draw the graph of the equation x+y=5and find the points were the line meets the x axis and y axis
Answers
Answer:
Use a graphing calculator.
Step-by-step explanation:
How to solve without a graphing calculator (if it's not allowed):
1) convert x+y= 5 to slope-intercept form. (right now it's in standard form.) We can do this by solving for y.
x+y=5 (subtract x from each side), y= -x +5
2) graph by hand using y=mx+b. From our equation, we can see that m= -1 and b=5. So, graph starting at 5, and go down one, over one, as far as you need to be able to draw the line through your points. Now, you can see that the y-intercept is 5 and the x-intercept is 5.
Related Questions
The graph of f(x) =7x is reflected across the x-axis. write a function g(x) to describe the new graph. G(x)=___
Answers
To reflect a function across the x axis, we just stick a negative in front. This will make all point's y coordinates to go from positive to negative or vice versa. If the original function already has a negative out front, then remove it.
It is given that trapezoid EFGH is an isosceles trapezoid. We know that FE ≅ GH by the definition of
. The base angle theorem of isosceles trapezoids verifies that angle
is congruent to angle
. We also see that EH ≅ EH by the
property. Therefore, by
, we see that ΔFHE ≅ ΔGEH.
Answers
The solution is ΔFHE ≅ ΔGEH. [SAS], i.e. triangle FHE is similar to triangle GEH, by SAS rule.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Given: An Isosceles trapezoid EFGH in which EF =GH
To prove: ΔFHE ≅ ΔGEH
Proof: In Isosceles trapezoid EFGH, Considering two triangles ΔFHE and ΔGEH
1. FE ≅ G H → [ Given]
2. ∠H = ∠E
→ Draw GM⊥HE and FN ⊥EH, and In Δ GMH and ΔFNE,
GH=FE [Given]
∠M+∠N=180°
so, GM║FN and GF║EH, So GFMN is a rectangle.]
∴ GM =FN [opposite sides of rectangle]
∠GMH = ∠FNE [ Each being 90°]
Δ GMH ≅ ΔFNE [ Right hand side congruency]
→∠H =∠E [CPCT]
→ Side EH is common i.e EH ≅ EH .
→ΔFHE ≅ ΔGEH. [SAS]
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8. Solve for the given variable in the following equations. (4 marks total)
i’m confused on questions C) and D) I put it into Photomath and it came out with a bunch of weird and complicated letters and I’m only in grade 9 so I don’t think that’s the answer.
please solve C) and D) and check if I correctly solved A) and B) THANK YOU
Answers
Step-by-step explanation:
cV= π*r²*h
V/π = r²*h
v/(π*r²) = h
d[tex]\frac{x+y}{3}[/tex] = 5
x+y = 15
x = 15-y
I need help please answer quick
Answers
Answer:
c/3, the sequence is NOT geometric because 2/3 was added to each term to get the next term.
Step-by-step explanation:
geometric sequences are multiplying, arithmetic sequences are addition.
1/3
1/3+2/3= 1 (or 3/3)
3/3+2/3= 5/3
5/3+2/3= 7/3
this is arithmetic, not geometric
Circle A has radius 5, and Circle B has radius 2. If CD = 12 and is a common
tangent, what is AB?
Answers
Answer:
[tex]3\sqrt{17}$ or \approx 12.37$ Units[/tex]
Step-by-step explanation:
In the attached diagram
CA=CO+OA
CO=DB
Therefore:
5=2+OA
OA=3 Units
The angle between a tangent line and a radius is 90 degrees. therefore triangle OAB is a right triangle with:
OB=12 units
OA=3 units
Using Pythagoras theorem
[tex]AB=\sqrt{3^2+12^2}\\ =\sqrt{153}\\=3\sqrt{17}$ or \approx 12.37$ Units[/tex]
What is an equation to a line parallel to the line on the graph that passes through (4,15)?
Answers
The equation to a line parallel to the line on the graph that passes through (4,15) is y = 3x + 3
How to find equation of a line?The equation of a line can be represented as follows;
y = mx + b
where
m = slopeb = y-interceptTherefore,
parallel line have the same slope
(5, 35)(10, 50)
m = 50 - 35 / 10 - 5 = 15 / 5 = 3
Hence,
(4, 15)
y = 3x + b
15 = 3(4) + b
15 - 12 = b
b = 3
Therefore, the equation to a line parallel to the line on the graph that passes through (4,15) is y = 3x + 3
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What is 25% of 84.
