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2 years ago

Which of the following values are solutions to the inequality 1 + 5x < 4?

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

7 0

Step-by-step explanation:

you cant add 1 to 5x, so subtract 1 on both sides leaving you with 1 + 5x < 4 that equals 5x < 3 -1 -1

then divide 5 from both sides 5x < 3 This leaves 5 5

you with x < 3/5

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The two legs (labeled x) of the right triangle below have equal length. If the hypotenuse has length 5√2 , solve for x.

leonid [27]

Answer:

x=5

Step-by-step explanation:

Other than using the plain special aspect of a 45-45-90 triangle where the legs are x, x, and x√2, you can solve for this.

Since the two legs have equal length, they are both x. Using the pythagorean theorem:

(x^2)+(x^2)=50 (Because 5 squared is 25 and √2 squared is 2, multiplying them gives you 50).

You can add (x^2) and (x^2) because they are the same terms (x squared).

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6 0

3 years ago

A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (

Yuri [45]

So the distance between subway stop and house is 19 units

Step-by-step explanation:

The distance formula will be used to calculate the distance between home and subway.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Here (x1,y1) are the coordinates of first point

and

(x2,y2) are the coordinates of second point

Given

(x1,y1) = (7, -6)

(x2,y2) = (-9,5)

Putting the values in the formula

$d=\sqrt{(-9-7)^2+(5-(-6))^2} \\=\sqrt{(-16)^2+(5+6)^2} \\=\sqrt{256+(11)^2}\\=\sqrt{256+121}\\=\sqrt{377}\\=19.41\ units$

Rounding off to nearest unit gives us 19.

So the distance between subway stop and house is 19 units

Keywords: Distance, distance formula

Learn more about distance at:

#LearnwithBrainly

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2 years ago