how are 4:1 and 12:3 different

9514 1404 393

Answer:

  a = 1

Step-by-step explanation:

The altitude is perpendicular to line QR, so point Q lies on a line through R that is perpendicular to the given altitude line. The given altitude line has a slope of -1. This means line QR will have a slope of 1, so the line QR in point-slope form is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -4 = 1(x -3)

Since point Q(a, 2a) is on this line, its coordinates will satisfy this equation.

  2a -4 = a -3

  a = 1 . . . . . . . . add 4-a to both sides

_____

The line with slope 2 on the attached diagram is the locus of all possible points Q. The one of interest is the one that is on the perpendicular through R.

__

Additional comment

In order for a line to be an altitude to side QR, it must go through point P. The given line (y=-x+6) does not go through point P. We assume that the line y=-x+5 is the one that is intended.

Answer:

1.) false, was rotated 90 degrees clockwise

2.) false, was flipped over y-axis

3.) true

Step-by-step explanation:

Answer:

C. 6.2 inches

Step-by-step explanation:

There are many ways to do this but I like to cross the miles out by putting it on the denominator

927 miles * 1 inch/150 miles = 6.18

Rounded is 6.2

Answer:

6.2

Step-by-step explanation

it should be this I took the same test last year let me know if Im worng

Answer:

Step-by-step explanation:

Here a = 8, b = 4 and c = -2.  The discriminant here is b^2 - 4ac, which, when the above coefficients are substituted, results in:

discriminant = (4)^2 - 4(8)(-2), or 16 + 64, or 80.

The solutions are:

      -(4) ± √80         -4 ± 4√5        4(-1 ±√5)        -1 ± √5

n = ------------------ = ----------------- = --------------- = --------------

            2(8)                    16                 4^2                  4

Answer:

41

Step-by-step explanation:

1/2 x 10 x 8.2

We will convert the decimal to fraction first

1/2 x 10 x 41/5

Then we will reduce the numbers with the greatest common factor (5)

5 x 41/5

We will remove the fives since they are the common factors

And we will remain with the answer 41

Answer:

Step-by-step explanation:

a) y = [tex]\frac{7}{2}[/tex]X

b) 7/2 * 4 = 157.5

c) y = [tex]\frac{7}{2}[/tex]X + 42.43

d) 70.71  more minutes to finish reading  :)

Answer:

1) y = 30x (same thing as y = 30x + 0)

2) y = 24x (same thing as y = 24x + 0)

3) 270

4) 216

Step-by-step explanation:

Hope this helps :)

Answer:

you have exactly one

Step-by-step explanation:

hope it helped

Answer:

7

Step-by-step explanation:

absolute value is the positive numeric value of the number between the lines.

Answer:

the number of weeks she needs to save.

Answer:

They each will get 1/3

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

it doesn't describe that

Answer: It describes the distance between 6 and -6 on the number line.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Hope it helps ¯\_(ツ)_/¯

Answer:

the answer is C :))

Step-by-step explanation:

Answer:

$45,262  

multiply 45000*6.5%

Step-by-step explanation:

Answer:

$2762.5

Step-by-step explanation:

6.5%×42,500=2762.5

$2762.5 is the sales tax being charged.

$45,262.5 is the total price.

Answer:

A: 5.89 liters

Step-by-step explanation:

I got it correct on a quiz I did that had this question.

Answer:

I am pretty sure its 68

Step-by-step explanation:

10 * 2 + 18 * 2 + 6 * 2

Answer:

C

Step-by-step explanation:

like terms are terms that are the same, so in c its 7x and 9x. so when you add them it will be 16x, or you can multiply them or do whatever you want with them

Answer: C

Step-by-step explanation:

i may be wrong though

Answer:

This one is B as well

Step-by-step explanation:

Hope This Helps :)

Question:

In triangle TUV, the measure of angle V = 90°, TV = 56, UT = 65, and VU = 33. What is the value of the tangent of angle U to the nearest hundredth?

_________________________________________________

Solution:

The triangle should look like that in the attachment.

Tangent of U = opposite side/adjacent side.

= 56/33

= 1.69696969.....

Rounding off to nearest hundredth,

= 1.697

Answer:

19 games

Step-by-step explanation:

Henry went to an amusement park with $100.00 and spent all of it.

Starting amount = $100.00

He spent $42.50 on admission to the park.

Amount left = $100.00 - $42.50

Amount left = $57.5

He spent 20% of the money on food.

Amount spent = 20%  of amount left ($57.5) = $11.5

Amount left = $57.5 - $11.5 = $46

He paid a $12.75 fee for admission into a water park located inside the amusement park.

Amount left = $46 - $12.75

Amount left = $33.25

He spent the remainder of his money on games that cost $1.75 each. How many games did Henry play?

Number of games = Amount left / Cost per game

Number of games = $33.25 / $1.75 = 19

Answer:

VW = √2

Step-by-step explanation:

y = x+1

x²+y²+2x+2y+1=0          (x²+2x+1) + (y²+2y+1) = 1

(x+1)² + (y+1)² = 1  : Circle: (x-h)² + (y-k)² = r²     Center (O): (h , k) = (-1 , -1) r = 1

solve for roots: x²+(x+1)²+2x+2(x+1)+1=0

2x² + 6x + 4 = 0          x²+3x+2=0

(x+1)(x+2)=0

x = -1 or x = -2

y = 0 or y = -1

V and W: (-1 , 0) and (-2 , -1)  forms a 90° center angle

√vw = √1²+1² = √2

Answer:

D

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

There are 10 hats total, one of them being baseball. You can put this into a fraction: 1/10. Divide that fraction and you get 0.1, or, 10%

Answer:

A. ( -7, -3) and ( 7, -3)

Step-by-step explanation:

I looked at the picture and I know it is because I already learned this

hello so the answer is 3147831740.3424

Answer: C

Step-by-step explanation:

The area of a circle is ∏r2- (Pi)(Radius)-squared

The Answer is C

Answer:

The vertex of the parabola is at (1,5), opens upwards, the y-intercept is at (0,6), and the axis is at y=1

Step-by-step explanation: