Answer:
Step-by-step explanation:
x^2 + 2x - 3 = (1)^2 + 2(1) - 3 = 0 for x = 1
(2)^2 + 2(2) - 3 = 5 for x = 2
(3)^2 + 2(3) - 3 = 12 for x = 3
x^3 + 5 = (1)^3 + 5 = 6 for x = 1
(2)^3 + 5 = 13 for x = 2
(3)^3 + 5 = 32 for x = 3
x^2 + 5x + 4 = (1 )^2 + 5(1) + 4 = 10 for x = 1
(2)^2 + 5(2) + 4 = 18 for x = 2
(3)^3 + 5(3) + 4 = 46 for x = 3
Without computing, select all of the expressions that have the same value as 81. (37 + 59).
A. 81. (59 +37)
Answer:
68
Step-by-step explanation:
For angle A, 3 is the adjacent leg. 8 is the hypotenuse.
The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
We know the cosine of angle A equals 0.375. We take the inverse cosine of 0.375 to find the measure of the angle.
Answer:
d(A,B)=1
Step-by-step explanation:
To find distance between points A(xA,yA) and B(xB,yB), we use formula:
d(A,B)=(xB−xA)2+(yB−yA)2−−−−−−−−−−−−−−−−−−−√
In this example: xA=3 , yA=5 , xB=3 and yB=6 so:
d(A,B)d(A,B)d(A,B)=(3−3)2+(6−5)2−−−−−−−−−−−−−−−√=0+1−−−−√=1
Answer:
20 and 16
Step-by-step explanation:
Let us find x and y.
x – y = 4 _____(1)
x/2 + y/2= 18___(2)
Multiply (2) by 2 and add to (1)
x - y = 4
+<u>(x + y = 36)</u>
<u>2x = 40</u>
=> x = 40 / 2 = 20
From (1):
20 - y = 4
=> y = 20 - 4 = 16
The two numbers are 20 and 16.
