Answer:
x=−27/26
and y=−192/13
Step-by-step explanation:
6x+y=−21;8x−3y=36
Step: Solve6x+y=−21for y:
6x+y=−21
6x+y+−6x=−21+−6x(Add -6x to both sides)
y=−6x−21
Step: Substitute−6x−21foryin8x−3y=36:
8x−3y=36
8x−3(−6x−21)=36
26x+63=36(Simplify both sides of the equation)
26x+63+−63=36+−63(Add -63 to both sides)
26x=−27
26x
26
=
−27
26
(Divide both sides by 26)
Answer:
The value of x is 10, and the value of y is 6
Step-by-step explanation:
ABC and GEF are congruent
so
x - 8 = 2
x = 10
x - y = 4
10 - y = 4
y = 10 - 4
y = 6
Answer
x = 10, y = 6
Answer:
Option C is correct i.e. 2.
Step-by-step explanation:
Given the function is f(x) = x² +8x -2.
We can compare it with general quadratic expression i.e. ax² +bx +c.
Then a = 1, b = 8, c = -2.
We can find the number of real root by finding discriminant of the equation ax² +bx +c =0 as follows:-
D = b² -4ac
D = 8² -4*1*-2
D = 64 +8
D = 72.
When D is a positive value, then we have two real roots of the equation.
Hence, option C is correct i.e. 2.
Answer:
A
Step-by-step explanation:
The surface area (A) of a sphere is calculated as
A = 4πr² ← r is the radius
here r = 2, hence
A = 4π × 2² = 4π × 4 = 16π units² → A
Answer:
The equation of the new function is 
Step-by-step explanation:
Suppose we have a function f(x).
a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.
f(x - a) is shifting f(x) a units to the right.
f(x + a) is shifting f(x) a units to the left
In this question:
Vertically compressing by 1/2:
This is the same as multiplying the function by 1/2. So
The equation of the new function is