Help ASAP
Answers
Answer:
21
Step-by-step explanation:
[tex] \frac{25}{100} \times 84[/tex]
Answer:
21
Step-by-step explanation:
There are 100 sophomores at a school. 85% of them are good students. What would the percent of good students be at school if (round the answer up to the nearest ones) ten “F” students would come to this school?
Answers
Answer: subtract 85 with a hundred because you are trying to see how many students out of 100% are good students after that you should get your answer
Step-by-step explanation:
Answer:
77% (rounded)
Step-by-step explanation:
1. Find 85% of 100
100 x 0.85 = 85
SO 85 students out of 100 students are good students.
2. Add the 10 more students to the total number.
100 + 10 = 110 total students
3. Find the percent of good students in the total number of current students.
85/110 = 0.77 * 100 (to convert to percent) = 77%
Which equation describes a parabola that opens left or right and whose
vertex is at the point (h, v)?
A. y = a(x - 1)2 + 1
B. x = aly - y)2 + h
C. x = aly - h)2 + V
O D. y = a(x - h)2 + V
Answers
Answer:
B. x = a(y - v)^2 + h
Step-by-step explanation:
The basic equation is ...
x = f(y)
x = y^2
To translate the vertex from (0, 0) to (h, v), we replace x with (x-h) and y with (y-v). Now, we have ...
x -h = (y -v)^2
To scale the graph horizontally by a factor of "a", we multiply the right side by "a":
x -h = a(y -v)^2
Adding h gives the form you want to compare to the answer list:
x = a(y -v)^2 +h
_____
The attachment shows an example for (h, v) = (4, 3).
Answer:
B
Step-by-step explanation:
Hopefully this helps :)
Problem P(x)=x4−3x2+kx−2P(x)=x^4-3x^2+kx-2P(x)=x4−3x2+kx−2P, left parenthesis, x, right parenthesis, equals, x, start superscript, 4, end superscript, minus, 3, x, squared, plus, k, x, minus, 2 where kkkk is an unknown integer. P(x)P(x)P(x)P, left parenthesis, x, right parenthesis divided by (x−2)(x-2)(x−2)left parenthesis, x, minus, 2, right parenthesis has a remainder of 10101010. What is the value of kkkk? K=k=k=
Answers
Answer: k = 4
Step-by-step explanation:
For this division, to determine the value of k, use the Remainder Theorem, which states that:
polynomial p(x) = dividend (x-a) * quotient Q(x) + remainder R(x)
Knowing the degree of quotient is
degree of Q = degree of p(x) - degree of (x-a)
For this case, Q(x) is a third degree polynomial.
Using the theorem:
[tex]x^{4}-3x^{2}+kx-2 = (x-2)(ax^{3}+bx^{2}+cx+d) + 10[/tex]
[tex]x^{4}-3x^{2}+kx-2 = ax^{4} + x^{3}(b-2a)+x^{2}(c-2a)+x(d-2c)-2d+10[/tex]
a = 1
b - 2a = 0 ⇒ b = 2
c - 2b = -3 ⇒ c = 1
-2d + 10 = -2 ⇒ d = 6
d - 2c = k ⇒ k = 4
Therefore, k = 4 and Q(x) = [tex]x^{4} -2x^{2} + 4x + 2[/tex]
what is 25 (10 + 50) - 25?
Answers
Answer:
Hey there!
25(10+50)-25
25(60)-25
1500-25
1475
Hope this helps :)
Answer:
The answer is
1475Step-by-step explanation:
25 (10 + 50) - 25
Expand
250 + 1250 - 25
Simplify
We have the final answer as
1475
Hope this helps you
Erin buys 3 packs of potatoes costing £2 each, 4 packs of carrots for £2 per pack, and 4 turnips costing 90p each. If she pays with a £20 note, how much change would she get in pounds, £?
Answers
Answer: £2.4
Step-by-step explanation:
From the question, Erin buys 3 packs of potatoes costing £2 each, 4 packs of carrots for £2 per pack, and 4 turnips costing 90p each.
Total cost of potatoes = 3 × £2 = £6
Total cost of carrots = 4 × £2 = £8
Total cost of turnips = 4 × 90p = £360p = £3.6
The total cost of things bought by Erin will now be:
= £6 + £8 + £3.6
= £17.6
If she pays with a £20 note, she will collect a change of:
= £20 - £17.6
= £2.4
= 2 pounds, 40 pennies.
Of the 500 U.S. states, 4 have names that start with the letter W, What percentage of U.S. states have names that start with the lette W
Answers
Answer:
8%
Step-by-step explanation:
4/50 = 0.08, which is 8%
If 500 is not a typo, then 4/500 = 0.008, which would be 0.8%
Answer: 8%
Step-by-step explanation: 4/50 = 0.08 Convert the decimal to a percentage. 0.08 = 8%
Calculate the slope of the line going through A(-4,3) and B(0,6) PLEASE ANSWER
Answers
Answer:
6-3/0-(-4)
=3/4
Step-by-step explanation:
Given two points of a line to find the slope, we use the formula.y2-y1/x2-x1 hence the answer above. Our xs are x2=0 x=-4 y2=6 y1=3
2/3 - 5bx = bx + 1/3 In the equation shown above, b is a constant. For what value of b = NO SOLUTIONS? A. 5 B. 0 C. -5 D. 2/5
Answers
Answer:
B
Step-by-step explanation:
Here, we want to know at what values of b does the equation becomes not solvable
Now looking at the left hand side, we have;
2/(3-5bx) and also the right hand side bx + 1/3
For this expression if we insert b = 0, then automatically x cancels out on both sides of the equation and we shall be left with nothing to solve
Answer:
−5
Step-by-step explanation:
First, we observe that this is a linear equation.
A linear equation in one variable will have no solutions if the equation reduces to an equation of the form:
\blue a x+\red b=\blue c x + \red dax+b=cx+dstart color #6495ed, a, end color #6495ed, x, plus, start color #df0030, b, end color #df0030, equals, start color #6495ed, c, end color #6495ed, x, plus, start color #df0030, d, end color #df0030
where \blue a=\blue ca=cstart color #6495ed, a, end color #6495ed, equals, start color #6495ed, c, end color #6495ed and \red b\neq \red db
=dstart color #df0030, b, end color #df0030, does not equal, start color #df0030, d, end color #df0030.
In this case, the equation will reduce to the statement \red b=\red db=dstart color #df0030, b, end color #df0030, equals, start color #df0030, d, end color #df0030, which is not true for any value of xxx.
Hint #2
Since \red {\dfrac23}\neq \red {\dfrac13}
3
2
=
3
1
start color #df0030, start fraction, 2, divided by, 3, end fraction, end color #df0030, does not equal, start color #df0030, start fraction, 1, divided by, 3, end fraction, end color #df0030 , the equation will have no solutions if \blue b=\blue {-5}b=−5start color #6495ed, b, end color #6495ed, equals, start color #6495ed, minus, 5, end color #6495ed.
Let's check that this is the case. If we add \blue {5}{x}5xstart color #6495ed, 5, end color #6495ed, x to both sides, we get
\begin{aligned} \red{\dfrac23}\blue{-5}x&= \blue{-5} x+\red{\dfrac13}\\\\ \red{\dfrac23}\blue{-5}x+\blue5x&= \blue{-5}x+\blue{-5}x+\red{\dfrac13} \\\\ \red{\dfrac23}&=\red{\dfrac13} \end{aligned}
3
2
−5x
3
2
−5x+5x
3
2
=−5x+
3
1
=−5x+−5x+
3
1
=
3
1
which is not true for any value of xxx, so there are no solutions.
For all other values of b,b,b, comma there will be one solution.
Hint #3
If b=-5b=−5b, equals, minus, 5, the equation will have no solutions.
please help meeeeeee!
Answers
Answer:
2x^2+x-1/x^2-1
x^2+11x+18/x^2-11x+18
2x^2-5x+3/x^2+4x+3
Step-by-step explanation:
1.2 and 5
Please answer this in two minutes
Answers
Explanation:
Triangles HIG and FED are similar triangles. We know this because we have two pairs of angles that are congruent (angle G = angle D; angle I = angle E). Use the AA (angle angle) similarity theorem.
Since angles G and D are congruent, computing sin(D) is equivalent to finding sin(G)
sin(angle) = opposite/hypotenuse
sin(G) = IH/HG
sin(G) = 77/85
sin(D) = 77/85
Consider the following polynomial.
X^3 -6x^2 + 49x -294
Write the equivalent factored form of the polynomial. Fill in the expression with the values of a, b and where a is an integer and band
care complex numbers.
Answers
Answer:
The equivalent factored form of this equation is (x² + 49)(x - 6)
Step-by-step explanation:
x³ - 6x² + 49x - 294
First, group the first and second terms together and group the last two terms together.
(x³ - 6x²) + (49x - 294)
Find the greatest common factor of both parentheses and factor them.
x²(x - 6) + 49(x - 6)
Now, since the two terms in the parentheses are the same, then we have factored the equation correctly.
So, the factored form of the equation is (x² + 49)(x - 6)
Answer:(x-6)(x+7i)(x-7i)
Step-by-step explanation:
(x-6)(x^2+49)=(x-6)(x^2-(-49)
(x-6)(x^2-(7i)^2)
(x-6)(x+7i)(x-7i)
Need help solving. Prefer you show each step in solving.
Answers
Answer:
AB║CD and AD║BC
Step-by-step explanation:
By the property of a parallelogram,
" Consecutive angles of a parallelogram are supplementary"
In the figure attached,
∠DCB and ∠CDA are the supplementary angles. Therefore ABCD will be a parallelogram.
[Given: m(∠DCB) + m(∠CDA) = 180°]
And the pair of opposite sides of the parallelogram ABCD will be parallel.
AD║BC and AB║CD
The graph of a quadratic function is represented by the table.
Х
f(x)
6
-2
7
4
8
6
9
4
10
-2
What is the equation of the function in vertex form?
Substitute numerical values for a, h, and k.
Answers
Answer:
The equation of the function in vertex form is f(x) = -2·(x - 8)² + 6
Step-by-step explanation:
The given values are
x, f(x)
6, -2
7, 4
8, 6
9, 4
10, -2
The equation of the function in vertex form is given as follows;
f(x) = a × (x - h)² + k
To find the values of a, h, and k, we proceed as follows;
When x = 6, f(x) = -2
We have;
-2 = a × (6 - h)² + k = (h²-12·h+36)·a + k.............(1)
When x = 7, f(x) = 4
We have;
4 = a × ( 7- h)² + k = (h²-14·h+49)·a + k...........(2)
When x = 8, f(x) = 6...........(3)
We have;
6 = a × ( 8- h)² + k
When x = 9, f(x) = 4.
We have;
4 = a × ( 9- h)² + k ..........(4)
When x = 10, f(x) = -2...........(5)
We have;
-2 = a × ( 10- h)² + k
Subtract equation (1) from (2)
4-2 = a × ( 7- h)² + k - (a × (6 - h)² + k ) = 13·a - 2·a·h........(6)
Subtract equation (4) from (2)
a × ( 9- h)² + k - a × ( 7- h)² + k
32a -4ah = 0
4h = 32
h = 32/4 = 8
From equation (6) we have;
13·a - 2·a·8 = 6
-3a = 6
a = -2
From equation (1), we have;
-2 = -2 × ( 10- 8)² + k
-2 = -8 + k
k = 6
The equation of the function in vertex form is f(x) = -2·(x - 8)² + 6
Answer:
f(x) = -2(x - 8)² + 6
Step-by-step explanation:
I did the test.
A marble is randomly selected from a bag. The probability of selecting a marble with dots on it is 0.2. The probability of selecting a marble that is both purple and has dots on it is 0.1. What is the probability of selecting a purple marble given that the marble has dots on it? Enter your answer as a decimal in the box.
Answers
Answer:
0.5
Step-by-step explanation:
Let D be the event of selecting a marble with dots.
Let P be the event of selecting a purple marble.
The probability of selecting a marble with dots, P(D)=0.2
The probability of selecting a marble that is both purple and has dots, [tex]P(D \cap P)=0.1[/tex]
We want to determine the probability of selecting a purple marble given that the marble has dots on it, P(P|D)
By the definition of conditional probability:
[tex]P(P|D)= \dfrac{P(P \cap D)}{P(D)} \\= \dfrac{0.1}{0.2}\\ =0.5[/tex]
The probability of selecting a purple marble given that the marble has dots on it is 0.5.
