Answer:
Lucky you Divide each side by 3
Step-by-step explanation:
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If we add 7 to twice a number , we get 49. Find the number
If using the method of completing the square to solve the quadratic equation
x2 + 13x -3 = 0, which number would have to be added to "complete the
square"?
Answer:
Step-by-step explanation:
The term added which completes the square is half of the linear coefficient squared. In a quadratic ax^2+bx+c, b is the linear coefficient, so in this case the added term would be
(13/2)^2=169/4=42.25
The term 13/2 is added to complete the square.
What is a quadratic equation?
A quadratic equation is a polynomial which has the highest degree equal to two. It is a second-degree equation of the form ax² + bx + c = 0, where a, b, are the coefficients, c is the constant term, and x is the variable.
For the given situation,
The quadratic equation is x^2 + 13x -3 = 0.
This is not the perfect square term. So we can solve this by using the completing the square method.
⇒ [tex]x^{2} +13x-3=0[/tex]
⇒ [tex]x^{2} +13x=3[/tex]
⇒ [tex]x^{2} +13x + (\frac{13}{2})^{2} =3+(\frac{13}{2})^{2}[/tex]
⇒ [tex](x+\frac{13}{2} )^{2} =3+\frac{169}{4}[/tex]
⇒ [tex](x+\frac{13}{2} )^{2} =\frac{181}{4}[/tex]
⇒ [tex]\sqrt{ (x+\frac{13}{2} )}^{2} =\sqrt{\frac{181}{4}}[/tex]
⇒ [tex](x+\frac{13}{2})[/tex] = ± [tex]\frac{\sqrt{181} }{2}[/tex]
Hence we can conclude that the term 13/2 is added to complete the square.
Learn more about quadratic equations here
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If logb y = 2x + logb x, find y.
Answer:
y = 2 x + log ( b x ) , y
Step-by-step explanation:
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What can you conclude about the relationship between government and big business before the Progressive Era began?
The government imposed strict regulations on big business
The government let big business do almost anything they wanted
The government helped working people unionize, upsetting big business
The government regularly sued big business in court
Answer: it’s the second one
Step-by-step explanation:
Write an equation for a line with a slope of 5 and y-inter of -3
Answer:
y=5x-3
Step-by-step explanation:
y=mx+b where m=slope and b= y-intercept
Find the value of x.
Answer:
x=71
Step-by-step explanation:
Write the slope of the line containing each pair of points.
1. (3, 4) and (5, 7)
2. (5, 2) and (9,4)
Kinda confused on this
Answer:
1) 1.5 2) 0.5
Step-by-step explanation:
To find slope using two points like (x1,y1) and (x2,y2), the slope is (y2-y1)/(x2-x1), so for first question (7-4)/(5-3) = 3/2 = 1.5, and same for the second question.
Last year Jo paid £245 for her car insurance.
This year she has to pay £883 for her car insurance.
Work out the percentage increase in the cost of her car insurance
(3 marks)
Answer:
Increase=638/245*100=260.40
Step-by-step explanation:
First: work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number.
Then: divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
Standard Notations 3.042 x 10²
74100
170000
36000
I believe this is right!
The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?
Answer:
There are 48 boys in the choir
Step-by-step explanation:
find ST, find UV, Find the perimeter of triangle RST, find SU
Answer:
(a). ST = 15 units; (b). UV = 3 units; (c). [tex]P_{RST}[/tex] = 54 units; (d). SU = 9 units
Step-by-step explanation:
The centroid of a triangle is the intersection of the three median of the triangle.
If a median of a triangle is a perpendicular, then a triangle is an isosceles triangle.
Find m w in rhombus TUVW.
HELP DUE AT MIDNIGHT TN
Answer:
<8
Step-by-step explanation:
<1 and <8 are alt exterior angles
4. A stamp collection contains 32 Canadian stamps, 20 United Kingdom stamps, and 12 Asian stamps.
Write a ratio, in simplest form, to compare all the stamps.
What 32:30:12 in sim plaits form
Answer:
it'll be 64:5
Hope this helps
Hope this helps ALL THE BEST!!
Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?
0.25 miles per minute
0.09 miles per minute
4 miles per minute
11 miles per minute
Answer:
answer is 0.09 per minute
Step-by-step explanation:
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PLEASE HELP HELP HURRY PLEASE !!!!!!!!
Answer:
what are we helping with?
Step-by-step explanation:
The first term of a geometric sequence is 18 and the multiplier is 3.5. What is the 5th term of the sequence?
