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3 years ago

Find the distance between the pair of points given on the graph

Mathematics

1 answer:

seraphim [82]3 years ago

7 0

The right answer is √74 units.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

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In 26,059, in which place is the 2? tens thousands hundreds ten thousands

dedylja [7]

The digit 2 is in the ten thousands place

6 0

2 years ago

Plz help

kvv77 [185]

Option C: $5 x(4 x+7)(3 x+2)$ is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is $60 x^{3}+145 x^{2}+70 x$

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

$5 x\left(12 x^{2}+29 x+14\right)$

Let us break the expression $12 x^{2}+29 x+14$ into two groups, we get,

$5x[\left(12 x^{2}+8 x\right)+(21 x+14)]$

Factoring 4x from the term $12 x^{2}+8 x$ , we get,

$5x[4 x(3 x+2)+(21x+14)]$

Similarly, factoring 7x from the term $21 x+14$ , we get,

$5x[4 x(3 x+2)+7(3x+2)]$

Now, let us factor out $3x+2$ , we get,

$5 x(4 x+7)(3 x+2)$

Hence, the possible expressions for length, width and height of the prism is $5 x(4 x+7)(3 x+2)$

Therefore, Option C is the correct answer.

8 0

2 years ago

Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 7/8 of the route, and swims the rest of the way. She swims

hjlf

Answer:

12 miles

Step-by-step explanation:

Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 1/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.

Total distance Alyssa cycled and ran =

$\frac{4}{5} + \frac{1}{8}$

$\frac{32 + 5}{40}$ = $\frac{37}{40}$

Distance she swam = 1 - 37/40 = 3/40

3/40 of the distance is 0.9

the total distance = 40/3 x 0.9 = 12 miles

3 0

2 years ago

Simplify the following expression by combining like terms and factoring. 2(x-6)+4(2x+1)+3

Shkiper50 [21]

Answer:

5(2x - 1)

Step-by-step explanation:

Given

2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis

= 2x - 12 + 8x + 4 + 3 ← collect like terms

= (2x + 8x) + (- 12 + 4 + 3)

= 10x + (- 5)

= 10x - 5 ← factor out 5 from each term

= 5(2x - 1) ← in factored form

4 0

2 years ago

Sarah has whole milk, which contains 3.25% butterfat by volume, and one type of low-fat milk,

givi [52]

Answer:

D is the answer

Step-by-step explanation:

We want a mixture of low-fat and whole milk to equal 32ounces

Therefore, we know one equation is:

l + w = 32

That 32 ounce mixture should be 2% butter fat

So the amount of butter fat we want is

2% of 32 = 0.64 ounces

At the same time, this mixture contains low-fat and whole milk, which contain 1% and 3.25% butter fat respectively.

therefore, the butter fat in low-fat and whole milk is 0.01l and 0.0325w respectively.

The coefficients are just the percentages in decimal form

Due to the law of conservation of mass,

The addition of these two should yield the final amount of butter fat, meaning the other equation is:

0.01l + 0.0325w = 0.64

7 0

2 years ago