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2 years ago

Ignore my work,I was just seeing if I know how to work the problem.

Mathematics

1 answer:

HACTEHA [7]2 years ago

8 0

The values of x are 4, -4, and -2.

We can solve this by simply factorising the (x² - 16) bracket into a difference of two squares, to give us (x + 4)(x - 4), and then setting each bracket equal to 0.

When x + 2 = 0, x = -2

When x + 4 = 0, x = -4

When x - 4 = 0, x = 4

I hope this helps!

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Given that y = 8 cm and θ = 34°, work out x rounded to 1 DP.

morpeh [17]

Answer:

Step-by-step explanation:

if y is hypotonuse and x is opposite side:

sin 34=x/8

8*sin 34=x

x=4.47 (3 sf)

tell me in comment if i interpreted question wrong ._.

6 0

2 years ago

The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

Solution: 

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

Hence, Length of rectangle is 1 unit.

5 0

3 years ago

Identify the closest perfect squares less than and greater than the radicand below, respectively.

wariber [46]

It would be A because they’re both perfect squares

3 0

2 years ago

Find the volume. Round to the nearest tenth.

sergey [27]

Answer:

Step-by-step explanation:

volume of cuboid = 8* 8 *23

volume of cylinder = pi * 4^2 r* 23

total colume = 2628.11

3 0

3 years ago

Could someone help me with number 19

azamat

Solving #19

Take y-values from the graph

a) (g·f)(-1) = g(f(-1)) = g(1) = 4
b) (g·f)(6) = g(f(6)) = g(2) = 2
c) (f·g)(6) = f(g(6)) = f(5) = 1
d) (f·g)(4) = f(g(4)) = f(2) = -2

8 0

2 years ago

Ignore my work,I was just seeing if I know how to work the problem.​

Ignore my work,I was just seeing if I know how to work the problem.