Answer: x = 52
Step-by-step explanation:
You'd first deal with the 4 outside the parentheses, multiplying 10x-20 by 4. This would result in 40x - 80 = 200.
You'd then further isolate x, adding 80 on both sides, resulting in 40x = 2080. Divide by 40 on both sides and You'd get your answer of x = 52.
find the equation of the median from b in ABC whose vertices are (1,5), B(5,3) and C(-3, -2)
Answer:
y = x + 6
x = 1
y = ¼(x - 5) + 3
Step-by-step explanation:
Vetices are;
A(1,5), B(5,3) and C(-3, -2)
Thus;
Median of AB is; D = (1 + 5)/2, (5 + 3)/2
D = (3, 4)
Median of BC is; E = (5 + (-3))/2, (3 + (-2))/2
E = (1, 0.5)
Median of AC is; F ; (-3 + 1)/2, (-2 + 5)/2
F = (-1, 1.5)
Thus, the median lines will be;
CD, AE & BF.
Thus;
Equation of CD is;
(y - (-3))/(x - (-2)) = (-2 - 4))/(-3 - 3)
(y + 4)/(x + 2) = -6/-6
y - 4 = 1(x + 2)
y = 4 + x + 2
y = x + 6
Equation of AE;
(y - 5)/(x - 1) = (0.5 - 5)/(1 - 1)
(y - 5)/(x - 1) = -4.5/0
Cross multiply to get;
0(y - 5) = -4.5(x - 1)
-4.5x = -4.5
x = 1
Equation of BF;
(y - 3)/(x - 5) = (1.5 - 3)/(-1 - 5)
(y - 3)/(x - 5) = -1.5/-6
(y - 3)/(x - 5) = 1/4
y - 3 = ¼(x - 5)
y = ¼(x - 5) + 3
Line A (y = 2x + 4) is transformed into
Line B (y = x-9). Which best describes
the new slope and y-intercept?
The slope is [ ? ],
and the line is shifted [?]
Answer:
the slope is flatter.
the line is shifted down by 13 units (or shifted by -13 units).
Step-by-step explanation:
the slope of a line is expressed by the ratio y/x defining how many units y changes, when x changes a certain amount of units.
the slope of A is 2 (factor of x) = 2/1.
and that means when x changes one unit, y changes 2 units.
the slope of B is 1 = 1/1.
when x changes 1 unit, y changes 1 unit. so, B is flatter (it does not climb up so fast).
and the constant numbers in the equations give us the offset of the lines in y direction for x=0.
A cuts the y-axis at y=+4, and B cuts it at y=-9.
so, B is shifted from A by 4 - (-9) = 13 units.
Answer:
steeper and upward.
Step-by-step explanation:
did it on acellus. dont listen to the other person they're wrong.
Which rate is equivalent to $800 per 40 hours?
Expand and simplify
3(4m - 3t)-2(m – 2t)
Answer:
10m-5t
Step-by-step explanation:
3(4m-3t) - 2(m-2t)
(12m - 9t) + (-2m+4t)
12m-2m - 9t+4t
10m-5t
Answer:
Step-by-step explanation:
3(4m - 3t) = 12m - 9t
-2(m - 2t) = -2m + 4t
Write the 2 terms together.
12m - 9t -2m + 4x
12m - 2m - 9t + 4t
10m - 5t
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 18, PL = 24, and WZ = 96, find the value of c.
A. 4
B.96
C.42
D.72
somebody can help me
Answer: c = 72
Step-by-step explanation:
You didn't tell us which segment has a length of c, but I'm assuming you meant WX because it corresponds to PA. If two figures are similar, we know that their side length are in proportion. With this, we can set up our proportion[tex]\frac{18}{24} =\frac{c}{96}[/tex] where c is the length of WX. By cross multiplying and dividing, you get 72 for the value of c.
2. Given: HM = VM, and ZH and cV Triangle congruence criteria,
are right angles.
