Answer:
the distance between the lines is 2.48
x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?
Answer:
a + b =1
Step-by-step explanation:
Write the given quadratic as x^2 – 1x – 90 = 0. This factors into
(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.
If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.
Evaluate the expression when m=4.
m^2 + 6m + 8
Answer:
According to me,
48 is the answersHelp pls will give brainliest
Answer:
hello,
answer C
Step-by-step explanation:
area of the rectangle=2b*b=2b²
area of the half cercle= [tex]\\\dfrac{\pi*(\frac{c}{2})^2}{2} =\dfrac{\pi*c^2}{8} \\[/tex]
Area in blue= 2b²-πc²/8
Please help explanation if possible
Answer:
(-4, -1)
Step-by-step explanation:
The solution to the system of equations on a graph is the point in which they intersect. Therefore, the solution is (-4, -1).
What type of conic section is the following equation?
5x^2-y=12
Answer:
The conic section for the equation 5x^2 - y = 12 is parabola
If my savings of $x grows 10% each year, how much will I have in 1 year?
Answer: $1.1x
Step-by-step explanation:
x = your saving at beginning of year10% = 0.1At the end of year 1, it will increase by 10%:
[tex]x+0.1x=x(1+0.1)=1.1x[/tex]
The U.S. Mint produces quarters that weigh about 5.67 grams each. After the
quarters are produced, a machine weighs them. If the quarter weighs 0.02 gram more
or less than the desired weight, the quarter is rejected. Write and solve an equation to
find the heaviest and lightest quarters the machine will approve.
[tex]\to \bold{|x-5.67|=0.02}\\\\[/tex]
heaviest[tex]\bold{=5.69\ g\\\\}[/tex]
lightest[tex]\bold{=5.65\ g\\\\}[/tex]
Evaluating each expression:
[tex]\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}[/tex]
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Find the X intercepts of the equation f(x) = x^2 - 6x + 6
Answer:
x-intercepts = (x ≈ -0.87), (x ≈ 6.87)
Step-by-step explanation:
let x = 0, in equation for x-intercepts
solve for x using the
quadratic formula
x = −6 ± √ 36 + 24
2x
= −6 ± √60
−2x
= −6 ± 2 √ 15
−2 = 3 ± √15
The length of the pencil is 8x + 2 and length of pen is 4x + 1. Find the difference between their lengths.
Answer:
4x + 1
Step-by-step explanation:
(8x + 2) - (4x + 1)
subtract the terms that are common,,
8x-4x=4x
2-1=1
therefore, it would be 4x + 1
if you need more help with these, feel free to sub to gauthmath on subreddit
convierte los decimales a fracción:
a) 3, 1233333 =
b) 4, 3855555 =
c) 37, 22222 =
d) 16, 2929292929 =
e) 2, 33333333 =
(a) Let x = 3.12333…. Then 100x = 312.333… and 1000x = 3123.333…, so that
1000x - 100x = 3123.333… - 312.333…
==> 900x = 2811
==> x = 2811/900 = 937/300
(b) x = 4.38555… ==> 100x = 438.555… and 1000x = 4385.555…
==> 900x = 3947
==> x = 3947/900
(c) x = 37.222… ==> 10x = 372.222…
==> 9x = 335
==> x = 335/9
(d) x = 16.292929… ==> 100x = 1629.292929…
==> 99x = 1613
==> x = 1613/99
(e) x = 2.333… ==> 10x = 23.333…
==> 9x = 21
==> x = 21/9 = 7/3
What is the 6th term in the geometric sequence described by this explicit
formula?
an= 3.4(n-1)
Answer:
The 6th term is 3072.
Step-by-step explanation:
whats the gcf of 50,40
whats the gcf of 14,56,63
9514 1404 393
Answer:
107Step-by-step explanation:
The GCF can be no larger than the difference between the numbers. That would be the first value you want to check to see if it is a factor of the numbers.
GCF(40, 50)The difference is 10, which is a factor of both 40 and 50.
GCF(40, 50) = 10
__
GCF(14, 56, 63)You can figure the GCF pairwise, as GCF(14, 56) = 14; then GCF(14, 63) = 7. Or, you can look at the smallest difference between any pair of numbers. Here, that is 63 -56 = 7, which is a factor of all three numbers.
