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2 years ago

Please Help. >.< Is This True Or False?

Mathematics

2 answers:

Viktor [21]2 years ago

6 0

Answer:

False

Step-by-step explanation

I believe it's false

gizmo_the_mogwai [7]2 years ago

3 0

Answer:

False

Step-by-step explanation:

Absolute value is the magnitude of a quantity, irrespective of the sign; the distance of a quantity from zero. So any integer inside absolute value will become positive. So the equation ends up being:

22.5<14.75 which is false.

You might be interested in

In ΔPQR, sin R = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D" id="TexFormula1" title="\frac{3}{5}" alt="\frac{3}{5}"

solong [7]

Answer:

Since we know that ΔPQR is a right triangle, we can also asume that:

sin R = cos P = 3/5

So the answer is (d).

* This formular can also be applied to other right triangles.

In a right triangle, sine of one acute angle will always be equal to cosine of the other acute angle.

And we can check this by actually finding cos P using the lengths of the sides, by calculating PR first:

PR = √(PQ² + RQ²) = √(12² + 16²) = 20

=> cos P = PQ/PR = 12/20 = 3/5

6 0

2 years ago

What are the zeros of the quadratic function f(x) = 8x2 – 16x – 15? x = –1 – Startroot 2 EndRoot and x = –1 + Startroot 2 EndRoo

tester [92]

Answer:

$x =1 + \sqrt{ \frac{23}{8} }$

$x =1 - \sqrt{ \frac{23}{8} }$

Step-by-step explanation:

The given quadratic function is

$f(x) = 8 {x}^{2} - 16x - 15$

To find the roots, we set f(x)=0 to get:

$8 {x}^{2} - 16x - 15 = 0$

The solution is given by:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

where a=8, b=-16, c=-15

We substitute to get:

$x = \frac{ - - 16 \pm \sqrt{ {( -1 6)}^{2} - 4 \times 8 \times - 15} }{2 \times 8}$

We simplify to get:

$x = \frac{ 16 \pm \sqrt{256 + 480} }{16}$

$x =1 \pm \sqrt{ \frac{23}{8} }$

$x =1 - \sqrt{ \frac{23}{8} }$

$x =1 + \sqrt{ \frac{23}{8} }$

8 0

2 years ago

Read 2 more answers

SEND HELP I HAVE NO IDEA HOW TO DO THIS

irina [24]

1) x² - x - 12 = 0

Factor it

(x-4)(x+3) = 0

Study the factors

x-4 = 0 -> x =4
x+3 = 0 -> x = -3

2) t = x²

x⁴ = (x²)²

t² + 3t - 4 = 0

Use quadratic formula:

(-b±√b²-4ac)/2a

(-3±√9+16)/2

(-3±5)/2

t1 = 2/2 = 1
t2 = -8/2 = -4 (not possible, we choose t1)

So x² = 1

Result: x = <span>±1

3) Square both sides

2x-4 = (x-6)</span>²

2x-4 = x²-12x+36

Take all terms to the left

2x - 4 - x² + 12x - 36 = 0

-x² + 14x - 40 = 0

x² - 14x + 40 = 0

Use quadratic formula:

(-b±√b²-4ac)/2a

(14±√196-160)/2

(14±6)/2

x1 = 10
x2 = 4

Let's check

√2(10) - 4 = 10 - 6
√20-4 = 4
√16 = 4
4 = 4 (OK)

√2(4) - 4 = 4 - 6

√8-4 = -2

√4 = -2

2 = -2 (NO)

So x = 10

4) Factor x²-9 = (x-3)(x+3)

So the common denominator would be (x-3)(x+3)

$\frac{x(x+3)+x(x-3)}{(x+3)(x-3)} = \frac{2}{(x+3)(x-3)}$

Cancel out the denominators...

x+3 ≠ 0 -> x ≠ -3
x-3 ≠ 0 -> x ≠ 3

Take all members to the left

x(x+3)+x(x-3)-2 = 0

x²+3x+x²-3x-2 = 0

2x² - 2 = 0

2x² = 2

x² = 1

x = ±1

6 0

2 years ago

Maurice fills a ball in the shape of a sphere with air. The diameter of the ball when it is filled is 24 inches. How much air, i

djverab [1.8K]

Answer:

2304pi inches³

Step-by-step explanation:

volume of ball = 4/3pi r³

=4/3 x pi x 12³=2304 pi inches³

5 0

2 years ago

Is 4/5 x 7/7 greater than or less than 4/5 (help plsss)

guapka [62]

Answer:

Equal

Step-by-step explanation:

4 0

2 years ago