Answer:
2701.125
Step-by-step explanation:
fifth term = 18(3.5)^4
Answer:
a₅ = 2701.125
Step-by-step explanation:
Multiply each term by 3.5 , that is
a₁ = 18
a₂ = 3.5 × 18 = 63
a₃ = 3.5 × 63 = 220.5
a₄ = 3.5 × 220.5 = 771.75
a₅ = 3.5 × 771.75 = 2701.125
write the decimal that represent the shaded portion on the model.
Answer:
.45
Step-by-step explanation:
Answer:
0.45
Step-by-step explanation:
Since 45 out of the 100 squares are shaded, it means the fraction would be 45/100 and 45/100 is equal to 0.45.
what times three give you 100
Answer:
33.3
Step-by-step explanation:
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Answer:
3times x =100
Step-by-step explanation:
well make the x the key of the answer
for all positive angles less than 360°, if csc csc (2x+30°)=cos cos (3y-15°), the sum of x and y is?
Answer:
35 degrees
Step-by-step explanation:
for all positive angles less than 360°, if csc (2x+30°)= cos (3y-15°), the sum of x and y is?
Let the given expression be equal to 1, hence;
csc (2x+30°)= cos (3y-15°) = 1
csc (2x+30°) = 1
1/sin(2x+30) = 1
1 = sin(2x+30)
sin(2x+30) = 1
2x+30 = arcsin(1)
2x+30 = 90
2x = 90-30
2x = 60
x = 60/2
x = 30 degrees
Get the value of y;
cos (3y-15°) = 1
3y - 15 = arccos (1)
3y - 15= 0
3y = 0+15
3y = 15
y = 15/3
y = 5
Sum of x and y;
x+y = 30 + 5
x+y = 35degrees
Hence the sum of x and y is 35 degrees
Please help!
Please answer the question on the screen!
Answer:
(x+1)²-5(x-7)= area
Area= (x+1)²-5x-35
Area= x²+2x-5x+36
Area= x²-3x+36
Step-by-step explanation:
Answer:
-12 is the answer but I don't know that is right or not ▪︎▪︎What is the radius, in centimeter, of a circle that has a circumference of 16π centimeters? A. 8 B. 16 C.32 D.6432 D
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:you spel't it wrong so if im right then its b and c
8+8
16+16
32+32
64+64What is the value of y in the equation 2(3y − 6) = 0
Answer:
[tex]y = 2[/tex]
Step-by-step explanation:
1) Divide both sides by 2.
[tex]3y - 6 = 0[/tex]
2) Add 6 to both sides.
[tex]3y = 6[/tex]
3) Divide both sides by 3.
[tex]y = \frac{6}{3} [/tex]
4) Simplify 6/3 to 2.
[tex]y = 2[/tex]
Therefor, the answer is y = 2.
The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?
Let the number of boys and the number of girls be 5x and 4x
Number of girls = 4x = 60
x = 15
Number of boys = 5x
= 5× 15
= 75 boys
Answer:Let the number of boys and the number of girls be 5x and 4x
Number of girls = 4x = 60
x = 15
Number of boys = 5x
= 5× 15
= 75 boys
Step-by-step explanation:
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Answer:
Step-by-step explanation:
x/2 = 20
*2 *2 (2 cancels)
x = 40
Answer:
x=40
Step-by-step explanation:
Number 7, please help me
Answer:
oh dang.. imma head out, no big brain time for me..
Step-by-step explanation:
Help me with this please 4 and 6 only though.
y=9x is proportional
y= 19x - 5 is non proportional.
Hope this helped
Answer:
well 4 is proportional.
6 is non proportinal
Step-by-step explanation:
The two arc lengths shown on the circles are equal, but the circles are different sizes. 2 circles. One circle has a radius of 8 inches and a shaded sector with an angle measure of 90 degrees. The second circle has a shaded sector with an angle measure of 120 degrees. One circle has a radius of 8 in. What is the radius of the other circle? Arc length circle 1 = Arc length circle 2 StartFraction 90 degrees over 360 degrees EndFraction (2 pi (8)) = StartFraction 120 degrees over 360 degrees EndFraction (2 pi (4)) One-fourth (16 pi) = one-third (2 pi r) 4 = two-thirds r r =
Answer:
6
Step-by-step explanation:
I just did the question
ratio of boys to girls in a class of 27 is 1:2
please with 5 or 6 i don't get this at all
Answer :
5 )
1 - 119
2 - 61
3 - 61
4 - 119
5 - 119
6 - 61
7 - 61
6 )
3 - 102
4 - ??
5 - ??
6 - 133
7 - 47
8 - 47
9 - 133
Step-by-step explanation:
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