The line y = mx + c passes through the points (-2, 1) and (4,4).
Write down a pair of simultaneous equations involving m and c.
Solve the simultaneous equations.

Answer:

y = x^2 + 14x + 62

Step-by-step explanation:

y = (x + 7)^2 + 13 is to be rewritten in the form y = ax^2 + bx + c.  

Note:  Use " ^ " to denote exponentiation.

Expand y = (x + 7)^2, holding the constant term to be added on later:

y = x^2 + 14x + 49 + 13

Combining the constants, we get:

y = x^2 + 14x + 62 (which matches Answer D).

Answer:

c

Step-by-step explanation:

Answer: Its either D OR C.

Step-by-step explanation: its less than (suppose to be).

Answer:

$348

Step-by-step explanation:

original value times 1+ percent increase

290 * (1+.20)

290 * 1.20 = 348

Jason sold his radio for $348

Answer:

30

Step-by-step explanation:

12 is 40% of the total number of cards.

12 = 0.4x, where x is total number of cards

/0.4 /0.4

30 = x

30 cards

Answer:

B

Step-by-step explanation:

Answer:

x = 8/3 or 2 2/3

Step-by-step explanation:

x - 5/3 = 1

x - 5/3 + 5/3 = x

1 + 5/3 = 8/3 or 2 2/3

x = 8/3 or 2 2/3

Answer:

x = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

x - [tex]\frac{5}{3}[/tex] = 1 ( multiply through by 3 to clear the fraction )

3x - 5 = 3 ( add 5 to both sides )

3x = 8 ( divide both sides by 3 )

x = [tex]\frac{8}{3}[/tex]

Answer: f(6) = (6)2 + 1 = 36 + 1 = 37

If we wanted to find and expression for f(g(x)) we could plug in g(x), which is "x - 4" into the function f(x) wherever we see an "x". So:

f(x) = x2 + 1

f(g(x)) = (x - 4)2 + 1 because g(x) is "x - 4"

Step-by-step explanation:

Answer: x = 3, 19

Step-by-step explanation:

Given

Two points i.e.  [tex](11,2)\ \text{and}\ (x,-4)[/tex] are given

Distance between them is 10 units

Distance is given by the distance formula

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

Distance between two points is

[tex]\Rightarrow 10=\sqrt{(x-11)^2+(-4-2)^2}[/tex]

Squaring both sides

[tex]\Rightarrow 100=(x-11)^2+(-6)^2\\\Rightarrow 100=x^2+121-22x+36\\\Rightarrow x^2-22x+57=0\\\Rightarrow x^2-19x-3x+57=0\\\Rightarrow x(x-19)-3(x-19)=0\\\Rightarrow (x-19)(x-3)=0[/tex]

i.e. [tex]x\ \text{can be }\ x=3\ or\ 19[/tex]

Answer:

I hope this helps you :)

Answer:

2x+3y=9

2x+2-3y+1=8

2x-3y=8

2x-3y+3y=8+3y

2x=8+3y

2x=8+3y

2      2

x=8+3y

    2

2(x) +3y=9

2* (8+3y)/2 +3y=9

(16+6y)/2)+3y=9

2*(16+6y)/2)+3y=9

16+6y+6y=18

6y+6y=18-16

12y=2

12y = 2

12      12

y=2

  12

y=0.16666666666667

2x+3 (0.16666666666667)=9

2x+0.5=9

2x=9-0.5

2x=8.5

2x = 8.5

2       2

x=8.5

    2

x=4.25

Answer:

The answer is "24 elements"

Step-by-step explanation:

Please find the complete question in the attached file.

Given that:

[tex]\to Enrique=E\\\\ \to Katie=K \\\\\to Rihanna=R \\\\\to Bruno=B\\\\[/tex]

The element in space are:

[tex]EKRB , ERKB , ERBK , EKBR , EBKR , EBRK , KERB , KEBR , KREB , KRBE ,\\\\ KBRE , KBER , RKEB , RKBE , RBKE , RBEK , REBK , REKB , BEKR , BERK ,\\\\ BREK ,BRKE , BKRE , BKER[/tex]

If the height is 4 feet and a base radius is 1 foot of the cylinder. Then the surface area of the cylinder will be 25.13 square feet,

Let r be the radius and h be the height of the cylinder.

