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Plz help I had no idea these things even existed...

GrogVix [38]

X/12=(2 1/3)/5 note that 2 1/3=7/3

x/12=(7/3)/5

x/12=7/15 multiply both sides by 12

x=84/15

x=28/5

x=56/10

x=5.6

4 0

2 years ago

Construct 3 linear equation starting with qiven solution z = 1/3

Andreyy89

Answer:

(a) $9z+2=5$

(b) $21z-11=-4$

(c) $4z=2-2z$

Step-by-step explanation:

We are required to construct 3 linear equations starting with the given solution z = 1/3.

Equation 1

$z=\frac{1}{3}$

Multiply both sides by 9

$9z=\frac{1}{3}\times 9\\9z=3$

Rewrite 3 as 5-2

9z=5-2

Add 2 to both sides

Our first equation is: $9z+2=5$

Equation 2

$z=\frac{1}{3}$

Multiply both sides by 21

$21z=\frac{1}{3}\times 21\\21z=7$

Rewrite 7 as 11-4

21z=11-4

Subtract 11 from both sides

Our second equation is: $21z-11=-4$

Equation 3

$z=\frac{1}{3}$

Multiply both sides by 6

$6z=\frac{1}{3}\times 6\\6z=2$

Rewrite 6z as 4z+2z

4z+2z=2

Subtract 2z from both sides

Our third equation is: $4z=2-2z$

4 0

3 years ago

Monty has 16 toy cars in 4 equal groups and 24 toy boats in 3 equal groups.How many more toy boats are in each group than toy ca

omeli [17]

4 more toy boats are in each group than toy cars

6 0

3 years ago

Which of the following describes the graph of y=\sqrt(-4x-36) compared to the parent square root function?

borishaifa [10]

Answer:

Option D - Stretched by a factor of 2, reflected over the y-axis, and translated 9 units left.

Step-by-step explanation:

Given : The function $y=\sqrt{-4x-36}$

To find : Which of the following describes the graph of $y=\sqrt{-4x-36}$ compared to the parent square root function?

Solution :

First we simplify the given expression

$y=\sqrt{-4x-36}$

$y=\sqrt{4(-x-9)}$

$y=2\sqrt{-(x+9)}$

→When we see the original square root function minus was taken outside x and 9 was added from x and 2 was multiplied to the entire function.

Multiplying 2 in the function will give you the stretched by a factor of 2.

$g(x)=\sqrt{-x}$ shows the reflection about y-axis i.e, (x,y)→(-x,y).

If f(x)→f(x+b) then function is shifted left by unit b

⇒ g(x))→g(x+9) then function is shifted left by unit 9

Therefore, The graph of was stretched by a factor of 2, reflected over the y-axis, and translated 9 units left to obtain the graph of the function .

So, Option D is correct.

6 0

3 years ago

Read 2 more answers

What is the value of x? A. 2 Units B. 3 Units C. 5 Units D. 8 Units

Fudgin [204]

You need the formula for geometric mean for right triangles as it applies to the altitude. For us, that formula will be $\frac{BD}{AD}=\frac{CD}{BD}$ where BD is your altitude. The formula then, filled in accordingly, would be $\frac{10}{x}=\frac{4x}{10}$ . We cross multiply to get that $4x^2=100$ . Divide both sides by 4 to get $x^2=25$ , so x = 5. Choice C is the one you want.

7 0

3 years ago