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tatyana61 [14]
3 years ago
10

Please answer this question as fast as you can

Mathematics
1 answer:
WITCHER [35]3 years ago
8 0

Answer:

the answer should be a i hoped this helped\


Step-by-step explanation:


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12/21 in its simplest form
UNO [17]
12/21 in its simplest form is 4/7.

To find this out we need to divide the numerator and denominator by the GCF of 12 and 21 which is 3.

12/21

12 ÷ 3 = 4
21 ÷ 3 = 7
4/7

12/21 in its simplest form is 4/7.

12/21 = 4/7
5 0
3 years ago
Read 2 more answers
(-3,2) and ( 2,-13) slope intercept equation
Georgia [21]

Given:

The points are (-3, 2) and (2, -13).

To find:

Slope-intercept form of the equation.

Solution:

Here x_1=-3, y_1=2, x_2=2, y_2=-13.

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-13-2}{2-(-3)}

$m=\frac{-15}{5}

m = -3

Using point-slope formula:

y-y_1=m(x-x_1)

y-2=-3(x-(-3))

y-2=-3(x+3)

y-2=-3x-9

Add 2 on both sides.

y-2+2=-3x-9+2

y=-3x-7

Slope-intercept form of the equation is y = -3x - 7.

8 0
3 years ago
The table represents an exponential function.
nasty-shy [4]
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3 years ago
Maria has $11 to buy fish for her aquarium. Each goldfish costs $2. How many goldfish can she buy? Do not include units in your
Semmy [17]

Answer:She can buy 5 goldfish.


Step-by-step explanation: If you divide the amount of money she has to spend by the cost of the goldfish;

$11/5 = 5.5

Since she can’t buy 5 and a half goldfish, she can only buy 5.


7 0
3 years ago
Read 2 more answers
Find the two intersection points
bogdanovich [222]

Answer:

Our two intersection points are:

\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)

Step-by-step explanation:

We want to find where the two graphs given by the equations:

\displaystyle (x+1)^2+(y+2)^2 = 16\text{ and } 3x+4y=1

Intersect.

When they intersect, their <em>x-</em> and <em>y-</em>values are equivalent. So, we can solve one equation for <em>y</em> and substitute it into the other and solve for <em>x</em>.

Since the linear equation is easier to solve, solve it for <em>y: </em>

<em />\displaystyle y = -\frac{3}{4} x + \frac{1}{4}<em />

<em />

Substitute this into the first equation:

\displaystyle (x+1)^2 + \left(\left(-\frac{3}{4}x + \frac{1}{4}\right) +2\right)^2 = 16

Simplify:

\displaystyle (x+1)^2 + \left(-\frac{3}{4} x  + \frac{9}{4}\right)^2 = 16

Square. We can use the perfect square trinomial pattern:

\displaystyle \underbrace{(x^2 + 2x+1)}_{(a+b)^2=a^2+2ab+b^2} + \underbrace{\left(\frac{9}{16}x^2-\frac{27}{8}x+\frac{81}{16}\right)}_{(a+b)^2=a^2+2ab+b^2} = 16

Multiply both sides by 16:

(16x^2+32x+16)+(9x^2-54x+81) = 256

Combine like terms:

25x^2+-22x+97=256

Isolate the equation:

\displaystyle 25x^2 - 22x -159=0

We can use the quadratic formula:

\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

In this case, <em>a</em> = 25, <em>b</em> = -22, and <em>c</em> = -159. Substitute:

\displaystyle x = \frac{-(-22)\pm\sqrt{(-22)^2-4(25)(-159)}}{2(25)}

Evaluate:

\displaystyle \begin{aligned} x &= \frac{22\pm\sqrt{16384}}{50} \\ \\ &= \frac{22\pm 128}{50}\\ \\ &=\frac{11\pm 64}{25}\end{aligned}

Hence, our two solutions are:

\displaystyle x_1 = \frac{11+64}{25} = 3\text{ and } x_2 = \frac{11-64}{25} =-\frac{53}{25}

We have our two <em>x-</em>coordinates.

To find the <em>y-</em>coordinates, we can simply substitute it into the linear equation and evaluate. Thus:

\displaystyle y_1 = -\frac{3}{4}(3)+\frac{1}{4} = -2

And:

\displaystyle y _2 = -\frac{3}{4}\left(-\frac{53}{25}\right) +\frac{1}{4} = \frac{46}{25}

Thus, our two intersection points are:

\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)

6 0
3 years ago
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