[8 + (24 x 3)] divided by 7

Use PEMDAS &’ show work .

Answer:

2(x+3)=x-4

2x+6=x-4

2x-x=-4-6

x=-10

Answer:

Option B

The directrix of the parabola is parallel to the axis of symmetry

Step-by-step explanation:

The directrix of the parabola is not parallel to the axis of symmetry. It is as a matter of fact, perpendicular to it.

A parabola is actually a set of points that are equidistant from a given point, the focus, and a given line the directrix.

The axis of symmetry is a line that divides the parabola into two equal halves and it always passes through the focus.

The directrix of the parabola is always perpendicular to this axis of symmetry as they always intersect at right angles.

We want to see which one of the given statements is false. We will see that the false one is B: "The directrix of the parabola is parallel to the axis of symmetry"

So in a parabola, we define the axis of symmetry as the vertical line that divides the parabola in two equal parts.

For a general parabola:

y = a*x^2 + b*x + c

The line of symmetry is at:

x = -b/2a

While we know that in a parabola the directrix is a horizontal line.

So the axis of symmetry and the directrix are perpendicular lines.

Then the statement that is false is B: "The directrix of the parabola is parallel to the axis of symmetry"

If you want to learn more, you can read:

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Answer:

She receives $47.5 less

Step-by-step explanation:

Now, the first thing to do here is to calculate what 15% if the total amount is

That would be 15/100 * 950 = $142.5

The amount she receives less is thus $142.5 -$95 = $47.5

Answer:

The amount less that she received than if she had received 15% of the cost of the meal is $47.5

Step-by-step explanation:

Here we have the amount of dinners served by the waitress = $950

Amount received in tips = $95.00

Amount the waitress would have received if she had gotten 15% of the cost of meals served = 15/100 × $950 = $142.5

Therefore, since she received $95.00, the amount less that she received than if she had received 15% of the cost of the meal is thus;

$142.5 - $95 = $47.5.

Answer:

Area of parallelogram A = base x height = 2 x 1 = 2 (in2)

Hope this helps

:)

Answer:

Step-by-step explanation:

hello : here is an solution

The equation of the line in point-slope form is y - 6 = -7(x+9)

The equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is any point on the line

Given the coordinate points (-9, 6) and (-7, -8)

Get the slope of the line:

slope = -8-6/-7+9

Slope = -14/2

Slope = -7

Using the point (-9, 6), the required slope is expressed as:

y - 6 = -7(x-(-9))

y - 6 = -7(x+9)

Hence the equation of the line in point-slope form is y - 6 = -7(x+9)

Learn more here: https://brainly.com/question/24642959

Answer:

We have equation of a line:

2y - 3x = 4 => y = (3/2)x + 4

The equation of the line that is parallel to above line and passes through the point (6, 7) would have form y = ax + b, and

a = 3/2

6a + b = 7

=> b = 7 - 6a = 7 - 6 x 3/2 = 7 - 9 = -2

=> The equation of that line: y = (3/2)x - 2

Hope this helps!

:)

Answer:

the answer is 0

Step-by-step explanation:

she had -27 in her bank the she added  27

Answer:

it is 279 square feet

Step-by-step explanation:

Answer:

279 sq. feet

Step-by-step explanation:

got the question correct

Edg.

d or DC

Hope this helps!! :)

Answer:

6

Step-by-step explanation:

Answer:

6 students read 2 books

Answer:

We equate the two expressions since they both pass through the center of the circle.

The coordinate of the center of the circle is (2,4)

Step-by-step explanation:

From circle theorem, we know that the perpendicular bisector of a chord passes through the center of the circle.

Since both equations would pass through the center of the circle, we equate them.

So, -2x+8 = 3x-2

Solving for x, we have

3x + 2x = 8 + 2

5x = 10

x = 10/5

x = 2

Substituting x = 2 into any of the equations, we find the y- coordinate of the center of the circle.

y = -2x + 8 = -2(2) + 8 = -4 + 8 = 4

So, the coordinate of the center of the circle is (2,4)

Personal Answer:

The perpendicular bisector of a chord passes through the center of the circle/plate, meaning that both expressions can contribute to the finding the center. By solving for x and y, one can find the coordinates of the center of the circle.

