1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
matrenka [14]
4 years ago
7

suppose that y and z are points on a number line if y z equals 16 + y lies at -4 where could z be located

Mathematics
1 answer:
Masteriza [31]4 years ago
7 0

<u>Corrected Question</u>

Suppose that y and z are points on a number line if yz equals 16 and y lies at -4. Where could z be located?

Answer:

z would be located at -4.

Step-by-step explanation:

If the product of y and z, yz=16

Point y lies at -4.

Substituting y=-4 into yz=16, we obtain:

-4z=16

Divide both sides by -4

z=-4

Therefore, <u>z would be located at -4</u>, which is the same point at which y is located.

y and z are the same points on the number line.

We know our result is correct because the product of two negative numbers is positive.

You might be interested in
Complete the proof of the identity by choosing the Rule that justifies each step.
Sever21 [200]
<h3><u>Answer </u><u>:</u><u>-</u></h3>

( 1 - cos²x ) secx

=> sin²x . secx

Here the rule ( rule 1 ) is the first trigonometric identity [ sin²A + cos²A = 1 ] by simplifying we have , [ 1 - cos²A = sin² ] . So here we substituted 1 - cos²x = sin²x .

=> sin²x [ 1/cosx ]

Here the rule ( rule 2 ) is secx = 1/cosx . So here we substituted secx = 1/cosx .

=> sinx [ sinx/cosx ]

Here the rule ( rule 3 ) is sin²x can be written as sinx . sinx , so we get sinx . sinx [ 1/cosx ] next by simplifying , sinx [ sinx/cosx ].

=> sinx tanx

Here the rule ( rule 4 ) is , in the above we got sinx/cosx and here we know that , sinx/cosx = tanx . So we have tan x .

4 0
3 years ago
What is 8(1/4x-3)+24&lt;4(x+5)
Sergio039 [100]

Hey there!

We can solve inequalities just like equations. There is only one difference though. If you ever multiply or divide both sides by a negative number, you "flip" the inequality sign.

First, let's undo the parentheses.

2x-24+24<4x+20

We simplify.

2x<4x+20

We subtract 4x from both sides.

-2x<20

We divide both sides by -2 (we will need to flip the inequality sign).

x>-10

I hope this helps!


5 0
4 years ago
An experiment using 35 guinea pigs is set up to study the weight of the pigs after injecting them with a drug. If the population
jeka94

Answer:

1.1264

Step-by-step explanation:

Given : An experiment using 35 guinea pigs is set up to study the weight of the pigs after injecting them with a drug.

To Find: If the population mean is 23.5 grams with a standard deviation of 3.4 grams, what is the margin of error of the sample mean?

Solution:

n = 35

\sigma = 3.4

Confidence interval = 95%. So, z =1.96

Margin of error = z \times \frac{\sigma}{\sqrt{n}}

Margin of error = 1.96\times \frac{3.4}{\sqrt{35}}

Margin of error = 1.1264

Hence the margin of error of the sample mean is 1.1264.

6 0
3 years ago
Read 2 more answers
1. What are the slope and y-intercept of<br> the equation y = 2x – 8?
kumpel [21]

Answer:

2x is your slope and -8 is your y intercept

Step-by-step explanation:

6 0
3 years ago
What is the capacity of a 5cm cube in liters?
xz_007 [3.2K]

1 liter = 1 dm³ = 1000 cm³.

Therefore 5 cm³ = 5 / 1000 liter = 0.005 liters.

Green eyes.

8 0
3 years ago
Other questions:
  • What is 2y=4x+10 (solve for y) and -5y+15=3x? (Solve for y)
    14·1 answer
  • Expand the equation: (2x^2-y^4)^2
    13·2 answers
  • The radius of a hemisphere is 6 inches. Which formula can be used to find the surface area of the hemisphere?
    7·1 answer
  • This refers to relationships among and between variables. It has a value between -1 and 1 that indicates direction and strength.
    8·1 answer
  • What is the sample space for a spinner with four equal sections, numbered 1 to 4?
    15·2 answers
  • Does a line have one dimension, length?
    6·1 answer
  • Choose all the ways the ratio of five girls to 9 boys can be written. the options are
    9·1 answer
  • John mows 1/3 of his lawn in 30 minutes. If he mows his lawn for 1 hour. How much can he mow?
    9·1 answer
  • A man who is 2m tall stands on horizontal ground 30m from a tree . The Angel of elevation of the top of the tree from his eyes i
    6·1 answer
  • How much would it cost to buy 15 books if books are $5 each, and there is a flat rate shipping fee of $6? Write the equation for
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!