What is the Slope of the line containing points Q(-4,-1) and T(0, 9)?​

Answer:

1. Look at the screenshot below.

2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.

Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.

It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.

Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.

The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.

Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.

A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.

Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.

Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .

Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .

Either 25/4 or 6.25

Answer:

[tex]-2[/tex]

Step-by-step explanation:

When [tex]C=-2[/tex], the variable [tex]x[/tex] will be removed from the equation ([tex]2x-2x=0[/tex]). Therefore, we are left with [tex]-16\neq 16[/tex]. Thus, when [tex]C=-2[/tex], the given equation has no solutions.

Answer:

84ft

Step-by-step explanation:

The formula to find the area of a parallelogram is b x h.

The base is 14ft and the height is 6ft. Multiply these together.

14 x 6 = 84ft

[tex]\frac{12}{5}[/tex]  or  [tex]2 \frac{2}{5\\}[/tex]

Keep [tex]\frac{2}{5}[/tex] the same

change the division sign to multiplication [tex]\frac{2}{5} \\[/tex] × [tex]\frac{1}{6\\}[/tex]

Flip  [tex]\frac{1}{6}[/tex]  so that the denominator is on top and the numerator is on the bottom like this [tex]\frac{6}{1\\}[/tex]

After doing those steps your new equation will look like this-  [tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex]

[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex]        Now all you have to do is multiply

1st- multiply 2x6

2nd- multiply 5x1

[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1\\\\}[/tex] = [tex]\frac{12}{5}[/tex]

So your answer is [tex]\frac{12}{5\\}[/tex]  or [tex]2 \frac{2}{5}[/tex]

Hope my explanation helps you out!

Answer:

11/ 20

Step-by-step explanation:

Given that:

Fraction traveled on first day = 1/4

Fraction traveled on second day = 1/5

In fraction form, the total distance to be traveled is represented as 1

Total distance covered during the two days ;

(1/4 + 1/5)

L.C.M of 5 and 4 = 20

(5 + 4) / 20

= 9/20

Distance left to cover :

Total distance - total distance already covered

1 - 9/20

(20 - 9) / 20

11 / 20

Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = ⁷/₂

(14, -3)    ⇒   x₀ = 14,  y₀ = -3

So, the point-slope form of the equation:

y + 3 = ⁷/₂(x - 14)

So::

y + 3 = ⁷/₂x - 49         {subtract 3 from both sides}

y = ⁷/₂x - 52             ←  the slope-intercept form of the equation

Answer:

x=-9

Step-by-step explanation:

2(14+x)=x+19

28+2x=x+19

x=-9

Answer:

Step-by-step explanation:

Vertex form of quadratic equation with coordinate of vertex (h, k) is

y = a(x - h)² + k

Answer:

 (2•3a3b4)

Step-by-step explanation:Equation at the end of step 1

 -2ab • (0 -  (3a2 • b3))

STEP

2

:

Multiplying exponential expressions :

2.1    a1 multiplied by a2 = a(1 + 2) = a3

Multiplying exponential expressions :

2.2    b1 multiplied by b3 = b(1 + 3) = b4

Answer:

5 marbles

Step-by-step explanation:

A bag contains

8 white marbles

6 red marbles

4 blue marbles.

Total number of marbles is :

8 + 6 + 4

= 18 marbles

Based on this current proportion

The Probability of choosing a blue marble = Number of blue marbles/ Total number of marbles

In order for the Probability of choosing a blue marble to be 1/2

The number of blue marbles has to be:

= 18 marbles × 1/2

= 9 blue marbles

From the question we have 4 blue marbles, hence:

9 blue marbles - 4 blue marbles

= 5 blue marbles

Therefore, 5 blue marbles must be added to the bag so that the probability of choosing a blue marble is 1/2.

Answer:

The actual answer would be 10 marbles.

Step-by-step explanation:

1. we had started off by adding 8+4+6 to get the total number of marbles. If we do that, we will get that there are 18 marbles in total.

2. here is where the others went wrong. If we say that we need 5 blue marbles to get 9/18 blue marbles, you are wrong. This is because we have to add 5 to the total number of marbles as well. Then we get 9/23 marbles. which is clearly not 1/2,

3. However, if we multiply 5 by 2, we get 10 blue marbles. if we add 10 to the original 18, we get 28 total marbles. Now if we add 10 to 4 we get 14 blue marbles.

SUCCESS!!!

