A general formula for a parabola is y2=4px.

What is the value of p in the equation y2=−4x?



P=−4
P=−1
P=1
P=4

Answer:

5 blue tiles on each row

Step-by-step explanation:

Given

[tex]Tiles = 80[/tex]

[tex]Rows= 8[/tex]

[tex]Color = \{White, Blue\}[/tex]

[tex]White = Blue[/tex]

See comment for original question

Required

The number of blue in each row

First, we calculate the number of tiles in each row.

[tex]Unit = \frac{Tiles}{Rows}[/tex]

[tex]Unit = \frac{80}{8}[/tex]

[tex]Unit = 10[/tex]

The distribution of tiles on each row is:

[tex]White + Blue = Unit\ Tiles[/tex]

[tex]White + Blue = 10[/tex]

On each row, we have: [tex]White = Blue[/tex]

So, the equation becomes

[tex]Blue + Blue = 10[/tex]

[tex]2\ Blue = 10[/tex]

Divide both sides by 2

[tex]Blue = 5[/tex]

Answer:

B   a = 180 -77-60

Step-by-step explanation:

The angles add to 180 degrees since they form a straight line

77+ 60+a = 180

a = 180 -77-60

The answer is B.

Step-by-step explanation:

We know that the sum of angles in a straight line = 180°

Therefore:

77° + 60° + a = 180°

a = 180° - 77° - 60°

Hence, option B is the answer.

Answer:

-15

Step-by-step explanation:

7-15xz

Answer:

$72.15

Step-by-step explanation:

x= pounds of steak

$[tex]9.62x[/tex] = money spent on steaks

If Neil buys 7.5 pounds of steak then x =7.5

$9.62(7.5) = $72.15

Answer:

$72.15

Step-by-step explanation:

1 pound = $9.62

7.5 pounds = $9.62 × 7.5

= $72.15

Answer:

3/32 in^3

Step-by-step explanation:

volume = length * width * height

V=3/4 * 1/2 * 1/4

V= 3/32

Answer:

3/32inches^2

Step-by-step explanation:

Answer:

[tex]2048 \times( \frac{1}{4} ) {}^{x} [/tex]

Step-by-step explanation:

Objective:Functions

The table of values range and domain isn't proportional so the answer is exponential.

A exponential function is represented by

[tex]ab {}^{x} [/tex]

The y values are decreasing by a common ratio of 4 so our b(our base) cant be negative so it will be

[tex] \frac{1}{4} [/tex]

b=1/4 so plug that in our expression.

[tex]a( \frac{1}{4} ) {}^{x} [/tex]

Let plug in 1,512.

[tex]a( \frac{1}{4} ) {}^{1} = 512[/tex]

[tex] \frac{1}{4} a = 512[/tex]

[tex]a = 2048[/tex]

So our function is

[tex]2048 \times ( \frac{1}{4} ) {}^{x} [/tex]

Answer:

[tex](x−6)(x−4)[/tex]

Step-by-step explanation:

[tex]x^2 - 10x + 24[/tex]

[tex] {x}^{2} −6x−4x+24[/tex]

[tex]x(x−6)−4(x−6)[/tex]

[tex](x−6)(x−4)[/tex]

Answer:

(x - 4 )(x - 6 )

Step-by-step explanation:

[tex]x^2 - 10x + 24 \\\\=x^2 - 6x - 4x +24 \\\\=x(x - 6) -4(x - 6) \\\\=(x - 4)(x-6) \\[/tex]

Answer:

∠IGH = 50°

Hope this helps! :)

Answer:

Part A:

[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers)

Part B:

[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]

Step-by-step explanation:

Part A:

Given [tex]5+x-12=x-7[/tex], combine like terms:

[tex]x-7=x-7[/tex]

Add 7 to both sides:

[tex]x=x[/tex]

Since this is merely a true statement for all real numbers (reflexive property), this equation is true for any real value of [tex]x[/tex].

Therefore,

[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers).

