Simplify -b/2a where a =-8 and b =-1
The correct value of this algebraic expression is -1/16
Given the expression, [tex]\large \sf \dfrac{-b}{2a}[/tex], let's just: change the letters to the numbers and then perform the given operations.
According to the rules of signals, we will have to:*Equal signs will be positive ⇒ (-) (-)= + & (+) (+) = +
*Different signs will be negative ⇒ (-) (+) = - & (+) (-) = -
[tex]\\\large \sf \dfrac{-b}{2a} , \ a=-8 \ , \ b=-1[/tex]
[tex]\large \sf \dfrac{-(-1)}{2 \cdot (-8)}[/tex]
[tex]\large \sf \dfrac{1}{2 \cdot (-8)}[/tex]
[tex]\large \sf \dfrac{1}{-16}[/tex]
[tex]\blue{\boxed{\large \sf -\dfrac{1}{16} }}\\[/tex]
Therefore, the final answer to this simplification will be -1/16
what's the area of a trapezium with a height of 6cm and a length of 9cm and 15cm?
Answer:
72cm²
Step-by-step explanation:
Hello!
The formula for area of a trapezoid: [tex]A = \frac12(b_1 + b_2)h[/tex]
We find the average of the bases, and multiply it by the height.
Plug in the values and solve[tex]A = \frac12(b_1 + b_2)h[/tex][tex]A = \frac12(9 + 15)6[/tex][tex]A = \frac1224(6)[/tex][tex]A = 12(6)[/tex][tex]A = 72[/tex]The area of the trapezoid is 72cm²
What is the greatest common factor of 30y^10 + 15y^6 + 5y^2?
30y^10
5y^2
y^2
5y^10
Answer:
5y²
Step-by-step explanation:
Prime factorizing each term :
⇒ 30y¹⁰ = 5 x 3 x 2 x y¹⁰
⇒ 15y⁶ = 5 x 3 x y⁶
⇒ 5y² = 5 x y²
===============================================================
From this, we understand the GCF of the numbers are :
⇒ 5 × y²
⇒ 5y²
[tex]3x^2+8x+4=0[/tex]
Solve using the quadratic formula.
Answer:
[tex]x = -\dfrac 23\\\\x = -2[/tex]
Step by step explanation:
[tex]3x^2 +8x +4 =0\\\\\text{The quadratic formula,}~ x = \dfrac{-b\pm\sqrt{b^2 -4ac}}{2a}.\\\\\text{By comparing}~ 3x^2 +8x +4~ \text{with the standard form}~ ax^2 +bx +c,\\\\a = 3, ~b = 8 ,~ c = 4\\\\\text{Now,}~\\\\x = \dfrac{-8\pm\sqrt{8^2 -4 \times 3 \times 4}}{2(3)}\\\\\\~~~=\dfrac{-8\pm\sqrt{64-48}}{6}\\\\\\~~~=\dfrac{-8\pm\sqrt{16}}{6}\\\\\\~~~=\dfrac{-8\pm 4 }{6}\\[/tex]
[tex]x = \dfrac{-8+4}{6}=-\dfrac{4}{6}= -\dfrac 23\\\\x= \dfrac{-8-4}{6}= -\dfrac{12}{6}=-2[/tex]
PLEASE HELP!! i’ll give brainliest and no bots!
Find the next two terms in this
sequence.
50, 40, 31, 23, 16, [?], [?]
i need the answer asap
Answer:
It b(4) because if you time 3 times 4 it equals 15.
Step-by-step explanation:
ASAP!!! What is the volume of this prism?
Answer:
a) 56
Step-by-step explanation:
(2x2x6)+(4x4x2)
24+32
Write the equation x + 3y = -4 in slope-intercept form, and then find the slope and y-intercept.
Answer with step by step explanation
To find the equation of the line from the given equation, you have to make y as the subject in the equation.
Let us find now.
x + 3y = -4
3y = -4 - x
3y = -x - 4
Divide the whole equation by 3.
y = -x/3 - 4/3
Therefore, the equation of the line is:
y = -x/3 - 4/3
And now we have to find the slope and the y - intercept of the line.
That is, we have to find the m & c of y = m x + c.
Here,
m ⇒ slope
c ⇒ y - intercept
So, to find it we have to find the values which were replaced with m & c.
Let us find now.
y = m x + c
y = -x/3 - 4/3
Now it is clear that, -1/3 & -4/3 are replaced with m & c respectively.
Therefore,
slope ⇒ -1/3
y - intercept ⇒ -4/3
What is limit of startfraction startroot x 1 endroot minus 2 over x minus 3 endfraction as x approaches 3? 0 one-fourth 4 dne
I'm going to assume the limit is
[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1} - 2}{x - 3}[/tex]
since problems like this usually involve indeterminate forms, and
√(x + 1) - 2 = x - 3 = 0
when x = 3.
