/tex]

which represents the equation of the circle we're after.

The graph is below.

Answer:

[tex]4^4[/tex]

Step-by-step explanation:

[tex]256\div4=64\div4=16\div4=4[/tex]

[tex]4\times4\times4\times4=256[/tex]

[tex]4^4=256[/tex]

Hope this helps.

Answer:

d

Step-by-step explanation:

easy

Every 10 nights, she knits 30cm of the scarf.

Take 30cm and divide it by 10 days and you will get 3cm per day

Applying the equation, it is found that the solution for s is given by:

[tex]s = \frac{w - rh}{c}[/tex]

The equation we are going to work in this problem is given by:

[tex]cs + rh = w[/tex]

We want to solve for s, hence, we have to isolate s, first placing rh on the other side with the inverse signal(subtraction).

[tex]cs = w - rh[/tex]

Division is the inverse of multiplication, thus, c is multiplying s, it goes to the other side dividing:

[tex]s = \frac{w - rh}{c}[/tex]

Which is the solution for s.

A similar problem is given at https://brainly.com/question/5123313

1.17

because

1

0.82

0.35  +

---------

1.17

Answer:

y = x - 1/5

Step-by-step explanation:

x - y = 1/5

-y = -x + 1/5

y = x - 1/5

Answer:

Step-by-step explanation:

Y=-x-1/5

Answer:

72

Step-by-step explanation:

4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4

Count the number of 4s. There are 18 of them.

So,

4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4

= 18 × 4

= 72

______

RainbowSalt2222 ☔

Answer:

B. No Solution

Step-by-step explanation:

[tex]13-2(v-2)=-3-2v\\\\12-2v+4=-3-2v\\\\16-2v=-3-2v\\\\16\neq -3[/tex]

Answer:

12 blocks west

Step-by-step explanation:

Okay so he walked 12 blocks west to Zac's house and then walked another 12 blocks back this means that he had to walk 12 blocks west to get to Zac's house

P.S. Sorry if it is wrong

Answer:

0 blocks west

Step-by-step explanation:

If you end at the same place you started just like on a racetrack one full lap.  Walking 12 blocks west then 12 blocks east back to the house displacement is 0 because you are back where you started from.

Answer:

h'(x) = -10x + 20

Step-by-step explanation:

To get the derivative of [tex]ax^{n}[/tex], simply use the following formula:

[tex]a(n)x^{n-1}[/tex]

We have the function, h(x) = -5x^2 + 20x

Using the formula, we get the derivative to be:

-10x + 20

so h'(x) = -10x + 20

f(x) = 17

7x-4 =17

7x=17+4

X=21/7

X=3

Answer:

C. x < 32

Step-by-step explanation:

Third option

Answer:

The answer is -19

Step-by-step explanation:

6^2-50-5

=6*6-50-5

=36-50-5

=-14-5

=-19

Answer:

-19

Step-by-step explanation:

[tex]c^{2} -50-5 = 6^{2} -50 -5 \\\\= 36 -50 - 5\\= -14 -5\\= -19[/tex]

Answer:

No

Step-by-step explanation:

No, i can't and I don't know why, but here is the answer; ASK your MOM!?

Answer:

Step-by-step explanation:

Decrease % = 10% = 10/100 = 0.1

[tex]V =5000*(1 - 0.1)^{t}\\\\V = 5000* (0.9)^{t)[/tex]

9514 1404 393

Answer:

  β ≈ 39.9°

  θ ≈ 50.1°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between the sides of a right triangle and the trig functions of the acute angles.

For angle β, we know the opposite side and the hypotenuse, so the relevant relation is ...

  Sin = Opposite/Hypotenuse

  sin(β) = 61/95

The inverse function is used to find the angle when the sine is known.

  β = arcsin(61/95) ≈ 39.9°

Of course, the angle θ is the complement of this:

  θ = 90° -39.9° = 50.1°

Answer:

Step-by-step explanation:

sin β = 61/95 = 0.642105

β = 39.95 degrees.

O = 90 - 39.95

= 50.05 degrees

cos O = 61/95.

Note that cos (90-β) = sin β.

Answer:

56

Step-by-step explanation:

according to the sum of the exterior angles of  a polygon, we get that the exterior angles of this polygon add up to 360

so our equation is: 9x-31+7x-2+4x+33=360,

the -31-2+33 cancel out,

and combining like terms gives us: 20x=360

so x=18,

from here we know that DCE equals to 180-7x+2, because it is an exterior angle, therefore the angle is 180-126+2, which is 56

Answer:

62

Step-by-step explanation:

Answer:

x = 61.641°

Step-by-step explanation:

Hope it's help, study well and goodluck!!