Then the surface area of the cylinder will be

SA = 2πrh square units

The height is 4 feet and a base radius is 1 foot of the cylinder.

Then the surface area of the cylinder will be

SA = 2 × π × 1 × 4

SA = 8 × π

SA = 25.13 square feet

More about the surface area of the cylinder link is given below.

https://brainly.com/question/22074027

#SPJ1

Answer:

B I believe that's the answer

Step-by-step explanation:

Answer:

the quadratic equation cannot be written as the square of a binomial

Step-by-step explanation:

Given the expression

x^2 + 8x - 3 = 0

On factorizing

x = -8±√8²-4(-3)/2

x = -8±√64+12/2

x = -8±√76/2

x = -8±8.7/2

Note that since the since the discriminant is not a prefect square, the quadratic equation cannot be written as the square of a binomial

9514 1404 393

Answer:

  x = 36

  78°, 36°, 66°  (CW from lower left)

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we can write the equation ...

  (2x +6)° +x° +(2x -6)° = 180°

  5x = 180 . . . . simplify

  x = 36 . . . . . . divide by 5

Then the angle measures are ...

  (2x +6)° = (2·36 +6)° = 78°

  x° = 36°

  (2x -6)° = (2·36 -6)° = 66°

Answer:

Top angle - 36

Left angle - 78

Right angle - 66

Step-by-step explanation:

First to find the angles you need to find x. Do this by adding all the angle measurements and setting them equal to 180 because all triangles equal 180.

Then, combine like terms

Finally, divide both sides by 5

Now that you know x you can plug it in to find the rest of the angles. The top angle is simply 36. The left angle is 2(36) + 6, which equals 78. The right angle is 2(36) - 6, which equals 66.

10 : (3 + 2) * 4 + 5² + 6 - 9 =

= 10 : 5 * 4 + 25 + 6 - 9 =

= 2 * 4 + 31 - 9 = 8 + 31 - 9 =

= 39 - 9 = 30

6 * 4 : 12 + 72 : 8 - 9 =

= 24 : 12 + 9 - 9 = 2

Answer:

example 7 x 3 means you add 7  3 times

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Using the equation to find the slope, (-6 - -6) / (5 - 3) equals zero. This means that the line has no slope and must be flat.

[tex]\sqrt{2}[/tex]Answer:

Step-by-step explanation:

now the equations looks like

5-4*Cos(x) = y

when 45° gets plugged into Cos(x) we get [tex]\sqrt{2}[/tex]/2 again

5- 4 * ([tex]\sqrt{2}[/tex]/2) = y

5-2[tex]\sqrt{2}[/tex]=y

leave it in that form . it's exact that way

Answer:

4th option (x = 60)

Step-by-step explanation:

This is isosceles triangle so the angles are the same. Think of this as an mirror. AE is the same as BE so you can assume angle ABE is 30 degrees.

30+30=60

180-60=120

So angle AEB is 120.

That is supplementary angle so the other side must be 180-120=60.

So, the middle smaller triangle is isosceles as well, so BED and BDE are both 60.

60+60=120, 180-120=60

So angle x = 60

Answer:                                                                                                                       1.)−(3

Answer:

there are 431 females and 354 males in the class

Step-by-step explanation:

Let the number of females student in the class be x

Let the males by y

If there are 785 students in the senior class, then;

x+y = 785 .... 1

If there are 77 more females in  the class than males, then;

x = y+77 ....2

Substitute 2 into 1

y+77+y = 785

2y = 785 - 77

2y = 708

y = 708/2

y = 354

Since x = 785 - y

x = 785 - 354

x = 431

Hence there are 431 females and 354 males in the class