Answer:
5
Step-by-step explanation:
The complex number 4 + 2i on the complex plane has coordinates (4,2) and the complex number 7 - 2i has coordinates (7,-2). Thus, the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i is
On a piece of paper, use a protractor to construct right triangle DEF with DE=4 in. , m∠D=90° , and m∠E=45° .
2 answers:
Answer: The answer is DF=4 inch.
Step-by-step explanation: As shown in the attached figure, a right-angled triangle DEF is constructed using a protractor, where ∠D=90°, DE 4 inch and ∠E=45°.
So, according to the figure, EF is the hypotenuse of the triangle.
Now, in ΔDEF
∠D + ∠E + ∠F = 180°, which gives us
∠F = 180°-∠D - ∠E = 180° - 90° - 45° = 45°.
Hence, ∠E = ∠F. Thus, DE = DF, which implies that ΔDEF is an isosceles triangle also.
Thus, DF = 4 inch.
You might be interested in
Option B) h = 4.5t – 27 is the equation of the straight line that best models the height h, in centimeters, of the sunflower t days after it begins to grow.
From the above graph we can see that from day 14 to day 35 , it is a straight line.
And equation of a straight line is y = mx + c or y – y1 = m(x – x1)
Where, m =slope of the line
c = intercept
the equation can be rewritten as h – h1 = m(t – t1) (1)
So, to find the equation of line , first we will calculate the slope of the line.
To find the slope : m = (h2 – h1 ) / (t2 – t1) (2)
From the graph and the table given, the coordinates (t1 , h1 ) and ( t2 , h2 ) are (14 , 36.6) and (35, 131) respectively.
Putting these values in equation (2), we get
m = (131 – 36.6)/(35 – 14)
m = 94.4/21
m = 4.5
now to find the equation of line we put the values in equation (1), we get
h – 36.6 = 4.5(t – 14)
h – 36.6 = 4.5t – 63
h = 4.5t -63 + 36.6
h = 4.5t -27
Hence the equation of the line is , option B) h = 4.5t -27
Learn more about the straight line here : brainly.com/question/6977417
#SPJ4
