Answer:
B. (2,5)
Step-by-step explanation:
Given
Points: (6,3), (-2,7)
Required
Midpoint
Midpoint is calculated as follows:
[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where
[tex](x_1,y_1) = (6,3)[/tex]
[tex](x_2,y_2) = (-2,7)[/tex]
So,
[tex]x_1 = 6; y_1 = 3; x_2 = -2; y_2 = 7[/tex]
By substituting these values in the given formula
[tex](x,y) = (\frac{6-2}{2},\frac{3+7}{2})[/tex]
[tex](x,y) = (\frac{4}{2},\frac{10}{2})[/tex]
[tex](x,y) = (2,5)[/tex]
Hence, the midpoint of the line segment is (2,5)
A golfer exerts a force of 15.0 N on a golf ball that has a mass of 0.42 kg. What is the golf
ball's acceleration?
Answer:
35.71m/s²
Step-by-step explanation:
using the formula force(F)=mass(m)×acceleration(a)
a =
[tex] \frac{f}{m} [/tex]
F=15.0N
m=0.42kg
a=?
a=15÷0.42
a=35.71m/s²
Answer:
C
Step-by-step explanation:
Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7). Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
Answer:
Here's what I get.
Step-by-step explanation:
Assume the figure is like Image 1 below.
We must dilate each point by a scale factor of 3 centred at (2, −7).
1. Determine the transformation rules
Each point moves to three times its original distance from the centre.
Let P = a point on the figure and
let O = the centre of dilation
and L = the distance from the point to the centre. Then
L = P - O
Three times that distance is
3L = 3P - 3O
We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O.
P' = 3L + O = 3P - 3O + O = 3P + 2O
If P is at (x,y) and O is at (h,k), the transformation rule is
(x,y) ⟶ (3x - 2h, 3y - 2k)
2. Make a table of the new coordinates
[tex]\begin{array}{cclc}\textbf{Point} & \mathbf{(x,y)} &\textbf{Image Coordinates } \mathbf{(3x - 2h, 3y - 2k)}&\mathbf{(x',y')} \\A & (-2,-7) & (-6,-21) -2(2,-7) = (-6 - 4, -21 + 14) & (-10,-7) \\B & (0,-4) & (0,-12) -2(2,-7) = (0 - 4, -12 + 14)& (-4,2) \\C & (3,-3) & (9,-9) -2(2,-7) = (9 - 4, -9 + 14) & (5,5) \\D & (4,-5) & (12,-15) -2(2,-7) = (12 - 4, -15 +14) & (8,-1) \\\end{array}[/tex]
3. Graph the new shape
You should get a graph like Fig. 2.
The rays from Point O pass through corresponding points in the two shapes, so this is a dilation about O.
Point B is two units left of O and three units up.
Also, B' is six units left and nine units up, so the scale factor is three.
What is the result when the number 83 is increased by 7%? Round your answer to the nearest tenth.
Answer:
90
Step-by-step explanation:
multiply 83 by .07 equals 5
then add 83 + 5= 88 rounded to nearest tenth = 90
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
Answer:
There are 11 g of drink mix for every ounce of water.
Step-by-step explanation:
In order to calculate the unit rate in grams of drink mix for ounces of water of any type of drink, we need to divide the mass of drink mix in grams by the mass of water in ounces. In this case there are mixed fractions, we will first convert them to fractions, to do that we sum the fraction part with the integer one.
[tex]mix = 19 + \frac{1}{4}\\\\mix = \frac{77}{4}[/tex]
[tex]water = 1 + \frac{3}{4}\\\\water = \frac{7}{4}[/tex]
The rate is:
[tex]rate = \frac{mix}{water}\\\\rate = \frac{\frac{77}{4}}{\frac{7}{4}}\\\\rate = \frac{77}{7}\\\\rate = 11[/tex]
There are 11 g of drink mix for every ounce of water.
Answer:
There are 11 g of drink mix for every ounce of water.
Solve the equation shown below.
12x−6=4
x =−4
x=−2
x=10
x=20
____________________________
Hey!!
