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2 years ago

Allen subtracts (11x + y) from (ax + 6y). His correct answer is − 10x + 5y. What is the value of a?

Mathematics

1 answer:

castortr0y [4]2 years ago

7 0

A=1

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PLEASE can someone explain why The exact value of sec ( π/6) is 2 /√ 3 ??

Umnica [9.8K]

$\bf sec\left( \frac{\pi }{6} \right)\qquad recall\to sec(\theta)=\cfrac{1}{cos(\theta)}\qquad thus
\\\\
sec\left( \frac{\pi }{6}\right)\iff \cfrac{1}{cos\left( \frac{\pi }{6}\right)}
\\\\\\
\textit{check your Unit Circle for what the }cos\left( \frac{\pi }{6}\right)\ is
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\cfrac{1}{\frac{\sqrt{3}}{2}}\implies \cfrac{\frac{1}{1}}{\frac{\sqrt{3}}{2}}\implies 
\cfrac{1}{1}\cdot \cfrac{2}{\sqrt{3}}\implies \cfrac{2}{\sqrt{3}}$

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2 years ago

Given the equation y = 4x - 3.A) If x increases by 1 unit, what is the corresponding change in y? B) If x decreases by 5 units,

DedPeter [7]

Answer:

A) y will increase by 4 unit.

B) y will decrease by 20 units

Step-by-step explanation:

Given equation that shows relation between x and y.

$y=4x-3$

A) If x is increased by 4 units

New value of y = $4(x+1)-3$

$=4x+4-3$

$=4x+1$

So, change in y = new value of y- original value of y

$=4x+1-(4x-3)$

$=4x+1-4x+3$

$=4$

Thus, the value of y will be increased by 4 units.

B) If x is decreased by 5 units

New value of y = $4(x-5)-3$

$=4x-20-3$

$=4x-23$

So, change in y = new value of y- original value of y

$=4x+1-(4x-3)$

$=4x-23-(4x-3)$

$=4x-23-4x+3$

= -20

Thus, the value of y will be decreased by 20 units.

7 0

3 years ago

I am greater than 15 I am less than 21 I have 8 ones

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

bc 8 digits in the ones place, and less than 21 greater than 15

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3 years ago

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Is the height of 6 and the volume of 96 proportional to the height of 4 and the volume of 64

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Answer:

yes it is and there has to be 20 characters so gonna type random stuff after

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2 years ago

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Which statements are true for the given quadrilaterals? Choose all answers that are correct. A. All trapezoids are quadrilateral

svetlana [45]

Trapezoids always have 4 sides, so this is true. All rhombuses have parallel sides, so B is true also. A trapezoid has two sides that are not parallel, so C is not true. (remember, you only have to find one instance where your statement is false for it to be false) And for D, all rhombuses are kite-shaped so D is not true. A and B are true. Hope this helps. :)

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3 years ago

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