Review the graph of piecewise function g(x).

Answer:

[tex]x = 7[/tex]

[tex]y =16[/tex]

Step-by-step explanation:

Given

The attached image

Required

Find x and y

From the sign on each line, we have:

[tex]y - 4 = x + 5[/tex]

[tex]2x + 5 = x + 12[/tex]

Collect like terms

[tex]2x-x=12 - 5[/tex]

[tex]x = 7[/tex]

We have: [tex]y - 4 = x + 5[/tex]

Substitute [tex]x = 7[/tex]

[tex]y - 4 = 7+5[/tex]

[tex]y - 4 = 12[/tex]

So:

[tex]y = 12+4[/tex]

[tex]y =16[/tex]

Answer:

consider r to be x. and t to be y

[tex]consider : (0, 5) \: and \: (1, 3) \\ gradient = \frac{(3 - 5)}{(1 - 0)} \\ = - 2 \\ y = mx + c \\ consinder : (1, 3) \\ 3 = ( - 2 \times 1) + c \\ c = 5 \\ therefore : equation \: is \\ = > y + 2x - 5 = 0[/tex]

Answer:

Step-by-step explanation:

To get the solution lying in the shaded region,

Justify the equation with the given options,

Option (1)

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

For (1, 1),

[tex]\frac{1^2}{16}+\frac{1^2}{4}\leq 1[/tex]

[tex]\frac{1}{16}+\frac{1}{4}\leq 1[/tex]

[tex]\frac{1+4}{16}\leq 1[/tex]

[tex]\frac{5}{16}\leq 1[/tex]

True.

Therefore, point (1, 1) justifies the equation.

Option (2)

For (4, 1),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{4^2}{16}+\frac{1^2}{4}\leq 1[/tex]

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

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

False.

Therefore, point (4, 1) doesn't justify the equation.

Option (3)

For (-1, 2),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{(-1)^2}{16}+\frac{(2)^2}{4}\leq 1[/tex]

[tex]\frac{1}{16}+1\leq 1[/tex]

[tex]1\frac{1}{16}\leq 1[/tex]

False.

Therefore, point (-1, 2) doesn't justify the equation.

Option (4)

For (2, -2),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{2^2}{16}+\frac{(-2)^2}{4}\leq 1[/tex]

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

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

False.

Therefore, point (2, -2) doesn't justify the equation.

Option (1) will be the answer.

Answer:

(-5,-3)

Step-by-step explanation:

The answer is (-5,-3)

Answer:

a. reflection across one of the lines of symmetry of the figure.

Step-by-step explanation:

Answer:

-5

-8

49

Step-by-step explanation:

if a circle has a enter of (-5,-8) the first part looks like

(x+5)²+(y+8)²

to find the radius just plug in x=2 and y= -8

(2+5)²+(-8+8)²

7²+0=49

Answer:

45

Step-by-step explanation:

volume=length x width x height

5x3x3=45

Answer:

x would be 6

Step-by-step explanation:

This is becuase since the scale factor from Fig A to B is 0.25, the length of all of the sides follows this rule.

Since x on Fig A and 1.5 on Fig B are corresponding sides, you can do:

x * 0.25 = 1.5

x * 0.25 (4) = 1.5 (4)

x * 1 =6

x = 6

Answer:

I believe it would be D

Step-by-step explanation:

Since it implies that if A is true, then B is true, it would be D.

"If A" implies that it can be both true or false, but "then B" implies that it must be B if A is true.

Hence my choice of D.

Answer:

Step-by-step explanation:

Chords having equal measures are equidistant from the center of the circle.

Since, VW = XY

Therefore, ZP = ZR = 15 units

A perpendicular line drawn from the center of a circle to the chord is the bisector of the chord.

VR = WR = 20 units

By applying Pythagoras theorem in ΔZRV,

ZV² = ZR² + VR²

ZV² = (15)² + (20)²

ZV = √(225 + 400)

ZV = √625

ZV = 25 units

Therefore, measure of radius ZV = 25 units.

VW = XY [Given]

Therefore, XY = 2(20)

                        = 40 units

x= -1/2 is the answer to your question. Mark as brainliest!!!!

Answer:

should be C

Step-by-step explanation:

They are congruent

In the picture, the angle diagnoly across from the 4th angle is congruent (or equal to) the angle making 5 and that angle congruent.

Answer:

0

Step-by-step explanation:

0 is an integer.

plz mark as brainliest

Answer:

b)   x = -7

Step-by-step explanation:

x = -7 is a vertical line

vertical lines are parallel to the y axis

9514 1404 393

Answer:

  60°

Step-by-step explanation:

You recognize the ratio of the long side to the short side as 2 : 1, so you know this is the 1 : √3 : 2 "special" triangle that has angles 30°, 60°, 90°. The angle of interest is opposite the longer side, so is the 60° angle.

  x° = 60°

_____

In case you don't remember the "special" 30-60-90 and 45-45-90 right triangles, you can use the relevant trig function:

  Cos = Adjacent/Hypotenuse

  cos(x°) = 16/32 = 1/2

  x° = arccos(1/2)

  x° = 60°

Nikki swam 375 yards on Thursday.

One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.

Given

Nikki swam 375 yards on Thursday.

425+450+350= 1,225

1,600- 1,225= 375

To learn more about addition refer to:

https://brainly.com/question/4721701

#SPJ2

Answer:

9weeks 2days = (9 × 7) + 2 = 63 +2=65 days

Step-by-step explanation:

Answer:

65 days

Step-by-step explanation: 7 days in a week so times that by 9 because its 9 weeks and that is 63 and add 2 more days

Answer:

28.3

Step-by-step explanation:

the formula for area is πr²

where π is 3.14

r is 3

area= 3.14 x 3²

area= 3.14 x 9

area= 28.28 approximately 28.3

Answer:

2

Step-by-step explanation:

5x + 4y = 8

5*0 + 4y = 8

y = 8/4

y=2

Answer:

115°

Step-by-step explanation:

x =180-65=115°

------

Answer:

-3

Step-by-step explanation:

(-6)/(+2)

-6/+2

-3

Answer:

C. -3

Step-by-step explanation:

If you have a negative and a positive number the outcome will always be negative. So you just simply take 6 and take half of it which is 3. if you divide something by 2 you are just splitting it in half.

Answer:

-37 / 4

Step-by-step explanation:

Answer:

x = 88

Step-by-step explanation:

Becuase this is a quadrilateral,  the opposite angles total 180 degrees. So, the opposite of x is 92. That would mean that x + 92 = 180. We subtract 92 from both non-variable sides to get the x by itself. 180 - 92 = 88. 92 - 92 = 0. this leaves us with X = 88

hope this helps

Answer:

(3d+3) + (3d+3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is the same way:

       we know that

if A , O and B lie on a straight line segment

then

∡AOY+∡YOZ+∡ZOB=180°

so

3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°

the answer is

x=36°

please mark me as brainliest

Answer: 0

Step-by-step explanation:

Answer:

500 miles

Step-by-step explanation:

20 + .12m = 80

.12m = 60

m = 60/.12

m = 500

Answer:

6.3 billion people

Step-by-step explanation:

[tex]A=5(1.03)^t[/tex]

The "base year" is 1987 when there were 5 billion people.  That year corresponds to  t = 0  (t measures years after 1987)

That makes 1995 = 1995 - 1987 = 8, so t = 8.

Evaluate [tex]A=5(1.03)^8 \approx 6.3[/tex]