Select all of the equations that passes through (5,2) and (0,18)??

25 points

A quadratic equation is an equation that can be placed in the form a·x² + b·x + c = 0

The option that gives the true statement about the quadratic equation is option C.

C. There are two complex solutions

Reason:

The given quadratic equation can be presented as follows;

y = -2·x² + 9·x - 12

The factored form of the quadratic equation is presented as follows;

The radical of the given quadratic equation is therefore;

[tex]\sqrt{9^2 - 4 \times (-2) \times (-12)} = \sqrt{81 - 96} = \sqrt{-15}[/tex], which gives the following solutions;

[tex]x = \dfrac{(-9\pm\sqrt{-15} )}{2 \times (-2)} = \dfrac{-9 \pm \sqrt{-15} }{-4}[/tex]

[tex]x = \dfrac{-9 +\sqrt{-15} }{-4} \ or \ x = \dfrac{-9 -\sqrt{-15} }{-4}[/tex]

Therefore there are two complex solutions;

Learn more about quadratic equations here:

https://brainly.com/question/12402430

Answer:

the answer is c

Step-by-step explanation:

There are two complex solutions.

41.4

Step-by-step explanation:

Hope this helps ∞<3

let me know if its right or wrong

Answer:b

Step-by-step explanation:y=2x-3

explain:

Estimating Differences of Fractions and Mixed Numbers

Estimating Differences of Fractions and Mixed NumbersRecall that estimation is a method for finding an approximate solution to a problem. Even when you are asked to find an exact ko, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0,

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.Here are the steps for estimating the differences of fractions and mixed numbers using benchmarks.

Answer:

[tex]\sqrt{28[/tex]

Step-by-step explanation:

a^2 + b^2 = c^2.

if you draw out the triangle, you can substitute numbers into an equation.

6^2 + b^2 = 8^2

36 + b^2 = 64

b^2 = 64 - 36

b^2 = 28

b = [tex]\sqrt{28}[/tex]

Answer:

irrational duh

Step-by-step explanation:

Answer:

A. [tex] PR = 80.6 yd [/tex]

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

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

[tex] PR = \sqrt{(80 - 10)^2 + (10 - 50)^2} [/tex]

[tex] PR = \sqrt{(70)^2 + (-40)^2} [/tex]

[tex] PR = \sqrt{4,900 + 1,600} [/tex]

[tex] PR = \sqrt{6,500} [/tex]

[tex] PR = 80.6 yd [/tex] (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

Answer:

28+32

Step-by-step explanation:

4(7+8)

= (4*7)+(4*8)

= 28+32

Answer:

[tex]m=2[/tex]

Step-by-step explanation:

Answer:

a = 1

Step-by-step explanation:

Original Equation:

-1 + 8 = 10 - 3a

Add 1 to both sides

8 = 11 - 3a

Subtract 11 from both sides

-3 = -3a

Divide both sides by -3

a = 1

Hope this helps :)

Please consider Brainliest :)

Answer:

a = 1

Step-by-step explanation:

-1 + 8 = 10 - 3a

   7 = 10 - 3a

 -10    -10

-3 = -3a

----   -----

-3     -3

1 = a

Answer:

A.

Step-by-step explanation: Because as you see the dot is past the 2 and is on the third line out of 4, the 4th line is the next number.

Answer:

x = 10/3

Step-by-step explanation:

Answer:

28.4484

Step-by-step explanation:

Answer:

28.46

Step-by-step explanation:

Use this equation: 2 π r

Answer:

[tex]\triangle KLM \sim \triangle GFH[/tex]

Step-by-step explanation:

In similar triangles, the corresponding angles must be congruent. We see from the diagram that [tex]\angle K \cong \angle G[/tex], [tex]\angle L \cong \angle F[/tex], and [tex]\angle M \cong \angle H[/tex]. Therefore, [tex]\triangle KLM \sim \triangle GFH[/tex].

Answer:

no

Step-by-step explanation:

57 isnt a prime number

Answer:

the first

Step-by-step explanation:

if it's perpendicular so is the gradient so y= -5/6 + 12

*I'm so sorry if I'm wrong

i did this last year lol ;-;

The function h(x) is h(x)=5/4 x² - 5/2 x.

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.

Here, vertex is (h, k)=(0, 0) and coordinate point is (x, y)=(-2, 5)

So, 5=a(-2-0)²+0

5=4a

a=5/4

Substitute, a=5/4 and (h, k)=(0, 0) in vertex form we get

f(x)= 5/4 x²

Equation of straight line with coordinates (-2, 5) and (0, 0) is

Slope m=5/2

Substitute, m=5/2 and (x, y)=(0, 0) in y=mx+c we get

0=5/2(0)+c

c=0

Substitute, m=5/2 and c=0 in y=mx+c we get

y=5/2 x

So, g(x)=5/2 x

Now, h(x)=f(x)-g(x)

h(x)=5/4 x² - 5/2 x

h(x)=5/2 x(1/2 x-1)

1) h(x)=0

5/2 x(1/2 x-1) =0

1/2 x-1=0

1/2 x=1

x=2

2) For x=2, h(x) is 0

3) Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Therefore, the function h(x) is h(x)=5/4 x² - 5/2 x.

To learn more about the quadratic function visit:

https://brainly.com/question/27918223.

#SJ5

Answer:

D. 273

Step-by-step explanation:

b+h=34

difference is 8

2b=42

b=21

34-21=13

h=13

13*21=273

answer is D

Answer:

soo whats the question

please repost question without this drawings

Answer:

$40

Step-by-step explanation:

Brian starts at $100, then loses 1/4th of the money,

100/4 = 25,

then you subtract 25 from 100, which gives you 75

With the remaining $75, he spends $15 on girl scout cookies,

75 - 15 = 60

He then has $60 remaining, but while walking home, loses 1/3 of the total amount.

60/3 = 20,

you then subtract 20 from 60, which gives you 40

Therefore, $40 is what is remaining.

Answer:

I believe this would be true

Step-by-step explanation:

Step-by-step explanation:

well what is the question??

Answer:

Babysitting= 13.3 hours

Icecream shop= 6.6 hours

Step-by-step explanation:

Step one:

let the hours for babysitting be x

and the hours for icecream shop be y

we are told that Leah would like to earn $120 monthly

She babysits for $5 per hour and

works at an ice cream shop for $8 per hour

5x+8y=120---------------1

Leah cannot work more than a total of 20 hours per month

x+y≤20-------------2

The system of equation for the situation is

5x+8y=120

x+y≤20

x=20-y

put x=20-y in eqn 1

5(20-y)+8y=120

100-5y+8y=120

3y=120-100

3y=20

y=20/3

y=6.6 hours

put y=6.6 in eqn 2

x+6.6≤20

x≤20-6.6

x=13.3hours

Answer:

The percent error of the cyclist's estimate is 5.63%

Step-by-step explanation:

Percentages

The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.

The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:

Error = 80 miles - 75.5 miles = 4.5 miles

To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:

Error% = 4.5 / 80 * 100 = 5.625%

Rounding to the nearest hundredth:

The percent error of the cyclist's estimate is 5.63%

Answer:

First question is 109

Second question is 45, but I guess it's a typo with 145.