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yarga [219]
3 years ago
12

Claire thinks that if she draws a parallelogram with 2 congruent sides, it must be a rhombus. Jacob thinks that she would need t

o draw a parallelogram with at least 3 congruent sides before she could be sure it was a rhombus. Who is correct, if anyone, and why?
Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0
Yes it is ok if she draws a parallelogram
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Cade and Tyce both tried to find the missing side of the right triangle. A right triangle is shown. The legs are labeled 6 and 9
Talja [164]

Step-by-step explanation:

Two legs of the right triangle are 6 and 9. We can find its third side as follows :

a^2+b^2=c^2

The above is called Pythagoras theorem and it is applicable for a right angled triangle.

a,b and c are base, perpendicular and hypotenuse respectively

c is the third side

So,

c^2=6^2+9^2\\\\c=\sqrt{117} \\\\c=10.816\approx 10.82

Hence, Cade and Tyce both are correct. The length of the missing side is 10.82

7 0
3 years ago
Read 2 more answers
If the range of f(x)= square root mx and the range of g(x)=m square root x are the same, which statement is true about the value
AveGali [126]
M can be any positive real number.

Explanation:

From f(x) = √(mx) ; if x is posive m has to be positive; if x is negative m has to be negative; if x is cero m can have any value, and the range will always be 0 or positve

From g(x) = m √x; x can only be 0 or positive and the range will have the sign of m.

Given we concluded that the range of f(x) can only be  0 or positive, then me can only be 0 or positive. 
3 0
3 years ago
Simplify the function. Than determine the key aspects of the function
Tom [10]

To simplify the function, we need to know some basic identities involving exponents.


1. b^(ax)=(b^x)^a=(b^a)^x

2. b^(x/d) = (b^x)^(1/d) = ((b^(1/d)^x)


Now simplify f(x), where

f(x)=(1/3)*(81)^(3*x/4)

=(1/3)(3^4)^(3*x/4) [ 81=3^4 ]

=(1/3)(3^(4*3*x/4) [ rule 1 above ]

=(1/3) (3^(3*x)

=(1/3)(3^(3x)) [ or (1/3)(27^x), by rule 1 ]



(A) Initial value is the value of the function when x=0, i.e.

initial value

= f(0)

=(1/3)(3^(3x))

=(1/3)(3^(3*0))

=(1/3)(3^0)

=(1/3)(1)

=1/3


(B) the simplified base base is 3 (or 27 if the other form is used)


(C) The domain for an exponential function is all real values ( - ∞ , + ∞ ).


(D) The range of an exponential function with a positive coefficient and without vertical shift is ( 0, + ∞ ).

8 0
3 years ago
4. The Blackhawk Eagles scored 4 points more than the Lane Vikings. The
konstantin123 [22]

Answer:

Lane Viking's Score is 17

Black Eagles's Score  is 21

Step-by-step explanation:

Let Lane Viking's Score be x and Black Eagles's Score be y.

Black Eagles's Score = 4+ Lane Viking's Score

so y = 4 + x    (Equation 1)

Total Score = 38

Black Eagles's Score + Lane Viking's Score = 38

so y + x =38     (Equation 2)

Putting y's value from Equation 1 in Equation 2

4 + x + x = 38

2x = 38-4

x=34/2

x=17

Putting value of x in Equation 1

y = 4 + 17

y = 21

7 0
3 years ago
What is the value of m in the equation?<br> 3(18+ 2) = 4m<br><br> A.15<br> B.14<br> C.6<br> D.60
Yuki888 [10]
The value of m is D.15
4 0
2 years ago
Read 2 more answers
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