The midpoint of SR is M(5,-2). One endpoint is S(-1,3).
Find the coordinates of endpoint R.
A. R(11,–7)
B. R(2, 1)
C. R(
6-5)
D. R(2,0.5)
wer 1.
Answers
Answer:
The answer is A
Step-by-step explanation:
Midpoint formula: (x1 + x2) / 2, (y1 + y2) / 2
In this case, we already have the midpoint, so one of the x and one of the y values are unknown, whereas the sum is not.
(-1 + x) / 2 = 5, (3 + y) / 2 = -2
For both equations multiply both sides by 2
-1 + x = 10, 3 + y = -4
x = 11, y = -7
Rewrite as coordinates.
(11, -7)
Related Questions
what is the domain of the function
Answers
Answer:
(-∞,20}
Step-by-step explanation:
Use the commutative property to reorder the terms.
Separate the function into parts to determine the domain of each part
The domian of a rational function are all values of x which the denominator is different than 0
Find the intersection
How do I explain this??
Answers
Answer:
No
Step-by-step explanation:
The x-axis shows Craig's pitch speed in miles per hour.
The highest speed he did was between 70 to 75 mph. Craig's doesn't specify the speed in the histogram, so we can only be sure that Craig's fastest is between 70 to 75 mph.
Find the perimeter. Simplify your answer.
6+3
6+3
80-3
Answers
(6u+3)+(6u+3)+(8u-3)
=6u+3+6u+3+8u-3
=20u+3
SImplify the expression below:
Answers
Answer:
8x^2 +10x -5
Step-by-step explanation:
you'll multiply the second expression by -1, and you'll get +8x-9, add both expressions together and your final answer will be 8x^2 +10x -5
Which of the following numbers is irrational? A. V50 B. V169 C. 736 D. 225
Answers
A. √50 = 5√2 ≈ 7,07107
B. √169 = √13² = 13
C. 736
D. 225
The sun is 1.5 x 10^11 m from earth.
Express this distance with an SI prefix.
Answers
Answer:
First, we write the SI prefixed. The SI unit for distance is meters.
Kilo = 10³
Mega = 10⁶
Giga = 10⁹
Terra = 10¹²
Because our value has ten to the power of 11, we will use the closest and lowest power prefix, which is giga.
1.5 x 10¹¹ / 10⁹
= 1.5 x 10² Gm or 150 Gm
Writing in kilometers, we simply repeat the procedure except we divide by 10³ this time.
1.5 x 10¹¹ / 10³
= 1.5 x 10⁸ km
Step-by-step explanation:
First, we write the SI prefixed.
The SI unit for distance is meters.
Kilo = 10³
Mega = 10⁶
Giga = 10⁹
Terra = 10¹²
Because our value has ten to the power of 11, we will use the closest and lowest power prefix, which is giga.
1.5 x 10¹¹ / 10⁹
= 1.5 x 10² Gm or 150 Gm
Little more explanation : In scientific notation, if the exponent of 10 is positive, the number is very very large. In the metric system, very large numbers are expressed in megameters (Mm) or gigameters (Gm). Gigameters is equal to 10⁹ meters. So, in SI prefix, that would be equal to 150 Gm. In kilometers, that would be equal to:
1.5×10¹¹ m * (1 km/1000 m) = 1.5×10⁸ km
Ref: Web
how many 2/3 cup servings are there in 6 cups of fruit
Answers
Answer:
9 cups
Step-by-step explanation:
6 ÷ 2/3
6/1 ÷ 2/3
6/1 x 3/2 = 18/2 = 9/1 = 9
The product of a complex number and its complex conjugate is
a real number.