GCF(14, 56, 63) = 7
_____
Additional comment
Euclid's algorithm has you compute the remainder from division of the largest by the smallest. When that remainder is non-zero, it replaces the largest, and you repeat. When the remainder is zero, the smallest is the GCF.
For example, let's look at the GCF of 14 and 63.
63/14 = 4 r 7
14/7 = 2 r 0 . . . . . 7 is the divisor, so is the greatest common factor
The cross-section of a searchlight mirror is shaped like a parabola. The light bulb is located 3 centimeters from the base along the axis of symmetry. If the mirror is 20 centimeters across at the opening, find its depth in centimeters. (Round your answer to the nearest tenth if necessary.)
The depth of the mirror of the cross-section of a searchlight would be 8.33 cm if the light bub has a vertex at 3 cm and the mirror is 20 centimeters across at the origin.
A cross-section is perpendicular to the axis of the symmetry goes through the vertex of the parabola. The cross-sectional shape of the mirrored section of most searchlights or spotlights is parabolic.
It helps in maximizing the output of light in one direction.The equation of the cross-section of the parabola is - [tex]y^{2} = 4ax[/tex], where a is the focus and x is the depth of the mirror from its origin.Given:
a = 3
y = [tex]\frac{20}{2}[/tex] cm = 10 cm
Solution:
from the equation [tex]y^{2} = 4ax[/tex]
[tex]y^{2} = 4*3*x\\ y^{2} = 12x[/tex]
putting x, 10 cm in the equation
[tex]x=\frac{10^{2} }{12} \\\\x= \frac{100}{12} \\\\x= 8.33 cm[/tex]
thus, the depth of the mirror would be - 8.33 cm
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The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.Calculate angle PRO.
Answer:
5.53°
Explanation:
Law of sines.
I need help i tried to do this but can't get it.
Answer: x=5, y=-1
Hope this helps
Which numbers are a distance of 2 units from 8 on a number line?
++++++++++
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
Select each correct answer.
0-2
06
O 8
0 10
0-6
0-8
Step-by-step explanation:
0 10
0-6
this is the answer. I am sure
The value of numbers are 6 and 10 which are a distance of 2 units from 8 on a number line.
What is mean by Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
We have to given that;
Number line is shown in figure.
And, We have to find the value of numbers which are a distance of 2 units from 8 on a number line.
Now,
We can find the value of numbers as;
⇒ | 8 - 2 | = 6
⇒ | 8 + 2 | = 10
Therefore, The value of numbers are 6 and 10 which are a distance of 2 units from 8 on a number line.
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Which graph shows the solution set
Answer:
D
Step-by-step explanation:
Answer:
It's D on there
Step-by-step explanation:
Solve 3x^2+19x +6 please help
Answer:
(3x + 1)(x + 6)
3x^2 + 19x + 6
3x^2 + 18x + x + 6
3x^2 + 18x + x + 6
3x(x + 6) + x + 6
3x(x + 6) + x + 6
(3x + 1)(x + 6)
Haven't done this in a pretty long time so I might be wrong
QUICK PLZ!!!!! Which graph shows the result of dilating this figure by a factor of One-third about the origin? On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6). On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2). On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18). On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answer:
[tex]A' = (-2,2)[/tex]
[tex]B' = (2,2)[/tex]
[tex]C' = (2,-2)[/tex]
Step-by-step explanation:
Given
[tex]A = (-6,6)[/tex]
[tex]B = (6,6)[/tex]
[tex]C = (6,-6)[/tex]
[tex]k = \frac{1}{3}[/tex]
Required
The new coordinates
To do this, we simply multiply the coordinates of [tex]\triangle ABC[/tex] by the factor of dilation.
i.e.:
[tex]A' = A * k[/tex]
[tex]B' = B * k[/tex]
[tex]C' = C * k[/tex]
So, we have:
[tex]A' = (-6,6) * \frac{1}{3}[/tex]
[tex]A' = (-2,2)[/tex]
[tex]B' = (6,6) * \frac{1}{3}[/tex]
[tex]B' = (2,2)[/tex]
[tex]C' = (6,-6) * \frac{1}{3}[/tex]
[tex]C' = (2,-2)[/tex]
plz help me solving this question
Answer:
Step-by-step explanation:
3) Surface area of cube = 6a² where a is side of the cube.
