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3 years ago

How do I find QS here?

Mathematics

1 answer:

juin [17]3 years ago

4 0

Answer: 12.
To solve this problem, let's first solve for x. Thi is easiest done by figuring what QR is in terms of x using two equations, both from different lines.
In the first line: QR = 15 - 4x.
In the third line:QR = 13x - 1 - x = 12x - 1.
Now, we have to set these equations equal to each other. 15 - 4x = 12x - 115 = 16x - 116x = 16x = 1
Next, we take line three, 13x - 1, and substitute x as 1. The answer is 12.

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Aleksandr-060686 [28]

Answer:

1038

Step-by-step explanation:

you add 308 and 730

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3 years ago

You have 1 2/5 minutes left of

konstantin123 [22]

Answer: You can watch 14 vines.

Step-by-step explanation: 1 2/5 is equal to 1 4/10

1 4/10 is equal to 14/10

So the amount of vines you could watch is 14 in 1 minute and 24 seconds.

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1 year ago

The sum of squares of two consecutive odd numbers is 514 find the numbers

amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

$\rule{130}1$

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

$\rule{130}1$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup$

When,

$\bullet\: \textsf {x = } \textbf {15}$

$\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17}$

$\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.$

5 0

3 years ago

Please help, I don’t know how to do this.

Molodets [167]

Answer:

Q2: slope = -½

Q3: slope = 1

Step-by-step explanation:

If the equation of the line is in the form y = mx+b, then m is the slope of the line and b is the y-intercept (the point where the line crosses the x-axis).

y = -½x, so the slope of the line is -½

y = x+15, so the slope of the line is 1

6 0

3 years ago

The perimeter of a rectangular pen is 136 meters. If the length is 5 meters more than twice the width, what are the dimensions o

Sati [7]

Answer: width = 21, length = 47

Step-by-step explanation:

Length (L) = 2w + 5

width (w) = w

Perimeter (P) = 136

P = 2L + 2w

136 = 2(2w + 5) + 2w substituted the given values above

136 = 4w + 10 + 2w distributed 2 on the right side

136 = 6w + 10 added like terms (4w and 2w)

126 = 6w subtracted 10 from both sides

21 = w divided both sides by 6

Length (L) = 2w + 5

= 2(21) + 5

= 42 + 5

= 47

7 0

3 years ago