Plato Sample Answer:

Because the perpendicular bisector of any chord of a circle passes though the center of the circle, these two perpendicular bisectors intersect at that point. You can set up a system of equations and solve to find the coordinates of the center.

I hope this helps!

Answer:

8

Step-by-step explanation:

f(x)=5x^2−3x+8

Let x=0

f(0) = 5(0) -3(0) +8

     = 8

Answer:

what grade are you in so i can help

Step-by-step explanation:

Hey there! I'm happy to help! :D

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OVERVIEW

A complex number is a real number combined with an imaginary number (such as i, a number that will equal -1 when squared).

The complex plane is an interesting thing we use to graph complex numbers. The horizontal axis is where you plot the real part of the complex number, and the y-axis is where you plot the coefficient of the imaginary number.

For example, if I had the complex number 4+3i, I would plot the point (4,3) on the complex plane.

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MODULI

The modulus (plural is moduli) is the distance of a complex number from the origin on the complex plane. To find the modulus, you take the real number and the coefficient (basically the points of your graph), square them, add the results, and then you find the square root of that! Here's a little checklist so that you can always find the modulus of any complex number!

STEPS TO FIND MODULUS GIVEN COMPLEX NUMBER

STEP 1: PLOT THE COMPLEX NUMBER

Let's use our complex number 4+3i. If we plot it, the point will be (4,3)

STEP 2: TAKE YOUR VALUES OF X AND Y AND SQUARE THEM

4²=16

3²=9

STEP 3: ADD THESE SQUARES

16+9=25

STEP 4: SQUARE ROOT IT

√25=5

Therefore, the modulus (distance from the origin on the complex plane) of 4+3i is 5.

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SOLVING THE PROBLEM

In our case, we are given a modulus but not a point on the line. Our modulus is the square root of seventeen. We are going to have to the steps to find the modulus backwards to find our points. I will put the steps for finding a complex number given the modulus below.

STEPS TO FIND COMPLEX NUMBER GIVEN MODULUS

STEP 1: SQUARE THE MODULUS

√17²=17

STEP 2: FIND THE SQUARES THAT MAKE UP THE NUMBER

Before, we could just add things we found. Now, we have to find the things that were added! How do we know what things were added to find 17?  Well, we know that we added two squares to find the modulus, so we will subtract a square of some sort and hopefully come up with another square.

Let's see what squares exist that are less than seventeen.

1, 4, 9, 16

(Note that one is 1², 4 is 2², 9 is 3², and 16 is 4²)

Which of these can we add to get 17?

Well, we can do 1 and 16, so this is our result so far.

STEP 3: SQUARE ROOT THE RESULTS

Now, we just find the square roots of what we found in the last problem!

√1=1

√16=4

STEP 4: PLOT THE GIVEN NUMBERS ON THE PLANE AND FIND THE COMPLEX NUMBER

We can plot these either way because the modulus of 1+4i will be the same distance from the origin as 4+i because we only use the commutative property (adding order doesn't matter) when looking for the modulus. You can also have the negative version of either number because you immediately square it, so it can also be -4+i or 4-i! You can also rearrange the equation in tons of ways to figure it out. You could also have both be negative, flip the coefficient placement, etc.!

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SOLUTION

Therefore, the complex numbers that have a distance of √17 from the origin on the complex plane are ±4±i and ±1±4i. So, why did I write all of these funny plus and minus signs? Well, it's so that I didn't have to write all of the possible equations. I believe those equations actually represent 8 possible points we can create with the solution we got.

4+i

-4+i

4-i

-4-i

1+4i

-1+4i

1-4i

-1-4i

You can plug these complex numbers back in and find the modulus with my instructions to find the modulus given a complex number. Now, you will be able to deal with moduli and complex numbers for the rest of your life!

I hope that this helps! Have a wonderful day! :)

Answer:

10

Step-by-step explanation:

You have to get 10 because g(x) means 5 so you multiply it by two.

Answer

The answer is (1/3x)^2

Step-by-step explanation:

g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4

Using the normal distribution, it is found that 0.35% of the testers scored a perfect score.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 20.9, \sigma = 5.6[/tex]

The proportion of scores above 36(perfect scores) is given by one subtracted by the p-value of Z when X = 36, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{36 - 20.9}{5.6}[/tex]

Z = 2.7

Z = 2.7 has a p-value of 0.9965.

1 - 0.9965 = 0.0035 = 0.35.%.