To get around the discontinuity in the limand at x = 3, rationalize the numerator:
[tex]\dfrac{\sqrt{x+1} - 2}{x - 3} \times \dfrac{\sqrt{x + 1} + 2}{\sqrt{x + 1} + 2} = \dfrac{\left(\sqrt{x+1}\right)^2 - 2^2}{(x-3) \left(\sqrt{x+1}+2\right)} = \dfrac{x-3}{(x-3)\left(\sqrt{x+1}+2\right)}[/tex]
Now as x approaches 3, the factors of x - 3 cancel, the resulting limand is continuous at x = 3, and we have
[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1} - 2}{x - 3} = \lim_{x\to3} \frac1{\sqrt{x+1}+2} = \boxed{\frac14}[/tex]
1¿Cuál es el signo del resultado de la suma de dos números enteros negativos?
y escribir un ejemplo...
2¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?
y escribir un ejemplo
La suma de dos números enteros negativos siempre será negativa. El signo de la suma de dos números enteros con signos diferentes dependera de cual tiene mayor valor absoluto.
¿Cuál es el signo del resultado de la suma de dos números enteros negativos?
La suma de dos números A y B se escribe como:
A + B.
Sí ambos números son negativos, los podemos escribir como:
A = -a
B = -b
Donde a y b son positivos.
Entonces la suma de esos dos nos dará:
(-a) + (-b) = -(a + b).
Es decir, el resultado de la suma es un número negativo.
Un ejemplo es sí tomamos:
A = -1
B = -4
(-1) + (-4) = -(1 + 4) = -5.
¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?En este caso dependerá de que número tenga mayor valor absoluto.
Por ejemplo, sí usamos:
A = 2
B = -4
2 + (-4) = -2
El resultado es negativo, pues el número negativo tiene mayor valor absoluto.
Por otro lado, sí tenemos:
A = -2
B = 4
(-2) + 4 = 2
El resultado es positivo, pues el número positivo tiene mayor valor absoluto.
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Identify the lateral area and surface area of a regular triangular pyramid with base edge length 6 cm and slant height 13 cm.
The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters
How to determine the lateral area?The given parameters are:
Base length (b) = 6Slant height (l) = 13The lateral area is calculated using:
Lateral = 0.5 * (Perimeter of base) * Slant height
This gives
Lateral = 0.5 * (3 * 6) * 13
Evaluate
Lateral = 117
Hence, the lateral area is 117 square centimeters
How to determine the surface area?The surface area is calculated using:
Surface = l²√3
This gives
Surface = 13² * √3
Evaluate
Surface = 292.72
Hence, the surface area is 292.72 square centimeters
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Answer:
L = 117 cm2 ; S = 132.6 cm2
Step-by-step explanation:
Substitute the known value of the base edge length s=6 cm into the formula for the perimeter of the regular triangle, P=3s.
P=3(6)=18
Therefore, the perimeter of the regular triangle is 18 cm.
Substitute the known values of the perimeter P=18 cm and the slant height l=13 cm into the formula for the lateral area of a regular pyramid, L=1/2Pl.
L=1/2(18)(13)=117
Therefore, the lateral area of the pyramid is 117 cm2.
The surface area of a regular pyramid with lateral area L and base area B is S=L+B, or S=1/2Pl+B.
The base of the regular triangular pyramid is the equilateral triangle. The area of the triangle with the base b and the height h is B=1/2bh.
5ab^2 - 12a^2b + 3ab + ab^2 + 4a^2b
(a) 6ab^2 + -8a^2b + 3ab
(b) -7ab^2 + 8a^2b + 3ab
(c) 6a^2b^4 - 8a^4b^2 + 3ab
(d) 5a^2b^4 + -8a^4b^2 + 3ab
Answer:
(a) 6ab² - 8a²b + 3ab
Step-by-step explanation:
Given: 5ab² - 12a²b + 3ab + ab² + 4a²b
In this question, we will be combining like terms.
What are like terms?
Like terms are terms with the same variables and power. For example, 2x and 4x, as well as 2a² and 4a².
Combine like terms:
5ab² - 12a²b + 3ab + ab² + 4a²b
(5ab² + ab²) + (-12a²b + 4a²b) + 3ab
6ab² - 8a²b + 3ab
Write down the next term in each of these sequences. a) 19, 15, 11, 7, 3,
Answer:
-1
Step-by-step explanation:
Find the difference of each sequence
19 - 15 = 4
15 - 11 = 4
11 - 7 = 4
7- 3 = 4
3 - ? = 4
Subtract 4 from the 3
3 - 4 = -1
Therefore, the next term is -1
x+6/x+3 X x-6/x-3
A. 2x-12/x-3
B. x-12/x-6
C. x^2-12/x^2-6
D. x^2-36/x^2-9
d
Step-by-step explanation:
help only answer if you’re sure
Answer: D.
Step-by-step explanation:
5/9 + 2/4
find common denominator
common denominator=36
5 x 4=20 2 x 9=18
9 x 4=36 4 x 9=36
20/36 + 18/36
20 + 18=38
38/36 simplify
1 2/36 (if not in simpliest form)
The account balance on april 1st is $50.51. on april 15th a payment of $15.00 is made. on april 25th a purchase of $19.27 is made. the annual rate is 18%. what is the finance charge using the previous balance method? $ what is the new balance? $
The finance charge will be $ 0.76. Then the new balance will be $ 55.54.
