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2 years ago

Interpreting linear expressions 5 stars if answer is correct have a splendid day

Mathematics

1 answer:

Mandarinka [93]2 years ago

5 0

Answer:

Total number of kilometers in the ride = k

Number of kilometers Garret has already biked = 5

Number of kilometers left in the ride = 5-k

Number of minutes Garret takes per kilometer = 4

Therefore, the image shown is correct.

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Please help with number 16

Andre45 [30]

Answer:

2) reflexive property

3) given

4) substitution postulate

5) substitution postulate

6) addition postulate

7) partition postulate

8) equal length line segments are congruent

9) SSS theorem

Step-by-step explanation:

7 0

2 years ago

Which is equivalent?

attashe74 [19]

Answer:

the answer is -8

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$

horrorfan [7]

Answer:

$A +B+C+D = 3$ is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

$A+B+C+D = ?$ if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under $\sqrt$ (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

$\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}$

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, $A +B+C+D = 5+6-10+2 = \bold3$

5 0

3 years ago

1 BRAINLIEST and 10 points!

erastovalidia [21]

Answer:

≈40.25 Feet

Step-by-step explanation:

The diagnal length of the orchard is the hypotenuse of the triangal with side lengths of 36 and 18.

Therefore, to calculate that, set the hypotenuse as x.

36²+18²=x²

√1620≈ 40.25yards

If I'm wrong I'm so sorry! I'm wrong sorry

If I'm right Thank you

(lost)

3 0

2 years ago

Read 2 more answers

How do you find the end behavior?

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

In this lesson, you will learn what the "end behavior" of a polynomial is and how to analyze it from a graph or from a polynomial equation.

What's "end behavior"?

The end behavior of a function

ff describes the behavior of the graph of the function at the "ends" of the

xx-axis.

In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the

xx-axis (as

xx approaches

∞

+∞plus, infinity) and to the left end of the

xx-axis (as

xx approaches

−

∞

−∞minus, infinity).

yyxxy=

f(x)

y=f(x)

x gets

+ more +

f(x) gets

+ more +

For example, consider this graph of the polynomial function

fff. Notice that as you move to the right on the x

xx-axis, the graph of f

ff goes up. This means, as x

xx gets larger and larger,

f(x)

f(x)f, left parenthesis, x, right parenthesis gets larger and larger as well. Mathematically, we write: as

x→+x→+∞x, right arrow, plus, infinity,

f(x)→+∞

f(x)→+∞f, left parenthesis, x, right parenthesis, right arrow, plus, infinity. (Say, "as xxx approaches positive infinity, f(x)

f(x)f, left parenthesis, x, right parenthesis approaches p

5 0

3 years ago