5 3/4 divided by 1 1/2
Answers
Answer:
[tex] \frac{23}{6} [/tex]Solution,
[tex]5 \frac{3}{4} \div 1 \frac{1}{2} [/tex]
Convert the mixed number to an improper fraction
[tex] \frac{23}{4} \div \frac{3}{2} [/tex]
To divide by a fraction, multiply by the reciprocal of that fraction
[tex] \frac{23}{4} \times \frac{2}{3} [/tex]
Reduce the numbers with the GCF 2
[tex] \frac{23}{2} \times \frac{1}{3} [/tex]
Multiply the fraction
[tex] \frac{23}{6} [/tex]
Hope this helps...
Good luck on your assignment...
Pls answer this question....
Answers
Answer:
2310cm³
Step-by-step explanation:
volume= πr²h
22/7× radius of circle × height
circumference= πd
44cm=22/7×d, diameter= 7 cm, radius= 3.5cm
v= 22/7× 3.5× 21 = 2310cm³
Janet has six candy bars she will split it into 2/3 size pieces. How many 2/3 size pieces will she get?
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
9 pieces
▹ Step-by-Step Explanation
6 ÷ 2/3 → 6 x 3/2
18/2 = 9
9 pieces
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: 9 2/3 size pieces
Step-by-step explanation:
Simply divide 6 by 2/3 to get 9.
if y=2x+7 were changed to y=5x+7, how would the graph of the new function compare with the origial
Answers
Answer:
The new line is steeper than the original, but still crossing the y=axis at 7 .
Step-by-step explanation:
Since what has changed from y = 2 x + 7 going into y = 5 x + 7 is the slope of the linear function, (from 2 to 5) what one would notice is that the new line is steeper - raising 5 units every one unit ste to the right- but would still be intersecting the y-axis at the point (0, 7), since the y-intercept has not changed.
A line goes through points (0, 3) and (6, 12). What would be the slope of this line's perpendicular bisector?
Answers
Answer:
the slope of the perpendicular bisector is -2/3
Step-by-step explanation:
The slope of the line joining the two points P1(0,3), P2(6,12) is given by
m1 = (y2-y1) / (x2-x1) = (12-3) / (6-0) = 9/6 = 1.5
The slope m2 of a line perpendicular to the previous line is given by
m1*m2 = -1
solving
m2 = -1/m1 = -1/ (3/2) = -2/3
THerefore the slope of the perpendicular bisector is -2/3
Help ASAP please .
Which expression represents the volume of the sphere,
in cubic units?
3/4pi(6)^2
4/3pi(6)^3
3/4pi(12)^2
4/3pi(12)^3
Answers
Answer:
second option
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex] πr³ ( where r is the radius )
Here r = 6 , thus
V = [tex]\frac{4}{3}[/tex]π(6)³
Answer:
Second option
Step-by-step explanation:
Volume of a sphere = [tex]\frac{4}{3}*\pi *r^{3}[/tex]
→ Substitute in the value of radius
Volume of a sphere = [tex]\frac{4}{3}*\pi *6^{3}[/tex]
The Vance family is saving money to buy a new car that costs $12,000. They plan to save $715 per month (m), and they have already saved $645. Which of the following inequalities show the number of months (m) the Vance family could save in order to buy the new car? Select all that apply. A. 715m≥11,355 B. 715m≤11,355 C. 12,000≤715m+645 D. 12,645≤715m
Answers
Answer:
C. 12,000≤715m+645
Step-by-step explanation:
You want to have either equal to or more than 12,000
Answecr:
C
Step-by-step explanation:
help me again pleasee :(
Answers
Square = 12*12= 144m2
Triangle = 1/2 * 8*12= 48m2
Total area = 144+48=192m2
Price of weed killer needed for 1m = 19.75 divided by 100
= 0.1975
Weed killer needed for 92m2 = 0.1975*92=18.17
Weed killer needed for the whole land 19.75+18.17= £37.92
Wing
Find the area of the
parallelogram:
3 cm
5 cm
4.5 cm
A= [?] cm
Answers
Answer:
13.5 cm^2Given,
Base(b)= 4.5 cm
Height(h)= 3 cm
Now,
Area of parallelogram= base * height
= 4.5 * 3
=13.5 cm^2
Hope this helps...
Good luck on your assignment...
Answer:
[tex]\boxed{\red{13.5 {cm}^{2} }}[/tex]
Step-by-step explanation:
[tex]\blue{area \: \: of \: \: a \: \: parallelogram} \\ \pink{= base \times height} \\ \green{= 4.5cm \times 3cm} \\ \purple{= 13.5 {cm}^{2} }[/tex]