Answer:
roots: 2 ± (1/2)√42
-8
axis of symmetry: x = -b/(2a) is x = ---------------- = 2
2(-2)
vertex: (2, f(2) ) = (2, -2(2)^2 + 8(2) + 13 ), or (2, 21)
Step-by-step explanation:
First, let's determine the roots of this quadratic, using the quadratic formula. Here the coefficients are -2, 8, 13.
Thus, the discriminant b^2 - 4ac is 8^2 - 4(-2)(13), or 64 + 104, or 168. Because the discriminant is positive, we know that there are two different real roots.
They are:
-8 ± √168 -8 ± 2√42
x = --------------------- or x = --------------------- = 2 ± (1/2)√42
-4 -4
BIG POINTS!!!!!! PLEASE HELP ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!! Will mark BRAINLIEST!!!!!!!!!!!!
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
A) Use the distance formula to find the length of each side, and then add the lengths.
B) Use the slope formula to find the slope of each side, and then determine if the opposite sides are parallel.
C) Use the slope formula to find the slope of each side, and then determine if the consecutive sides are perpendicular.
D) Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
Answer: A
Step-by-step explanation:
We have to find the perimeter of the figure.
For doing so, we have to find the length of all the sides of a quadrilateral
The length of a line segment joining points (x1,y1) and (x2,y2) is given by the distance formula:
after finding length of all the sides, we add the length of each side to get the perimeter.
Use the distance formula to find the length of each side, and then add the lengths.
A box is to be wrapped in a shiny pink decorative paper. The box is 99 inches long, 55 inches wide, and 44 inches high. What is the minimum amount of decorative paper needed to cover the box?
Answer:
24442 square inches of decorative paper
Step-by-step explanation:
To solve for the above question, we have to find the Surface Area of the box. The box is shaped as a Rectangular Prism.
Hence, the formula is given as:
A = 2(wl + hl+ hw)
Where:
Length (l) = 99 inches
Width (w) = 55 inches
Height (h) = 44 inches
=2 × (55×99 + 44×99 + 44×55)
=24442 square inches
Therefore, the minimum amount of decorative paper needed to cover the box is 24442 square inches of decorative paper.
question is in pic !!!!
Answer:
B
Step-by-step explanation:
(The picture on the bottom left)
Which of these figures has rotational symmetry?
What is 4/3 ft x 15 inches
I need the anwser in inches
Answer:
3/45
Step-by-step explanation:
Please help
Please help find Y
Answer:
2
Step-by-step explanation:
The given angle is 45 degrees so the triangle has the same legs.
we can find the hypotenuse by using the Pythagorean theorem
y= √2(√2)^2 = √4 = 2
HELPPPPPPPPPPPP PLZZZZZZZZZZZZ
NO LINKS PLEASE AND THANK YOU .
does anyone know how to do this
Answer:
hello
bring the side of the first part of the triangle then you can to bring the (x) of the second traingle
Marking BRAINLYEST need help ASAP
In the diagram, the measures of 3 and 6 are 50°. The measure of 5 is
130°. Are lines cand d parallel?
1/2
3 4
d
5
6
7
8
O A. Yes, because 5 and 6 are supplementary
B. No, because 6 and 5 are not congruent.
O C. Yes, because 3 and 6 are congruent.
D. No, because 3 and 5 are not supplementary
Answer:
c
Step-by-step explanation:
The solution is, (c) Yes, because angle 3 and angle 6 are congruent.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
given that,
Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.
we have,
We expect angles 5 and 6 to be supplementary because they are a linear pair.
That fact says nothing about the relationship of line d to line c.
Hence, The solution is, (c) Yes, because angle 3 and angle 6 are congruent.
To learn more on angle click:
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The family car leaves the house 112 hours after the moving van and follows the same route. The moving van travels at an average speed of 45 miles per hour. The family car travels at an average speed of 60 miles per hour. After how many hours of driving will the family car catch up to the moving van?
Answer: 336 hr
Step-by-step explanation:
Given
The speed of the van is 45 mph
The speed of the family car is 60 mph
distance traveled by van in 112 hours is
[tex]d_1=45\times 112=5040\ miles[/tex]
After 112 hours family car started its Journey. Suppose, van travels another x miles after the family car started its Journey
So, distance traveled by the family car in 't' hours
[tex]\Rightarrow 60\times t=112\times 45+45\times t\\\\\Rightarrow 15 t=5040\\\\\Rightarrow t=\dfrac{5040}{15}=336\ hr[/tex]
So, after traveling 336 hr, the family car will catch the van
Please help with 17, 19, and 21 using trigonometry. Thanks!
There are 42 more red marbles in a jar than there are white marbles. If there are 238 marbles in the jar, how many of them are red and how many are white?
Answer: red marbles = 140
White marbles = 98
Step-by-step explanation:
Let the number of white marbles be represented by x
Since there are 42 more red marbles in a jar than there are white marbles, red marbles will be: = x + 42
Since there are 238 marbles in the jar, this can be represented in an equation as:
x + x+42 = 238
2x + 42 = 238
2x = 238 - 42
2x = 196
x = 196/2
x = 98
White marbles = 98
Red marbles = x + 42
= 98 + 42
= 140
please help asap i will mark brainliest i need this now
just look at it and think hard. you got this you don't need to use brainly
Austin graphed a system of linear equations as shown. What x -value represents the solution to the given system of linear equations?