a) a = 6 cm
Surface area of cube = 6 * 6*6 = 216 cm²
b) a = 4.5 cm
Surface area of cube = 6 * 4.5 * 4.5 = 121.5 cm²
4) Area of cuboid = A = 2(lb + bh + hl)
a) l = 10 cm ; h = 6 cm ; A = 376 cm²
A = 376
2(lb + bh + hl) = 376
2(10b + 6b + 60) = 376
2*( 16b + 60) = 376
2*16b + 2*60 = 376
32b + 120 = 376
32b = 376 - 120
32b = 256
b = 256 / 32
b = 8 cm
5) Surface area of cube = 150 cm²
6a² = 150
Divide both sides by 6
a² = 150/6
a² = 25 = 5*5
a = 5 cm
6) l = 15 cm ; b = 12 cm ; h = 10cm
Lidless. so area of top portion is not included
Surface area of lidless cuboid = 2(hb + hl) + lb
= 2*(10*12 + 10*15) + (15*12)
= 2*(120 + 150) + 180
= 2* 270 + 180
= 540 + 180
= 720 cm²
Step-by-step explanation:
Q5:Find the length of each side of the cube whose Total surface area are given below:
(B)2400cm^2
Solution:
T.S.A= 6a^2 [ we have to find a]
2400=6a^2
2400/6=a^2
400=a^2
a=squareroot of 400
=20
So, 20cm is the length of a cube.
What percentage is 150 grams of 400 grams?
1 %
Answer:
37.5%
Step-by-step explanation:
150/450 = .375 = 37.5%
The percentage is 150 grams out of 400 grams will be 37.5%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
The percentage is given as,
Percentage (P) = [Initial value - Final value] / Initial value x 100
It is given that the difference between the initial and final value is 15 grams and the initial value is 400 grams.
Then the percentage is 150 grams out of 400 grams will be
P = (150 / 400) x 100
P = 0.375 x 100
P = 37.5%
Thus, the percentage is 150 grams out of 400 grams will be 37.5%.
More about the percentage link is given below.
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Please hurry I will mark you brainliest
Step-by-step explanation:
I think you first have to calculate a°,this can be done by first finding c°
c°=180-125
=55°
opposite angles in a quadrilateral add up to 180
therefore a°=180-55
=125
therefore angle d
180-125
=55
I hope this helps
if x=-1 , y=1 and z =2 then find the value of. a . 2x+3y +4z b. 5x2 +3y2+7z2
Answer:
a.2×1= 2 + 3×1=3 +4×2=8 now we have to put this ans and the ans is 13.
b. 5×1×2=10 + 3×1×2=6+ 7×2×2=28 now also we have to put this ans and this ans is 13
3/4 + 4/7 + 3/4
plz help
Answer:
29/14
Step-by-step explanation:
Start by working out the LCM of these (or any common denominator). A common denominator for 4 and 7 is 28 cuz 4 x 7 = 28.
3/4 = 21/28
4/7 = 16/28
3/4 = 21/28
(21+16+21)/28 = 58/28 which can simplify to 29/14
hi
Golden rule : you can only add or substract fraction if and only if they have the same denominator.
so two solutions :
you see that one denominator is a multiple of the second. so you multiply all the fraction by this multiple.
ex : 1/3 + 5/6
here I can easely convert 1/3 into a fraction with 6 as 6 is 3x2.
so : 1x2 = 2 and 3x2 = 6
1/3 is 2/6
so. 1/3 +5/6 = 2/6 +5/6
fraction have same denominator, I add numerators : 2/6 +5/6 =7/6
if it not that evident, you multiply fraction A up and down by denominator of fraction B.
and you multiply up and down fraction B by denomonator of fraction A
let' s see with your exemle :
3/4 +4/7+3/4 = ?
first I add fraction with same denominator :
3/4+3/4+4/7 = 6/4 +4/7
fraction A is 6/4.
I multiply up and down by denominator fractiok B which is " 7"
so. 6/4 = 6x7/4×7 = 42/28
let's apply method to fraction B whixh is 4/7 . let' multiply up and down by denominator of fraction A which is " 4"
so : 4/7 = 4x4 /7x4 = 16/28
now we have :
6/4 +4/7 = 42/28 +16/28
both my fractions have same denominator "28" so I add numerator :
42/28 +16/28 = 58/28
Now must wonder if 58/28 can be simplify. Good trick is to decompose numbers, and in prime number is the best way to do
58 = 2x29
28 = 7x2x2
so 58/28= (2×29)/ (7x2x2)
when there is same number up and down I can cross it out .
so here one "2" up and down can be rule out
so 58/28 = 2x29 /7×2×2 = 29/7x2 =29/14
I can not symplify more, so calculus is over.
in short :
3/4+4/7+3/4 = 6/4+4/7
= 42/28 +16/28
=58/28
= 29/14
Which function is increasing?
