Answer:
The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
a is the coefficient of x²(h, k) are the coordinates of the vertex pointh = [tex]\frac{-b}{2a}[/tex] , where b is the coefficient of xk = y at x = hLet us use the facts above to solve the question
∵ y = x² + 24x - 15
∵ a is the coefficient of x² and b is the coefficient of x
∴ a = 1 and b = 24
∵ h is the x-coordinate of the vertex point
∵ h = [tex]\frac{-b}{2a}[/tex]
→ Substitute the values of a and b to find h
∴ h = [tex]\frac{-24}{2(1)}=\frac{-24}{2}[/tex]
∴ h = -12
→ To find k substitute y by k and x by h
∵ y = k and x = h
∴ k = (-12)² + 24(-12) - 15 = 144 - 288 - 15
∴ k = -159
∴ The coordinates of the vertex point are (-12, -159)
→ Substitute the values of a, h, and k in the vertex form above
∵ y = 1(x - -12)² + (-159)
→ Remember (-)(-) = (+) and (+)(-) = (-)
∴ y = (x + 12)² - 159
∴ The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159
Answer:
sure.
Step-by-step explanation:
Find the equation of the straight line
that passes through (5, 6) and (5, −6).
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
These points have the same x-coordinate, so are on the same vertical line:
x = 5
A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?
Answer:
Step-by-step explanation:
12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.
12*2= 24 km/h
Graham's monthly bank statement showed the following deposits and withdrawals.
- $87.45, - $24.76, $143.87 – $17.29 $348.90
If Graham's balance in the account was $456.78 at the beginning of the month,
what was the account balance at the end of the month?
Answer:
622.27
Step-by-step explanation:
- $87.45 + (- $24.76) + (-17.29) = $-129.5
$143.87 + $348.90 = $492.77
492.77 - (-129.5) = 622.27
Find the measure of each numbered angle
The measure of each numbered angles are ∠1 = 56°, ∠2 = 56° and ∠3 = 74°.
What is Angle?An angle for any figure is formed by two rays which joins at a common point called vertex or node.
Usually angles are measured in degrees or radians.
Consider triangle PMQ
The sum of the interior angles of a triangle is 180°.
∠MPQ + ∠QMP + ∠PQM = 180°
58° + 66° + ∠1 = 180°
∠1 = 180° - (58° + 66°)
∠1 = 180° - 124°
∠1 = 56°
Now, ∠1 and ∠2 are vertically opposite angles. Hence they are equal.
∠2 = 56°.
Again, for triangle NQO
∠2 + ∠3 + 50° = 180°
56° + ∠3 + 50° = 180°
∠3 = 180° - (50° + 56°)
∠3 = 180° - 106°
∠3 = 74°
Hence ∠1, ∠2 and ∠3 are 56°, 56° and 74° respectively.
To learn more on Angles, click:
https://brainly.com/question/28451077
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GR8reg_Math_T3_USA_OL_FY21 Question: 1-1
Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel then theo's family
Answer:
15
Step-by-step explanation:
Since the Theo family are going 50 per hour so that is 50=t for the Theo family in the promblem it talks about Malcolmś family being 65t how many number are they apart
50
+15
-------
65
15 is your answer
The equation of line CD is y = -2x - 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).
y = -2x + 13
y=zx+7
y=x+3
y = -2x - 3
Answer:
y = -2x + 13
Step-by-step explanation:
A cookie factory uses 1/6 of a bag of flour in each batch of cookies the factory used 1/2 of a bag of flour yesterday how many batches of cookies did the factory make
Answer:
they made 3 batchs
Step-by-step explanation:
Tom buys a CD for $12.00. He sells it for $15.00. $15.00 is what percent of his original cost?
Answer:
The answer is 125%
Step-by-step explanation:
Fraction calculator
The price for gasoline is represented by the equation y = 3.69x, where 'y' represents the total price for 'x' gallons of gasoline. On a graph, the number of gallons is represented by the horizontal axis, and the total price is represented on the vertical axis. Determine whether each statement describes the graph of the equation. Select True or False for the following statement. The graph of the lines goes through the points (7.38, 2) and (11.07, 3).
Answer:true
Step-by-step explanation:
work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)
Answer:
Y=-2x+9
Step-by-step explanation:
The first thing is to know the formula which is Y÷x
Then... The line (1,7)use the coordinates Y and X so it will be as follows... Label 1 and 7 as x, y
So it will be Y-7÷X-1 = the gradient which is - 2
So multiply both sides by X-1
So it will be Y-7=2x+2 again be careful because a negative number multiplied by another negative will give you a positive sign
Remember Y-7....... Take 7 to the other side so it will be a positive...... Then work out the integers
one number is nine more than another number, if the sum of the number is 65, find both numbers
Answer:
28 and 37
Step-by-step explanation:
Answer:
28 and 37
Step-by-step explanation:
This is very simple actually!