Part B:

Using arbitrary values [tex]x=-4, x=0, x=5[/tex] as requested in part B, verify:

[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]

Answer:

About 255

Step-by-step explanation:

$30 x 8.5= $225

Answer:

(i)unique solution

Explanation:

We solve for x1 thus in the first equation:

x1-3x3=-3

x1-9=-3

x1=-3+9

x1= 6

We solve for a thus in the second equation:

2x1+ax2-x3=-2

2+a2-x3=-2

a2-x3=-4

a2=-4+x3

Answer:

The data represents data right-skewed because it's numerical data are in the right place and showing the percentage of an event/object.

#LearnwithBrainly

Answer:

Factoring square root method quadratic formula completing the square method . x1=3+(check)3 and x2=3-(check)3 .

Step-by-step explanation:

Have an amazing day<3 thirty percent chance this is right 70 it’s wrong

Answer:

3053 in^3

Step-by-step explanation:

volume of a sphere is 4/3*pi*r^3

Diamaeter is 2*r

so r=9

7/3*(3.14)*9^3=3053.63 so answer is D or the bottom

Answer:

Center = (4, -5)

radius = 6

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

Explanation:

The general template of any circle is

(x-h)^2 + (y-k)^2 = r^2

Rewrite the given equation into this form

(x-4)^2 + (y- (-5))^2 = 6^2

We can see that (h,k) = (4,-5) is the center and r = 6 is the radius.

Answer:

7

Step-by-step explanation:

it is because 7 is behind the variables

Answer:

$348

Step-by-step explanation:

Unit rate:

Sales clerk: $12/h

Assistant manager: 1/2 x 12= $6/h

Manager: 2 1/2 x 12= $30/h

Now for how long they will work (7.25 hours long):

Sales clerk: 12 x 7.25= $87

Assistant manager: 6 x 7.25= $43.5

Manager: 30 x 7.25= $217.5

In total: 87 + 43.5 + 217.5= $348 is paid in one day for each of the employees when they work 7.25 hours.

I hope this will help qwq

6x-2+2x=5-2x+3

-8-2 = -8x -2x

10x - 2 = 8

Answer:

6x in the 1st box, 2 in the 2nd, 2x in the 3rd, 3 in the 4th

Next line:

8x in the 1st, 8 in the 2nd

Next line:

10 in the 1st

Answer:

i have no clue

Step-by-step explanation:

Answer:

[tex]x^{2} -36 = 5x[/tex]

[tex]x^{2} -5x -36 =0[/tex]

(x-9)(x+4) = 0

x = 9 or x= -4    

Step-by-step explanation:

Answer: Should be the graph with the slope of (3/2)

An example of something that doesn't have a solution is something like x+2 = x+3

If we subtract x from both sides, then we end up with 2 = 3, which is always false.

No matter what we plug in for x, the original equation will always be false. The right hand side is always 1 larger than the left side. So that's why we don't have any solutions here.

Side note: equations of this form are known as contradictions (or we could say the equation is inconsistent).

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

An example of something that has one solution is 3x+2 = 2x+7

Solving this equation leads us to...

3x+2 = 2x+7

3x-2x = 7-2

1x = 5

x = 5

To verify the solution, we plug it back into the original equation

3x+2 = 2x+7

3(5)+2 = 2(5)+7

15+2 = 10+7

17 = 17

We get the same thing on both sides, so we get a true statement. This confirms that x = 5 is the solution to 3x+2 = 2x+7.

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

An example of an equation with infinitely many solutions is 2x+4 = 2(x+2)

Notice how both sides are the same thing. The 2(x+2) distributes out to get 2x+4

Since we have the exact same identical expression on both sides, this ultimately means no matter what we plug in for x, we'll get a true statement. True statements (like the conclusion at the last section) are simply anything with the same number on both sides after simplifying everything.

Side note: equations of this form are known as identities

Step-by-step explanation:

HOPE IT WILL BE HELPED U DEAR FRIEND

Answer:

The slope of the perpendicular line will 1/3.

