Answer: (x - 5)(6x + 11)
Step-by-step explanation:
Let's factorie the given expression using middle term splitting method.
Thus, we have ;
=> 6x² - 19x - 55
=> 6x² - 30x + 11x - 55
=> 6x(x - 5) + 11(x - 5)
=> (x - 5)(6x + 11)
Hence,
The equivalent expression of 6x² - 19x - 55 is :
(x - 5)(6x + 11).
The coordinates of three vertices of a square are (1, –1), (6, –1), and (6, 4). Fill in each blank to make the statement true. What is the area of the square?
Answer:
25units²Step-by-step explanation:
Given the coordinates of three vertices of a square as A(1, –1), B(6, –1), and C(6, 4). The area of the square is expressed as;
A = L² where;
L is the one of the side length of the square.
Note that all the sides of a square are equal;
To get one of the side length, we will find the distance between any two of the coordinates points. Using the coordinates A(1, –1), B(6, –1)
L = AB = √(x2-x1)²+(y2-y1)²
L = √(6-1)²+(-1-(-1))²
L = √5²+0²
L = √25
L = 5
Area of the square = 5²
Area of the square = 25units²
Hence the area of the square is 25units²
The centroid cuts each median into two segments. The shorter segment is _ _ _ _ the length of the entire segment.
Answer:
Step-by-step explanation:
One third
The centroid of a triangle divides each median.
The shorter segment is 1/3 and the length of the entire segment is 1
The centroid of a triangle divides the median in the following ratio
[tex]\mathbf{Ratio = 2 : 1}[/tex]
The fraction of the shorter segment is:
[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]
[tex]\mathbf{Short = \frac{1}{3}}[/tex]
Hence, the shorter segment is 1/3, while the entire segment is 1.
Read more about centroids at:
https://brainly.com/question/11891965
Si a un numero "X" le sumo 3 y al resultado lo multiplico por 2, me da 14 ¿cual es ese numero?
Evaluate the expression. Need Answer Asap
Answer:
3
Step-by-step explanation:
(4p-m)/4
m=-4 and p=2
Since you know what m and p represent, it shouldn't be hard to solve.
(4 [2] - [-4] )/4 The 4 would be positive since there are two negatives.
(8 + 4)/4 Do the work inside the parenthesis first...
(12)/4 now divide.
Answer:
I hope this helps
Step-by-step explanation:
plz mark brainliest
Write an informal proof to show triangles ABC and DEF are similar.
A.) 12
B.) 10
C.) 6
D.) 8
Answer:
a
Step-by-step explanation:
Philip's rectangular deck is 5 yards wide. The ratio of the width to the length is 4 to 5. What is the approximate length of Philip's deck in feet? Hint: 1 yard = 3 feet.
Answer:
18.75 feet
Step-by-step explanation:
Step 1
we find the length of Philip's rectangular deck in yards
The ratio of the width to the length is 4 to 5.
Philip's rectangular deck is 5 yards wide.
Hence,
Hence:
4/5 = 5/x
Cross Multiply
4x = 5 × 5
4x = 25
x = 25/4
x = 6.25 yards
The length of Philip's field = 6.25 yards
Hint: 1 yard = 3 feet.
Converting the yard to feet
1 yard = 3 feet
6.25 yards = x
Cross Multiply
x = 6.25 × 3 feet
x = 18.75 feet
Therefore, the length of Philip's field in feet = 18.75 feet
YALL B) HELP ME NOOOOWWWWWWWW!
Answer:
A) 0."36"
B)It is a repeating decimal because .36 is repeated indefinitely. Terminating decimals contains a finite number of digits after the decimal point.
Step-by-step explanation:
Layla has a toy car collection of 400 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall?
Answer:
340 cars on her wall
( Brainlyst will help my rank, thanks! <3 )
Suppose that y is inversely proportional to the 4th power of x, and that y=15 when x=5. What is y when x=7? Round your answer to two decimal places if necessary.
Answer:
y = 3.91 when x =7
Step-by-step explanation:
y = k / x⁴
Where,
k = constant of proportionality
y=15 when x=5
y = k / x⁴
15 = k / 5⁴
Cross product
15 × 5⁴ = k
15 × 625 = k
9,375 = k
What is y when x=7?
y = k / x⁴
= 9,375 / 7⁴
= 9,375 / 2401
= 3.9046230737192
Approximately
y = 3.91
A freight train traveling along a certain route uses 12 units of fuel per mile plus an additional 2.2 units of fuel per mile for each railcar on the train. Let N represent the number of railcars on the train. What is an expression for f(N), the total number of units of fuel used per mile? find f(12). How many railcars does the train have if f(N)=34?
Answer:
[tex]38.4\ \text{units of fuel/mile}[/tex]
10
Step-by-step explanation:
Let [tex]N[/tex] represent the number of rail cars on the train
Each rail car adds 2.2 units of fuel per mile.
Fixed fuel consumption is 12 units of fuel per mile
The function of fuel consumption per mile is
[tex]f(N)=12+2.2 N[/tex]
when
[tex]N=12[/tex]
[tex]f(12)=12+2.2\times 12\\\Rightarrow f(12)=38.4\ \text{units/mile}[/tex]
[tex]\boldsymbol{f(12)=38.4\ \text{units/mile}}[/tex]
[tex]f(N)=34\\\Rightarrow 12+2.2N=34\\\Rightarrow N=\dfrac{34-12}{2.2}\\\Rightarrow N=10[/tex]
So, the number of rail cars when [tex]f(N)=34[/tex] is 10.
1. Explain why 3(x + 4) = 3(x - 5) has no solution.
Answer:
There is no solution because they are not equal
Step-by-step explanation:
3(x + 4) = 3(x - 5) cannot simply happen, as they are not equal.
Hope this helps!
If x = 14, which equation is true?
A.3 ( 20 − x ) = 44
B.3 ( 12 − x ) = 6
C.2 ( x − 3 ) = 22
D.2 x − 3 = 22
Answer:
C. 2 ( x − 3 ) = 22Step-by-step explanation:
if x = 14
2 ( x − 3 ) = 22
2 (14 - 3) = 22
2 (11) = 22
22 = 22
therefore, the answer is C.
Please Help!!!!!!!!!!
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is 2/5?
line n, with slope -5/2
line m, with slope 5/2
line p, with slope 2/5
Answer:
Step-by-step explanation:
n is perpendicular. - 1/(2/5) = - 5/2. n is the negative reciprocal of the given line.
m is neither.
p is parallel to the given line. For example y = 2/5x
and y = 2/5 x + 9 are parallel to each other.
Passes through (-6,-1) and is parallel to y=-2/3x+1
Answer:
y=-2/3x-6
Step-by-step explanation:
y=mx+b
m=-2/3
y-y=m(x-x1)
y-(-1)=-2/3(x-(-6))
y+1=-2/3x-4
-1 -1
y=-2/3x-5
Answer:
[tex]y=-\frac{2}{3}x -5[/tex]
Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b\\\\y=(slope)x+(y-intercept)[/tex]
m is the slopeb is the y-interceptx and y are corresponding coordinate points (x,y)When two lines are parallel, their slopes are the same. Take the slope from the given equation and insert into the new:
[tex]y=-\frac{2}{3} x+b[/tex]
Now find the y-intercept. For this, insert the given coordinate points and the slope into the equation to solve for b:
[tex](-6_{x},-1_{y})\\\\-1=-\frac{2}{3} (-6)+b[/tex]
Simplify multiplication using the rule [tex]\frac{a}{b} *c=\frac{ac}{b}[/tex] :
[tex]-1=-\frac{2(-6)}{3} +b\\\\-1=-\frac{-12}{3} +b\\\\-1=\frac{12}{3} +b\\\\-1=4+b[/tex]
Use inverse operations to isolate the variable. Subtract 4 from both sides:
[tex]-1-4=4-4+b\\\\-5=b[/tex]
The y-intercept is -5. Insert:
[tex]y=-\frac{2}{3}x -5[/tex]
:Done
HELP!!BRAINLIEST AND 10 POINTS
Answer:
A
Step-by-step explanation:
I think that's da answer I hope it help ya
5/8 divided by 1 and 1/3?
Answer:
15/32
Step-by-step explanation:
First convert 1 1/3 to improper fraction:
1 1/3 = 4/3
5/8 divided by 4/3 is same as...
[tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]
Do these pairs of values (x and y) represent two quantities that are
proportional?
ху
3 12
520
624
9 36
Answer:
yes
Step-by-step explanation:
Each value of x multiplied by 4 gives the corresponding value of y, that is
3 × 4 = 12
5 × 4 = 20
6 × 4 = 24
9 × 4 = 36
Thus x and y are proportional and the constant of proportion is 4
what is the slope of the line, (-6, -8) and (2, 8)?
Answer:
Your slope would be 2.
Step-by-step explanation:
To find the slope, you would need to use the formula: y2-y1/x2-x1
In this case, the equation would be 8-(-8)/2-(-6)
8 - (-8) = 16
2 - (-6) = 8
16/8 = 2
Slope: 2
How do you solve this?
Answer:
[tex] x = 18 [/tex]
[tex] y = 7.5 [/tex]
[tex] z = 7 [/tex]
Step-by-step explanation:
✍️[tex] (8x - 7) + (3x - 11) = 180 [/tex] (consecutive interior angles are supplementary)
Solve for x
[tex] 8x - 7 + 3x - 11 = 180 [/tex]
Add like terms
[tex] 11x - 18 = 180 [/tex]
Add 18 to both sides
[tex] 11x = 180 + 18 [/tex]
[tex] 11x = 198 [/tex]
Divide both sides by 11
✅[tex] x = 18 [/tex]
✍️[tex] (2y + 23) = (4y + 8) [/tex] (alternate interior angles are congruent)
Solve for y
[tex] 2y + 23 = 4y + 8 [/tex]
Collect like terms
[tex] 23 - 8 = 4y - 2y [/tex]
[tex] 15 = 2y [/tex]
Divide both sides by 2
✅y = 7.5
✍️[tex] (2y + 23) + (3z^2 - 5) = 180 [/tex] (linear pair angles)
Plug in the value of y
[tex] (2(7.5) + 23) + (3z^2 - 5) = 180 [/tex]
[tex] (15 + 23) + (3z^2 - 5) = 180 [/tex]
[tex] 38 + 3z^2 - 5 = 180 [/tex]
Add like terms
[tex] 3z^2 + 33 = 180 [/tex]
Subtract 33 from each side
[tex] 3z^2 = 180 - 33 [/tex]
[tex] 3z^2 = 147 [/tex]
Divide both sides by 3
[tex] z^2 = \frac{147}{3} [/tex]
[tex] z^2 = 49 [/tex]
Square both sides
[tex] \sqrt{z^2} = \sqrt{49} [/tex]
[tex] z = 7 [/tex]
£3 will buy 5 meals for one person.
(a) work out the cost of one meals
give an answer in pence
I will mark brainest for the working out pls and it has to be the correct answer and working out.
I need a answer asap (as soon as possible)
express 50 1/4 in simplest radical form
Answer:
Step-by-step explanation:
This is just an improper fraction when done.
numerator: 50*4 + 1 = 200 + 1 = 201
denominator: 4
Answer: 201/4
The length of a rectangle is three times the width. The perimeter of the rectangle is 72 cm. Find the dimensions of the rectangle.
Answer: length=27, width 9
Step-by-step explanation: To solve this problem, you should set up an equation. The length is 3x, and the width is x. To find the perimeter of a triangle, you do length times two + width times two. So 6x+2x=72. 8x=72, x=9. Length is 27, width is 9.
Answer:
Length: 27cm
Width: 9cm
Step-by-step explanation:
Since the length of the rectangle is 3 times the width, we can assume the width=x and the length=3x.
P=72cm
Perimeter= 3x+3x+x+x
Set the 2 equations equal to each other
72=3x+3x+x+x
Solve for x
72=8x
9=x
Length=3x
Length=9(3)
Length=27
Width=x
Width=9
Please please help! Its due soon!! Ill mark brainliest!!
I need side b, using tangent!! Thank you!!
Answer:
tan 68 degrees = b/60
60 * tan 68 degrees = b
b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths
Step-by-step explanation:
Hope it helps!
Answer:
tan 68 degrees = b/60
60 * tan 68 degrees = b
b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths
. Step-by-step explanation:
Hope it helps!
does anyone know this?
Answer:
2.4x10^-2
Step-by-step explanation:
since this number is a decimal you will use a negative number above the 10...
You use the utility company’s budget plan for paying your home heating bills. You pay $75 a month for 9 months. Your actual bills are: September, $28.95; October, $46.15; November, $68.46; December, $109.34; January, $115.26; February, $94.19; March $75.66; April, $51.97; and May, $49.16. Compute the average for the 9 months
Answer:
$71.01Step-by-step explanation:
What is the average of a set of numbers?
An average is a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.
Given
September, $28.95;
October, $46.15;
November, $68.46;
December, $109.34;
January, $115.26;
February, $94.19;
March $75.66;
April, $51.97; and
May, $49.16.
Step two:
Total amount= 28.95+46.15+68.46+109.34+115.26+94.19+75.66+51.97+49.16= 639.14
Total number of monts= 9
Average= 639.14/9
Average= $71.01
What is the 100th term of the sequence with a1 = 222 and d = -5
Answer:
-273
Step-by-step explanation:
222- (99*5)
222-495
-273
Answer:
-273
(next time if their is options maybe also try and put them, it would help a lot)
What is the Value of the angle AEX
Answer:
52
Step-by-step explanation:
I take it that x is somewhere near the end of the diagonal line, so you want to know the value of 3x + 1???
We know that (3x + 1) + (2x + 4) = 90 degrees. That's because AEF = 90 degrees.
So begin by removing the brackets.
3x + 1 + 2x + 4 = 90 Combine the like terms.
5x + 5 =90 Subtract 5 from both sides.
5x + 5 - 5 = 90 - 5 Combine
5x = 85 Divide by 5
x = 17
3x + 1 = 3*17 + 1 = 51 + 1 = 52
Factor this polynomial expression.
x2 - 25
O A. (x - 25)(x - 25)
O B. (x+ 5)(x - 5)
C. (x - 5)(x - 5)
O D. (x+25)(x - 25)
Answer:
(x+5)(x-5)
Step-by-step explanation:
x^2 - 25
This can be written as
x^2 - 5^2
We know that this is the difference of squares
a^2 - b^2 = ( a+b) ( a-b)
x^2 - 5^2 = (x+5)(x-5)
Answer:
B. (x + 5)(x - 5)
Step-by-step explanation:
Factor the following:
[tex] \longrightarrow [/tex] x² - 25
25 = 5²:
[tex] \longrightarrow [/tex] x² - 5²
Factor the difference of two squares.
a² - b² = (a + b)(a - b):
[tex] \longrightarrow [/tex] (x + 5)(x - 5)
The ratio of boys to girls in Ms. Alper’s math classes is 5 ∶ 7. If there are 60 boys in all of her classes, how many girls are there ?
Plz help im so dumb ;-;
Answer:
I think it's 80 I'm sorry if I'm wrong
Answer:
the person above is incorrect I think it may or may not be 75
then nth term of a sequence is 10-4n list the first 3 terms
The required first 3 terms of the sequence are 6, 2. -2.
Given that,
Then nth term of a sequence is 10-4n list the first 3 terms is to be determined.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
Nth term = 10 - 4n
For the first term, put n = 1
1 st term = 10 - 4 = 6
For the second term put n = 2
2nd = 10 - 8 = 2
For the third term put n = 3
3rd = 10 - 12 = -2
Thus, the required first 3 terms of the sequence are 6, 2. -2.
Learn more about arithmetic progression here: https://brainly.com/question/20334860
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