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3 years ago

Simplify (x+3) (x+5)

Mathematics

2 answers:

Gala2k [10]3 years ago

8 0

Answer:

x^2 + 8x + 15

Step-by-step explanation:

storchak [24]3 years ago

6 0

Answer:

first open the blackett

then multiply one by one

(x^2+3x+5x+15)

x^2+8x+15

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each morning a gardener uses 24 3/4 gallons of water from a barrel. each afternoon, she adds 15 1/4 gallons of water to the barr

Nimfa-mama [501]

Answer:

$47\frac {1}{2}\ gallons$

Step-by-step explanation:

Assuming that the tank is only for agricultural use, also no significant leakages then at the end of the day, the amount consumed will be equivalent to $24\frac {3}{4}-\ 15\frac {1}{4}=9\frac {1}{2}$

For 5 days, the quantity reduces by 9.5*5=47.5 gallons

Therefore, the barrel would have changed by $47\frac {1}{2}\ gallons$

6 0

3 years ago

R (-3,1) and S (-1,3) are points on a circle. If RS is a diameter, find the equation of the circle.

ELEN [110]

Answer:

$\sf (x+2)^2+(y-2)^2=2$

Step-by-step explanation:

If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.

$\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)$

$\sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)$

$\sf =(-2, 2)$

Equation of a circle: $\sf (x-h)^2+(y-k)^2=r^2$

(where (h, k) is the center and r is the radius)

Substituting found center (-2, 2) into the equation of a circle:

$\sf \implies (x-(-2))^2+(y-2)^2=r^2$

$\sf \implies (x+2)^2+(y-2)^2=r^2$

To find $\sf r^2$ , simply substitute one of the points into the equation and solve:

$\sf \implies (-3+2)^2+(1-2)^2=r^2$

$\sf \implies 1+1=r^2$

$\sf \implies r^2=2$

Therefore, the equation of the circle is:

$\sf (x+2)^2+(y-2)^2=2$

4 0

2 years ago

Please help! geometry probabilities

Sladkaya [172]

You have -4,-3,-2, that is a 3 out of a total of 21 points or numbers on the number line. 3/21 is reduces to 1/7.
3 goes into 21 , 7 times. That is why it reduces to 1/7.

6 0

3 years ago

)Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitutio

Ira Lisetskai [31]

Hi there,

Take y from first equation and use it / substitute it into the second equation:

-2x + 8 = x - 1, so 3x = 9, therefore x = 3.

Then y = x - 1 = 3 - 1 => y = 2.

Solution is (3,2).

A quick check: 2 = -2*3 + 8, true, and 3 = 2 - 1, also true.

Green eyes.

5 0

3 years ago

If two lines intersect, they intersect at a ____.

V125BC [204]

The answer is the word “point”. Hope this helps.

3 0

3 years ago

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