All categories

2 years ago

Y=−x+2y=3x−4 what does Y equal and what does X equal?

Mathematics

1 answer:

aliina [53]2 years ago

5 0

Answer:

x=2

y=2

x=1.3 or 4/3

y=-4

Step-by-step explanation:

You might be interested in

Easy 15 points answer image

prohojiy [21]

Answer:

(x+4)....................

5 0

2 years ago

Evaluate the expression when m=-6. 2 m + 5m - 4

Brums [2.3K]

Answer:

Step-by-step explanation:

m^2 + 5m - 4

Let m = -6

( -6) ^2 + 5(-6) -4

Exponents first

36 + 5(-6) -4

Then multiply

36 -30 -4

Then subtract

6 -4

5 0

3 years ago

At a carnival, Jim gets to spin a prize wheel. It has a radius of 1 foot. What is the prize wheel's area?

Amanda [17]

Answer:

Step-by-step explanation:

pi*r^2=area

1*1=1

1*3.14=3.14

the area is pi itself

7 0

2 years ago

Help Please!!!!!!!!!!! Questions 9 and 10

Sphinxa [80]

Answer:

Step-by-step explanation:

1. ∠ACB ≅∠ECD ; vertical angles are congruent (A)

2. C is midpoint of AE ; given

3. AC ≅CE; midpoint divides the line segment in 2 congruent segments (S)

4.AB║DE; given

5. ∠A≅∠E; alternate interior angles are congruent (A)

6. ΔABC≅ΔEDC; Angle-Side-Angle congruency theorem

1. YX≅ZX; given (S)

2. WX bisects ∠YXZ; given

3. ∠YXW≅∠ZXW; definition of angle bisectors (A)

4. WX ≅WX; reflexive propriety(S)

5. ΔWYX≅ΔWZX; Side-Angle-Side theorem

3 0

2 years ago

The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and

NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

$60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120$

Let's find h with the quadratic formula:

$\fbox {Quadratic formula:} \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}$

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation

$\fbox {Pythagorean equation:}$ The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle).

The base and the height are our legs. We will use "H" for the hypotenuse

$H^2 = b^2 + h^2 = 15^2 + 8^2 = 289\\ H = \sqrt {289} = 17$

H = 17

If we decrease the base and the height by 2 centimeters, we have

b' = 15 - 2 = 13 and h' = 8 - 2 = 6

With this, let's calculate the new hypotenuse:

$H'^2 = b'^2 + h'^2 = 13^2 + 6^2 = 205\\ H' = \sqrt {205} \approx 14.3$

$H' \approx 14.3$

So, the hypotenuse decreases $H - H' \approx 17 - 14.3 = 2.7$

3 0

3 years ago