Is AGHM = AUVM?
sss
SAS
ASA
AAS
HL
G
I
M
V
U
how much fat is in a mixture created with x pints of 8% butterfat and y pints of 15% butterfat
Answer:
Total mixture = (8x + 15y) / 100
Step-by-step explanation:
Butterfat x:
= 8% of x
= 8/100 * x
= (8 * x) / 100
= 8x / 100
Butterfat y:
= 15% of y
= 15/100 * y
= (15 * y) / 100
= 15y / 100
Total mixture = butterfat x + butterfat y
= 8x / 100 + 15y / 100
= (8x + 15y) / 100
Total mixture = (8x + 15y) / 100
Simplify the expression.
4 * 22 ÷ 2 + 2
Answer:
46
Step-by-step explanation:
4 * 22 ÷ 2 + 2
Multiply and divide from left to right
88 ÷ 2 + 2
44 +2
Add
46
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{4\times22}{2}+2}[/tex]
[tex]\mathsf{4\times22 = \bf 88}[/tex]
[tex]\mathsf{\dfrac{88}{2}+2}[/tex]
[tex]\mathsf{\dfrac{88}{2}=\bf 44}[/tex]
[tex]\mathsf{= 44 + 2}[/tex]
[tex]\mathsf{\bf = 46}[/tex]
[tex]\huge\checkmark\boxed{\huge\textsf{Possible answer \#1: \bf 46}}\huge\checkmark[/tex]
[tex]\huge\text{OR........}[/tex]
[tex]\mathsf{\dfrac{4\times2^2}{2}+2}[/tex]
[tex]\mathsf{2^2}[/tex]
[tex]\mathsf{= 2\times2}[/tex]
[tex]\mathsf{= \bf 4}[/tex]
[tex]\mathsf{= \dfrac{4\times4}{2}+2}[/tex]
[tex]\mathsf{4\times4}[/tex]
[tex]\mathsf{\bf = 16}[/tex]
[tex]\mathsf{= \dfrac{16}{2}+2}[/tex]
[tex]\mathsf{\dfrac{16}{2}}[/tex]
[tex]\mathsf{= \bf 8}[/tex]
[tex]\mathsf{= 8 + 2}[/tex]
[tex]\mathsf{\bf = 10}[/tex]
[tex]\huge\checkmark\boxed{\huge\textsf{Possible answer \#2: \bf 10}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the measure of b.
A. 110
B. 55
C. 75
D. 125
Answer:
B
Step-by-step explanation:
The central angle is twice the angle on the circumference, subtended on the same arc, then
a = 0.5 × 110° = 55° → B
the required measure of angle b inscribed in the circle is 125.
A figure is shown, in which a measure of b is to be determined.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²,
where h, k is the coordinate of the circle's center on a coordinate plane, and r is the circle's radius.
Since, As shown in the figure
the angle subtended by an arc on center is twice the angle subtended by the same are to the point of circumference corresponding point on the circle.
Angle b ,
2b = 360 - 110
2b = 250
b = 250/2
b = 125
Thus, the required measure of angle b inscribed in the circle is 125.
Learn more about circle here:
brainly.com/question/11833983
#SPJ5
A random sample of 13 teenagers were surveyed for a hypothesis test about the mean weekly amount spent on convenience goods. Researchers conduct a one-mean hypothesis test, at the 1% significance level, to test whether the average spent per week on convenience goods is greater than 50 dollars.
Answer:
Please find the complete question and the graph in the attached file.
Step-by-step explanation:
On the basis of the data,
The level of importance is [tex]\alpha = 0.01[/tex]
Freedom levels [tex]= n -1 = 13 -1 = 12[/tex]
For the right-tailed test, the critical value is [tex]t_c = 2.681[/tex]
(Partially t-table permitted [tex]\alpha = 0.01 \ and\ df =12[/tex])
please help asap !!
15. What postulate or theorem proves the two triangles congruent? Select the postulate or theorem and then select the correct congruence statement.
Answer:
triangle abc = acb
Step-by-step explanation:
ist right answer of this test
Answer:
triangle 1st one ABC=abc
Evaluate the following expression when x = -4 and y = 4.
Answer:
C.
