MATHEMATICS HIGH SCHOOL

What is the x-intercept of the line with this equation −2x 12y=18 enter your answer in the box. (?, 0)

Answers

Answer 1

Answer:

Answer:

x-intercept of the given line is, (-9, 0)

Step-by-step explanation:

x-intercept says that a line crosses the x-axis

Substitute y = 0 and solve for x.

As per the statement:

An equation of line is given as:

$-2x+2y = 18$

To find the x-intercept:

Substitute y = 0 and solve for x:

$-2x+12(0) = 18$

⇒-2x = 18

Divide both sides by -2 we get;

x = -9

Therefore, the x-intercept of the line is, (-9, 0)

Answer 2

Answer: I did this test too! The answer was (-9, 0)

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What is the range of the following data values? 47, 28, 92, 34, 83

Answers

First, put all of the numbers in a list ranking from high to low (or low to high) and subtract the highest and lowest values.

92 - 28 = 64
The range is 64

Hope this helps!!

Answer:

Step-by-step explanation:

Which statement about vertical angles is false?A. They are formed by two intersecting lines
B. They share a common vertex
C. They share a common side
D. They are congruent

Answers

The answer is C..

They do not share a side at all.

The dimensions of a conical funnel are shown below:A conical funnel is shown with the height of the cone as 6 inches and the radius of the base as 2 inches.

Nadia closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 10 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.)
2.51 minutes
7.53 minutes
4.18 minutes
3.14 minutes

Answers

Volume of a conical funnel = π r² h/3
v = 3.14 * (2in)² * 6in/3
v = 3.14 * 4in² * 2in
v = 25.12 in³

25.12 in³ ÷ 10 in³ per minute = 2.512 minutes

It will take 2.51 minutes for all the liquid to pass through the nozzle.

Answer:

2.51 minutes

Step-by-step explanation:

Step 1: Find the total volume of the funnel

The volume of a cone can be calculated by below formula:

$V=(1)/(3)pi*r^(2)h$

Where V is volume, pi is π, r is the radius of the base of the cone and h is the height of the cone

pi = 3.14

r = 2 inches

h = 6 inches

$V=(1)/(3)pi*r^(2)h$

$V=(1)/(3)*3.14*2^(2)*6$

$V=25.12 in^(3)$

Step 2: Determine the time taken for funnel to empty

Assuming rate of emptying of funnel is constant

$t=(V)/(R)$

Where t is the time taken to empty the funnel and R is the rate at which the liquid drips

V = 25.12 cubic inches

R = 10 cubic inches/minute

$t=(V)/(R)$

$t=(25.12)/(10)$

$t=2.512 minutes$

if an office building has 77 offices currently being rented.this represents 70% of the total units.how many offices are in the building

Answers

77 offices/ (70/100)
= 77 offices* (100/70)
= 110 offices.

There are 110 offices in the building~

9=ln(x+7) | Solve for x

Answers

remember that ln= $log_(e)$
and

$log_(a)x=y$ means $a^y=x$
convert
ln(x+7)=9 means
e^(9)=x+7
minus 7 from both sides
e^9-7=x
use calculator to evaluate
8096.08=x aprox

Help, ! I’m so lost at this point.

Answers

Remember PEMDAS

Parentheses

Exponents

Multiply/Divide

Add/Subtract

in that order

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