Answer:
[tex]\huge\boxed{\sf Solution \ Set = \{-1, \ -2/5\}}[/tex]
Step-by-step explanation:
[tex]\sf 5x^2+7x+2 = 0\\\\By \ mid-term\ break,\\\\5x^2 + 5x+2x+2=0\\\\Taking \ common\\\\5x(x+1)+2(x+1)=0\\\\Take \ (x+1) \ common\\\\(x+1)(5x+2)=0\\\\Either, (By \ Zero's \ Method)\\\\x+1 = 0 \ \ \ OR \ \ \ 5x + 2 = 0\\\\x = -1 \ \ \ OR \ \ \ x = -2/5\\\\Solution \ Set = \{-1, \ -2/5\}\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!n÷102=0.123
What is the value of n
Answer:
n = 12.546
Step-by-step explanation:
to find the value of n we need to transpose
n ÷ 102 = 0.123
n = 0.123 × 102
n = 12.546
4 - 2(x-4)/ 3= 3(2x+5)/2
linear equation in one variable
no spamms❌❌❌❌
Step-by-step explanation:
4-2x+8/3 = 6x+15/2
12-2x+8/3= 6x+15/2 ( taken LCM. of 1,3,3 in LHS)
20-2x/3=6x+15/2
Do cross multiplication
2(20-2x) = 3(6x+15)
40-4x=18x+45
-4x-18x=45+40
-22x= 85
-x= 85/22
x= - 3.86..
hope it helps
find the value of x if 8=3-5x
step by step
Answer:
8=3-5x
5x=3-8
5x=-5
x=-5/5
x=-1
is the required answer
-2/3y - 3/4 = 5? with work please!
Answer:
-69/8
Step-by-step explanation:
-2/3y - 3/4 = 5
-2/3y = 23/4
y = -69/8
HELP FAST A vertical slice through a three-dimensional solid produces a two-dimensional shape. (shape is a triangle)
Answer:
the surface of "C" would be a triangle if sliced vertically
Step-by-step explanation:
If vertical slice through a three-dimensional solid produces a two-dimensional shape is triangular prism, option C is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
If a vertical slice through a three-dimensional solid produces a two-dimensional shape which is a triangle, it means that the solid has a triangular cross-section.
In other words, the cross-section of the solid that is perpendicular to its base is in the shape of a triangle.
A triangular prism is a solid shape that has a triangular cross-section. If you were to take a vertical slice through the prism, the resulting two-dimensional shape would be a triangle.
Hence, if vertical slice through a three-dimensional solid produces a two-dimensional shape is triangular prism
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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three times the difference of a number cubed and 10 in algebraic expression
Answer:
3 × x³ - 10
Step-by-step explanation:
three times = 3×
difference = -
number cubed (unknown so we use x) = x³
10 = 10
Hope this helps!
I'm sorry if wrong :(
1. 3x + y = -3
What is the x intercept
Answer:
Step-by-step explanation:
When calculating x-intercept, always think: y=0.
Putting this into the formula creates:
3x+0 = -3
3x = -3
x = -1
V = (pi r^2 h/3)...solve for h
Answer:
h = (3×V)/ (pi×r²)
Step-by-step explanation:
[tex]v = \frac{\pi {r}^{2} h}{3} [/tex]
[tex]3 \times v = \pi {r}^{2} h[/tex]
[tex]h = \frac{3v}{\pi {r}^{2} } [/tex]
if f(X+4) =3x+2 ,then find the value of f(4) please explain our answer in a clear way
[tex]\\ \sf\longmapsto f(x+4)=3x+2[/tex]
Taking y=x+4 so x=y-4[tex]\\ \sf\longmapsto f(y)=3(y-4)+2[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-12+2[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-10[/tex]
Hence
[tex]\\ \sf\longmapsto f(x)=3x-10[/tex]
So
[tex]\\ \sf\longmapsto f(4)=3(4)-10[/tex]
[tex]\\ \sf\longmapsto f(4)=12-10[/tex]
[tex]\\ \sf\longmapsto f(4)=2[/tex]
Answer: 2
hi,
Step-by-step explanation:
[tex]f(x+4)=3x+2\\\\Let\ say\ y=x+4\ or\ x=y-4\\\\f(y)=3*(y-4)+2=3y-12+2=3y-10\\\\so\ f(x)=3x-10\\\\and\ f(4)=3*4-10=12-10=2\\[/tex]
can somebody please explain how to do this:)
[tex]\\ \sf\longmapsto \dfrac{sin40.sin120}{sin110-sin340}[/tex]
[tex]\\ \sf\longmapsto \dfrac{sin(90-50).sin(90+30)}{sin(90+20).sin(360-20)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{cos50.cos30}{cos20.(-sin20}[/tex]
[tex]\\ \sf\longmapsto \dfrac{cos50cos30}{-sin20cos20}[/tex]
[tex]\\ \sf\longmapsto -\dfrac{cos30cos50}{sin20cos20}[/tex]
The insects, birds, snakes, and plants that live in a local wetland make up a
A. molecule
B. organism
C. population
D. community
Find the height of a clock tower if the angle of elevation from a horizontal point 430 m from its base is 40°.
[tex]\\ \sf\longmapsto tan40=\dfrac{P}{430}[/tex]
[tex]\\ \sf\longmapsto 0.83=\dfrac{P}{430}[/tex]
[tex]\\ \sf\longmapsto P=430(0.83)[/tex]
[tex]\\ \sf\longmapsto P\approx361m[/tex]
P=Height of towerg(r) = -1 - 77
g(6)=
Answer:
g(6) = -1 -77
because the expression doesn't have r
Step-by-step explanation:
a goat is six times as heavy as its kid if their total mass is 70 kg find each of their masses in kg
plzz help i need it fast
Answer:
10kg and 60 kg.
