Answer:
x=6, x= -5
Step-by-step explanation:
Factor the equation
x^2 - x - 30 = 0 ----> (x-6)(x+5)=0
Next find the solution by setting those in the paranthesis equal to zero.
x-6=0 ----> x= 6
x+5=0 ----> x= -5
Step-by-step explanation:
[tex] {x}^{2} - x - 30 = 0[/tex]
➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]
➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]
➡️ [tex](x + 5) \times (x - 6) = 0[/tex]
➡️ [tex]x + 5 = 0[/tex]
➡️ [tex]x - 6 = 0[/tex]
➡️ [tex]x = - 5[/tex]
➡️ [tex]x = 6[/tex]
➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]
A town planner lays out the design for a park on a coordinate grid. The point (1, 1) represents a point 1 foot north and 1 foot east of the center of the park at (0, 0). On the design, a triangular path within the park has vertices at (-350, 200), (300, -400), and (160, 500). What is the length of the triangular path, rounded to the nearest tenth of a foot?
9514 1404 393
Answer:
2387.1 ft
Step-by-step explanation:
I find a spreadsheet to be a convenient tool for repeated calculations using the same formula. Here, the distance between two points is given by ...
d = √((x2 -x1)² +(y2 -y1)²)
For example, the distance between the first two points is ...
d = √((300 -(-350))² +(-400 -200)²) = √(422500 +360000) ≈ 884.59
Other distances are calculated the same way. The results are shown in the attached spreadsheet, which also adds them up.
The path length is 2387.1 feet.
I will give brainliest !!
Answer:
a
Step-by-step explanation:
3c = 2(c - 1)
How to write that as a verbal sentence
Answer:
3 times a value is equal to twice as much as it's predecessor.
You have 24 quarts of brown stock you need .75 cups to make one serving of braised short ribs. How many can you make?
Answer:128
Step-by-step explanation:
1 quart= 4 cups
You have 24 quarts
24x4=96
96/0.75=128
The sets J and L are given below.
J={-1, 1, 3, 5, 7, 8)
L={-1, 2, 3, 5, 8)
Find the union of J and L.
Find the intersection of J and L. Write your answer using set notation ( in roster form)
Answer:
(J ∪ L) = { -1, 1 , 2, 3, 5, 7, 8}
(J ∩ L) = { -1 , 3, 5, 8}
4 and 1 over 4 divided by 1 and 7 over 8
Answer:
3 and 23 Over 32
Step-by-step explanation:
Done
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.
.
.
.
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A table is on sale for $179.20, which is 72% less than the regular price. What is the regular price?
Answer:
640
Step-by-step explanation:
price ÷ 1 - percent (as decimal)
179.20÷(1-0.72) = 640
Answer: Regular price = $640
Step-by-step explanation:
Given information
New price = $179.20
Rate of discount in price = 72%
Given expression
Original Price = New Price / (1 - Rate of discount)
Substitute values into the expression
Original Price = 179.20 / (1 - 72%)
Simplify values in parentheses
Original Price = 179.20 / 0.28
Original Price = $640
Hope this helps!! :)
Please let me know if you have any questions
Combine Like Terms
5. Which expression is equivalent to 30x-5y-15x+10 ?
20xy
- 15x-5y+10
10xy+10
15x-5y+10
Answer:
(15x -5y + 10)
Step-by-step explanation:
After you combine like terms and factor the expression that's what you get :)
Find the length of the segment indicated.
.
9.6
10.2
<
Answer:
i think d or c.....i think it's correct because know just small...
Three angles of a triangle are the 4x or (4x-2) and (3x+6). Find x
Answer: x = 16
Step-by-step explanation:
4x + 4x-2 + 3x + 6 = 180 (being sum of triangle)
or, 11x + 4= 180
or, 11x = 176
so, x = 176/11
so, x = 16
Find the perimeter of this rectangle.
53 in.
16 in.
[?]
inches
Answer:
138
Step-by-step explanation:
perimeter of rectangle=2(l+b)
=2(53+16)
=2(69)
=138
Me ayudarias a resolver los problemas :c
What is the absolute value of 6.4?