Hence, 0.35% of the testers scored a perfect score.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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Answer:

Slant height = 33 inches

Step-by-step explanation:

r = 12 inches

Lateral Surface Area of cone = 396π square inches

πrl = 396π

π * 12 * l = 396π

[tex]l=\frac{396\pi }{12*\pi }\\[/tex]

l = 33 inches

Answer:

IF THE question is After Fathi prints, what will be the balance in his printing account?

then it is: $1.9

There are 47 pages.

Printing on both sides would divide the number of pages into half.

47/2 = 23.5

2 pages on each side would mean 4 pages on one sheet. Therefore, the number of pages will be further divided by 2.

23.5/2 = 11.75

There cannot be 11.75 pages so we will round it up to 12 pages.

Each page costs $0.25 so 12 pages will cost:

12 x 0.25 = $3

Faithi has $1.1 so new account balance will be:

1.1 - 3 = $-1.9

Therefore, Fathi's balance in his printing account would be negative $1.9.

Answer:

The answer is $-1.90

Answer:

9

Step-by-step explanation:



Answer:

9 hours per night

Step-by-step explanation:

Assuming a week is 7 days

7 * 12 = 14 days

126/14=9

She slept 9 hours per night

Answer:

[tex]\sin B=\dfrac{3\sqrt{58}}{58}[/tex]

[tex]\cos B=\dfrac{7\sqrt{58}}{58}[/tex]

[tex]\tan B=\dfrac{3}{7}[/tex]

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is[tex]\frac{3}{\sqrt{58}}=\frac{3\sqrt{58}}{58}[/tex]. The cosine is the adjacent side divided by the hypotenuse, which in this case is [tex]\frac{7}{\sqrt{58}}=\frac{7\sqrt{58}}{58}[/tex]. The tangent is the length of the opposite side divided by the length of the adjacent side, which in this case is simply [tex]\frac{3}{7}[/tex]. Hope this helps!

Answer:

-5

Step-by-step explanation:

6 - 5 = 1

so 6 + -5 is also equal to 1

Answer:

   q = -5

Step-by-step explanation:

Step  1  :  Simplify:  6/q

Step  2  :

Rewriting the whole as an Equivalent Fraction

Equation at the end of step  2  :

 (6 - q)    

 ——————— -  2  = 0  

    q      

Step  3  :

Rewriting the whole as an Equivalent Fraction

Step  4  :

Pulling out like terms

Answer:    q = -5

Hope this helps.

Answer:

Not always

Step-by-step explanation:

Some fractions, like 1/2, if you add it with 1/2, it equals one.

Halves will always equal one, and they are fractions too, so technically not all addition of fractions are greater than 1.

hope this helped

[tex] {x}^{2} = 11x \\ {x}^{2} - 11x = 0 \\ x(x - 11) = 0[/tex]

Product is equal to 0 when one of multipliers is equal to 0, so

[tex]x = 0[/tex]

Or

[tex]x - 11 = 0 \\ x = 11[/tex]

Answer: x=0 or x=11

Answer:

Step-by-step explanation:

x^2 = 11x

x ( x − 11 ) = 0

x = 0  (by transposing)

x − 11 = 0

x=11  (by transposing)

therefore, x= 0,11

Hope it Helps...pls Mark as Brainliest!!

Answer:

The answer is A

Step-by-step explanation:

Answer:

Use the sum of angle measures rule.

Step-by-step explanation:

If you are given two angles and one missing angle, it's good to remember that all angles add up to 180°.

You can add the the given angles measurements, and subtract them by 180. You should then get the missing angle measure.

Brainilest Is Appreciated.

the answer for the question is b! :)

Answer:

V= 1/3 pi*r^2*

Step-by-step explanation:

The reason the volume of a cone involves using the fraction 1/3, is because it takes three cones to fill up a cylinder. So, if the volume of a cylinder is pi*r^2*h, and a cone is 1/3 the size, then the volume of a cone(which uses the same formula) has to have the 1/3rd in front.

Answer:

Step-by-step explanation:

Givens

If two internal angles of two triangles are congruent, then the third angle is also congruent.

Therefore, the similarity is proven by AAA postulate, which states that if we have three corresponding angles congruent, then those triangles are similar.

Remember that similarity is about proportion between sides and congruence between angles.