An air show is scheduled for an airport located on a coordinate system measured in miles. The air traffic controllers have closed the airspace, modeled by a quadratic equation, to non-air show traffic. The boundary of the closed airspace starts at the vertex at (10, 6) and passes through the point (12, 7). A commuter jet has filed a flight plan that takes it along a linear path from (–18, 14) to (16, –13). Which system of equations can be used to determine whether the commuter jet’s flight path intersects the closed airspace?
StartLayout Enlarged Left-Brace 1st Row y = one-fourth (x minus 5) squared + 10 2nd Row y = negative one-half x + 5 EndLayout
StartLayout Enlarged Left-Brace 1st Row y = one-fourth (x minus 5) squared + 10 2nd Row y = negative 2 x minus 22 EndLayout
StartLayout Enlarged Left-Brace 1st Row y = one-fourth (x minus 10) squared + 6 2nd Row y = Negative StartFraction 27 Over 34 EndFraction x minus Five-seventeenths EndLayout

Answer:

-5 times 2 is -10

-5+2=-3

Thus the answer is -5 and 2

Step-by-step explanation:

Hope this helps!

Answer:

C.) 8.0%

Step-by-step explanation:

8.60/7.92= 0.68

0.68/8.60=0.079 which rounds up to 0.08

0.08= 8.0%

first lets change this problem into an equation...

0.09*x+0.15*3000=0.12(x+3000)

Step 1: Simplify both sides of the equation.

0.09x+(0.15)(3000)=0.12(x+3000)

0.09x+(0.15)(3000)=(0.12)(x)+(0.12)(3000)

0.09x+450=0.12x+360

Step 2: Subtract 0.12x from both sides.

0.09x+450−0.12x=0.12x+360−0.12x

−0.03x+450=360

Step 3: Subtract 450 from both sides.

−0.03x+450−450=360−450

−0.03x=−90

Step 4: Divide both sides by -0.03.

-0.03x/-0.03=-90/0.03

Answer:

3000

Step-by-step explanation:

Answer:

axis of symmtery: x = 3 or h = 3

Step-by-step explanation:

The vertex (h, k) of a parabola is the point wherein the graph intersects the axis of symmetry—the imaginary straight line that bisects a parabola into two symmetrical parts, where x = h.

Regardless of whether the quadratic equation is in standard or vertex form, the x-coordinate (h) of the vertex determines the axis of symmtetry, hence, x = h.

Therefore, given that the vertex of a parabola is at point (3, 5), then it means that the axis of symmetry occurs at x = 3 or h = 3.      

Sydney has$42 dollars in her piggy bank Step-by-step explanation: if she put one dollar in her bank for 3 weeks you do 7x3 and get 21 you double that and then you 21x2 and get 41 add that one dollar Tell me if im wrong

Sydney would have $7 in her account in 3 weeks.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

Sydney put $1 in her Piggy bank. For the next three weeks Sydney doubled the amount she put in her bank.

Assume that she saves $y in [x] weeks. We can model the linear function of her saving as -

y = 1 + 2x

or we can write -

y = 2x + 1

For x = 3, we will have -

y = 7

Therefore, Sydney would have $7 in her account in 3 weeks.

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

Answer:

The inside angles of a pentagon add up to 540 degrees. The four given angles add up to 433 which means that the interior angle that remains unknown is 107 degrees. That means that the measure of angle a is 73

Step-by-step explanation:

Answer:

the answer is 9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

PEMDAS

parenthesis first

(1+2) = 3

then multiply and divide left to right

6/2x3

6/2 = 3

3x3 = 9

Answer:

maybe a 2

Step-by-step explanation:

Answer:

3 miles per hour

Step-by-step explanation:

divide 12 by 4 then you will get 3

the ratio will became 12:4 = 3:1

Answer: undefined

Step-by-step explanation:

Answer:

78° +78°+3x-12= 180 {being isosceles triangle and sum of 3angles of a triangle is 180°}

156+ 3x-12=180

144+3x=180

3x=180-144.

3x=36

[tex]x = \frac{36}{3} [/tex]

x=12

Answer:

2 would technically be larger, but if you were to round 1.999 to the nearest tenth, you would get 2.

Step-by-step explanation:

How do you round a decimal?

Have a great day! :D

Answer:

its actually a trick question because they are both equal

Step-by-step explanation:

Answer:

the answer is p=10.5

Step-by-step explanation:

5p+3=15

5p=15-3

p=12/5

p=10.5

[] 10x + 4

(5x) + (2x + 5) + (3x - 1)

5x + 2x + 3x + 5 - 1

10x + 4

[] 4x + 4

Bottom: (1/2) * (3x -1) = 1/2x - 1/2

Left side: (1/2) * (5x) = 5/2x

Right side: (1/2) * (2x+5) = x + 5/2

\/

Add them together:

(x + 5/2) + (5/2x) + (1/2x - 1/2)

x + 5/2x + 1/2x + 5/2 - 1/2

4x + 4

[] The Triangle Midsegment Theorem (midsegment = 1/2 times triangle base) and then calculated by adding the three midsegments together.

     Hope this helps and is correct, have a nice day! :D

check attached file for a diagram I made

     Note: I realized after it was made I did the midsegment wrong so ignore that part! It should be a triangle with the three points in the middle of the sides.

Answer:

A) 3x -y = -3

B) x + y = 11

Adding both equations we get:

4x = 8

x = 2   and y = 9

Step-by-step explanation:

Answer:

-4 - 20z sorry if I'm wrong

Answer:

Nicole's rate: 50 mi/h

Kim's rate: 45 mi/h

Answer:

where is the answer choices or what needs to been done? :(

Step-by-step explanation:

Answer:

2+8y=3

Step-by-step explanation:

8y = 1

y = 1/8

Answer:

2+8y=3

Step-by-step explanation:

8y = 1

y = 1/8

Answer:

WBX straight angle/obtuse

WBZ 90

YBZ obtuse/straight

YXZ not angle

XBY 90

ZBY straight/obtuse

ZXB not angle

ZBW 90

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Segment RW congruent to segment XY

Step-by-step explanation:

SAS means side-angle-side.

You are given two congruent angles, so you already have the angle you need for SAS.

By the reflexive property, side XW is congruent to itself, so now you have a side also.

You need another pair of sides, but the two sides must include the angle.

Answer: Segment RW congruent to segment XY

Answer:

Jackson spent $59.48 altogether

Step-by-step explanation:

15.98+19= 34.98

34.98+24.50= 59.48

Answer:

The y-intercept is (0,-12)

Step-by-step explanation:

Graph the equation

Answer:

2643

Step-by-step explanation:

Answer: 80 children are in the 3rd grade

Step-by-step explanation:

Call the number of children in the 3rd grade = a

=> 64 = [tex]\frac{4}{5}[/tex] x a

a = 64 : 4/5

a = 80

Answer:

p and r im not sure

Step-by-step explanation:

Answer:

ok f€%&;¿

Step-by-step explanation:

a gktdktsktsngzngznfzktskrs

Answer: f(x)= -x^2

Step-by-step explanation:

got it right on edge

Answer:

Step-by-step explanation:

1. =6.1*105

=6.1*(10*10*10*10*10)

=610000

2. =0.43*10−2

=0.43* 1 /10*10

=0.0043

3. 2.1(104)

=2.1*104

=2.1*(10*10*10*10)

=21000

Answer:

below

Step-by-step explanation:

#1:) 610,

#2:) 4300

for thousand three hundred

#3:) 21,000

(I belive that's it)