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3 years ago

Which of the following is a UNIT RATE

Mathematics

1 answer:

viktelen [127]3 years ago

6 0

I believe it is 10miles/2 hours

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The flag of a country contains an isosceles triangle. (Recap that an isosceles triangle contains two angles with the same measur

sesenic [268]

Answer:

30°, 30° and 120°

Step-by-step explanation:

Using the information given in the question.

let x be the measure of each congruent base angle , then

the third angle = 3x + 30

Sum the 3 angles and equate to 180

3x + 30 + x + x = 180, that is

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Thus

The 2 congruent bas angles are each = 30°

The third angle = 3x + 30 = 3(30) + 30 = 90 + 30 = 120°

7 0

3 years ago

Find all the zeros of the equation x^4-6x^2-7x-6=0

rusak2 [61]

Answer:

The zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

$a_0=6,\:\quad a_n=1$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}$

$-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2$

$=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\$

$=x^3-2x^2-2x-3$

Again factor using the rational root test, we get

$=\left(x+2\right)\left(x-3\right)\left(x^2+x+1\right)$

Using the zero product rule, we have

$x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Therefore, the zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

4 0

3 years ago

Read 2 more answers

Please help asap! explaining how you got the answer will give you brainliest.

xeze [42]

It would be 6 because the other short side is 6 so it should be 6 units

7 0

2 years ago

The sum of three consecutive even numbers is 66. What is the smallest of these numbers?

maw [93]

Answer:

Step-by-step explanation:

one way is guess and check method, you draw a table and try out 3 different consecutive even numbers to see which 3 add up to 66

7 0

3 years ago

What is the slope<br> 19,-16<br> -7,-15

zubka84 [21]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 19}}\quad ,&{{ -16}})\quad 
% (c,d)
&({{ -7}}\quad ,&{{ -15}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-15-(-16)}{-7-19}\implies \cfrac{-15+16}{-7-19}
\\\\\\
\cfrac{1}{-26}\implies -\cfrac{1}{26}$

5 0

3 years ago