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3 years ago

Selena is 2 years older than Maria, and Sofia is 3 years younger than Maria. If the sum

Mathematics

2 answers:

Margarita [4]3 years ago

5 0

Answer:

Hi! Maria is 15 years old, Selena - 17 and Sofía - 12

natita [175]3 years ago

5 0

Hi there! Maria is 15 years old, Selena is 17 years old and Sofia is 12 years old.

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Factor completely. 36x4+18x3+40x2 Enter your answer in the box.

sattari [20]

Answer:

2x^2·(18x^2 +9x +20)

Step-by-step explanation:

The terms all have a common factor of 2x^2. Removing that leaves a quadratic that cannot be factored using integers.

3 0

4 years ago

.Sammie paid $249.99 for a game system and then bought two equally-priced games. If she spent a total of $339.97, what is the pr

bulgar [2K]

Answer: $44.99

Step-by-step explanation:

Let P = equal prices games

The equation would be

249.99+2p=339.97

Subtract 249.99 from each side

2p=339.97

Divide by two and you got the answer.

6 0

3 years ago

Consider the line y = 7x-9.

KatRina [158]

$y = \frac{-1}{7}x -\frac{8}{7}$ is the equation of the line that is perpendicular to this line and passes through the point (6, -2)

y = 7x - 44 equation of the line that is parallel to this line and passes through the point (6, -2)

Solution:

Given that line is:

y = 7x - 9

The equation of line in slope intercept form is given as:

y = mx + b ------ eqn 1

Where, "m" is the slope of line and "b" is the y intercept

On comparing eqn 1 with y = 7x - 9 we get,

m = 7

<h3>Find the equation of the line that is perpendicular to this line and passes through the point (6, -2)</h3>

We know that,

Product of slope of a line and slope of line perpendicular to given is always -1

Therefore,

$7 \times \text{ slope of line perpendicular to it } = -1\\\\\text{ slope of line perpendicular to it } = \frac{-1}{7}$

Now find the equation of line:

$\text{ Substitute } m = \frac{-1}{7} \text{ and } (x, y) = (6, -2) \text{ in eqn 1}$

$-2 = \frac{-1}{7} \times 6 + b\\\\-2 = \frac{-6}{7} + b\\\\b = -2+\frac{6}{7}\\\\b = \frac{-14+6}{7}\\\\b = \frac{-8}{7}$

$\text{Substitute } m = \frac{-1}{7} \text{ and } b = \frac{-8}{7} \text{ in eqn 1}\\\\y = \frac{-1}{7}x -\frac{8}{7}$

Thus the equation of line perpendicular to given line is found

<h3>Find the equation of the line that is parallel to this line and passes through the point (6, -2)</h3>

Slopes of parallel lines are equal

Therefore, m = 7

Substitute m = 7 and (x, y) = (6, -2) in eqn 1

-2 = 7(6) + b

-2 = 42 + b

b = -44

Substitute m = 7 and b = -44 in eqn 1

y = 7x - 44

Thus equation of line parallel to given line is found

8 0

3 years ago

A few days after his birthday, a RETIRED mathematics teacher was musing. He realised that his age was a prime number. He then no

yKpoI14uk [10]

He is 71 which is a prime number.
A year ago he was 70 which is 2x5x7 all prime and distinct (different). In a years time he will be 72 which is 8 cubed x 3 squared.

5 0

4 years ago

Two parallel lines are crossed by a transversal. What is the value of x ?

olga nikolaevna [1]

Answer:

Angle x = angle 115°.

Step-by-step explanation:

Given : Two parallel lines are crossed by a transversal.

To find : What is the value of x.

Solution : We have given Two parallel lines are crossed by a transversal.

Corresponding angles : A pair of angle that lies on the same side of the transversal line one lies on interior angle and other lies on exterior.

Corresponding angle are equal.

Then , angle x = angle 115 are corresponding.

Therefore, angle x = angle 115.

4 0

3 years ago

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