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3 years ago

Determine the intercepts of the line. y-3 = 5(x-2)

Mathematics

2 answers:

Nostrana [21]3 years ago

6 0

X intercept is (7/5,0)
Y intercept is (0, -7)

natulia [17]3 years ago

4 0

Answer:

x int = 7/5

y int = -7

Step-by-step explanation:

y = 5x - 7

when x = 0

y = -7

when y = 0

-5x = -7

x = 7/5

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A construction crew wants to hoist a heavy beam so that it is standing up straight. ey tie a rope to the beam, secure the base,

Aliun [14]

Interesting problem ...

The key is to realize that the wires have some distance to the ground, that does not change.

The pole does change. But the vertical height of the pole plus the distance from the pole to the wires is the distance ground to the wires all the time. In other words, for any angle one has:

D = L * sin(alpha) + d, where D is the distance wires-ground, L is the length of the pole, alpha is the angle, and 'd' is the distance from the top of the (inclined) pole to the wires:

L*sin(40) + 8 = L*sin(60) + 2, so one can get the length of the pole:

L = (8-2)/(sin(60) - sin(40)) = 6/0.2232 = 26.88 ft (be careful to have the calculator in degrees not rad)

So the pole is 26.88 ft long!

If the wires are higher than 26.88 ft, no problem. if they are below, the concerns are justified and it won't pass!

Your statement does not mention the distance between the wires and the ground. Do you have it?

4 0

2 years ago

Read 2 more answers

Let f(x)= x^2-4x-c. Find a nonzero value of c such that f(c)=c.

Dimas [21]

Answer:

The nonzero value of c will be:

$c = 6$

Step-by-step explanation:

Given the function

$f\left(x\right)=\:x^2-4x-c$

$f\left(c\right)=\:c^2-4c-c$

$f(c) = c$

$c=\:c^2-4c-c$

switching the sides

$c^2-4c-c=c$

subtract c from both sides

$c^2-4c-c-c=c-c$

$c^2-6c=0$

$c\left(c-6\right)=0$

Using the zero factor principle

$\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$c=0\quad \mathrm{or}\quad \:c-6=0$

so, the solutions to the quadratic equations are:

$c=0,\:c=6$

Therefore, a nonzero value of c will be:

$c = 6$

5 0

2 years ago

Simplifying rational expressions

Sonbull [250]

1. $\frac{(c + 8)(c - 8)}{(c - 8)(c + 3)}_,_$
   $\frac{c + 8}{c + 3}_,_$

2. $\frac{n^{2} + 4n - 12}{n^{2} + 2n - 8}_,_$
   $\frac{n^{2} + 6n - 2n - 12}{n^{2} + 4n - 2n - 8}_,_$
   $\frac{n(n) + n(6) - 2(n) - 2(6)}{n(n) + n(4) - 2(n) - 2(4)}_,_$
   $\frac{n(n + 6) - 2(n + 6)}{n(n + 4) - 2(n + 4)}_,_$
   $\frac{(n - 2)(n + 6)}{(n - 2)(n + 4)}_,_$
   $\frac{n + 6}{n + 4}_,_$

3. $\frac{42x^{2}y^{3}}{28x^{3}y}_,_$
   $\frac{3y^{2}}{2x}_,_$

4. $\frac{m^{2} - 3m - 10}{m - 5}_,_$
   $\frac{m^{2} - 5m + 2m - 10}{m - 5}_,_$
   $\frac{m(m) - m(5) + 2(m) - 2(5)}{m - 5}_,_$
   $\frac{m(m - 5) + 2(m - 5)}{m - 5}_,_$
   $\frac{(m + 2)(m - 5)}{m - 5}_,_$
   $m + 2_,_$

3 0

2 years ago

I really don't understand why this question was deleted its not bad I don't know how to explain it

nalin [4]

Answer:

Step-by-step explanation:

Because it is a square root

8 0

2 years ago

Zendaya has 5656 yard of wood to make racks for a word tile game. Each rack needs to be 1616 yard long. How many racks can Zenda

snow_lady [41]

Answer: 3

Step-by-step explanation:

Given

Zendaya has 5656 yards of wood

Each rack need 1616 yards

Number of racks that can be formed using 5656 yards are

$\Rightarrow \dfrac{5656}{1616}=3.5$

3.5 represents 3 racks as 0.5 racks is insignificant

Therefore, 3 racks can be built from 5656 yards

4 0

2 years ago