An equation and the first step in its solution are shown.

Equation: x2 + 3x – 9 = 0

Step 1: x2 + 3x + h = 9 + h



What value of h is used to solve the equation by the method of completing the square?

Answer:

The answer is either 1.5 or 0.667

Step-by-step explanation:

x2+3x-9=0

x2+3x=9

6x=9

x=1.5

or

x=667

the value of 'h' used to solve the equation by completing the square method is [tex]\frac{9}{4}[/tex]

Given :

An equation and the first step in its solution are shown.

Equation: [tex]x^2 + 3x -9 = 0[/tex]

Step 1: [tex]x^2 + 3x + h = 9 + h[/tex]

In completing the square method , we take the coefficient of x  and divide it by 2  and then square it

coefficient of x is 3

divide it by 2 , so we get [tex]\frac{3}{2}[/tex]

Then we square it [tex](\frac{3}{2} )^2\\\frac{9}{4}[/tex]

Then we add it on both sides of the equation

[tex]x^2 + 3x + \frac{9}{4} = 9 + \frac{9}{4}[/tex]

So, the value of 'h' used to solve the equation by completing the square method is [tex]\frac{9}{4}[/tex]

Learn more : brainly.com/question/10662834

A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 45 minutes​? In 1 hour​? The car will travel nothing miles in 45 minutes.
PLEASE HURRY IM TIMED!!!!! PLEASE HELP!!!

∛⊄∅Δ≡≡≡ωωω↓∵∅∩[tex]x^{2} x^{2} x^{2} \sqrt{x} \neq \neq \neq \int\limits^a_b {x} \, dx \leq \\ \geq \neq \neq \pi[/tex]????????? anyeong heplyeo meya withay equetasionasay

THIS IS DO TODAY I NEED HELP PLS

when subtracting with negative numbers, change the problem to an ____problem and ____

A notha wun ........

Solve for x: -243 = -9(10 + x)


I will reward Brainliest

The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole

Use expansion shown to simplify the expression 1/2(3x-2/3y)+3(x/2+1/2y) I’m giving brainliest

What is the value of 2y- 6 if y = 12

Solve the system of equations by substitution. Write your solution as an ordered pair
x+2y=-2
y=-2+11

What are the rate of change and the initial value of the function represented by the graph?




The rate of change is 3 and the initial value is 5.


The rate of change is 13 and the initial value is 5.


The rate of change is 5 and the initial value is 3.


The rate of change is 5 and the initial value is 13.

Because oxygen only has 2 electrons in its inner shell and it needs 6 more to make 8. It binds with 6 hydrogens to fill up its shell.

(NOT MATH ITS SCIENCE HELP PLEASE)If a builder wanted to construct a shopping mall on a barrier island, which of the following questions would be the most significant concern for him to consider?

A.
Where would be the best place to build the mall so that it is protected from the impact of storms which causes the winds and waves to constantly redistribute the sand?

B.
Before construction begins, should large amounts of sand be removed from the
island first in order to prevent erosion of the beach?

C.
Since the islands are constantly changing, what location would offer the best access to sand resources to aid in maintaining the island?

D.
If an earthquake were to occur, would the islands sink below sea level, causing a tsunami to crash on the mainland

Solve the system of equations by substitution. Write your solution as an ordered pair
x+y=81
y=8x

how many brainliest yall got in total? I have 38. fewest gets brainliest (bc they need it more)

List all the factors of the numbers: a. 40 and b. 3

Answer fast

During a field trip, 60 students are put into equal-sized groups. Use 60 ÷ 5 = 12 to answer this question. If 5 represents the number of groups, what does 12 represent?

super hard for me ill give a brainliest if its right

solve for x: 6 + 3x = x - 8

Mr adkins has 2 packages, each with 6 batteries. He uses 4 of the batteries in a flashlight . How many batteries does he have left?

Pls help I really need it

Write the phrase "9 increased by a number x" as an algebraic expression

Shannon’s rectangular countertop is 3 feet wide. It is 3 times as long as it is wide. Find the length and area of Shannon’s countertop. The length of Shannon’s countertop is ?
feet.

The area of Shannon’s countertop is ?
square feet.

Pls I need help 20 points

The cost of Mr. Patten's car insurance increased by 5% to $86.82 per month. What was the cost of his insurance before it increased?

a
$91.16
b
$82.69
c
$82.48
d
$81.82

A family of 12 went to the local Italian restaurant for dinner. Every family member ordered a drink and meal, 4 ordered an appetizer, and 8 people ordered cake for dessert. Write an Expression
Please help asap

HELP PLS
ada has a new puppy that weighs 9 pounds. It is now at about 20% of its adult weight. Here is a diagram that Jada drew about the weight of her puppy. The adult weight of the puppy will be 45 pounds. How can you see that in the diagram

This shoebox is a right rectangular prism with dimensions of 30 cm by 15 cm by 12 cm.

What is the surface area of this shoebox?

Q#1: Amanda and Lisa are playing games at the arcade. Amanda started with $15, and the machine she is playing costs $0.75 per game. Lisa started with $13, and her machine costs $0.50 per game. After how many games will the two girls have the same amount of money remaining?
Q#2:The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 a pound to ship an overnight package. For what weight is the charge the same for the two companies?

A cell phone company charges $50 for the phone plus a monthly service charge of $30. The equation y =30x + 50 gives the cost y after x months. Which is true of the relationship between x and y?

A. It is linear and proportional.
B. It is not linear.
C. It is linear and nonproportional
D. It is not linear and nonproportional