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Leto [7]
3 years ago
9

Write an equation of the graph:

Mathematics
1 answer:
katrin [286]3 years ago
5 0
1. To translate to the left, add to x. 
The equation is: y = |x + 2|

2. To translate down, add to y. 
The equation is: y + 2 = |x| OR y = |x| - 2 (subtract 2 from each side)

Hope this helps!
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A rectangle has a width of 40 units and a length of 52 units. What is the length of the diagonals of the rectangle
Irina-Kira [14]

Answer:approximately 65.6

Step-by-step explanation:

4 0
3 years ago
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Through: (4,- 4), perp. to y = -4x - 2
amid [387]

Answer:

Step-by-step explanation:

y = -4x - 2

slope of line = -4

slope of perpendicular to line = ¼

Point-slope equation for line of slope ¼, passing through (4,-4):

y+4 = ¼(x-4)

In slope-intercept form:

y = ¼x - 5

7 0
3 years ago
Determine whether the improper integral converges or diverges, and find the value of each that converges.
Rus_ich [418]

Answer:

Diverges

Step-by-step explanation:

We can solve this by using integral by parts:

Let

u=lnx            dv=(1/x)dx

du=(1/x)dx    v=lnx

\int\limits {lnx/x} \, dx = (lnx)^2-\int\limits {lnx/x} \, dx

We can add

\int\limits {lnx/x} \, dx to both sides

\int\limits{lnx/x} \, dx = (1/2)\cdot{(lnx)^2}

We can evaluate the limit between 2 and infinity.

If x tends to infinity the limit will be infinity and therefore the integral diverges to ∞

6 0
3 years ago
I need help plzzz this is algebra
SpyIntel [72]
Set like terms on each side by adding six to the first side and subtracting 1/2x from the first side. this gives you 9<1.5x. divide both sides by 1.5 to get 66. the answer is 4) x>6
3 0
3 years ago
Find the midpoint of the line segment defined by the points: (5, 4) and (−2, 1) (2.5, 1.5) (3.5, 2.5) (1.5, 2.5) (3.5, 1.5)
Setler79 [48]

Answer:

\boxed {\boxed {\sf (1.5 , 2.5)}}

Step-by-step explanation:

The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.

(\frac {x_1+x_2}{2}, \frac {y_1+ y_2}{2})

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).

  • x₁= 5
  • y₁= 4
  • x₂= -2
  • y₂= 1

Substitute these values into the formula.

( \frac {5+ -2}{2}, \frac {4+1}{2})

Solve the numerators.

  • 5+ -2 = 5-2 = 3
  • 4+1 = 5

( \frac {3}{2}, \frac{5}{2})

Convert the fractions to decimals.

(1.5, 2.5)

The midpoint of the line segment is (1.5 , 2.5)

3 0
3 years ago
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