Absolute value of 6.4 is 6.4 itself.
What is the number line?A horizontal line with evenly spaced numerical increments is called a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that if corresponds to, such as when graphing a point.
Since, Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.
Thus, the absolute value of a positive number is always positive
Therefore, the Absolute value of 6.4 is 6.4.
Learn more about number line here:
https://brainly.com/question/28625166
#SPJ1
solve
pls need help
pls answer now
k/3 + 4 - 5k = -2k / · 3
k + 12 - 15k = -6k
k - 15k + 6k = -12
-8k = -12 / : (-8)
k = 12/8
k = 3/2 ← the end answer
Answer: A)
I need help with this problem please
Answer:
38
Step-by-step explanation:
10 + 4 + 2 + 9 = 25
That's the stuff we're given.
Now the other sides.
10 - 2 = 8,
9 - 4 = 5,
25 + 8 + 5 = 38
Miguel Sebring took out a loan for $5,000 at 9.5% exact interest for 90 days. How much interest will Miguel pay?
Answer: Miguel will pay Rs 11,875.
Step-by-step explanation:
P = 5,000
R = 9.5%
T = 90 days
now changing time into years
360 days = 1 year
90 days = 1/360 * 90 = 1/4 years = 0.25 years
now
I = PTR/100
= (5,000*9.5*0.25)/100
= 11,875
Choose all that give a level of accuracy appropriate for situation.
The distance for a flight from Georgia to Texas to the nearest mile.
Measuring how long the large mouth bass you caught while fishing to the nearest foot.
The number of party favors needed for a birthday party by the whole number.
The volume of water in a water bottle to the nearest fluid Ounce.
The cost of new laptop plus tax calculated to the nearest tenth.
Using unit measurement concepts, it is found that the correct options are:
The distance for a flight from Georgia to Texas to the nearest mile.Measuring how long the large mouth bass you caught while fishing to the nearest foot. The number of party favors needed for a birthday party by the whole number.The cost of new laptop plus tax calculated to the nearest tenth.----------------------------------
When measurements are made, the unit used is a big consideration, to give accuracy to the measurement. For example, measuring a person's height is kilometres would not give an accurate representation.----------------------------------
In the first option, for distance between cities or states, miles is the most widely used metric, so this option is correct.In the second option, heights of mouth bass are usually measured in inches, which is easily converted to feet(dividing by 12), and thus, this option is correct.In the third option, for each person, there is usually a favor, thus, whole number is an accurate metric, and this option is correct.In the fourth option, volume of water is usually measured in liters, and fluid ounces are way smaller than liters, thus not giving an accurate representation.In the fifth option, costs of products, especially expensive products such as laptops, are rounded to the nearest tenth, and thus, this option is correct.A similar problem is given at https://brainly.com/question/16563559
help me plz now plz help me asap
[tex]\\ \sf\longmapsto 0.49=\dfrac{49}{100}[/tex]
[tex]\\ \sf\longmapsto 0.093=\dfrac{93}{1000}[/tex]
[tex]\\ \sf\longmapsto 0.021=\dfrac{21}{1000}[/tex]
[tex]\\ \sf\longmapsto 0.103=\dfrac{103}{1000}[/tex]
Jorge Is there a 15% tip for the waitress. The cost, C, of his dinner is $45.50. Use the equation below to determine the total,t, of Jorge’s dinner plus the tip.
A. $728
B. $113.75
C. $52.33
D. $6.83
Answer:
Below
Step-by-step explanation:
To find the total cost of Jorge's dinner, all you need to do is multiply the cost of his dinner by 1.15 (the tip amount)
$45.50 x 1.15 = 52.325
= $52.33
Hope this helps!
If y yaries inversely as x and y = 18 when x = 4, what is y when x = 24?
