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3 years ago

Plzzzzzzz help me slove this...

Mathematics

2 answers:

marta [7]3 years ago

5 0

Answer:

1:2

Step-by-step explanation:

chubhunter [2.5K]3 years ago

3 0

Answer:

1. 5:5

2. 5 to 5

3. 5/5

Step-by-step explanation:

5 students speak Spanish out of 10 students, so the other 5 don't speak spanish. That's why it would be 5 to 5, and those are 3 ways to put a ratio.

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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 x- and y-values are equivalent. So, we can solve one equation for y and substitute it into the other and solve for x.

Since the linear equation is easier to solve, solve it for y:

$\displaystyle y = -\frac{3}{4} x + \frac{1}{4}$

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, a = 25, b = -22, and c = -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 x-coordinates.

To find the y-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

Help me please i would really appreciate it ill give 20+ points

Alinara [238K]

It might be d because the side are all the exact same size!

6 0

3 years ago

3.6x+(7.5*2736)=21600

faltersainse [42]

This answer is correct

3 0

3 years ago

Kevin calculated the product of 3.2 x 104 and 3.6 x 102 as 11.52 x 106. Which is the next step that Kevin should app

garri49 [273]

Answer:

the correct answer is C

Step-by-step explanation:

i was just on the question and the correct answer was C. or

Write in scientific notation, moving the decimal in the coefficient one place to the left, which adds 1 to the exponent value.

7 0

3 years ago

Read 2 more answers

Isabella placed $5,000 in a savings account which earns 5.3% interest, compounded every year. How much will she have in

saw5 [17]

Answer:

912

Step-by-step explanation:

8 0

3 years ago