Answers
Answer:
Always
Step-by-step explanation:
I know this question is 3 weeks old, but for people in the future who need the answer.
s = ut +1at^2, solve for a
Answers
[tex]s = ut + \frac{1}{2} a {t}^{2} \\ \\ \frac{1}{2} a {t}^{2} = s - ut \\ \\ a = (s - ut) \: \div (\frac{1}{2} {t}^{2}) \\ \\ a = (s - ut) \: \times ( \frac{2}{ {t}^{2} } ) \\ \\ a = \frac{2s - 2ut}{{t}^{2}} \\ \\ a = \frac{2s}{{t}^{2}} - \frac{2ut}{{t}^{2}} \\ \\ \\ a = \frac{2s}{{t}^{2}} - \frac{2u}{t} [/tex]
I hope I helped you^_^
Consider a triangle ABC like the one below. Suppose that A=121° C = 25°, and a=64. (The figure is not drawn to scale.) Solve the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
Answers
Answer:
4
Step-by-step explanation:
i need points bro
Which expression is equivalent to 4^7/8 /4^1/4? Choose One answer only
A. 4^5/8
B. 4^9/8
C. 4^6/4
D. 4^8/12
Answers
Answer:
Option(A) [tex]4^{\frac{5}{8}}[/tex] is equivalent to [tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]
Step-by-step explanation:
Given:
[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]
To simplify the expression
Using the exponent rule,
[tex]$\frac{x^{a}}{x^{b}}=x^{a-b}$[/tex]
[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex][tex]=4^{\frac{7}{8}-\frac{1}{4}}[/tex]
[tex]=4^{\frac{5}{8}}[/tex]
The correct answer option is (A) [tex]4^{\frac{5}{8}}[/tex]
Learn more about Exponent rule, refer:
https://brainly.com/question/4431222https://brainly.com/question/13277609Billy had a farm with chickens, goats and cows. He wanted to know how many animals he had altogether, so he placed them in groups. he realised that he had 200 animals with 4 legs and 70 animals with 2 legs. if the no. of cows was 1/3 of the no of goats. how many cows are on the farm?
Answers
Answer:
190 goats
33 cows
70 chickens
Please help me with number 4.
Answers
Use coordinate notation to enter the rule that maps each preimage to its image. Then ic
transformation and confirm that it preserves length and angle measure.
A(-5,5) ► A'(5,5)
B(-2,2) B'(2, 2)
C(-3,2) → C'(2,3)
The transformation is a rotation of ?
(x,y) →
° clockwise about the origin given by the rules
6
5
Answers
Coordinate geometry is the use of a 2D plane to represent points.
The transformation is a rotation of 270 degrees clockwiseThe transformation preserves length because the length of the image and preimage are the sameThe transformation preserves angles because the angles of the image and preimage are the sameGiven that:
[tex]A = (-5,5) \to A' = (5,5)[/tex]
[tex]B = (-2,2) \to B' = (2, 2)[/tex]
[tex]C = (-3,2) \to C' = (2,3)[/tex]
By observing the pattern of transformation, the rule is:
[tex](x,y) \to (y,-x)[/tex]
Hence, the transformation is a rotation of 270 degrees clockwise
The length is calculated using the following distance formula:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
So, we have:
[tex]AB = \sqrt{(-5 - -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]
[tex]BC = \sqrt{(-2 - -3)^2 + (2 - 2)^2} =1[/tex]
[tex]AC = \sqrt{(-5 - -3)^2 + (5 - 2)^2} =\sqrt{13[/tex]
And
[tex]A'B' = \sqrt{(5 -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]
[tex]B'C' = \sqrt{(2 - 2)^2 + (2 - 3)^2} =1[/tex]
[tex]A'C' = \sqrt{(5 - 2)^2 + (5 - 3)^2} =\sqrt{13[/tex]
By comparing the lengths of the image and the preimage, we can conclude that the transformation preserves length.
The measure of the angles is calculated as follows:
[tex]a^2 = b^2 + c^2 -2ab \cos A[/tex]
So, we have:
[tex]18 = 1 + 13 -2 \times 1 \times \sqrt{13} \cos C[/tex]
[tex]18 - 1 - 13= -2 \times 1 \times \sqrt{13} \cos C[/tex]
[tex]4= -2 \times 1 \times \sqrt{13} \cos C[/tex]
[tex]-2= \sqrt{13} \cos C[/tex]
Make cos C the subject
[tex]\cos C = -0.5547[/tex]
[tex]C = cos^{-1}(-0.5547)[/tex]
[tex]C = 124^o[/tex]
Also, we have:
[tex]\frac{a}{\sin A} =\frac{c}{\sin C}[/tex]
So, we have:
[tex]\frac{1}{\sin A} =\frac{\sqrt{18}}{\sin( 124)}[/tex]
[tex]\frac{1}{\sin A} =5.1175[/tex]
Rewrite as:
[tex]\sin A = \frac{1}{5.1175}[/tex]
[tex]\sin A = 0.1954[/tex]
[tex]A = \sin^{-1}(0.1954)[/tex]
[tex]A = 11^o[/tex]
Also, we have:
[tex]A + B + C = 180^o[/tex] --- sum of angles in a triangle
[tex]11 + B + 124 = 180^o[/tex]
Collect like terms
[tex]B = 180 -11 - 124[/tex]
[tex]B = 45[/tex]
Hence:
[tex]\angle A = 11[/tex] [tex]\angle B = 45[/tex] and [tex]\angle C = 124[/tex]
Read more about coordinate geometry at:
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A toymaker was making trucks to sell in his
shop. He made three times as many four-
wheeled trucks as six-wheeled trucks,
He used 54 wheels altogether
How many four-wheel and
siy-wheel trucks did he make?
Answers
Answer: 9 Four Wheel and 3 6 Wheel Trucks
Step-by-step explanation:
Let FW be the four-wheel trucks and SW the six-wheel trucks.
Total wheels is 4*FW + 6*SW and is equal to 54 wheels
We know that FW = 3*SW, so substitute that into the above equation:
4*3*SW + 6*SW = 54
12*SW +6*SW = 54
18*SW = 54
SW = 3
Therefore FW = 3*3 = 9
FW 4 x 9 = 36 wheels
SW 6 x 3 = 18 wheels
Total = 54 wheels
find the unknown angles
Answers
Answer:
Step-by-step explanation:
∠WZA + WZY = 180 {linear pair}
88 + ∠WZY = 180
∠WZY = 180 - 88
∠WZY = 92°
∠WXY + ∠WZY = 180 {Opposite angle in cyclic quadrilateral}
x + 92 = 180
x = 180 - 92
x = 88°
There are 7 unique names in a bowl. In how many orders can 2 names be chosen? Hint: The word orders
implies that each unique order of two names is counted as a possibility.
Answers
Answer:
2/7
Step-by-step explanation:
Probability=number of names chosen/total number of names
p=2/7
Here in this question order is mentioned so we will use permutation.
and the formula is P(n,r) = [tex]\frac{n!}{(n-r)!}[/tex]
What is permutation and combination ?When the order of selecting something doesn't matter we use combination and when order of selection matters we use permutation.
In the given question number of unique names (n) = 7 and we are taking 2 names at a time.So the permutation of 7 names takes 2 at a time is P(7,2) =
[tex]\frac{7!}{(7-2)!}[/tex] = [tex]\frac{7!}{5!}[/tex] = [tex]\frac{7*6*5*4*3*2*1}{5*4*3*2*1}[/tex] = 7x6 = 56.
So, the number of ways of selecting is 56.
Learn more about Permutations and Combinations here :
https://brainly.com/question/13387529
#SPJ2
simplify by combing like terms 3(a-b)/9 +4/9b
Answers
Answer: 3a+b/9
(the slash represents a fraction so the answer is a fraction)
Step-by-step explanation:
The line joining (3, p) to (7, –4p) is parallel to the line joining (–1, –3) to (3, 7). Find p.
Answers
Answer:
p = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (3, 7)
m = [tex]\frac{7-(-3)}{3-(-1)}[/tex] = [tex]\frac{7+3}{3+1}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex]
Parallel lines have equal slopes
Calculate the slope of the other 2 points and equate to [tex]\frac{5}{2}[/tex]
with (x₁, y₁ ) = (3, p) and (x₂, y₂ ) = (7, - 4p)
m = [tex]\frac{-4p-p}{7-3}[/tex] = [tex]\frac{-5p}{4}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )
- 10p = 20 ( divide both sides by - 10 )
p = - 2
The formula Q = MCT we're Q = heat flow, M = mass, C = Specific heat, and T = change of temperature is used to calculate heat flow. Solve this formula for T.
Answers
the answer must be t equal to Q over MC
Answer:
T= Q over MC
Step-by-step explanation:
I did the test
49q²-70q+25 resolve into fractors
Answers
Answer:
(7q-5)²
Step-by-step explanation:
= 49q² - 70q + 25
= 49q² -35q -35q + 25
= 7q(7q-5) - 5(7q - 5)
= (7q-5) (7q-5)
= (7q-5)²
CMIIW
Answer:
Step-by-step explanation:
49q² -70q +25 , rewrite the first two terms as squares
(7q)² -70q + 5² , compare with a² - 2ab + b² = (a-b)²
a² - 2ab + b²
(7q)² -2(7q)(5 )+ 5², because 70q = 2*35q = 2*7*5*q
We can see that a = 7q and b=5, therefore
49q² -70q +25 = (7q -5)²
We set the equation equal to 0 to find the roots
7q-5 =0, add 5 to both sides
7q =5 , divide both sides by 7
q = 5/7 ≈ 0.714
2. Here is a polygon. Draw a scaled copy of the
polygon using a scale factor of 3.
A
B
D-
с c
A man har
Answers
A scale drawing is an illustration of shape where the accurate size of the new shape is in proportion to the previous shape.
Given that:
[tex]k = 3[/tex] --- the scale factor
From the given polygon, we have:
[tex]Side_1 = 8[/tex]
[tex]Side_2 = 6[/tex]
The corresponding sides of these two sides are:
[tex]Side_1 = 8 \times 3[/tex]
[tex]Side_1 = 24[/tex]
[tex]Side_2 = 6 \times 3[/tex]
[tex]Side_2 = 18[/tex]
See attachment for the scaled drawing
Read more about scaled drawing at:
https://brainly.com/question/980463
Rewrite in the simplest terms: 8k - 9(4k +4)
Answers
8k - 9(4k + 4) = 8k - 36k - 36 = -28k - 36
Let's rewrite in the simplest term,
→ 8k - 9(4k + 4)
→ 8k - 36k - 36
→ [-28k - 36]
The simplest term is -28k - 36.
Which numbers are irrational? Select all that apply.
O A. 36
DB. 126
O C. 169
D. 146
Answers
Answer:
126 & 146 is irrational, 36 & 169 rational
Answer:
126 and 146
Step-by-step explanation:
your cell phone plan cost 24.99 per month plus $19 for each text message you send or receive you have at most $34 to spend on your cell phone bill what is the maximum number of text message you can receive or sent
Answers
Answer:
1.
Step-by-step explanation:
You can't send two because it'd be 38
Unit Exam: Rational Numbers
3 of 83 of 8 Questions
Question 3
Write 0.31¯¯¯¯¯ as a simplified fraction.
Answers
31/99
What is the difference?
Answers
Answer:
4th option
Step-by-step explanation:
Given
[tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{(x+2)(x+1)}[/tex] ← expand denominator using FOIL
= [tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{x^2+3x+2}[/tex]
Since the denominators are common, then subtract the numerators
= [tex]\frac{x-1}{x^2+3x+2}[/tex]
Write the
equation of the line that
passes through the
points
the points (1, 2) and (5,-3)
Answers
Answer:
-5/4x + 5/2
Step-by-step explanation:
Slope: (-3-2)/5-1) = -5/4
Point: (1,2)
y-2 = -5/4 (x -1)
y - 2 = -5/4x +5/4
y = -5/4x + 5/4 + 2
y = -5/4x + 13/4
HELP ME WITH THIS PROBLEM!! USE A PICTURE/DRAWING
Answers
Answer:
Your answer is above. Draw the same in answer sheet
A pound of chocolate costs 7 dollars. David buys p pounds. Write an equation to represent the total cost c that David pays.
Answers
Answer:
C = 7p
Step-by-step explanation:
Each pound costs 7 dollars, and he buys P, an unknown amount. This equals C.