Step-by-step explanation:

Answer:

1. The given equation is presented as follows;

[tex]3^{2 \cdot x - 1} = \dfrac{1}{9}[/tex]

The above equation can be rewritten as follows;

[tex]3^{2 \cdot x - 1} = 3^{-2}[/tex]...(1)

Therefore, taking logarithm to base 3 of both sides of the equation, the above equation can be rewritten without an exponent as follows;

[tex]log_3 \left (3^{2 \cdot x - 1} \right) =log_3\left(\dfrac{1}{9} \right) = log_3 \left( 3^{-2} \right)[/tex]...(2)

2. Inverse relationship of exponents is given as follows;

(1/a)ˣ = a⁻ˣ

Therefore, we have;

1/9 = 1/(3²) = (3²)⁻¹ = 3⁻²

Taking log of both sides of [tex]\left (3^{2 \cdot x - 1} = \dfrac{1}{9} = 3 ^{-2}\right)[/tex] gives;

[tex]log_3 \left (3^{2 \cdot x - 1} \right)= log_3 \left( 3^{-2} \right)[/tex]

From logarithm rules, we have;

From equation (2), we have;

[tex](2 \cdot x - 1) \cdot log_3 3 = -2 \cdot log_3 3[/tex]

Therefore, the equation can be simplified by dividing both sides by the common factor, [tex]log_3 3[/tex], as follows;

[tex]\dfrac{(2 \cdot x - 1) \cdot log_3 3 }{log_3 3} = \dfrac{-2 \cdot log_3 3}{log_3 3}[/tex]

Therefore, we get;

2·x - 1 = -2...(3)

3. Solving 2·x - 1 = -2, gives;

2·x - 1 = -2

2·x = -2 + 1 = -1

x = -1/2 = -0.5

x = -0.5

EQUATION 3

The given equation is presented as follows;

[tex]125^{x - 1} = 5^x[/tex]

1. By the property of exponents, we have;

[tex]\left(a^b \right)^x = a^{b \times x}[/tex]

125 = 5³

Therefore, we get;

[tex]125^{x - 1}= \left(5^3\right)^{x - 1} = 5^{3\times (x - 1)} = 5^{(3\times x - 3)}[/tex]

[tex]125^{x - 1}= 5^{(3\times x - 3)}[/tex]

2. Given that we can rewrite the given equation as follows;

[tex]125^{x - 1} = 5^{(3\times x - 3)} = 5^x[/tex]

Therefore;

[tex]5^{(3\times x - 3)} = 5^x[/tex]

Both sides of the equation are given in powers of 5, therefore, the appropriate base logarithm to use on both sides to rewrite the equation is logarithm to base 5

3. Using logarithm, by applying logarithm to both sides, we get;

[tex]log_5 \left (5^{(3\times x - 3)} \right) = log_5 \left(5^x \right)[/tex]

[tex](3\times x - 3) \cdot log_5 5 = x \cdot log_5 5[/tex]

Dividing both sides by log₅5 gives;

[tex]\dfrac{ (3\times x - 3) \cdot log_5 5}{log_5 5} = \dfrac{ x \cdot log_5 5}{log_5 5}[/tex]

∴ 3 × x - 3 = x

3 × x - x = 3

2·x = 3

x = 3/2 = 1.5

x = 1.5

Step-by-step explanation:

Answer:

Mapping congruent triangles

mis the midpoint of ad.

what single transformation is required to map one of

these congruent triangles onto the other?

reflection

o rotation

o translation

o dilation

27

) intro

✓ done

4 of 9​

The single transformation required to map one congruent triangle onto the other is a translation. So, correct option is C.

The given information describes two congruent triangles, triangle ABM and triangle DCM, which share a common side, MC. The lengths of sides BM and MC are given as 27.

To determine the transformation required to map one congruent triangle onto the other, we need to consider the corresponding sides and angles of the triangles.

Since the corresponding sides AB and CD are congruent, and the corresponding side BM and MC are congruent, this suggests a translation transformation. A translation involves shifting the entire shape in a specific direction without any change in size or shape.

Therefore, the single transformation required to map one congruent triangle onto the other is a translation. It would involve moving triangle DCM along the direction of the congruent sides to align it with triangle ABM, while keeping the distances and angles unchanged.

No other transformation (reflection, rotation, or dilation) is needed because the triangles are already congruent, which means they have the same shape and size.

To learn more about transformation click on,

https://brainly.com/question/16356508

#SPJ2

Complete question is:

m is the midpoint of ad. triangles a b m and d c m are connected at point m. sides a b and c d are congruent. the lengths of sides b m and m c are 27. what single transformation is required to map one of these congruent triangles onto the other?

a. reflection

b. rotation

c. translation

d. dilation