14/28 blue marbles is 1/2, therefore we must add 10 blue marbles.

Answer:

Actually the one that you have marked is the answer

Step-by-step explanation:

Divide 2 by 5 and get 0.4. Next in each answer choice divide each number by each other beginning with the lowest number by the highest number.

Given:

The equation is

[tex]\dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4[/tex]

To find:

The solution of the given equation.

Solution:

We have,

[tex]\dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4[/tex]

It can be written as

[tex]\left(\dfrac{5}{6}+\dfrac{6}{7}-\dfrac{9}{14}\right)h=4[/tex]

[tex]\left(\dfrac{35+36-27}{42}\right)h=4[/tex]

[tex]\left(\dfrac{44}{42}\right)h=4[/tex]

[tex]\dfrac{22}{21}h=4[/tex]

Multiply both sides by 21.

[tex]22h=84[/tex]

Divide both sides by 22.

[tex]h=\dfrac{84}{22}[/tex]

[tex]h=\dfrac{42}{11}[/tex]

Therefore, the solution of the given equation is [tex]h=\dfrac{42}{11}[/tex].

Step-by-step explanation:

You have to do first and second derivatives :

y = a sin 3x + b cos 3x

dy/dx = 3a cos 3x - 3b sin 3x

d²y/dx² = - 9a sin 3x - 9b cos 3x

Next, you have to compare it :

let d²y/dx² = ky,

-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)

-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)

Therefore, k is equals to 9.

Answer:

D

Step-by-step explanation:

Answer

24481232

Step-by-step explanation: all you gtta do is do this do your work

Answer:

90000

Step-by-step explanation:

this baby has big brain

Answer:

23 marbles

Step-by-step explanation:

Number of children = 10

Number of marbles = 180

Since Betsy gets the most and no 2 children gets the same number of marbles

The least number of marbles Betsy could get will be x ; with the other 9 children receiving 1 less each

That is :

Betsy = x

9th child = x - 1

8th child = x - 2,... 1st child = x - 9

Hence,

(x + x - 1 + x - 2 + x - 3 + x - 4 + x - 5 + x - 6 + x - 7 + x - 8 + x - 9) = 180

10x - 45 = 180

10x = 180 + 45

x = 225 / 10

x = 22.5

x = 23

Hence, the least Betsy could get is 23 marbles

Answer:

wth is this typa math

Step-by-step explanation:

i dunno

Answer:

E & J are proportional to each other.

Step-by-step explanation:

by counting how many squares there are on each block we can see that they're both they same size only in a different position. On both short sides the blocks are 4 squares long, and on each long side the blocks are 6 squares long.

Answer:

what is the calculation question you want in money

Answer:

433

Step-by-step explanation:

i hope i helped<3

Answer:

Vertical

Step-by-step explanation:

There are opposite of each other, making them the same angle

Answer:

84[hope this helps!]

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

.8×100=80

4+80=84

q=84

Answer:

125%

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.

Hope that helps

Have a good day :)

Answer:

Arianna should receive $3.05 in change.

Step-by-step explanation:

In order to find the answer, you have to find the cost of the three balls by multiplying the cost per ball for the number of balls and then, you have to subtract this amount from five to find the change Arianna should receive:

$0.65*3=$1.95

$5-$1.95=$3.05

According to this, the answer is that Arianna should receive $3.05 in change.

Answer:

p

Step-by-step explanation:

Answer:

1.  There will be 4 ice cream containers and the number of ice cream cone package is 3.

2.  will be able to make 36 ice cream cones and this is the fewest number of ice cream cones.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The blue line is the one that that slants from lower right to upper left. It has a negative slope as in - 1/2. The line is solid so that means the values of the line are included in the expression.

The area covered is purple, so y is less than the y values of the line. C is the only value that shows the paragraph above.

But we have to check the other inequality just to make sure you are right.        y >  2/3 x - 4. The line is not included, so C is your answer.

Answer:

x+5

Step-by-step explanation:

Answer:

+ 5

Step-by-step explanation:

Add the numbers 2 + 3 ---------- 5x + 5 - 4x

Combine like terms 5x - 4x------------- 1x + 5

Multiply by one

= x + 5

Answer:

Step-by-step explanation:

13:6

Another way to write this is 13/ or 13: or 13 to 6.

Step-by-step explanation: Here is my work:

It pretty sloppy but as long as it helps you!