Answer:

>

Step-by-step explanation:

since we know that w=4 then all we need to do if fill out the equation so we get 3*4^2+1    10*4+8 so then we just need to solve the equation

3*4^2+1    10*4+8

3*16+1     10*4+8

48+1       40+8

49          48

so since we know that 49 is bigger then 48 we have to put > to show that 49 is bigger or greater than 48

Answer:

Step-by-step explanation:

Add two horizontal segments to divide the figure into three:

Now we have two trapezoids and one triangle.

Area of triangle:

Area of trapezoids:

Total area:

Answer:

613 YEARS

Step-by-step explanation:

3a x 5b to the power of C Divided by D =2581

1968+613

Answer:

dprox = 1.295 parsecs× 206,000 AU 1 pc × 1.5 × 1011 meters 1 AU = 4.00×1016 meters . This length of time can also be written as 2.22 × 106 min, or as 37,100 hr, or as 1540 days, or as 4.23 years.

Step-by-step explanation:

hopefully this helps

Answer:

b. 2%

Step-by-step explanation:

20.51/18.99

Answer:

First subtract 18.99 from 20.51

this equals 1.52

then divide 1.52 by 18.99

to find the percentage that 1.52 is of 18.99

this is 8%

Answer:

C:1 and 3/4

Step-by-step explanation:

We can use a ratio to solve

1 day             x days

-------    =    -------------

24 hours       42 hours

Using cross products

1 * 42 = 24x

Divide each side by 24

42/24 = x

21/12 = x

7/4 = x

4/4 + 3/4 =x

1 3/4 =x

1 3/4 days = x

Answer:

im gonna guess that the problem is 2x+13-9y, the answer is 38

Answer:

C(-31)

Step-by-step explanation:

= 5 - 4(1 + 2^3)

= 5 - 4(1 + (2 . 2 . 2))

= 5 - 4(1 + (4 . 2))

= 5 - 4(1 + 8)

= 5 - 4(9)

= 5 - 36

= (-31)

OPTION C

_________

[tex] \: [/tex]

5 - 4(1 + 2³) = ?

= 5 - (4(1) + 4(2³))

= 5 - (4 + 4(8))

= 5 - (4 + 32)

= 5 - 36

= -31

Answer:56x

Step-by-step explanation:

Answer:

If u wanted to solve the system of equations ur answer would be...

(2,2)

x=2, y=2

Step-by-step explanation:

Let –

a/b = b/c = c/d = k

Then –

[tex]\qquad \longrightarrow {\purple{\underline{\underline{\pmb{\sf{ (a² + b² + c²) (b² + c² + d²)}}}}}}[/tex]

[tex]\qquad \sf\longrightarrow (b²k² + c²k² + d²k²) (c²k² + d²k² + d²)[/tex]

[tex]\qquad \sf\longrightarrow(c²k⁴ + c²k² + d²k²) (d²k²k² + d²k² + d²)[/tex]

[tex]\qquad \sf\longrightarrow (d²k⁶ + d²k⁴ + d²k²) (d²k⁴ + d²k² + d²)[/tex]

[tex]\qquad \sf\longrightarrow d²k²(k⁴ + k² + 1) d²(k⁴ + k² + 1)[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ d⁴k²(k⁴ + k² + 1)²}}}}}}[/tex]

[tex]\qquad \longrightarrow {\purple{\underline{\underline{\pmb{\sf{ (ab + bc + cd)²}}}}}}[/tex]

[tex]\qquad \sf\longrightarrow (bk.b + ck.c + dk.d)²[/tex]

[tex]\qquad \sf\longrightarrow (b²k + c²k + d²k)²[/tex]

[tex]\qquad \sf\longrightarrow (c²k²k + d²k²k + d²k)²[/tex]

[tex]\qquad \sf\longrightarrow (d²k²k² × k + d²k³ + d²k)²[/tex]

[tex]\qquad \sf\longrightarrow (d²k⁵ + d²k³ + d²k)²[/tex]

[tex]\qquad \sf\longrightarrow{d²k(k⁴ + k² + 1)}²[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ d⁴k²(k⁴ + k² + 1)²}}}}}}[/tex]

Henceforth –

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