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3 years ago

Y-7=2y (x-1) write the equation in standard form

1 answer:

4 0

In order for an equation to be in standard form, the equation has to be in Ax+By=c form, where A is equal to the coefficient of x and B is equal to the coefficient of y, whereas c is just the constant, or the number in the equation that isn't being multiplied to a variable. In this case, you should first distribute 2y into (x-1), and then you should perform inverse operations on terms on both sides of the equation such that one side of the equation will only have terms with x and y in them and the other side of the equation will only be a numerical value. When the equation is like this, then the equation is in standard form.

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Are rectangles abcd and wxyz congruent? why or why not? yes, all right angles were preserved. yes, both rectangles have an area

Alexxx [7]

The correct answer is D.

3 0

3 years ago

Read 2 more answers

Help!! help!! help!! help!! help!! help!! help!! help!! help!!

oksian1 [2.3K]

Answer:

(8.21, -20.79)

Step-by-step explanation:

Given the simultaneous equation;

$\frac{a}{b} - \frac{b}{2} = 10\\a - b = 29$

From 2;

a = 29 + b ....3

Substitute 3 into 1;

$\frac{29+b}{b} - \frac{b}{2} = 10\\\frac{2(29+b)-b^2}{2b} = 10\\\frac{58+2b-b^2}{2b} = 10\\58+2b-b^2 = 20b\\b^2-2b-58 = -20b\\b^2-2b+20b -58 = 0\\b^2+18b-58 = 0\\$

Factorize

b = -18±√18²-4(-58)/2

b = -18±√324+232/2

b = -18±√556/2

b = -18±23.58/2

b = -18-23.58/2 and -18+23.58/2

b = -41.58/2 and 5.58/2

b = -20.79 and 2.79

Since a = 29 + b

when b = -20.79

a = 29 - 20.79

a = 8.21

Hence the solution to the system of equation is (8.21, -20.79)

7 0

2 years ago

The sum of Alex's height and Ben's height is 130 inches. Subtracting Alex's height from Ben's height yields one-third of Ben's h

In-s [12.5K]

Ben is 97.5 inches tall.

Alex is 32.5 inches tall.

5 0

3 years ago

Read 2 more answers

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

4 0

3 years ago

Change 0.275 to a fraction

goldenfox [79]

Well, the number is decimal form, is in the thousandths place, so the denominator, would be 1000's:
0.275 = 275⁄1000 
Then, you have to Simplify 275⁄1000 In which, you would get:  11⁄40 

8 0

2 years ago

Read 2 more answers