In order to solve a quadratic equation by completing the square, what does the coefficient of the squared term need to be? If the coefficient is not equal to this, what does your first step need to be to complete the sqaure?

Answer:

40°

Step-by-step explanation:

As sum of angles of the triangle is 180°

therefore the third angle will be 180 -( 75 + 65)=40°

x=40°= vertically opposite angle

Answer:

x = 40°

Step-by-step explanation:

a + 65 + 75 = 180  {Angle sum property}

a + 140 = 180

     a = 180 - 140

    a = 40

x = a  {Vertically opposite angles}

x = 40°

Answer:

3rd option

Step-by-step explanation:

f(x) = 0 are the points on the x- axis where the graph crosses, the zeros

The graph crosses the x- axis at - 2 , 1 and 3

Answer:

The coordinate of point C is (m,m) and the coordinate of point D is (m,0).

Step-by-step explanation:

Square:

In a square, all sides have the same length.

A (0, 0) and B (0, m).

This means that the length of the sides is m.

So:

From A, adding m vertically, we get point (0,m), which is B.

From A, adding m horizontally, we get point (m,0), which I will call D.

From B, adding m horizontally, we get point (m,m), which I will call C.

The coordinate of point C is (m,m) and the coordinate of point D is (m,0).

Hello,

[tex]f^{-1}(6)=5[/tex]

Answer:

y=-2x+6

Step-by-step explanation:

For this question, you need the slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. We should first find the slope of the equation. The slope is the rise-over-run; this means that the slope is equal to the difference in y over x. One way to find the slope is to count the difference between the two coordinates or you can use the formula. Either way, the y decreases by 2, and the x increases by 1. Therefore, the slope is -2.

Then, find the intercept. One way to do this by plugging in one of the coordinates into the equation we have so far, y=-2x+b. So, plug 4 in for y and 1 in for x; 4=-2(1)+b. Next, solve for b. This equals b=6.

Finally, plug in the slope and intercept for the final answer, y=-2+6.

Answer:

The height of the tank in the picture is:

Step-by-step explanation:

First, to know the height of the tank, we're gonna change the unit of the volume given in liters to cm^3:

So:

Now, we must calculate the height of the tank that we don't know (the other part that isn't with water), to this, we can use the volume formula clearing the height:

Now, we must clear the height because we know the volume (1200 cm^3):

Height = volume of a cube / (long * wide)

And we replace:

Remember this is the height of the empty zone, by this reason, to obtain the height of the whole tank, we must add the height of the zone with water (7 cm) that the exercise give us:

In this form, we calculate the height of the tank in 19.5 cm.

Answer:

Area of a Sector of Circle = (θ/360º) × πr²

[tex]area \: = \: \frac{70}{360} \times \frac{22}{7} \times 10 {}^{2} \\ = 61.11[/tex]

on rounding off to two decimal places:-

Answer:

x=6

Step-by-step explanation:

( x) +(x+2)=14

(2x+2)=14

(2x)=12

x=6

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

Explanation:

The notation <-5,2> is the same as writing the translation rule [tex](x,y) \to (x-5,y+2)[/tex]

It says: move 5 units to the left and 2 units up

The point (6,2) moves to (1,2) when moving five units to the left. Then it ultimately arrives at (1, 4) after moving 2 units up. You could move 2 units up first and then 5 units to the left later on, and you'd still arrive at (1, 4). In this case, the order doesn't matter (some combinations of transformations this won't be the case and order will matter).

---------

Or you could write out the steps like so

[tex](x,y) \to (x-5, y+2)\\\\(6,2) \to (6-5, 2+2)\\\\(6,2) \to (1, 4)\\\\[/tex]

We see that (6,2) moves to (1, 4)

Answer: x = 9.

Step-by-step explanation: Plug in 9 as x.

5+10(9-10) = -15

= 15(-1)

= -15

Hence, x = 9.

Answer:

5abc^2/35a^3c^3

Step-by-step explanation:

To bring the fraction: b/7a^2c to a denominator of 35a^3c^3, find the dividend when the 35a^3c^3 is divided by 7a^2c

=35a^3c^3/ 7a^2c

Recall that

a^x/a^y = a^x-y

Hence

35a^3c^3/ 7a^2c = 5a^3-2c^3-1

= 5ac^2

Now multiply the numerator and denominator by the result

b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2)

Recall that

a^x * a^y = a^x+y

Hence

b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2) = 5abc^2/35a^3c^3

Answer:

[tex]y\ =\ \ \tan\theta\ +2[/tex]

Step-by-step explanation:

Answer:

a) t²- 4x + 4

b) 9y² - 4z

c) 10290v

Step-by-step explanation:

a+b) use identity (ax+b)(ax+c) = ax² + (b+c)x + bc

c) a × bx = abx

Answer:

[tex]p = \{x \ | \ x \in Q^+ \ and \ x \leq \$5,000 \}[/tex]

Step-by-step explanation:

The expression for the cost of John's bike (p) using set notation can written as follows;

We note that the cost of the bike is a member of the positive rational number  and the cost price of the bike cannot exceed $5,000, therefore, it is less than or equal to $5,000, therefore, we get the following set notation;

[tex]p = \{x \ | \ x \in Q^+ \ and \ x \leq \$5,000 \}[/tex]

Answer:

Lines  C and D

Step-by-step explanation:

For a pair of lines to be perpendicular ,

    the product of their slope must be - 1 .

Slope of A:

[tex]2x - 3y = 6\\\\-3y = -2x + 6\\\\y = \frac{-2x}{-3} + \frac{6}{-3}\\\\[/tex]

[tex]y = \frac{2}{3}x - 2\\\\slope_A = \frac{2}{3}[/tex]

Slope of B:

[tex]3x - 2y = - 9\\\\-2y = - 3x - 9\\\\y = \frac{-3x}{-2} - \frac{9}{-2}\\\\y =\frac{3x}{2} + \frac{9}{2}\\\\slope_B = \frac{3}{2}[/tex]

Slope of C:

[tex]y = - \frac{3}{2}x - 5 \\\\slope_C = -\frac{3}{2}[/tex]

Slope of D:

[tex]y = \frac{2}{3}x + 2\\\\slope_D = \frac{2}{3}[/tex]

Product of the slopes = - 1

[tex]slope_A \times slope_B = \frac{2}{3} \times \frac{3}{2} = 1 \neq - 1 \\\\Therefore, not\ perpendicular.\\\\Slope_B \times slope_C = \frac{3}{2} \times \frac{-3}{2} = \frac{-9}{4} \neq -1\\\\Therefore , not \ perpendiucalr.\\\\Slope_C \times slope_D = -\frac{3}{2} \times \frac{2}{3} = - 1\\\\Therefore , perpendicular\\\\\\Slope_A \times slope_D = \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} \neq 1\\\\therefore , not \ perpendicular.[/tex]

Answer:

Zach chose C as the correct answer

Answer:

C. x ≥ -4

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-10x ≤ 40

Step 2: Solve for x

Answer:

C. x ≥ -4

Step-by-step explanation:

To solve this inequality isolate the variable. Do this by using the properties of equality, specifically the division property. So, divide both sides by -10. This equals, x ≤ -4. However, whenever an inequality is divided or multiplied by a negative number the sign must be flipped. Therefore, the final answer is x ≥ -4.

Answer:

I think it's 155 cm

Step-by-step explanation:

=(5×5×3)+(5×2×4)

= 75+40

= 155 cm2

Answer:

18

Step-by-step explanation:

Let

S = sum of the measures of the interior angles of a polygon

n = number of sides of a polygon

The equation is

S = (n - 2) * 180°

Where,

S = 2,880°

S = (n - 2) * 180°

2,880° = (n - 2) * 180°

2,880° = 180°n - 360°

2,880° + 360° = 180°n

3,240° = 180°n

Divide both sides by 180°

n = 3,240° / 180°

n = 18

Good evening everyone, the correct answer is 18 sides.

A polygon with 18 sides' interior angles will add up to 2880 degrees.

Have a blessed night.

Answer:

( -4, -3 )

Step-by-step explanation:

Let's solve by elimination. Reason being there are no variables without coefficients.

−5y+3x=3     Multiply equation by 3. Each term.  

−8y+9x=−12

-15y + 9x = 9       Subtract the to equations

-8y  + 9x = -12

___________

-7y = 21

y = -3

Substitute y into original equation

-5(-3) + 3x = 3

15 + 3x = 3            Subtract 15 both sides

3x = -12                 Divide by 3, both sides

x = -4

Answer:

y=-3

x=-4

Check:

-5(-3)+3(-4) =3

15-12=3

3=3 ✅

-8(-3)+9(-4)=-12

24-36=-12

-12=-12✅

Answer:

I dont know the answer for this question

Answer:

Step-by-step explanation:

No Graph

Answer:

the answer is 6803

Step-by-step explanation:

the first clock want to go next number and this number is 6 according to clockwise and second go 8 third go 0 and fourth go 3

Answer:

6803

Step-by-step explanation:

Answer:

150 + (.05x) = 355

.05x = 205

x = $4100

Step-by-step explanation:

Subtract to find amount of commission made:

355 - 150 = 205

She made $205 in commissions

Divide the amount she made in commission by the percentage she gets:

205 / 0.05 = 4,100

Her sales was $4,100

Answer:

28

Step-by-step explanation:

Answer:

[tex]\displaystyle A = 12[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Integrals

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = x

Interval: x = 1 to x = 5

Step 2: Sort

Graph the function. See Attachment.

Bounds of Integration: [1, 5]

Step 3: Find Area

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer:

f = - [tex]\frac{15}{4}[/tex]

Step-by-step explanation:

Given

f + [tex]\frac{1}{4}[/tex] = - [tex]\frac{7}{2}[/tex]

Multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

4f + 1 = - 14 ( subtract 1 from both sides )

4f = - 15 ( divide both sides by 4 )

f = - [tex]\frac{15}{4}[/tex]

Answer:

hello dude

equation;

7.8x - 100 > 79.86 + 5.8x

and answers are at the photo

HAVE A NİCE DAY

Step-by-step explanation:

greeetings from Turkey ツ

Answer:

1st drop box: (1) 7.5x - 100 > 79.86 + 5.8x

2nd drop box: (4) x > 105.8

3rd drop box: (4) 106

Step-by-step explanation:

1st drop box:

Revenue (the money you receive) must be greater than the costs (money you spend) to make a profit.

2nd drop box:

Use basic algebra to solve for x:

7.5x - 100 > 79.86 + 5.8x

(subtract 5.8x from both sides)

1.7x - 100 > 79.86

(add 100 to both sides)

1.7x > 179.86

(divide both sides by 1.7)

x > 105.8

3rd drop box:

We already know the solution to the inequality is x > 105.8

Notice how all the answer choices are whole numbers and the inequality sign is "greater than" and not "greater than or equal to".

That means it doesn't include 105.8

And it can't be 105 because 105 is NOT greater than 105.8

So the answer is 106

Hope it helps (●'◡'●)

Answer:

1/√2

Step-by-step explanation:

The value of sin 45 is 1/√2

Answer:

80 units

Step-by-step explanation:

KN = MN

9x - 5 = 7x + 7

2x = 12

x = 6

KM = 2KL

KM = 2(6x + 4)

KM = 12x + 8

KM = 12(6) + 8

KM = 80

Answer:

80

Step-by-step explanation: