MATHEMATICS HIGH SCHOOL

Square RSTU dilates by a factor of 1/2 with respect to the origin. If R'S' is 2 units, how many units does RS have?0.5 units

2 units

1 unit

4 units

6 units

Answers

Answer 1
Answer: If square RSTU dilates by a factor of 1/2 with respect to the origin, than:
R`S` = 1/2 · RS
2 = 1/2 RS
RS = 2 · 2 = 4
Answer: D ) 4 units.
Answer 2
Answer:

Answer: 4 units

Step-by-step explanation:

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Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years.Enter an inequality that can be used to represent this situation in the first box, where x represents Juanita's cousin's age.Enter the youngest age Juanita's cousin can be in the second box.
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Solve the system my elimination 9x + 2y = 9 6x - 2y = -4

Hi, I need help with this equation  x²+y²-4x-6x+9=0

Answers

x^2+y^2-4x-6y+9=0\n\n x^2-4x+16+y^2-6y+9-16=0\n\n(x-4)^2+(y-3)^2=16\n\nthis\ is\ the\ equation\ of\ a\ circle:\ \ (x-a)^2+(y-b)^2=r^2\n\ncenter\ \ S=(4;3)\ \ \ and\ \ \ radius\ \ r =4

Let f(x) = x^2 + 6 and g(x) = x+8/x. Find (g ° f)(-7)

Answers

(g o f)(x)=g(f(x))

basically put f(x) for every x in g(x) or evaluate f(x) for taht given value of x and then sub that for x in g(x)
evaluate woould be easier
f(-7)=(-7)^2+6
f(-7)=49+6
f(-7)=55

sub for x in g(x)
g(55)=55+8/55
g(55)=63/55
g(55)=1.145454545454

answer would be 63/55
Short Answer: 55.145454545...
Working Out: gof(x) = (x^2 + 6) + 8/(x^2 + 6)
gof(-7) = ((-7)^2 + 6) + 8/((-7)^2 + 6)
= (49 + 6) + 8/(49 + 6)
= 55 + 8/55
= 55 + 0.145454545...
= 55.145454545...
                      

If m<3 + m<4 = 180°, then 2<3 and m<4 are
supplementary angles

Answers

Answer:

Step-by-step explanation:

is this a true false? If yes then its true

A house purchased for $220000 has it's value grow at a constant rate of 4%. Determine the approximatevalue of the house 5 years after purchase

Answers

Answer:

the answer is 264000.....

Answer:

264,000

Step-by-step explanation:

4% of 220000 is 8800

8800 x 5 = 44000

220000 + 44000 = 264000

Please help don’t understand

Answers

Answer:

r = 4

Step-by-step explanation:

If we clearly observe a point and the slope of the line are given.

Point=(5, -6)   slope= -5

We know that the equation of the line having slope m and passing through point (x_(1) , y_(1))  is

y-y_(1)=m(x-x_(1))

Now the equation of the line is y-(-6)=(-5)*(x-5)

y+6=-5x+25

5x+y=19

Now given that (3,r) lies on this line

5*3+r=19

r = 4

Find the distance between the two points rounding to the nearest tenth(if neccesary) (0,-9) and (-4,-3)

Answers

Answer:

To find the distance between two points, we can use the formula for the distance between two points in a coordinate plane, which is:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Given the coordinates of the two points:

Point 1: (0, -9)

Point 2: (-4, -3)

Let's calculate the distance using the formula:

Distance = √((-4 - 0)^2 + (-3 - (-9))^2)

= √((-4)^2 + (-3 + 9)^2)

= √(16 + 36)

= √52

≈ 7.2 (rounded to the nearest tenth)

Therefore, the distance between the points (0, -9) and (-4, -3) is approximately 7.2 units (rounded to the nearest tenth)
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