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3 years ago

Find the equation of the line.

Mathematics

1 answer:

Grace [21]3 years ago

7 0

Answer:

m: $-\frac{1}{3}$

Step-by-step explanation:

Pick two points (0,5) and (3,4)

use the formula to find slope: $\frac{y2-y1}{x2-x1}$

Insert values: $\frac{4-5}{3-0}$

m: $-\frac{1}{3}$

:-)

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Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv

Leona [35]

The inequality is used to solve how many hours of television Julia can still watch this week is $x + 1.5 \leq 5$

The remaining hours of TV Julia can watch this week can be expressed is 3.5 hours

<h3><u>Solution:</u></h3>

Given that Julia is allowed to watch no more than 5 hours of television a week

So far this week, she has watched 1.5 hours

To find: number of hours Julia can still watch this week

<em>Let "x" be the number of hours Julia can still watch television this week</em>

"no more than 5" means less than or equal to 5 ( ≤ 5 )

Juila has already watched 1.5 hours. So we can add 1.5 hours and number of hours Julia can still watch television this week which is less than or equal to 5 hours

number of hours Julia can still watch television this week + already watched ≤ Total hours Juila can watch

$x + 1.5 \leq5$

Thus the above inequality is used to solve how many hours of television Julia can still watch this week.

Solving the inequality,

$x + 1.5 \leq5\\\\x \leq 5 - 1.5\\\\x \leq 3.5$

Thus Julia still can watch Television for 3.5 hours

5 0

3 years ago

Please help!<br> Rewrite the rational exponent as a radical. (2 points)

vladimir2022 [97]

Answer:

<em>Answer:</em> 3) $\sqrt{5}$

Step-by-step explanation:

<u>Radical Form and Exponent Form</u>

A radical can be expressed as a rational exponent following the identity:

$\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}$

We should also recall that:

$(x^n)^m=x^{nm}$

We are given the expression:

$\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}$

Applying the power of power:

$\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)$

Simplifying:

$\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}$

Converting to radical form:

$\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}$

Answer: 3) $\sqrt{5}$

8 0

3 years ago

Graph =−2+5 y = − 2 x + 5 and =−12−3 y = − 1 2 x − 3 . Are the lines parallel, perpendicular, or neither?

NARA [144]

Answer:

They are neither,they intersect but not at a 90 degree angleStep-by-step

explanation: hope this helps :)

8 0

2 years ago

A farm has a square fenced-in area with side length x where the farm gives children pony rides. Adjacent to one entire side of t

Vika [28.1K]

Answer:

1) x²+4x=2700

2) 50x50

Step-by-step explanation:

Pony area = x²

line-up area=4x

x²+4x=2700

x²+4x-2700=0

(x-50)(x+54)

So x= 50 or -54. Since it can’t be a negative number, it must be 50.

CHECK:

Square = 50x50 = 2500

Line up area = 50x4 = 200

2500+200=2700 YES

6 0

4 years ago

Quadrilateral ABCD is inscribed in a circle. What is the measure of A?

Nady [450]

3x + 6 + x + 2 = 180
4x = 180 - 8
4x = 172
x = 43

A = 3x + 6 = 3×43 + 6 = 129 + 6 = 135

8 0

3 years ago