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3 years ago

Geometry

Mathematics

1 answer:

MissTica3 years ago

5 0

Answer:

Root:(-⅗,0)

vertical intercept:(0,5)

Step-by-step explanation:

I'm sorry may be that's the only answer

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Find the regular price. Round to the nearest cent . Sales price is 56.78 percent discount is 40%

LenaWriter [7]

$100\%-40\%=60\%\\60\% = \frac{60}{100}=\frac{6}{10}=\frac{3}{5}\\\\$

Numerator is 3 and denominator is 5. So, we divide the sales price by 3 and we multiply by 5 to get the whole fraction, or 100%.

$\frac{56.78*5}{3} \\\frac{283.9}{3} \\94.6333333333333...$

Your regular price sounds recurring, so you might have made a mistake copying.

The answer for what you've got is 94.633333...

5 0

3 years ago

Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side

maria [59]

Answer:

cos(a + b) = $\frac{1}{12}(1-2\sqrt{30})$

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = $-\frac{1}{3}$

cos(b) = $-\frac{1}{4}$

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = $-\sqrt{1-(-\frac{1}{3})^2}$ [Since, sin(a) = $\sqrt{(1-\text{cos}^2a)}$ ]

= $-\sqrt{\frac{8}{9}}$

= $-\frac{2\sqrt{2}}{3}$

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.

sin(b) = $-\sqrt{1-(-\frac{1}{4})^2}$

= $-\sqrt{\frac{15}{16}}$

= $-\frac{\sqrt{15}}{4}$

By substituting these values in the identity,

cos(a + b) = $(-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})$

= $\frac{1}{12}-\frac{\sqrt{120}}{12}$

= $\frac{1}{12}(1-\sqrt{120})$

= $\frac{1}{12}(1-2\sqrt{30})$

Therefore, cos(a + b) = $\frac{1}{12}(1-2\sqrt{30})$

5 0

3 years ago

Solve the quadratic. x^2+8x+3=0

Reil [10]

Factor
find wht 2 numbers add to 8 and multiply to 3
none do

use quadratic formula which can be used when
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}}-4ac }{2a}$

a=1
b=8
c=3

x= $\frac{-8+/- \sqrt{8^{2}-4(1)(3)} }{2(1)}$
x= $\frac{ -8+/- \sqrt{64-12} }{2}$
x= $\frac{ -8+/- \sqrt{52} }{2}$
x= $\frac{ -8+/- 2 \sqrt{13} }{2}$
x= $-4+/- \sqrt{13}$

x= $-4+ \sqrt{13}$ or x= $-4- \sqrt{13}$
aprox x=-7.60555 or x=-0.394449

6 0

3 years ago

Read 2 more answers

Unit Test

Virty [35]

I believe it’s b because of the way that it is

6 0

3 years ago

Graph the equation<br> y = 5x<br> Use the graphing tool to graph the line.

taurus [48]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

You want a line that goes through (0, 0) and has a slope of 5. That means it will also go through (1, 5) and (2, 10), for example. I like the attached graphing tool because it will draw the graph directly from the equation.

8 0

3 years ago