Step-by-step explanation:
Let the kid's mass be x kg, then the goat's mass is 6x.
x + 6x = 70
7x = 70
x = 10.
How do I write 5,248,663,711 in expanded form
Answer:
5,000,000,000+200,000,000+40,000,000+8,000,000+600,000+60,000+3,000+700+10+1
Step-by-step explanation:
5,000,000,000 + 200,000,000+ 40,000,000+ 8,000,000+ 600,000+ 60,000+ 3,000
+ 700 + 10 + 1
there are 750 pupils in a school 54% of the pupils are girls how many boys are in the school?
Answer:
245 boys
Step-by-step explanation:
54/100*750
=405 girls
so 750-405=245
Which number comes first when the numbers are listed from least tò greatest?
Answer:
the least
Step-by-step explanation:
Answer:
-∞
Step-by-step explanation:
Negative numbers are the smallest on the number line. Since the number range is not specified -∞ would be a preferred answer.
DF is the altitude to the hypotenuse EC. What is the length of DE?
Select the best answer from the choices provided.
A. 3
B. 6
C.12
D. 24
Answer:
D
Step-by-step explanation:
Using the Altitude- on- hypotenuse theorem
DF² = CD × DE , substitute values
12² = 6 DE
144 = 6 DE ( divide both sides by 6 )
24 = DE → D
Please help explanation if possible
Answer:
r/2 = w
Step-by-step explanation:
r = 2w
Divide each side by 2
r/2 = 2w/2
r/2 = w
How do horizontal and vertical translations each affect the coordinates of the points on a figure.
Answer:
Step-by-step explanation:
Horizontal translations changes the x-axis
Vertical translations changes the y-axis
express 2/3 of a straight angle into radian?
[tex]\\ \sf\longmapsto \dfrac{2}{3}\:of\:180[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}\times 180[/tex]
[tex]\\ \sf\longmapsto 2(60)[/tex]
[tex]\\ \sf\longmapsto 120[/tex]
Convert to radians
[tex]\\ \sf\longmapsto 120\times \dfrac{\pi}{180}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2\pi}{3}rad[/tex]
The graph of f (x) is shown which is the axis of symmetry of the graph f (x)
Answer:
B) x = 3
Step-by-step explanation:
This is the axis of symmetry because the graph is symmetric in this line
If x≠0, which expression is equivalent to this expression?
Step-by-step explanation:
Here radical rule is that [tex]\sqrt[n]{x^{m} } = x^{m/n}[/tex] ; [tex]x\neq 0[/tex] so
[tex]\sqrt[4]{x^3} = x^{3/4}[/tex]
>>[tex](x^{3/4})/x^{1/12}[/tex]
>>[tex]x^{2/3}[/tex]
factor of -2800 and -2
Step-by-step explanation:
factors of -2 = -1 and -2
factors of -2800 = -1 -2 -4 -5 -7 -8 -10 -14 -16 -20 -25 -28 -35 -40 -56 -70 -80 -100 -112 -140 -175 -200 -280 -350 -400 -560 -700 -1400 -2800
MARK AS BRAINLIST IF IT IS USEFUL
If hexagon ABCDEF is similar to hexagon KLMNOP, which of the following must be true?
Step-by-step explanation: Similar figures have the same shape, but not necessarily the size. If two figures are similar, then their corresponding angles are congruent so <E ≅ <O because these are the corresponding angles in the similarity statement.
Answer: <E ≅ <O
Step-by-step explanation:
Solve: XXVI - IV. Show your answer in standard form. Standard Number 1 5 10 50 100 500 1,000 Roman Numeral 1 V x L lulolz A) 22 B) 20 C) 19
Answer:
22
Step-by-step explanation:
these i can do keep sendin em in
Answer:
22
b/c XXVI - IV
(26 - 4 )
=22
Help with the length of the third side?
Answer:
C. c = 10
Step-by-step explanation:
You have to use the Pythagorean theorem:
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10
Answer:
c = 10
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + 8^2 = c^2
36+64= c^2
100 = c^2
Take the square root of each side
sqrt(100) = sqrt(c^2)
10 -c
A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of
the car (assume uniform acceleration).
Answer:
57.12 m
Step-by-step explanation:
velocity= distance/time
distance= velocity×time
=22.4×2.55
=57.12 m
Answer:
d = 28.6 m
Step-by-step explanation:
Given:
vi = 22.4 m/s
vf = 0 m/s
t = 2.55 s
Find:
d = ??
d = (vi + vf)/2 *t
d = (22.4 m/s + 0 m/s)/2 *2.55 s
d = (11.2 m/s)*2.55 s
d = 28.6 m
The manager of a theater wants to know whether majority of his patrons are adults or children. One day, 5400 tickets were sold and the receipts totaled $41,616. The adults admission is $9.50, and the children's admission is $6.50. How many adults patrons were there?
Answer:
2,172 adults
Step-by-step explanation:
Let adults = x
children = y
x + y = 5400
9.5x + 6.5y = 41,616
Let's use the elimination method to solve this.
Multiply the top equation by -6.5
(x + y = 5400)-6.5
-6.5x - 6.5y = -35100
This will allow us to eliminate the y and add up the other terms
9.5x + 6.5y = 41,616
-6.5x - 6.5y = -35100
3x = 6516
Divide both sides by the coefficient, 3, to isolate the variable, x
3x/3 = 6516/3
x = 2172
In a series of three numbers, the second number is 3 less than the first, and the third is three times the second. If the first number is
x,
how much greater than the second number is the third number
third number?