Answer:
x=4
Step-by-step explanation:
I'm going to assume the question has a typo and that the question is actually [tex]3x^2 -10x-8=0[/tex].
You can simplify this to:
[tex](3x+2)(x-4)=0[/tex]
This leaves the solutions [tex]x=-\frac{2}{3}[/tex] and x=4
The only positive solution therefore is x=4
Answer:
The answer is 4
Step-by-step explanation:
Use the improved quadratic formula (https://socratic.org/algebra/quadratic-equations-and-functions/quadratic-formula)
D=d^2=b^2-4ac=100+96=196⇒d±14
There are 2 real roots: x=-b/2a±d/2a=10/6±14/6=5/3±7/3
The positive real root is : 12/3=4
Which of the following could be the center of a circle that includes the points (-5, 2) and (-3, 6)?
A. (0, 2)
B. (0, -2)
C. (2, 2)
D. (2, 1)
The center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)
How to determine the center of the circle?The points are given as:
(-5, 2) and (-3, 6)
The equation of a circle is represented as:
[tex](x -a)^2 + (y - b)^2 = r^2[/tex]
Where:
Points = (x,y)Center = (a,b)Radius = rSubstitute both points in the above equation
[tex](-5 + a)^2 + (2 - b)^2 = r^2[/tex]
[tex](- 3+ a)^2 + (6 - b)^2 = r^2[/tex]
The radii are equal.
So, we have:
[tex](-5 + a)^2 + (2 - b)^2 = (- 3+ a)^2 + (6 - b)^2[/tex]
Expand the equations
[tex]25 -10a + a^2 + 4 - 4b + b^2 = 9 - 6a + a^2 + 36 - 12b + b^2[/tex]
Evaluate the like terms
[tex]25 -10a + 4 - 4b = 9 - 6a + 36 - 12b[/tex]
Collect like terms
6a -10a - 4b + 12b = 9 + 36 - 25 - 4
Evaluate
-4a + 8b = 16
Divide through by - 4
a - 2b = -4
Next, we test the options:
Option (a) (a,b) = (0,2)
Substitute these values in the equation
0 - 2*2 = -4
Evaluate
-4 = -4
Both sides of the equation are the same
Hence, the center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)
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NEED TO KNOW HOW TO GET ASNWER
The prep cook needs to make 115 sandwiches. Each sandwich contains 3 ounces of chicken salad. The chicken salad comes in a 32-ounce container. How many containers need to be purchased?
Answer:
you would need 11 containers but you would have some left over.
Step-by-step explanation:
What is the slope of the line that passes through the points(−8,2) and (-11, 3)? Write your answer in simplest form.
Answer: -1/3
Step-by-step explanation:
The formula is y2 - y1/ x2 - x1 . So the answer would be -1/3 bc 3 - 2 = 1 and -11 - (-8) = -3.
Find the area of the figure below by first finding the areas of the rectangle and triangles.
Area of the rectangle:
Area of the triangle on the left:
Area of the triangle on the right:
Area of the figure:
a. The area of the rectangle: 16 units²
b. The area of the triangle on the left: 6 units²
c. Area of the triangle on the right: 10 units²
d. Area of the figure: 32 units²
What is the Area of a Rectangle and a Triangle?Area of a rectangle = (l)(w)Area of a triangle = 1/2bha. l = 4 units
w = 4 units
Area of the rectangle = (4)(4) = 16 units²
b. b = 3 units
h = 4 units
Area of the triangle on the left = 1/2(3)(4) = 6 units²
c. b = 5 units
h = 4 units
Area of the triangle on the right = 1/2(5)(4) = 10 units²
d. Area of the figure = 16 + 6 + 10 = 32 units²
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Answer:
a: 16
b: 6
c:10
d: 32
Step-by-step explanation:
explained already <3
If x-1/-3=y-2/2k=z-3/2 and x-1/3k=y-5/4=z-6/-5 are perpendicular, find the value of k
please help please please help
Answer:
3:2
Step-by-step explanation:
5 points
11 cm
I literally dont know what to do
can someone help me? no fake answers my other questions are also worth 50 points each btw
Step-by-step explanation:
Let's simplify step-by-step.
(6)(6)x−60x+900
=36x+−60x+900
Combine Like Terms:
=36x+−60x+900
=(36x+−60x)+(900)
=−24x+900
Answer:
=−24x+900
what is the area of a circle with 5cm radius
Answer:
Step-by-step explanation:
The formula to calculate the area of a circle is
[tex]A =\pi r^2[/tex]
This means that if [tex]r = 5 "cm"[/tex], the area is
[tex]A = 5^2\pi " cm"^2 = 25 \pi " cm"^2 =(estimation) 78.539816 " cm"^2[/tex]
Answer:
See below
Step-by-step explanation:
We are given that a circle has a radius of 5 cm
We want to find the area of this circle
The area of a circle is given as [tex]\pi r^{2}[/tex], where r is the radius
As stated above, the radius of this circle is 5; ergo, r =5
We can substitute 5 as r in the formula
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi (5)^{2}[/tex]
Raise 5 to the 2nd power
A = π * 25
A = 25π cm²
If you need your answer in terms of pi (or as an exact answer), the answer would be 25π cm² (don't forget your units!)
However, if your system wants pi approximated, see below:
If your system wants pi to be used as 3.14, then multiply 25 by 3.14; 25 * 3.14 = 78.5 cm²
If your system wants pi to be used as 22/7, then multiply 25 by 22/7; 25 * 22/7 ≈ 78.57 cm²
Find the area.
14 in
6.8 in
Answer:
95.2Step-by-step explanation:
It nearly confused me, but I got the entire thing in my brain.
Given equation:
14 * 6.8Solve:
Transfer:6.8 ⇒ 68Solve:14 * 68= 952Transfer a decimal point to the right 1 space:952 → 95.2.Answer is 95.2.
