MATHEMATICS MIDDLE SCHOOL

If the equation of a function is y = x2 – 5, what is the output when the input is -1?

Answers

Answer 1

Answer:

Answer:

The output is -4

Step-by-step explanation:

y = x^2 – 5

Let x=-1

y = (-1)^2 -5

= 1-5

=-4

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Really need the answers. thanks!!!

What is 2 and 5/12-( -2 and 1/6) ?

Express the answer in simplest form.

Answers

Find the LCD, and modify the first fraction. the new equation is: 2 5/12 - (-2 2/12). since subtracting a negative is the same as adding, you add the second fraction: 2 5/12 + 2 2/12. add the fractions, and add the whole numbers. the answer is: **4 7/12**

How many solutions does the following system of equations have?v=x+2
2y=5144
O A. Zero
O B. Infinitely many
O C. Two
O D.One

Answers

The answer would be two

What is the vertex form of f(x)= 5x^2 +20x-16

Answers

Answer:

Vertex of given quadratic function is (-2,-36)

Step-by-step explanation:

Given function

We have to find the vertex of the given function .

The standard quadratic function is represented by ,

Where (h,k) represents the vertex and a ≠ 0.

If a is positive, the graph opens upward, and if a is negative, then it opens downward.

We first write the given equation in standard form ,by using completing square,

We know

First taking 5 common from function, we have,

Comparing we have, a = x and

-2ab= +4x ⇒ -2b = 4 ⇒ b = -2

Add and subtract b , we get,

On simplifying, we have,

We get,

On comapring with standard equtaion , we have h = -2 and k = -36

Thus, vertex of given quadratic function is (-2 ,-36)

Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]A. 26.47 units²
B. 28.53 units²
C. 33.08 units²
D. 27.28 units²

Answers

Answer:

Option B $28.53\ units^(2)$

Step-by-step explanation:

The area of quadrilateral ABCD is equal to the area of triangle ABD plus the area of triangle ADC

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Let

a,b,c be the lengths of the sides of a triangle.

The area is given by:

$A=√(p(p-a)(p-b)(p-c))$

where

p is half the perimeter

$p=(a+b+c)/(2)$

step 1

Find the area of triangle ABD

we have

$a=AB=2.89\ units$

$b=BD=8.59\ units$

$c=DA=8.6\ units$

Find the half perimeter p

$p=(2.89+8.59+8.6)/(2)=10.04\ units$

Find the area

$A=√(10.04(10.04-2.89)(10.04-8.59)(10.04-8.6))$

$A=√(10.04(7.15)(1.45)(1.44))$

$A=√(149.89)$

$A=12.24\ units^(2)$

step 2

Find the area of triangle ADC

we have

$a=AC=4.3\ units$

$b=AD=8.6\ units$

$c=DC=7.58\ units$

Find the half perimeter p

$p=(4.3+8.6+7.58)/(2)=10.24\ units$

Find the area

$A=√(10.24(10.24-4.3)(10.24-8.6)(10.24-7.58))$

$A=√(10.24(5.94)(1.64)(2.66))$

$A=√(265.35)$

$A=16.29\ units^(2)$

step 3

Find the total area

$A=12.24+16.29=28.53\ units^(2)$

Answer:

B.) 28.53 units²

Step-by-step explanation:

I got it correct on founders edtell

Can someone please check my answer? thank you

Answers

Answer:

you are correct sir

Step-by-step explanation:

The _______ is an appropriate unit to measure the capacity of a hand sanitizer bottle. The _______ is an appropriate unit to measure the capacity of the water in a fountain.

Answers

1. Pint
2. Gallon

Hope this helps.

1. inch or in.
2.gallon

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