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nlexa [21]
3 years ago
7

Someone help me out. I’m stuck on this problem

Mathematics
2 answers:
tatuchka [14]3 years ago
7 0

Answer:

1.a and 2.b.

Step-by-step explanation: let's say the area=2. if you multiply by 2, it gets bigger. if d<1, it's like dividing by a number, meaning that the area becomes smaller.

NeX [460]3 years ago
6 0

Answer:

1. a

2. b

Step-by-step explanation:

1. If d is greater than one (d>1), then that means that the shape will be dilated outward, or expanded because the number is larger than the unit of 1.

2. Multiplying the coordinates by a fraction that is less than one (0<d<1) makes the shape smaller, because fractions are smaller than the unit of 1.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Rewrite the fol
never [62]
  • Vertex Form: y = a(x - h)^2 + k, with (h,k) as the vertex.

To convert it into vertex form, we are going to be completing the square. Firstly, subtract 56 on both sides: y-56=2x^2-32x

Next, factor out the GCF, or greatest common factor, of the right side. To find the GCF, list the factors of both terms and the greatest one they share is their GCF. In this case, the GCF is 2: y-56=2(x^2-16x)

Next, we want to make what's inside the parentheses a perfect square. To find the constant of the perfect square, divide the x term by 2 and square the quotient. In this case:

-16 ÷ 2 = -8, (-8)² = 64

So you're gonna have to add 64 to the inside of the parentheses. To cancel this out, you will need to add to the other side the product of 64 and 2 (since 64 is inside the parentheses), which is 128: y+72=2(x^2-16x+64)

Next, factor the polynomial inside the parentheses: y+72=2(x-8)^2

Next, subtract 72 on both sides and your vertex form is y=2(x-8)^2-72

Now looking at this vertex form, the vertex is (8,-72), which means that <u>the x-coordinate of the vertex is 8.</u>

6 0
3 years ago
7 pipes fill a tank in 50 minutes. How many minutes does it take if there are 11 pipes?
Alekssandra [29.7K]

Answer: With 11 pipes, you need 31.82 minutes to fill the tank.

Step-by-step explanation:

Let's define R as the rate at which one single pipe can fill a tank.

We know that 7 of them can fill a tank in 50 minutes, then we have the equation:

7*R*50min = 1 tank

Whit this equation, we can find the value of R:

R = 1 tank/(7*50min) = (1/350) tank/min.

Now that we know the value of R, we can do the same calculation but now with 11 pipes.

Then the time needed to fill the tank, T, is such that:

11*(1/350 tank/min)*T = 1 tank

We need to isolate T.

T = 1 tank/(11*(1/350 tank/min)) = 31.82 min

With 11 pipes, you need 31.82 minutes to fill the tank.

5 0
3 years ago
3(12)=2(y-1) <br> *plzz answer my question*
Leona [35]

Step-by-step explanation:

3(12)=2(y-1)

36=2y-2

36+2=2y

38=2y(<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>two</em><em>)</em>

y=19

7 0
3 years ago
Figure below shows two triangles EFG and KLM​
Vesna [10]

Answer:

last option

Step-by-step explanation:

To prove that ΔEFG is also a right triangle, you must prove that KL = EF so that in ΔKLM c² = a² + b² which would make ΔEFG a right triangle.

3 0
3 years ago
Y = 1/2x +10 y = 4x - 4 solve by graphing
Firdavs [7]

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(4,12)

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