U=5
x=1
z=-1.7
m=2
Trololololololo
Answer:
Step-by-step explanation:
32²=(40-8)²
=40²-2(40)(8)+8²
=1600-640+64
=1664-640
=1024
also 32²=1024
The perimeter of the triangle is: 4x+9
Step-by-step explanation:
Perimeter is the measurement of boundary of any closed figure.
Given
s1 = x+4
s2 = x+8
s3 = 2x-3
So, the perimeter will be the sum of all three sides
Hence,
The perimeter of the triangle is: 4x+9
Keywords: Perimeter, triangle
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Answer:
Step-by-step explanation:
A. y-Intercept of ƒ(x)
ƒ(x) = x² - 4x + 3
f(0) = 0² - 4(0) + 3 = 0 – 0 + 3 = 3
The y-intercept of ƒ(x) is (0, 3).
If g(x) opens downwards and has a maximum at y = 3, it's y-intercept is less than (0, 3).
Statement A is TRUE.
B. y-Intercept of g(x)
Statement B is FALSE.
C. Minimum of ƒ(x)
ƒ(x) = x² - 4x + 3
a = 1; b = -4; c = 3
The vertex form of a parabola is
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
h = -b/(2a) and k = f(h)
h = -b/2a = -(-4)/(2×1 = 2
k = f(2) = 2² - 4×2 + 3 =4 – 8 +3 = -1
The minimum of ƒ(x) is -1. The minimum of ƒ(x) is at (2, -1).
Statement C is FALSE.
D. Minimum of g(x)
g(x) is a downward-opening parabola. It has no minimum.
Statement D is FALSE
The required equation in slope-intercept or standard form is y = 2x+12.
It is required to find the equation in slope-intercept or standard form.
<h3>What is slope?</h3>
Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
The equation of the line that is parallel to y=2x-4.
Parallel lines have the same slope, We know the equation will be
y = 2x + b.
Use the point (-7,-2) to sub in for (x, y) to solve for b.
-2 = 2(-7) + b
-2=-14+b
12=b
So, the equation will be y = 2x+12
Therefore, the required equation in slope-intercept or standard form is y = 2x+12.
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