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nignag [31]
4 years ago
15

Choose the equation of the vertical line passing through the point (−4, 2).

Mathematics
2 answers:
Degger [83]4 years ago
8 0
Vertical line has no slope. so only look at the x value. x=-4.
SashulF [63]4 years ago
6 0

Answer:

Equation would be  x = - 4 .

Step-by-step explanation:

Given :  vertical line passing through the point (−4, 2).

To find : Choose the equation of the vertical line .

Solution : We have given that  point (−4, 2).

We know that vertical line always passes through the x axis .

Here, line passes through at x = -4  which has no slope .

Therefore , equation would be  x = - 4 .

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A theater can seat 170 people. The number of rows is 7 less than the number of seats in each row. How many rows of seats are the
maks197457 [2]
Answer:number of rows =10
number of places in row = 17

Step-by-step explanation:
number of rows =N
number of places in row = N+7
N(N+7)=170
N^2+7n-170=0
(N+17)(N-10)=0
N1=-17
N2=10
We can`t take negative value for quantity of smth so we throw N1 away
From that number of rows =10
number of places in row = 10+7=17
5 0
2 years ago
In 5 minutes a conveyor belt moves 300 pounds of receyclable aluminum from the delievery truck a smaller belt moves the same qua
ladessa [460]

Answer:

It will take 3.214 minutes.

Step-by-step explanation:

<em>It is given that, the conveyor belt transports 300 cans in 5 mins and the smaller belt transports 300 cans in 9 minutes.</em>

Thus , the speed of conveyor belt is,

= \frac{300}{5} = 60 cans per minute

and of smaller belt is,

=  \frac{300}{9} = \frac{100}{3} cans per minute

Thus, when both are used together,

<em>conveyor belt will transport (60)(t) cans and smaller belt will transport ( \frac{100}{3})(t) cans per minute.</em>

Thus the equation becomes,

300 = (60)(t) + (\frac{100}{3})(t) = (\frac{280}{3})(t)

t = \frac{(300)(3)}{280} = \frac{45}{14} = 3.214 minutes

3 0
3 years ago
What are the zeroes of f(x) = x2 + 5x + 6?
Vera_Pavlovna [14]

Answer:

Zeros are x = −2, −3 .

Step-by-step explanation:

Given : f(x) = x² + 5x + 6.

To find : What are the zeroes of f(x).

Solution : We have given that

f(x) = x² + 5x + 6.

To find the zeros of the function we need to set f(x) = 0.

x² + 5x + 6 = 0.

On factoring

x² + 3x +2x + 6 = 0.

Taking common x from first two term and 2 from last two terms

x ( x + 3) +2 ( x +3) = 0.

On grouping

(x + 3) (x + 2)  = 0

Now, x + 3 = 0   and x + 2 = 0

x = -3 and x = -2

Therefore, Zeros are x = −2, −3 .

3 0
3 years ago
Solve linear equations -4(b+3)-12=2b-16+5b
daser333 [38]

Answer:

Exact form:b=-\frac{8}{11}\\Decimal form: b=-0.72727272727272727272

Step-by-step explanation:

-4(b+3)-12=2b-16+5b

-4b-12-12=2b+5b

-4b-24=7b-16

-4b=7b+8

3 0
4 years ago
Read 2 more answers
How do you solve 3/4 (5+x) + 4 = 3x + 1? Thanks:)
elena-s [515]

\dfrac{3}{4}(5+x)+4=3x+1\ \ \ \ |\cdot4\\\\3(5+x)+16=12x+4\ \ \ |\text{use distributive property}\\\\(3)(5)+(3)(x)+16=12x+4\\\\15+3x+16=12x+4\\\\31+3x=12x+4\ \ \ \ |-31\\\\3x=12x-27\ \ \ \ |-12x\\\\-9x=-27\ \ \ \ |:(-9)\\\\\boxed{x=3}

3 0
3 years ago
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