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Fed [463]
3 years ago
13

A quadrilateral with at least one pair of parallel sides and at least two right angles

Mathematics
1 answer:
NemiM [27]3 years ago
4 0
It could be a rhombus
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Need these 2 answered. 50 points!<br><br> Please Show your work, Thanks! :)
Shtirlitz [24]

Answer:

1) A

2) C

Step-by-step explanation:

Question 1)

We have the function:

y=2(x+2)^2-3

Notice that this is a quadratic function in the vertex form:

y=a(x-h)^2+k

Where (h, k) is the vertex point, a is the leading co-efficient, and h is also the axis of symmetry.

Let's identify these characteristics first. Our leading co-efficient a is 2.

And our vertex is (-2, -3). It is <em>not</em> (2, -3) because (x+2) is the same as (x-(-2)).

We want to find the minimum or maximum value of our function, as well as the domain and range.

First, by looking at our leading co-efficient, which is 2, we can see that it's positive. Therefore, our parabola curves upwards.

Therefore, we will have a <em>minimum</em> value. And this minimum value will be our vertex.

Our vertex is (-2, -3). Therefore, our <em>minimum</em> value is at y=-3.

The domain of all quadratics is always all real numbers.

For the range, we refer to our minimum/maximum value.

Our parabola curves upwards and our <em>minimum </em>value is at y=-3.

Therefore, our range is all numbers <em>greater than or equal to </em>-3.

The choice that represents all of these answers is A.

Question 2)

We have:

y=2(x+2)^2-4

Again, this is in vertex form. Let's identify our characteristics.

Our leading co-efficient a is 2, so the graph curves upwards.

And our vertex is at (-2, -4).

The axis of symmetry is the same as the x-coordinate of our vertex. Therefore, our axis of symmetry is at x=-2.

So, this function has a vertex at (-2, -4) and an axis of symmetry at x=-2.

The choice that represents these characteristics is C.

So, our answer is C.

And we're done!

7 0
3 years ago
How do your write a feaction with a denominator of 20 as a decimal?​
Maslowich

Answer:

Step-by-step explanation:

What is 20 as a decimal? To write 20 as a decimal you have to divide numerator by the denominator of the fraction. 20 is not a fraction so it is a decimal already. And finally we have: 20 as a decimal equals 20

7 0
2 years ago
What is the distributive property of 8(y-7)=-16
Alex_Xolod [135]

Step-by-step explanation:

\text{The distributive property:}\\\\a(b-c)=ab-ac\\\\8(y-7)=(8)(y)-(8)(7)=8y-56\\\\\text{If you want whole solution:}\\\\8(y-7)=-16\\8y-56=-16\qquad\text{add 56 to both sides}\\8y-56+56=-16+56\\8y=40\qquad\text{divide both sides by 8}\\\dfrac{8y}{8}=\dfrac{40}{8}\\\boxed{y=5}

4 0
3 years ago
Read 2 more answers
Please answer !!!!!! Will mark brainliest !!!!!!!!
Inga [223]

Answer:

f(u) = 9/5

Step-by-step explanation:

u - 5 = -4(u - 1)      Distribute on the right side

u - 5 = -4u + 4

+4u      +4u            Add 4u to both sides

5u - 5 = 4

    + 5   + 5            Add 5 to both sides

5u = 9                    Divide both sides by 5

u = 9/5

3 0
2 years ago
Read 2 more answers
Solve the system of equations:
zvonat [6]

Answer:

the correct answer would be Y! i took it!! make me most brainlessly please!!!

Step-by-step explanation:

6 0
3 years ago
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