[tex]{ \tt{ = \frac{ {x}^{6} - x }{4y} }} \\ = { \tt{ \frac{ {( - 4)}^{6} - ( - 4) }{4(4)} }} \\ = 256.25[/tex]
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{x^6-x}{4y}}[/tex]
[tex]\mathsf{= \dfrac{-4^6-(-4)}{4(4)}}[/tex]
[tex]\mathsf{-4^6}\\\mathsf{= -1\times 4\times4\times4\times 4\times4\times4}\\\mathsf{\mathsf{= \bf -4,096}}[/tex]
[tex]\mathsf{4\times4}\\\mathsf{= \bf 16}[/tex]
[tex]\mathsf{= \dfrac{-4,096- (-4)}{16}}[/tex]
[tex]\mathsf{-4,096-(-4)}\\\mathsf{= -4,096+4}\\\mathsf{= \bf -4,092}[/tex]
[tex]\mathsf{= \dfrac{-4,092}{16}}\\\\\\\large\textsf{REDUCE IT \& YOU HAVE YOUR ANSWER!}[/tex]
[tex]\mathsf{=\dfrac{-1,023}{4}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf -\dfrac{1,023}{4}}\huge\textsf{ (Option \bf D.)}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
help me with this math question
Answer: A. In 2015 there will be more seagulls than chickadees.
Step-by-step explanation: if you look at the chart you can see the seagull population keeps growing and the chickadee population keeps decreasing.
A supermarket sells milk in two sizes: 4-pint
cartons for 98p or 6-pint cartons for £1.46
Which one of these is the better value?
You must give a reason for your answer.
Find the unit rate by dividing price by total units:
0.98 / 4 pints = 0.245 per pint
1.46/ 6 pints = 0.243 per pint
The 6 pint size has a lower price per point so it is the better deal.
Answer: The second deal is cheaper (6 pints for £1.46)
======================================================
Explanation:
We'll need to convert all the money values to the same format. Either we make everything in terms of pence, or everything in terms of pounds. Otherwise, it's like comparing apples to oranges.
If we go with pence, then the £1.46 converts to 146 pence (multiply by 100).
The first deal is 4 pints for 98p, so the cost per pint is 98/4 = 24.5pThe second teal is 6 pints for 146p, so the unit cost here is 146/6 = 24.33p approximately.If we rounded each result to the nearest whole pence, then 24.5 rounds to 25 and 24.33 rounds to 24.
In summary, the unit costs for deals 1 and 2 are 25p and 24p in that order.
The second deal is cheaper by 1 pence per pint. In other words, you save about 1 pence for each pint purchased.
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔTUV
~ ____
Answer:
YES by SAS
triangle TUV is similar to triangle TLM
Step-by-step explanation:
The ratios of the sides
24/6 = 4
36/9 = 4
so the sides are similar
We know angle UTV = angle LTM because they are vertical angles
we have side included angle side
The triangles are similar by SAS ( side angle side)
triangle TUV is similar to triangle TLM
llahkdaclicka. ima answer this
Answer:
?
Step-by-step explanation:
I need help with this
Answer:
x = - 4
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the equation of the axis of symmetry is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = 2x² + 16x - 19 ← is in standard form
with a = 2, b = 16
Then the equation of the axis of symmetry is
x = - [tex]\frac{16}{4}[/tex] = - 4
Scarlett tried to shade all the factors of 15 on the hundred chart.What mistake did Scarlett make? A.Scarlett shaded the factors of 5 instead of the factors of 15. B.Scarlett did not make a mistake. C.Scarlett shaded the multiples instead of the factors of 15. D.Scarlett shaded 15, but factors are always less than the number.
Answer:
C. Scarlett shaded the multiples instead of the factors of 15
Step-by-step explanation:
Scarlett tried to shade all the factors of 15 on the hundred chart 15,45,75,30,60,90 What mistake did she make
She shaded 15,45,75,30,60,90 on the chart
Factors of 15 are 1, 3, 5 and 15
15, 45, 75, 30, 60, 90 are multiples of 15
That is,
15 × 1 = 15
15 × 3 = 45
15 × 5 = 75
15 × 2 = 30
15 × 4 = 60
15 × 6 = 90
Therefore Scarlett's mistake is:
C. Scarlett shaded the multiples instead of the factors of 15
PLS HELP!!!!
Determine the value of x.
A) 160°
B) 78°
C) 240°
D) 80°
Answer:
D) 80°
Step-by-step explanation:
(n - 2)180 = 4(180) = 720
78 + 134 + 136 + 132 + 2x + x = 720
3x + 480 = 720
3x = 240
x = 80
Answer:
The answer is D:80 degrees.
Step-by-step explanation:
Assume that the radius of the hydrogen nucleus is 1.4 · 10-15 meters. How much larger than the nucleus is the entire hydrogen atom? (Calculate the atomic radius for n = 1. Round answer to nearest tenth.)
________times larger than the nucleus.
(A). 3.8 x 10⁴
(B). 3.8 x 10¹⁴
(C). 3.8 x 10^-5
(15 points reward)
Answer:
A
Step-by-step explanation:
I did not look up the actual numbers, but it can only be A.
of course, the whole aim is larger than the nucleus, which is why C is impossible with its negative exponent (which would make the whole aim smaller than the nucleus).
and B. can't be true, because it is so big 10¹⁴ times bigger than a 10-¹⁵ atom ? this would make the whole atom the size of about 10-¹ meters. so, 10 cm. a single hydrogen atom would be bigger than a tennis ball. which it isn't.
so, that only leaves A.
What is the x-intercept of the line with equation 3y - 8x = 10? Represent your answer as a point in (x, y) form.
The solution is
Answer:
(-1.25, 0) or (-5/4, 0)
Step-by-step explanation:
The x-intercept is when y = 0, so let's plug 0 into the equation:
3(0) - 8x = 10
Now we use basic algebra to solve for x:
0 - 8x = 10
-8x = 10
x = -5/4 or -1.25
So the answer is (-1.25, 0) or (-5/4, 0).
Hope this helps (●'◡'●)
A 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript degree binomial with a constant term of 88
Answer:
See explanation
Step-by-step explanation:
A 3rd degree binomial with a constant term of 8
A binomial expression is an expression which has only terms such as: x² + 5
The degree of a polynomial is the term with the highest exponent on its variable.
Example: the expression above x² + 5
The exponent of variable, x is 2
So, it is a 2nd degree polynomial
We also have 1st degree polynomial where the highest exponent on the variable is 1
3rd degree polynomial where the highest exponent on the variable is 3
A 3rd degree binomial with a constant term of 8
1. There must be a variable, let say x
2. The highest exponent on the variable must be 3
3. There must be a constant 8
4. The expression must have two terms only
It could be x² + 8 where the coefficient of x is 1
2x² + 8
3x² + 8
It could take any form as long as the highest exponent on the variable is 3 and there are just two terms
Answer:
-5x^2+88
Step-by-step explanation:
The fence posts need to be painted Each post is round with a diameter of 50mm and length of 2.5m. The posts are hollow (no top or bottom) Now work out the surface area of a single fence post
Answer:
0.3927 m²
Step-by-step explanation:
Since a post is open at both ends, then it means it has no top nor bottom and as such the surface area is;
S.A = 2πrh
Where;
r is radius
h is height
We are given;
diameter; d = 50mm = 0.05 m
We know that; radius = diameter/2 = 0.05/2 = 0.025 m
Height; h = 2.5 m
Thus;
S.A = 2 × π × 0.025 × 2.5
S.A = 0.3927 m²
Students taking an online english test are randomly assigned 3 questions out of a set of 9 different questions. How many different sets of questions (i.e. tests) are possible for the students?
Answer:
2 sets I think
Step-by-step explanation:
what are the answer choices
Can someone help me with this math homework please!
Answer:
It's 2, 1, and y = 2x + 1.
Step-by-step explanation:
You can see the rise is 2 and the run is 1, making the slope = 2, and the y-intercept is 1 because that is where it crosses the y axis. Once you have the slope and y intercept, you can put it in a function, with the form being y=2x+1, the slope being the number before the x and the y-int value being after the x.
