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3 years ago

The answer to 4(7m+6f)

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

8 0

Answer:

28m + 24f

Step-by-step explanation:

4(7m + 6f)

28m + 24f (distributive property of equality)

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JL is a diameter of circle k. If tangents to circle I are constructed through points L and K what relationships would exist betw

luda_lava [24]

i. Let t be the line tangent at point J. We know that a tangent line at a point on a circle, is perpendicular to the diameter comprising that certain point. So t is perpendicular to JL
let l be the tangent line through L. Then l is perpendicular to JL ii. So t and l are 2 different lines, both perpendicular to line JL.
2 lines perpendicular to a third line, are parallel to each other, so the tangents t and l are parallel to each other.
Remark. Draw a picture to check the

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4 years ago

For the geometric series given by 5 + 10 + 20+ . . . , which of the following statements is FALSE?

slava [35]

Answer:

All statements are true

Step-by-step explanation:

1. The statement $S_{500}>S_{499}$ is true, because $S_{499}$ is the sum of first 499 terms, $S_{500}$ is the sum of first 500 terms, and all these terms are positive, then the sum of smaller number of terms is less than the sum of larger number of terms.

2. The statement $S_{500}>a_{500}$ is true, because $S_{500}$ is the sum of first 500 terms, $a_{500}$ is 500th term and the sum of 500 terms is greater than the 500th term.

3. The statement $S_1=a_1$ is true, because $S_1$ is the sum of first 1 term that is exactly $a_1.$

All statements are true.

5 0

4 years ago

Look at the following figure. Copy the cross onto another piece of paper. Then, cut apart the four pieces labeled A, B, C, and D

kozerog [31]

Answer:

C should slot on top of A.

Then D should slot in next to C of the left.

Lastly B should be beneath D and on the left of A.

Hope that makes sense.

3 0

4 years ago

Which is bigger, <br> a) 70% of 300 <br> b) ¼ of 600?<br> ∞Δ∞

Artist 52 [7]

Since 300 is 100%, you treat it as such.

300/(100/70) = 210 (rounded)

You do a similar thing for 600

1/4 of 100 is 25
100/25 = 4
600 / 4 = 150

70% of 300 is more.

4 0

3 years ago

What length is the shorter leg of a right triangle that has hypotenuse 50 in long and its perimeter is 112 inches?

Brut [27]

The length of the shorter leg is 14 inches.

We will set up two equations for this; first, for the perimeter. We will call the legs a and b:

a + b + 50 = 112

Subtract 50 from both sides:
a + b + 50 - 50 = 112 - 50
a + b = 62

We will isolate a, so we can use substitution. Subtract b from both sides:
a + b - b = 62 - b
a = 62 - b

Now we will set up our Pythagorean theorem equation:
a² + b² = 50²
a² + b² = 2500

We will substitute our value for a from the first equation into this one:
(62-b)² + b² = 2500
(62 - b)(62 - b) + b² = 2500

Multiplying the binomials, we have:
62*62 - b*62 - b*62 -b(-b) + b² = 2500
3844 - 62b - 62b + b² + b² = 2500

Combining like terms:
3844 - 124b + 2b² = 2500

To set it equal to 0 and solve, we subtract 2500 from both sides:
3844 - 124b + 2b² - 2500 = 2500 - 2500
1344 - 124b + 2b² = 0

In standard form, we have
2b² - 124b + 1344 = 0

Using the quadratic formula,
$\frac{--124\pm \sqrt{(-124)^2-4(2)(1344)}}{2(2)}
\\
\\=\frac{124\pm \sqrt{15376-10752}}{4}
\\
\\=\frac{124\pm \sqrt{4624}}{4}=\frac{124\pm 68}{4}=\frac{124+68}{4}\text{ or }\frac{124-68}{4}
\\
\\=\frac{192}{4}\text{ or }\frac{56}{4}=48\text{ or }14$

The shorter leg is 14 and the longer one is 48.

8 0

3 years ago

Read 2 more answers