Step-by-step explanation:
hopefully it is clear and understandable
:)
BIG IDEAS MATH #18 Find the distance between the points J( – 8,0) and K(1,4). The exact distance between the two points is
Will give brainliest answer
9514 1404 393
Answer:
(C) g = f(-x)
Step-by-step explanation:
g is a reflection of f over the y-axis. Such a reflection replaces x with -x.
g(x) = f(-x) . . . . . matches choice C
_____
Additional comment
(A) leaves the function unchanged.
(B) is a reflection over the x-axis
(C) is a reflection over the y-axis (applicable here)
(D) is a reflection over the origin (both x- and y-axes)
Stan's, Mark's, and Wayne's ages are consecutive whole numbers. Stan is the youngest, and Wayne is the oldest. The sum of their ages is 111. Find their ages.
Let Stan's age be x, Mark's age be (x + 1) & Wayne's age be (x + 2).
According to the conditions,⇒x + (x + 1) + (x + 2) = 111
⇒x + x + x + 1 + 2 = 111
⇒3x + 3 = 111
⇒3x = 111 - 3
⇒3x = 108
⇒ x = 108/3
⇒ x = 36
Hence,Stayn's age will be x = 36 years.Mark's age will be (x + 1) = 36 + 1 = 37 years.Wayne's age will be (x + 2) = 36 + 2 = 38 years.▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄What is the area of a circle with a diameter of 8 meters? Use 3.14 for pi, nothing else. Express in pi term and number term.
The two answers you are looking for are 16π m² and 50.24 m².
Solution:
Finding the area of the circle,
First, knowing what the area of a circle formula is:
A=πr²
Since knowing that the radius is half the length of the diameter,
If the diameter is 8, then the radius must be 4.
A=π(4)²
A=16π m²
Now, you have the first answer. If you want to express it differently,
Using 3.14 as pi,
So, therefore,
A=16(3.14)
A=50.24 m²
So, now, we can conclude that the two answers you are looking for for the area of this circle are 16π m² and/or 50.24 m².
Answer:
16pi and 50.24 m squared
Step-by-step explanation:
HELP PLEASE
here’s the picture
Answer:
I Believe this is it :DD
Step-by-step explanation:
Answer: yes that you the right A
Step-by-step explanation:
SOMEONE HELPPPPP 4a-18=6a
Answer:
a = -9Step-by-step explanation:
Solving for a in steps:
4a - 18 = 6a6a - 4a = -182a = -18a = -18/2a = -9What is an equation of the line that passes through the points (-5, -8)(−5,−8) and (-4, -6)(−4,−6)?
Answer:
Step-by-step explanation:
General equation of a line is y= mx+b,
where m is the slope and b is the y- intercept
For points (-5, -8) and (-4, -6) the slope is
m= difference in y / difference in x
m = [-6 - (-8)] / [-4 - (- 5)] = (-6+8)/(-4+5) = 2/1 =2
Now we know that y= 2x+b , to find b substitute the coordinate (x, y) with coordinate (-4, -6) -you could pick the other point if you want will work because both points are on the line.
-6 = 2(-4) +b , multiply
-6 = -8 + b, add 8 to both sides
-6+8 =b , add
2 =b
The equation of the line that passes through the points (-5, -8) and (-4, -6) is
y= 2x+2
First of all, you will find the gradient. The formula for finding the gradient is y2-y1 /x2-x1. - 6--8/-4--5.If two negatives meet they change to positive. - 6+8/-4+5=2/1,therefore the gradient is 2,after that then you will find the equation of the line. The formula for finding the equation of the line is y-y1=m(x-x1). y-(-8)=m(x--5),y+8=2(x+5),y+8=2x+10,y=2x+2.
lucy made 3 cakes that each weighed 32 ounces. how many pounds of cake did lucy make
Answer:
6 pounds
Step-by-step explanation:
1 pound = 16ounces
32ounces*3cakes= 96ounces/16ounces=6pounds
456.483 in expanded form
For three collinear points. A between T and Q.
a. Draw a sketch.
b. Write the Segment Addition Postulate.
c. If AT = 10 in and AQ = 5 in, what is TQ?
Answer:
Write the segment addition postulate