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3 years ago

Can someone help me out?

Mathematics

1 answer:

Alexeev081 [22]3 years ago

7 0

Answer: factorise the equation 49x^2+70x+25

Step-by-step explanation:

49x^2+70x+25

(7x)^2+2*7x*5+(5)^2

(7x+5)(7x+5)

therefore the sides of the square are (7x+5)(7x+5)

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In parallelogram ABCD measure angle A=(2x) and measure angle B=(5x+5). what are the measures of the angles of the parallelogram

iragen [17]

Opposite angles are equal, so we know that C=2x and D=5x+5 as well.

The sum of the interior angles of any quadrilateral is 360, so we have

$2(2x+5x+5)=2(7x+5)=360 \iff 7x+5=180 \iff 7x=175 \iff x=25$

So, the measures of the angles are

$2x=50,\quad 5x+5=130$

7 0

3 years ago

“Find two positive numbers such that the sum to 108, and the product of the first with the square of the second is maximum”

dsp73

Answer:

36 and 72

Step-by-step explanation:

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3 years ago

If the perimeter of the triangle is 73 mm, find the value of x.

Dmitry_Shevchenko [17]

Answer:

27 mm

Step-by-step explanation:

The perimeter of the triangle is the sum of all sides lengths. In given triangle

first side has the length of 11 mm, the second side has the length of 35 mm.

If the perimeter is 73 mm, then

$73=11+35+x,\\ \\ x+46=73,\\ \\x=73-46,\\ \\x=27\ mm.$

3 0

3 years ago

Read 2 more answers

A point lies on AB and is the distance from A to B. Point A is located at (1, 10) and point B is located at (20, 18).

Iteru [2.4K]

Answer:

your answer is 6 and 3/7ths and 12 and 2 / 7ths.

Step-by-step explanation:

I had the question and got it right,

6 0

4 years ago

A business has $10,000 in its bank account. In order to build an addition onto its office, it takes out a loan for $30,000 and d

ser-zykov [4K]

Answer:

The new account balance is $40000

Step-by-step explanation:

<em>The number line is not given. However, the question can be solved without it.</em>

Given

$Balance = \$10000$

$Loan = \$30000$

Required

Determine the new balance

$New\ Balance = Initial\ Balance + Loan\ Amount$

$New\ Balance = \$10000 + \$30000$

$New\ Balance = \$40000$

Hence:

<em>The new account balance is $40000</em>

7 0

3 years ago