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aksik [14]
3 years ago
12

Given a rhombus, a square, and a rectangle, what must be true of all three quadrilaterals?

Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0
<span>C.

The diagonals are perpendicular.
</span>
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john drives to the beach,which is 270 miles away. in 2 hours, he drives 120 miles. if he continues at that speed, how long will
Kazeer [188]
So John is driving 60 miles per hour. So John would get their in 4 hours and 25-30 min

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F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B7%7D%20-%5Csqrt%7Bx%5E2%2B2x-15%7D" id="TexFormula1" title="\sqrt{x+7} -\
elena-s [515]

Answer:

x >= -7  ................(1a)

x >= 3   ...............(2a1)

Step-by-step explanation:

f(x) =  \sqrt{x+7}-\sqrt{x^2+2x-15}  .............(0)

find the domain.

To find the (real) domain, we need to ensure that each term remains a real number.

which means the following conditions must be met

x+7 >= 0  .....................(1)

AND

x^2+2x-15 >= 0 ..........(2)

To satisfy (1),  x >= -7  .....................(1a) by transposition of (1)

To satisfy (2), we need first to find the roots of (2)

factor (2)

(x+5)(x-3) >= 0

This implis

(x+5) >= 0 AND (x-3) >= 0.....................(2a)

OR

(x+5) <= 0 AND (x-3) <= 0 ...................(2b)

(2a) is satisfied with x >= 3   ...............(2a1)

(2b) is satisfied with x <= -5 ................(2b1)

Combine the conditions (1a), (2a1), and (2b1),

x >= -7  ................(1a)

AND

(

x >= 3   ...............(2a1)

OR

x <= -5 ................(2b1)

)

which expands to

(1a) and (2a1)   OR  (1a) and (2b1)

( x >= -7 and x >= 3 )  OR ( x >= -7 and x <= -5 )

Simplifying, we have

x >= 3  OR ( -7 <= x <= -5 )

Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.

3 0
3 years ago
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‼️‼️10 points‼️‼️
My name is Ann [436]

Answer:

The correct answer is B.

Step-by-step explanation:

There is no clear rule regarding the relationship with these numbers. So it is not linear.

Good Luck!

8 0
3 years ago
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What is the address of the element 14 in Matrix D
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Answer:

A.)D23

Step-by-step explanation:


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What is the slope of the line shown in the graph?<br> A 3/2<br> B) 2/3<br> C) -3/4<br> D) -2/3
garik1379 [7]

Answer:

D.

Step-by-step explanation:

y-intercept is (0, 3)

x-intercept is (4.5, 0)

formula to find the slope from two points is

slope = m =  \frac{y2 - y1}{x2 - x1}  =  \frac{y1 - y2}{x1 - x2}  \\

then the slope of the line that crosses (0, 3) & (4.5, 0) is

m =  \frac{3 - 0}{0 - 4.5}  =  \frac{3}{ - 4.5}  =  -  \frac{3}{ \frac{9}{2} }  =  -  \frac{2}{3}

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3 years ago
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