What is a finance charge?Finance costs are paid to the provider in exchange for supplying cash or granting the loan.
The account balance on April 1st is $50.51.
On April 15th payment of $15.00 is made.
On April 25th a purchase of $19.27 is made.
The annual rate is 18%.
Then the finance charge will be
⇒ $ 50.51 x 0.18 / 12
⇒ $ 0.76
Then the new balance will be
New balance = $ 50.51 - $ 15 + $ 19.27 + $ 0.76
New balance = $ 55.54
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what is the measure of
Answer:
what
Step-by-step explanation:
Find the measure of the three missing angles in the rhombus below.
Explain it.
The measure of the three missing angles in the given rhombus are:
x = 122°
z = 58°
y = 122°
What is a Rhombus?A rhombus is a quadrilateral with four interior angles. In a rhombus, the opposite angles are congruent while the adjacent angles are supplementary to each other.
x and 58° are adjacent angles and are therefore supplementary.
x = 180 - 58 = 122°
z = 58° (opposite angles)
y = x = 122° (opposite angles)
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HELP ASAP ILL MAKE YOU THE BRAINIEST
fInd the value of x
Step-by-step explanation:
cos x = 2/6.5 = 0.3
arccos 0.3 = 72.54 degree
Given circle N with chord AB, which point lies on the perpendicular bisector of AB?
The point that lies on the perpendicular bisector of AB is point N
How to determine the point?The circle is given as:
Circle N
The chord is given as:
Chord AB
The perpendicular bisector of the chord is any line drawn from the center of the circle that divides the chord in equal halves.
This means that the point starts from point N
Hence, the point that lies on the perpendicular bisector of AB is point N
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What is the domain of the function graphed below?
Answer:
A: X < 7
Step-by-step explanation:
The median of the values:29,24,30,23,28,18,
Answer:
26
Step-by-step explanation:
18,23,24,28,29,30
(6 in total + 1)/2=3.5.
- the number which is 3.5 is between 24 and 28.
- middle number between these two is 26.
Express 34m 8cm 6mm in mm
Answer:
34086 mm
Step-by-step explanation:
34m = 34000 mm
8cm = 80 mm
6mm = 6mm
34000+80+6 = 34086 mm
Answer:
34086 mm
34m = 34000m
8cm = 80mm
10 points!! Help me out please!!
To solve this, we need to use our trigonometric equations
⇒ look at the diagram attached
Let's examine what the problem wants:
the length of the side adjacent to the 58-degree angleLet's examine what the problem gives us:
the length of the side opposite to the 58-degree anglethe angle that has a measure of 58-degreesLet's solve:
[tex]tan(58)=\frac{22}{x} \\22=x*tan(58)\\x=\frac{22}{tan(58)} \\x=13.75[/tex]
Answer: 13.8 (rounded to nearest tenth)
Hope that helps!
Name the inverse opet
The inverse operation that you can use to solve this equation is
Answer:
Division
Step-by-step explanation:
You can use division to divide fractions.
Say you have a problem
3/4 divided by 2/5
Turn 2/5 into its reciprocal
That would be 5/2
then multiply 3/4 and 5/2
Which would be 15/8
Which is your answer
(not sure if this is what you are really asking)
wright the follwing in decimlal form:25/8
Answer:
25/8 in decimal form is 3.125.
Step-by-step explanation:
I hope this helps! :)
K, L, and M are points on the circle. KS is a tangent to the circle at K. KM is a diameter and triangle KLM is isosceles. Find the value of z.
Using the circle theorems, the value of z is 45
Circle GeometryFrom the question, we are to determine the value of z
From the given information,
KM is a diameter
∴ ∠KLM = 90° (Angle in a semicircle)
Also, ΔKLM is isosceles
∴ ∠KML = ∠MKL (Base angles of an isosceles triangle)
Then,
∠KML + ∠MKL + ∠KLM = 180° (Sum of angles in a triangle)
2× ∠KML + 90° = 180°
2× ∠KML = 180° - 90°
2× ∠KML = 90°
∠KML = 90°/2
∠KML = 45°
Now, we can observe that
z° = ∠KML (Angles in alternate segment)
But,
∠KML = 45°
∴ z = 45
Hence, the value of z is 45
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Last month, a basketball team scored 83, 84, 85, 87, 89, 88, 67, 79, and 81 points in their games. Which data value(s) are outliers? Select all that apply.
The data value that is an outlier is 67
How to determine the outlier?The dataset is given as:
83, 84, 85, 87, 89, 88, 67, 79, and 81
To determine the outlier, we select the data values that are relatively far from others
In the above dataset, the data element 67 is far from other data values
Hence, the data value that is an outlier is 67
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What a scale drawing a tree is 4 inches tall the scale factor is 1:24. Find the actual height
Answer:
96 inches
Step-by-step explanation:
1:24
4:x
cross multiply:
x=4*24
x=96
enter a number in the box so that the equation will have infinitely many solutions.
Answer:
5
Step-by-step explanation:
10c+15=5(2c+3)
use distributive property
10c+15=10c+15
Hope this helps!
If not, I am sorry.
Answer:
You would have to insert 5 for there to be infinite solutions.