Paula is wallpapering a wall in her house. The wall is 14 ft x 8 ft with a
doorway that is 3 ft x 6 ft and a window that is 4 ft x 4 ft. How much
area does Paula need to wallpaper?
Answer:
78 ft^2
Step-by-step explanation:
14x8 - (3x6) + (4×4)
112 - (18+16)
= 78ft^2
help me pleaseeeeeeeeeeeeeeeeeeeeeee
a. To solve for the greatest common factor (GCF), we can determine the prime factors of 6, which is 2 and 3. Then for the other number, we can do the exact same thing. The prime factors of 8 are 1, 2, and 4. When matching the all the prime factors together, we notice that 2 is in both the prime factors.
This means that the GCF of 6 and 8 is 2.
b. To factor the GCF of 6 and 8, we can use the prime factors of both 6 and 8. That means:
6 + 8 = 2 × (3 + 4).
14 = 14
Using the Data Set {125, 6, 133, 129, 125}, find the standard deviation:
Each of the 7 cats Ik a pet store was weighed here are their eights in pounds
7,16,10,16,9,13,14 help me find the mean and median
Answer:
Below in bold.
Step-by-step explanation:
7,16,10,16,9,13,14
Arrange in ascending order:
7 9 10 13 14 16 16
The median = middle value
= 13 pounds.
Mean = (7+9+10+13+14+16+16)/7
= 12.14 pounds.
A line intersects the points (3,11) and (-9, -13). What is the slope of the line In simplest form?
Answer:
m = 2
Step-by-step explanation:
Write the slope formula
Substitute: m = - 13 - 11/ - 9 - 3
Calculate the sum or difference: m = -24 / - 9 - 3
Calculate the sum or difference: m = -24 /-12
Reduce the fraction: m = 2
Answer: m = 2
Answer: m = 2
Step-by-step explanation:
Slope formula = [tex]\frac{y2-y1}{x2-x1}[/tex]
plug in values
[tex]\frac{-13-11}{-9-3}[/tex]
simplify
[tex]\frac{-24}{-12}[/tex]=2
⇒M = 2
17 Which numbers make the comparison true? 27,768 Select the two correct answers. A 27,759 8 28.744 26,773 27,568 E 27,836
Answer:
B and D
Step-by-step explanation:
hope it helps in some way possible
A business serves 24 customers with 64 staff to maintain a strong ratio of staff to guests. How many staff members would be
needed if 229 customers are expected? Calculate to the nearest whole number.
Do not put units, only put the number value for your answer.
Answer:
611
Step-by-step explanation:
[tex]\frac{24 customers}{64 staff} = \frac{229 customers}{? staff}[/tex]
Solve for ? by cross multiplying and isolating ?staff.
You will get (64 x 229) / 24
Your answer will be ~ 611.
on a piece of paper, graph:
Answer:
every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false
solve by completing the square
Step-by-step explanation:
answer is in the picture above
House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated. Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit. If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in the simplest form? A. 1/9 B. 5/72 C. 5/8 D. 2/3
The value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers, option (B) is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of outcomes = 9×8 = 72
(because the total number of digits excluding 0)
Event A: choosing 8 as the first digit
Event B: choosing a number less than 6 as the second digit
Total favourable outcomes = 1×5 = 5
Because there are total 5 digits that are less than 6 {1, 2, 3, 4, 5}
Probability = 5/72
Thus, the value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers option (B) is correct.
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Answer:
The answer is B I'm pretty sure.
Step-by-step explanation:
Time4Learning 2022 quiz
Rewrite this question to make it a statistical question:
How old am I?
Answer:
“How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages.
help me pleaseeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
Volume
V = w h l
V = 2*15*13
V = 390 ft^3
-------------------------
Surface area
SA = b*h
SA = 15*13
SA = 195
-------------------------
b) Surface area
C) Volume
If the diameter of the circle is 14 units, calculate its area: then calculate its circumference
Answer:
Area: 153.86
Circumference: 43.96
Please help me. I need to find the limit. I WILL give you BRAINLIEST!
Answer:
-1
Step-by-step explanation:
The answer of this question is -1
Which of the following figures has a circumference that is closest to 121 inches?
A
a circle with a diameter of 38.5 inches
B
a circle with a diameter of 19.3 inches
C
a circle with a radius of 38.5 inches
D
a circle with a radius of 6.2 inches
Answer:
A.
Step-by-step explanation:
C = 2πr = πd
A. C = π(38.5 in.) = 120.95 in.
First guess: Answer: A.
calculate the value of:
1+3+5+....+43
which inequality is represented by this graph?
Answer:
the answer is A for the shaded region
URGENT PLEASE HELP!!
Write the equation of the given line in slope-intercept form:
Answer:
y = -3x - 1
Step-by-step explanation:
The slope intercepts the y-axis at -1, and moves down 3 on the y for every one space right on the x-axis
The prime factorisation of √169 is?
Answer:
Square root of 169 by Prime factorization is 13×13
Answer:
13*13
Hope this helped!
> Next question
Find the last term to make the trinomial into perfect square
x2 – 2x
Answer:
+ 1.
Step-by-step explanation:
That would be (-2/2)^2
= + 1.
x2 - 2x + 1 = (x - 1)(x - 1)
[tex]\text{If a quadratic expression is a perfect square, then}\\\\~~~~~~~\text{Discriminant = 0}\\\\\implies b^2 -4ac = 0\\\\\implies (-2)^2 -4 c = 0\\\\\implies 4-4c = 0\\\\\implies 4c = 4\\\\\implies c = 1 \\\\\text{Hence, the last term should be 1.}\\\\x^2 -2x +1 = (x-1)^2[/tex]