Answer:
1. 2
2. 1
3. y = 2x+1
Step-by-step explanation:
1. [tex]\frac{rise}{run}[/tex]
2. Where does the line cross the y-axis?
3. y = mx+b
m= slope
b = y-intercept
help me plz i will give you brainlist plzzzzz i beg you
Answer:
Solution given:
[tex]\bold{4*3^{x+1}-9^{x}=27}[/tex]
let 3^xbe a
4*a*3-a²=27
a²-12a+27=0
a²-9a-3a+27=0
a(a-9)-3(a-9)=0
(a-9)(a-3)=0
either
a=9
3^x=3²
:.x=2
or
a=3
3^x=3^1
x=1
x=2,1
this is a geometry question, i need something quickly :)
Answer:
hope it helps mark me brainlieast!
Step-by-step explanation:
For triangle ABC with sides a,b,c labeled in the usual way,
c2=a2+b2−2abcosC
We can easily solve for angle C .
2abcosC=a2+b2−c2
cosC=a2+b2−c22ab
C=arccosa2+b2−c22ab
That’s the formula for getting the angle of a triangle from its sides.
The Law of Cosines has no exceptions and ambiguities, unlike many other trig formulas. Each possible value for a cosine maps uniquely to a triangle angle, and vice versa, a true bijection between cosines and triangle angles. Increasing cosines corresponds to smaller angles.
−1≤cosC≤1
0∘≤C≤180∘
We needed to include the degenerate triangle angles, 0∘ and 180∘, among the triangle angles to capture the full range of the cosine. Degenerate triangles aren’t triangles, but they do correspond to a valid configuration of three points, namely three collinear points.
The Law of Cosines, together with sin2θ+cos2θ=1 , is all we need to derive most of trigonometry. C=90∘ gives the Pythagorean Theorem; C=0 and C=180∘ give the foundational but often unnamed Segment Addition Theorem, and the Law of Sines is in there as well, which I’ll leave for you to find, just a few steps from cosC= … above. (Hint: the Law of Cosines applies to all three angles in a triangle.)
The Triangle Angle Sum Theorem, A+B+C=180∘ , is a bit hard to tease out. Substituting the Law of Sines into the Law of Cosines we get the very cool
2sinAsinBcosC=sin2A+sin2B−sin2C
Showing that’s the same as A+B+C=180∘ is a challenge I’ll leave for you.
In Rational Trigonometry instead of angle we use spreads, squared sines, and the squared form of the formula we just found is the Triple Spread Formula,
4sin2Asin2B(1−sin2C)=(sin2A+sin2B−sin2C)2
true precisely when ±A±B±C=180∘k , integer k, for some k and combination of signs.
This is written in RT in an inverted notation, for triangle abc with vertices little a,b,c which we conflate with spreads a,b,c,
(a+b−c)2=4ab(1−c)
Very tidy. It’s an often challenging third degree equation to find the spreads corresponding to angles that add to 180∘ or zero, but it’s a whole lot cleaner than the trip through the transcendental tunnel and back, which almost inevitably forces approximation.
Someone help me please
Answer:
The x intercept is (-7.5,0) and the y-intercept is (0,5.5)
In the given figure AOB is a straight line find the value of x.
Please tell the correct answer..
Answer:
2x+5x+3x=180°
10x=180°
x=180/10
x=18° ans..
Answer:
18
Step-by-step explanation:
Sum of angles in a straight line is 180,
2x + 5x + 3x = 180
10x = 180
x = 180 / 10
x = 18
25)
Jackson's current salary is $36,000 per year. Each year his salary is 1.04 times the previous yeal's salary. What
will his salary be in his 5th year?
OA) $42,214.92
OB) $42,114.91
Answer:
$43,799.50
Step-by-step explanation:
USing the formula:
A = P(1+r)ⁿ
n is the time = 5
1 + r = 1.04
P = 36,000
Substitute the values into the formula
A = 36000(1.04)⁵
A = 36,000(1.2166529024)
A = 43,799.50
Hence the value in the fifth year will e $43,799.50
