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2 years ago

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You are given a number line with a left endpoint R, a point in between the two endpoints (not a midpoint though) of S, and a rig

ht endpoint T. If RS = 15 and ST=9, then what is the length of RT?

1 answer:

Nina [5.8K]2 years ago

3 0

You just add the lengths of RS and ST together. In your case RT= 24

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7a^2/9b^4 simplify the fraction

CaHeK987 [17]

$7* \dfrac{a^2}{9}b^4$

$\dfrac{7a^2b^4}{9}$

7 0

2 years ago

Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 2-√6 , 2+ √6

horsena [70]

Answer:

$x^{4} -18x^{3}+104x^{2} -172x-100$

Step-by-step explanation:

The 3 roots are given out of which 2 are real and 1 is imaginary. For a polynomial of least degree having real coefficients, it must have a complex conjugate root as the 4th root. Therefore, based on 4 roots, the least degree of polynomial will be 4. Finding the polynomial having leading coefficient=1 and solving it based on multiplication of 2 quadratic polynomials, we get:

$\\\\x_{1} = 2-\sqrt{6} \\x_{2} = 2+\sqrt{6} \\x_{3}=7-i \\x_{4}=7+i \\\\P(x)=1(x-x_{1})(x-x_{2} )(x-x_{3} )(x-x_{4} ) \\\\=(x-(2-\sqrt{6}))( x-(2+\sqrt{6} )) (x-(7-i))( x-(7+i))\\=((x-2)+\sqrt{6})( ( x-2)-\sqrt{6} ) ((x-7)+i)( (x-7)-i)\\=((x-2)^{2} -(\sqrt{6} )^{2} )((x-7)^{2}-(i)^{2})\\=(x^{2} -4x-2)(x^{2} -14x+50)\\=x^{4} -18x^{3}+104x^{2} -172x-100\\$

7 0

2 years ago

A triangles interior angles are 32 and 64 what is the other one. I need this ASAP.

larisa86 [58]

Answer:

86

Step-by-step explanation:

This is because the angles should add up to 180. So 32 + 64 is 96. Then you subtract 96 from 180 to get 86.

7 0

2 years ago

A map of a park says its scale is 1 to 100. What does that mean?

Alex777 [14]

A scale is a term that refers to the <em>representative fraction</em> for comparing the <u>original</u> length and <u>image</u> length of a given <u>object</u>. It means implies that every 1 unit on the <u>drawing</u> is equal to <u>100</u> units on the <u>park</u>.

A <em>scale</em> is a term that can be referred to as the <em>representative fraction</em> that compares the <u>original</u> length and <u>image</u> length of a given <em>object</em>. Types of <u>scale</u> include enlarged scale, reduced scale, and real scale.

Enlarged scale is a <u>scale</u> that is used when the <u>size</u> of a given <em>object</em> is to be <em>increased</em>.
<em>Reduced scale</em> is used when the <u>size</u> of a given <u>object</u> is to be <em>decreased</em>.
<u>Real scale</u> implies the <em>exact size</em> of a given <u>object</u>.

<u>Scale</u> can be expressed as;

Scale = $\frac{length on drawing}{original length}$

Thus a <em>scale</em> has no unit.

Therefore, the given question <em>implies</em> that every 1 unit on the <u>drawing</u> is equal to 100 units on the <u>original</u> park. Thus it is a <em>reduced scale</em>.

For more clarifications on a scale drawing, visit: brainly.com/question/23209981

#SPJ1

6 0

8 months ago

If the reciprocal of the number $X$ equals $\frac{2}{7}$, what is $5$ divided by $X$?

grigory [225]

U can find the reciprocal of a number by flipping the number.
example : the reciprocal of 1/5 is 5/1....the reciprocal of 2/3 = 3/2.

the reciprocal of x = 2/7.....that means x = 7/2

5 / (7/2) = when dividing fractions, flip what u r dividing by, then multiply
5 * 2/7 =
10/7 or 1 3/7 <==

5 0

2 years ago