First subtract the 9:
65 - 9 = 56
Then divide by 2:
56 ÷ 2 = 28
28 is one of your answers. If we want to find the other one, then add back 9
28 + 9 = 37
That's it!
Hope this helped :)
An equilateral triangle with side lengths of 7 units is translated 3 units to the right. What is the length of one side of the triangle after the translation, in units? 3 units
Answer:
[tex]Sides= 7\ units[/tex]
Step-by-step explanation:
Given
[tex]Sides= 7\ units[/tex]
[tex]Translation = 3\ units[/tex] (to the right)
Required
Determine the length of one side after translation
It should be noted that when a shape, line, object is being translated by shifting its position, only the position of the shape, line or object changes not its length
This implies that, the length of the sides of the equilateral triangle remain unchanged.
Hence:
[tex]Sides= 7\ units[/tex]
please help me fast
I give you 100 point
Answer:
a. 372
b. 708
c. 451
d. 805
e. 965
f. 620
Step-by-step explanation:
Mitchell swims several times per week in a lake near his home. Last summer, the average water temperature was 20 degrees Celsius. This summer, the average water temperature was 21 degrees Celsius. What was the percent of increase in the temperature?
Answer:
5% increase
Step-by-step explanation:
last Summer was 20° , this Summer is 21° so is 1° more so the question is what is the increase 1° of 20
20° is to 100% as
1° is to ?%
cross multiply
?% *20 =1*100
divide by 20 both sides
?%= 100/20 = 5
Jasmine makes balloon animals at community events. In 240 minutes, she uses 144 balloons to make 48 animals. How many balloons are used for each animal?
Answer:
he uses 23 balloons for every 28 events.
which is Not equal to thr absolute value of -5?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
please actually look at the picture and do it correctly i need the correct answers i'll mark brainliest if you are correct
Answer:
12/14 to 18/w
Step-by-step explanation:
the w would equal 21 (incase you needed it) since the unit rate is 1.5
Answer:
w = 20
Step-by-step explanation:
David mixes 2 liters of lemon juice with 9 liters of water to make lemonade. Which ratio of liters of lemon juice to liters of water will make the same concentration of lemonade?
F: 3 : 10
G: 10 : 72
H: 14 : 63
J: 27 : 6
Answer:
J
Step-by-step explanation:
help me thanks . please
Answer:
0.1 > 10^-2
(I'm pretty sure I'm right. sorry if im wrong :(
We are two numbers
Our median is 3
Our minimum is 2, What numbers are we?
Answer:
2,4
Step-by-step explanation:
median=3
minimum is 2
first no. is 2
second no. is 4
Which translation takes y = | x + 2 | - 1 to y = | x | + 2 ?
Select one:
a. 2 units left, 3 units down
b. 2 units left, 3 units up
c. 2 units right, 3 units up
d. 2 units right, 3 units down
(Solve by graphing and determining the translation. Thanks in advance!)
Answer:
C
Step-by-step explanation:
y = | x + 2 | − 1 has a vertex at (-2, -1).
y = | x | + 2 has a vertex at (0, 2).
So the graph is translated 2 units right and 3 units up.
Alan spent $68 on fruit at the grocery store. He spent a total of $80 at the store. What percentage of the total did he spend on fruit?
a² + b -c for a = 2 b = (-9) c = 4
Answer:
-9
Step-by-step explanation:
4+(-9)-4
4+(-13)
-9
Answer:
-9
4 + -9 - 4
4 + -9 + -4
4 + -13 = -9
Asapppp, plssss help meee :(
Yesterday, grace drove 41.5
miles. she used
1.25 gallons of gasoline.
What is the unit rate for miles per gallon?
Answer:
33.2 mpg
Step-by-step explanation:
You move right seven units. You end at 2,2. Where did you start?
Answer:
(2-7,2) = (-5,2)
Step-by-step explanation:
What method would i use to solve this?
-5x+2y=9
y=7x
I need help with in the next 10 minutes I will give brainiest!!!!!
Answer:
x = 1 and y = 7
Step-by-step explanation:
First, you substitute the y into the first equation
-5x+2(7x)=9
-5x+14x=9
9x=9
x=1
Then put the x into the equation to find y
This is if you substitute using the second equation
y=7(1)
y=7
Order all of the decimals
from least to greatest 0.34, 0.4, 0.98, 0.97, 0.46,
0.309
Answer:
.309
.34
.4
.46
.97
.98
Step-by-step explanation:
Hope this helped. Do not be shy to give Brainlist.
Answer:
0.4, 0.309, 0.34, 0.46, 0.97, 0.98
Step-by-step explanation:
help me please i have 2 more after this
Answer:
poop
Step-by-step explanation:
asdasdasd
Answer:
114
Step-by-step explanation:
corresponding angles
congruent