Answer:
the answer is -2,4
Step-by-step explanation:
I had this question before and thats where the lines intersect
(9x + 4) - (-5x2 - 5x + 7)
Answer:
44 I think
Step-by-step explanation:
i don't know I'm not too sure
HURRY ITS EASY 10PT
Terrell ordered a set of yellow and brown pins. He received 52 yellow pins and 28 brown pins. What percentage of the pins were yellow?
Answer:
65%
Step-by-step explanation:
52 + 28 = 80 total pins
52/80 = .65
Answer:
65% of the pins were yellow
Step-by-step explanation:
52 +28= 80 total flowers
80= 100%
52= x%
80x = 5200
x = 65%
What is the slope of the line containing (-2,5) and (4,-4)?
Answer:a
Step-by-step explanation:
b. -3/2
Step-by-step explanation:
This is the correct answer
Find the value of (8^0+7^-1)x3^2
Answer: look at the picture
Step-by-step explanation: Hope this help :D
72x/7
Hope this Helped :T
log4(x-3) + log4(x+3) =2
Answer:
x=5
Step-by-step explanation:
the answer is choice c
Find the equation of a line that is perpendicular to 4x+6y=1 that has a greater y intercept compared to 2x+3y=18
Answer:
4y = 6x + 40
Step-by-step explanation:
The general equation of a straight line is y = mx + b
m is the slope and b is the y-intercept
let us write both equations in this form;
we have this as;
6y = -4x + 1
y = -4x/6 + 1/6
and;
2x + 3y = 18
3y = -2x + 18
y = -2x/3 + 6
So firstly we want to find an equation that is perpendicular to the first
When two lines are perpendicular, their slopes has a product of -1
The slope of the first line is -4/6
let the slope of the line we want be m
As per they are perpendicular;
-4/6 * m = -1
-4m/6 = -1
-4m = -6
m = 6/4
So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6
we can choose 10
and we have the equation as:
y = 6x/4 + 10
multiply through by 4
4y = 6x + 40
Which expression is a factor of 9r^2-4r+1
Answer:
There are no real factors for this.
Step-by-step explanation:
We could answer this either by checking each listed expression to see whether it is a factor of 9r^2-4r+1, or
We could take the coefficients of 9r^2-4r+1, determine the quantity b²-4ac (called the 'discriminant') and draw a conclusion based upon whether the discriminant is -, + or 0.
Let's use the 2nd approach.
Here, a = 9, b = -4 and c = 1.
Then the discriminant is b²2 - 4ac, or (-4)² - 4(9)(1), or 16 - 36.
Since 16 - 36 is negative, we conclude that this 9r^2 - 4r + 1 has NO REAL FACTORS.
Which has a higher cost of credit, a $12,000.00 loan for 3 years at 28.8% interest or a $24,000.00 loan for 3 years at 14.4% interest?
The cost of credit is the amount that a person pays over and above the amount borrowed.
P is the principal, r is the interest rate,
m is the number of monthly payments,
M is the monthly payment
A.
There is not enough information to calculate the cost of credit.
B.
A $24,000.00 loan for 3 years at 14.4% interest has a higher cost of credit.
C.
A $12,000.00 loan for 3 years at 28.8% interest has a higher cost of credit.
Answer:
B
Step-by-step explanation:
The polygons are similar. Find the value of x
Help! I’m stuck please and ty
Answer:
-7
Step-by-step explanation:
They both are perpendicular lines. Which means that their slopes are opposite reciprocals.
Answer:
I believe that would be -1/7
Step-by-step explanation:
It's essentially going in reverse, you go -1 spot on the graph and up 7.
Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. How many hours will she need to babysit to buy the dress
Answer:
Down below. was solved using an equation.
Step-by-step explanation:
[tex]y=40+9x\\y=112\\112=40+9x\\112-40=40+9x-40\\72=9x\\72/9=9x/9\\8=x[/tex]
She would need 8 hours of babysiting
Iplease need help will mark brainliest
Answer:
6. xint=-7
yint=-3
7. xint=-7
yint=-5
Step-by-step explanation:
Answer:
6. (-7,-3)
7. (-7,-6)
Them are the coordinates
Find the Volume
If its correct i give 5 stars a like and brainliest
Answer:
171 in³
Step-by-step explanation:
what is the measure of
Answer:
b)34°
Step-by-step explanation:
3x+50°+2x-30°=180°
5x+20=180° collect like term
5x=180°-20
5x/5=160°/5
×=32°
find M
M=(2x-30°) by Vertical opposite angle
2×32°-30
64°-30°=34°
*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO LINKS OR I WILL REPORT YOU!*
Calculate the IQR given the box plot below:
Reading Box Plots
A. 75
B. 25
C. 10
D. 50
Answer:
25
Step-by-step explanation:
I just did the same thing!!! LOL :) I hoped that helped
Answer:
c
Step-by-step explanation:
To find the iqr, you need to subtract 50 - 40. 50 - 40 = 10
The height of a seat on a Ferris wheel can be modeled as
H (t) = 48 sin (pi/20t + 3pi/2) + 54, where tis time in seconds and H(t) is
height in feet
How far off the ground is a seat when it is at the top of the Ferris wheel?
A. 108 feet
B. 102 feet
C. 96 feet
D. 54 feet
Answer: 102 ft
Step-by-step explanation:
Answer:102 feet
Step-by-step explanation: