Answer:
i don't understand the question
What are the roots of this equation x^2-4x+9=0?
Answer:
Roots is a fancy word for zero, which is also another fancy word for the x intercept.
You can factor a quad or use the quadratic equation to get zeros.
In this case, its non-factorable. So you gotta use the quadratic.
Using the quadratic equation you get : x = -2 ± √-1 (√5),
which can be rewritten as x = -2 ± i(√5)
Function was : x^2 + 4x + 9
For quad, I identified the following:
A = 1
B = 4
C = 9
I also added a picture of the formula in the attached.
The perimeter of a rectangular piece of plastic is 30 millimeters. The area is 54 square millimeters. What are the dimensions of the piece of plastic?
Answer:
6 mm and 9 mm are the dimensions of the piece of plastic.
Step-by-step explanation:
Keep in mind the formulas for the area and perimeter of a rectangle:
A = lw
P = 2 (l + w)
List the factors of 54:
1, 2, 3, 6, 9, 18, 27, 54
POSSIBLE DIMENSIONS of the piece of plastic:
1 mm and 54 mm:
Area - 54 mm^2
Perimeter - 110 mm
2 mm and 27 mm
Area - 54 mm^2
Perimeter - 58 mm
3 mm and 18 mm
Area - 54 mm^2
Perimeter - 42 mm
6 mm and 9 mm
Area - 54 mm^2
Perimeter - 30 mm
The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.
Hope this helps!
pls help answer, explain it too. I will give brainliest
Pages read by Arnold in 7 minutes = 3 pages
Pages read by Arnold in 1 minutes
= 3/7 pages
= 6/14 pages
Pages read by Brenda in 14 minutes = 8 pages
Pages read by Brenda in 1 minutes = 8/14 pages
(6/14) < (8/14)
So, speed of Arnold < speed of Brenda.
So, Brenda reads faster.
Help solve for the area
Answer:
B
Step-by-step explanation:
half × base × height
height × length
Answer: B
Step-by-step explanation:
Triangle)
25 - 7 = 18
[tex]A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2[/tex]
Rectangle)
[tex]A=b(h)\\A=7(17) = 119cm^2[/tex]
Total)
[tex]153+119=272 cm^2[/tex]
I need 26/50 simplified so I can answer an assignment
URGENT ! HELP ME I WILL MARK YOU BRAINLIEST !!!!
pleasee fasterrr !!!!
Answer:
3b (3a - 4b)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
9ab - 12b² ← factor out 3b from each term
= 3b(3a - 4b) → C
Can you help please please helps
Answer:
2nd option
Step-by-step explanation:
Given
- np - 6 ≤ 3(c - 5) ← distribute
- np - 6 ≤ 3c - 15 ( add 6 to both sides )
- np ≤ 3c - 9
Divide both sides by - p , reversing the symbol as a result of dividing by a negative quantity.
n ≥ [tex]\frac{3c-9}{-p}[/tex]
Does the point (-9,-4) satisfy the equation y = x + 5?
Answer:
Yes it satisfies the equation
Step-by-step explanation:
Let, P(x,y) = (-9,-4)
Then, x = -9
y = -4
if we use this value in the equation, we will get L.S = R.S ;(-4 = -9 + 5)
So, the point satisfies the equation
Hope you have understood this
Pls mark my answer as the brainliest
if i traveled 35 miles on his bike in 3.5 hours what is his rate of speed? i rlly need help- m not sure how to do the steps or whatever
Answer:
hes going 10 miles an hour,
Step-by-step explanation:
if it took you 3.5 hrs and you went 35 miles, you can do 35/3.5=10, which is 10 miles an hour
Answer:
10 miles per hour
Step-by-step explanation:
We know that distance = rate * time
35 miles = rate * 3.5 hours
Divide each side by 3.5 hours
35 miles / 3.5 hours = rate
10 miles per hour = rate
A, B and C are points on a circle.
EF is a tangent to the circle at C.
D is a point on AC.
Angle CBD:Angle ABD = 3:1.
Find angle ADB.
Give a geometrical reason for each step of your working.
Answer:
44/3 degrees
Step-by-step explanation:
Angle CBD = 180 - (64 + 72) = 44
Angle ADB = 44/3 (Since of the ratio)
A father is 51 years old and his son is 19. How many years ago was the father 5 times his son's age?
Answer:
x=11
Step-by-step explanation:
51-x-5*19= -5x
51-5*19= -4x
4x=5*19-51
4x=95-51
4x=44
x=11
Step-by-step explanation:
let x year ago son age was 5 time his father age.
age of son before x year = 19-x
age of father before x year = 51-x
NOW
according to the question
5(19-x) =51-x
95-5x =51-x
95-51 = -X-5x
44 = 4x
x=11
so your ans is 11years ago
Find the circumference and the area of a circle with diameter equal to 8.6 inches. Use 3.14 for pi
Please answer it will mean a lot thanks
Answer: Circumference of circle = 27.004 inches
Area of circle = 58.0586 inches²
Step-by-step explanation:
Diameter of circle = 8.6 inches
Pi ([tex]\pi[/tex]) = 3.14
Circumference of circle (With diameter) = [tex]\pi \\[/tex]d ([tex]\pi[/tex]×diameter)
= 3.14 × 8.6
= 27.004 inches
Area of circle (With diameter) = [tex]\pi[/tex][tex]d^{2}[/tex]/4
= 3.14 × 8.6 × 8.6 / 4
= 3.14 × 73.96 / 4
= 58.0586 inches²
Lines s and t are parallel and r is a transversal.
Which angles are congruent to 4?
a) 2, 5, 8
b) 3, 5, 7
c) 2, 6, 8
d) 3, 7, 2
Answer:
The angles that are congruent to 4 are: 3, 8, and 7.
3 and 4 are vertical angles, 8 and 3 are opposite interior angles, 8 and 7 are vertical angles.
Hope this helps!
Which of the following choices is a linear function?
O f(x) = x2 – 3x+ 2
O f(x) = 3x3 – 3x + 2
O f(x) = -3x + 2
Answer:
f (x) = x2 - 3x + 2
Step-by-step explanation:
Answer:
f(x)=-3x+2
Step-by-step explanation:
The first one is a quadtratic function because it is in quadtratic form.
The second one is also not linear because it looks like a squiggly line. Sorry I forgot what they are called but I know it is not linear.
That leaves the last one is is linear and should be going down because there is a negative in front of the coefficient. It also has so exponent to prove why it is linear even further.
Hope this helps!
[tex]x - \frac{3\\}{8} = \frac{13}{2}[/tex]
X - 3/8 = 13/2
Add 3/8 to both sides:
X = 13/2 + 3/8
Rewrite 13/2 to have 8 as the denominator:
13/2 x 4 = 52/8
X = 52/8 + 3/8
X = 55/8
Answer:
55/8
Step-by-step explanation:
Add 3/8 to both sides
X - 3/8 = 13/2
X = 13/2 + 3/8
make sure the denominators are equal so we can add. so multiply 4/4 by 13/2 and that equals 52/8
X = 52/8+3/8
X= 55/8
Rewrite in simplest rational exponent form √x · 4√x. Show each step of your process. The problem is down below in the image in case my written version of it doesn't depict it correctly.
Step-by-step explanation:
x will be raised to the power of 1 if there's no power associatiated to it. Thus, you will have to flip the numbers to turn it into exponential form
joe measures the side of a square correct to 1 decimal place. he calculates the upper bound for the area of the square as 37.8225cm².
work out joe's measurement for the side of the square
The side of the square is 6.2 cm
A square is a quadrilateral with four equal sides.
Characteristics of a square includes:
• The diagonals bisect each other at 90°.
• Opposite sides parallel and of equal length
• The four angles of a square are equal.
Area of a square = length of a side²
37.8225cm² = length of a side²
To determine the length of a side, find the square root of 37.8225cm²
√ 37.8225cm² = 6.15cm
To round off to one decimal place, look at the second number after the decimal (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
The hundredth number is 5, so one would be added to one. the number then becomes 6.2cm
Learn more on how to determine the side length of a square here : https://brainly.com/question/10646504?referrer=searchResults
Write the equation of the line that is parallel to the line y=-1/4x - 3 through the point (4,4).
Answer:
D
Step-by-step explanation:
The slope of the line is - 1/4. The equation of the line is y=(-1/4x)+5
77 yd
36 yd
What is the length of the hypotenuse?
C =
yards
Answer:
c = 85 yd
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
c² = 77² + 36² = 5929 + 1296 = 7225 ( take square root of both sides )
c = [tex]\sqrt{7225}[/tex] = 85
Answer:
[tex]85yd[/tex]
Step-by-step explanation:
According to PYTHAGORAS Theorem,
[tex] {c}^{2} = {77}^{2} + {36}^{2} \\ {c}^{2} = 5929 + 1296 \\ {c}^{2} = 7225 \\ c = \sqrt{7225} \\ c= 85yd[/tex]
l= 6 ft, w = 2 ft, h= 5 ft what is the surface area of the rectangular prism
104 ft^2
Explanation:
The surface areaa of a rectangular prism is given by the formula:
2 (lw + hl + hw)
l = length
w = width
h = height
Substitute the formula with the givsn dimensions:
2 ([6 x 2] + [5 x 6] + [5 x 2])
= 2 (12 + 30 + 10)
2 (52)
= 104
So the SA is 104 square feet or ft^2
Hope this helps!
The van traveled 120 miles in 7 hours. How long would it take to travel 1400 miles at the same speed? (A) 5/3 hrs (B) 81 2/3 hrs (C) 49/6 hrs (D)24000 hr
Answer:
[tex]81\frac{2}{3}[/tex] hours
Step-by-step explanation:
Hi there!
1) Create a proportion
The van traveled 120 miles in 7 hoursThe van travels 1400 miles in x hours[tex]\frac{7h}{120mi}=\frac{x}{1400 mi}[/tex]
[tex]\frac{7}{120}=\frac{x}{1400}[/tex]
2) Solve for x
[tex]\frac{7}{120}=\frac{x}{1400}[/tex]
Multiply both sides by 1400
[tex]\frac{7}{120}*1400=\frac{x}{1400}*1400[/tex]
[tex]\frac{245}{3} =x[/tex]
[tex]\frac{245}{3} =x[/tex]
[tex]81\frac{2}{3} =x[/tex]
Therefore, it would take the van [tex]81\frac{2}{3}[/tex] hours to travel 1400 miles at the same speed.
I hope this helps!
rationalise 3 square root 2 divided by square root 3
Answer:
root3
Step-by-step explanation:
multiply the numerator and denominator by the root of 3
3root2×root3/root3×root3
3root6/3
note root3×root3=3
the 3 up will divide the 3 down
and that lives u with the answer root2
sorry currently won't have a way of writing the roots thats y am using words
A staircase is being constructed in a new house as displayed on the right. Each tread is 18 cm and each riser is 10cm. Determine the angle of inclination of the stairs.
Answer:
29.1°
Step-by-step explanation:
Given that :
Riser, AB, Opposite = 10 cm
Thread, = AC, Adjacent = 18 cm
Angle of inclination, θ
Using trigonometry :
Tan θ = opposite / Adjacent = AB / AC
Tan θ = 10 / 18
θ = tan^-1(10/18)
θ = 29.055
Hence, angle of inclination is 29.1° (1 decimal place)
Question 3 of 10
Which of the following is(are) the solution(s) to |15x+2| = 8?
Answer:
x = 6/5 x = -2
Step-by-step explanation:
|5x+2| = 8
There are 2 solutions
5x+2 = 8 and 5x+2 = -8
Subtract 2 from each side
5x+2 -2 = 8-2 and 5x+2-2 = -8-2
5x= 6 5x = -10
Divide by 5
5x/5 = 6/5 5x/5 = -10/5
x = 6/5 x = -2
Answer:
b
Step-by-step explanation:
|5x+2|=8
1) |5×(-2)+2|=8
|-10+2|=8
|-8|=8
8=8
2) |5×6/5+2|=8
|6+2|=8
|8|=8
8=8
slove for inequality of -6> t-(-13)
Step-by-step explanation:
-6>t-(-13)
= -6>t+13
= -6-13>t
= -19>t
= t<-19
Answer:
t < - 19
Step-by-step explanation:
Given
- 6 > t - (- 13) , that is
- 6 > t + 13 ( subtract 13 from both sides )
- 19 > t , then
t < - 19
find the missing side lengths
Answer:
[tex]x = \frac{2 \sqrt{3} }{3} [/tex]
[tex]y = 1[/tex]
Step-by-step explanation:
30, 60, 90 triangle
Each cat at the animal shelter gets
5/6 pound of food. Allie has 9 1/2
pounds of cat food. How many cats
can Allie feed?
A: 7
B:9
C: 11
D:13
Answer: C : 11
Step-by-step explanation:
I have two identical dice with the numbers
-1, 2, -3, 4, -5 and 6
I roll my dice and work out my total.
Which of the following totals cannot be achieved?
a) 3
b) 7
c) 8
Answer:
7 cannot be achieved
-1 + 6 = 5
-3 + 4 = 1
-5 + 2 = -3
as you can see, no combinations can form seven
Thomas went for a long hike and burned 675 calories in 2 hours. Marvin decided to go for a bike ride and burned 1,035 calories in 3 hours. Who burned the most calories per hour? Let t represent Thomas's calories burned and m represent Marvin's calories burned. Equivalent Ratio 1: Equivalent Ratio 2: burned the most calories per hour.
Step-by-step explanation:
I am not sure I fully understand what your teacher wants from you, but I would say we only need to define the burning rate per hour for both people, and with that normed rate (number / hour) we can answer the main question directly.
Thomas burned 675 cal/ 2 hours.
by dividing to and bottom by 2 (it is important to do the same action on the top and the bottom to keep the value of the ratio unchanged) we get
337.5 cal / hour
and Marvin burned 1035 cal / 3 hours.
so, the same trick, this time dividing to and bottom by 3 to norm the whole ratio to a 1 hour baseline :
345 cal / hour
so, Marvin burned more calories per hour.
18 cards are numbered from 11 to 29 if one card is chosen at random, what is the probability that if contains the digit