Answer:
A, it's the only one with a number greater then 1
Simultaneous equation 2x-y=-1,x-2y=4 solve graphically
Answer:
y= - 1.4
x= 0.2
Step-by-step explanation:
2x-Y= -1
x-2y=4
Proof that :
[tex] {sin}^{2} \theta + {cos}^{2} \:\theta= 1[/tex]
Thx.
Answer:
Solution given:
Right angled triangle ABC is drawn where <C=[tex]\theta[/tex]
we know that
[tex]\displaystyle Sin\theta=\frac{opposite}{hypotenuse} =\frac{AB}{AC}[/tex]
[tex]\displaystyle Cos\theta=\frac{adjacent}{hypotenuse}=\frac{BC}{AC} [/tex]
Now
left hand side
[tex] \displaystyle {sin}^{2} \theta + {cos}^{2} \:\theta[/tex]
Substituting value
[tex](\frac{AB}{AC})²+(\frac{BC}{AC})²[/tex]
distributing power
[tex]\frac{AB²}{AC²}+\frac{BC²}{AC²}[/tex]
Taking L.C.M
[tex]\displaystyle \frac{AB²+BC²}{AC²}[/tex]....[I]
In ∆ABC By using Pythagoras law we get
[tex]\boxed{\green{\bold{Opposite²+adjacent²=hypotenuse²}}}[/tex]
AB²+BC²=AC²
Substituting value of AB²+BC² in equation [I]
we get
[tex]\displaystyle \frac{AC²}{AC²}[/tex]
=1
Right hand side
provedWhich of the following could be trigonometric functions of the same angle?
Answer:
i think
third option is correct.
cosY = 8 / 17, cotY = 8 / 15, secY = 17 / 8 is the required trigonometric functions of the same angle. Option C is correct
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
cosY = 8 / 17, cotY = 8 / 15, secY = 17 / 8
Is the trigonometric function of the same angle,
cosY = 1 / SecY
8 / 17 = 1 / secY
secY = 17 / 8
Now,
P = √[17² - 8²]
P = 15
CotY = 8 / 15
Thus, trigonometric functions in option C are of the same angle.
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what is the mass of raisins in a package
Answer:
Step-by-step explanation:
12
HELPPP!
Suppose that you head an insurance company. Your most popular insurance policy has a premium of $600 and a deductible of $1,000. This insurance policy provides your state’s minimum coverage of $30,000 for injury or death to one person, $50,000 for injury or death to two or more people, and $10,000 for damage to property, which is called 30/50/10 coverage. Assume that, on average, 2 of your 100 customers have an accident every year. One of the accidents causes damage to property and the other causes injury or death to one person. Both drivers file for the maximum claims
Now assume that you are one of the customers purchasing this popular insurance policy with the company. Considering only your premiums, deductible, and claims, what is the break-even period after which you could make a $10,000 claim for property damage without the insurance company suffering a loss? Explain your answer.
Considering only this customer's premiums, deductible, and claims, the break-even period after which the customer could make a $10,000 claim for property damage without the insurance company suffering a loss is 15 months.
At this break-even period, the company will not make a profit or a loss.
Data and Calculations:
Monthly insurance premium payable = $600 (assumed to be paid monthly)
Deductible on the insurance policy = $1,000
Minimum coverage = 30/50/10
Coverage for injury or death to one person = $30,000
Coverage for injury or death to two or more people = $50,000
Coverage for damage to property = $10,000
Average accidents every year = 2
Total claims cost to the insurance before deductibles = $40,000 ($30,000 + $10,000)
Break-even period = 15 ($10,000 - $1,000)/$600
This break-even period is computed by deducting the deductible from the claim that the customer makes, and then dividing the result by the monthly insurance premium.
Thus, the customer could make a $10,000 claim for property damage without the insurance company suffering a loss after 15 months' break-even period.
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