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Leno4ka [110]
3 years ago
10

Complete the statement using always, sometimes, or never. A rectangle is __________________ a rhombus.

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0
Hi!

A rectangle can sometimes be a rhombus if it has sides of all equal lengths. If a rectangle was a rhombus, it would also be a square. Furthermore, a square is always a rhombus.

Hope this helps! :)
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Duffy was analyzing the trajectory made after throwing a football. his coach was able to measure that his throw reached a maximu
gregori [183]

Answer:

4.35 seconds.

Step-by-step explanation:

Let x represent the time the independent variable and y be dependent variable (height of the ball).

We are told that Duffy figured that the ball left his hand at a height of 5 feet. This means at x equals 0, y was 5 or initial height of ball is 5 feet.

We have been given that Duffy's coach measured that his throw reached a maximum height of 18 feet after 2 seconds. This means that at x equals 2 y was 18.

As point (2,18) represents maximum height of ball, so it will be vertex of parabola.  

Since initial height of ball is less than maximum height, so our parabola will be downward opening and leading coefficient will be negative.

We know that vertex form of a downward opening parabola is in form: y=-a(x-h)^2+k

y=-a(x-2)^2+18

Let us find value of a using point (0,5).

5=-a(0-2)^2+18

5=-a*4+18

5-18=-a*4+18-18

-13=-4a

\frac{-13}{-4}=\frac{-4a}{-4}

\frac{13}{4}=a

Therefore, the equation y=-(\frac{13}{4})(x-2)^2+18 can be used to find the height of ball after x seconds.

To find the time it will take the ball to hit the ground, we will substitute y equals 0 in our equation.

0=-(\frac{13}{4})(x-2)^2+18

0-18=-(\frac{13}{4})(x-2)^2+18-18

0-18=-(\frac{13}{4})(x-2)^2

-18*(\frac{4}{13})=-(x-2)^2

\frac{72}{13}=(x-2)^2

Taking square root of both sides of our equation we will get,

\sqrt{\frac{72}{13}}=x-2

x-2\pm 2.35339

x-2=2.35339\text{ (or) } x-2=2.35339

x-2+2=2.35339+2\text{ (or) } x-2+2=-2.35339+2

x=4.35339\text{ (or) } x=-0.35339

x\approx 4.35\text{ (or) } x\approx -0.35

Since time can not be negative, therefore, the ball will hit the ground approximately after 4.35 seconds.  

7 0
3 years ago
Given that f(x) = x^2? + 9x + 18 and g(x) = x + 3, find (f ÷ g) (x) and express the result in standard form.​
lawyer [7]

Answer:

x + 6

Step-by-step explanation:

(f ÷ g)(x)

= \frac{x^2+9x+18}{x+3} factorise the numerator

= \frac{(x+3)(x+6)}{x+3} ← cancel the factor (x + 3) on numerator/ denominator

= x + 6

5 0
3 years ago
Test question what would the sign be when multiplying a positive and negative number
Otrada [13]
The sign would be negative
6 0
2 years ago
Reduce to simplest form<br><br><br>negative 7/8 minus (negative 5/6)
Verdich [7]

Answer:

(-21/24) - (-20/24) = -1/24

<em>Simplest Form of the Equation</em>

(-7/8) - (-5/6) = 0.04166666666

8x6= 48,

-7x6=-42

6x8= 48,

-5x8=40

(-42/48) - (-40/48)

Divide both sides by 2

(-21/24) - (-20/24) = -1/24

3 0
3 years ago
Which of the following is most likely the next step in the series
Anon25 [30]
<h3>Answer: Choice D</h3>

=============================

Explanation:

The first figure has 4 sides (quadrilateral)

The second figure has 5 sides (pentagon)

The third figure has 6 sides (hexagon)

Each time we increase the number of sides by 1.

The fourth figure must have 7 sides (heptagon). The only thing that has 7 sides is the figure listed in choice D.

6 0
3 years ago
Read 2 more answers
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