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2 years ago

Find the number of real number solutions for the equation.

Mathematics

1 answer:

vampirchik [111]2 years ago

5 0

Answer:

x = ±1

Step-by-step explanation:

x² + 0x -1 = 0

x²- 1 = 0

x² = 1

x = ±1

--------------

check

1² + 0x - 1 = 0

1 - 1 = 0

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Find the slope of the line (2, 4), (0, 2) and (0, 0), (3, 18)

My name is Ann [436]

Answer:

for the first one, the slope is 1

second one there isn't a slope.

Step-by-step explanation:

( x 1 - y 1 )

_______

( x 2 - y 2 )

6 0

2 years ago

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 54:32 Because the lid of a marker is wider than the marker itself, a set of markers can be p

tia_tia [17]

Answer:

10 Square Inches

Step-by-step explanation:

Trapezoid

Base =12 inches

Height =10 inches

Top side= 10 inches.

Area of a Trapezoid $=\frac{1}{2}(a+b)h, $where a and b are the lengths of the base and top respectively$$

$=\frac{1}{2}(10+12)*10\\=5*22=110 \:Square\:Inches$

Area of the Trapezoid=110 Square Inches

Rectangle

Base = 12 inches

Height =10 inches.

Area of a Rectangle=Base X Height

=12 X 10

=120 Square Inches

Difference in Area between the two packages

Difference=Area of Rectangle-Area of Trapezoid

=120-110

=10 Square Inches

5 0

3 years ago

Read 2 more answers

A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 6 pounds of jelly beans the total cost is $

inna [77]

The cost for each pound of trail mix and each pound of jelly is given below.

Step-by-step explanation:

Let t = cost/pound of trail mix

Let j = cost/pound of jelly beans

5t + 6j = 35

3t + 2j = 15 = > 2j = 15 - 3t

5t + 3(15 - 3t) = 35

5t + 45 - 9t = 35

- 4t + 45 = 35

- 4t = - 10

4t = 10

t = 2.5

3(2.5) + 2j = 15

7.5 + 2j = 15

2j = 7.5

j = 3.75

7 0

3 years ago

The length of a swimming pool is 3 feet longer than it’s width. The swimming pool is surrounded by a deck that is 2 feet wide an

Firlakuza [10]

Answer:

The Length of swimming pool is 8.35 feet

The width of swimming pool is 5.35 feet

Step-by-step explanation:

Given as :

The length of swimming pool is 3 feet longer that its width

Let The width of swimming pool = w feet

So, The Length of swimming pool = L = (w + 3) feet

Now, The swimming pool is surrounded by deck of 2 feet wide

The width of deck = w' = w + 2 + 2 = (w + 4) feet

The area of deck = 116 feet²

The length of deck = L' = L + 2 + 2 = (L + 4) feet

So, L' = (w + 3 + 4) feet

I.e L' = (w + 7) feet

∵ The area of deck = 116 feet²

So , L' × w' = 116 feet²

(w + 7)× (w + 4) = 116

Or, w² + 4 w + 7 w + 28 = 116

Or, w² + 11 w - 88 = 0

Solving the quadratic equation as

ax² + bx + c = 0

So, w = $\dfrac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, w = $\dfrac{-11\pm \sqrt{11^{2}-4\times 1\times (-88)}}{2\times 1}$

Or, w = $\dfrac{-11\pm \sqrt{473}}{2}$

or, w = $\dfrac{-11\pm 21.7}{2}$

or, w = 5.35 , -16.35

The width of swimming pool = w = 5.35 feet

The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet

Hence, The Length of swimming pool is 8.35 feet

And The width of swimming pool is 5.35 feet

Answer

3 0

3 years ago

Point m is located at 4,-2 what is located 2 units for point m

eimsori [14]

Answer:

None

Step-by-step explanation:

Given

$m = (4,-2)$

Required

Point 2 units from m

There are 4 possible points 2 units from m and they are:

$m' = (4+2,-2) = (6,-2)$

$m" = (4,-2+2) = (4,0)$

$m'''= (4-2,-2) = (2,-2)$

$m'''' = (4,-2-2) = (4,-4)$

From the graph, we have:

$A = (4,2)$

$B = (-4,2)$

$C = (2,-3)$

None of the points is 2 units from m

7 0

2 years ago