Solution
12x-6=4
or,12x=4+6
or,12x=10
or,X=10/12
X=5/6
The value of X is 5/6
hope this helps.
___________________________
Answer:
x = [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
→Add 6 to both sides:
12x - 6 =4
12x = 10
→Divide both sides by 12:
x = [tex]\frac{10}{12}[/tex]
→Simplify:
x = [tex]\frac{5}{6}[/tex]
What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x
Answer:
4x+2= -6x+7
4x+6x=7-2
10x=5
x=1/2
Step-by-step explanation:
help me, please.........
Answer:
de for the second
Step-by-step explanation:
Answer:
Step-by-step explanation:
an altitude - a ( forms with a line an angle of 90 degrees)
a perpendicular bisector- c ( divide the line in 2 equal parts and it is perpendicular on the line)
an angle bisector - d ( divide the angle in 2 equal parts)
a median - b ( a segment between an angle and the middlepoint of the opposite line)
Can someone please tell me what the slope-intercept equation for this graph is!!!! Braniest and Extra points will be given!!!
Answer:
see below
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b where m and b are the slope and y-intercept respectively. From the graph we see that b = 11 (because it is halfway between 10 and 12) and m = 3 (see 2 marked points on the graph). Therefore our answer is y = 3x + 11.
Identify the graph of xy=-8 for theta=pi/4 and write and equation of the translated or rotated graph in general form.
Answer:THE ANSWER IS A
Step-by-step explanation:
CORRECT ON EDGE
Answer:
A
Step-by-step explanation:
edge
The volume of a cylinder is 576, cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?
Answer:
36 / pi = h
Using 3.14 for pi
h =11.46496815 inches
Using the pi button
h =11.45691559 inches
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the volume and the radius
576 = pi ( 4)^2 h
576 = pi 16 h
Divide each side by 16 pi
576/16 pi = pi 16 h/ 16 pi
36 / pi = h
Using 3.14 for pi
h =11.46496815 inches
Using the pi button
h =11.45691559 inches
Which one is greater 1 4/5 or 21/12
Answer:
I think 21/12
Step-by-step explanation:
hope it works out,!!
Answer:
Here is the answer 21/12
Step-by-step explanation:
to break 21/12 into a fraction we need to subtract, add a whole.
21-12 is 9 1 9/12
now we need to find a gcf for only 9/12 but divide
this is because the gcf of 4/5 is only 1 so we can’t use it
the gcf for 9/12 is 3
9/12 divided by 3 is 3/4
to know what’s greater I use the butterfly trick Which is sideways multiplying
3. 4
- -
4 5
3 x 5 is 15
4 times 4 is 16
below the 16 should be 4/5
and if you look all the way at the top, it started as 21/12
so it is 21/12
George is reading a book. At the end of 3 hours he has read 90 pages, and at the end of 5
hours he has read 238 pages. What is the average rate of change? Type your numerical
answer below.
Answer:
74 pages/hour
Step-by-step explanation:
The average rate of change is the difference in the numbers of pages divided by the difference in the numbers of hours.
At the end of 3 hours, 90 pages were read.
At he end of 5 hours, 238 pages were read.
Difference in hours: 5 hours - 3 hours = 2 hours.
Difference in pages: 238 pages - 90 pages = 148 pages
The average rate of change is the difference in pages divided by the difference in hours.
average rate of change = (148 pages)/(2 hours) = 74 pages/hour
which phrase best describes a theorem in an axiomatic system?
Answer:
The best phrase that describes a theorem in axiomatic system is :
A statement proven to be true using logic
Axiomatic system is a set of axiom in which the axioms are derived from logic
hope this helps
Answer:
A statement proven to be true using logic
Axiomatic system is a set of axiom in which the axioms are derived from logic
Choose the best definition for the following term: substitution
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
Answer:
A process where if two things are equal, one can be put in the place of the other and nothing will change
Step-by-step explanation:
Its like replacing :)
Answer:
A letter that holds the place for some unknown value in mathematics
Step-by-step explanation:
Well in all honesty subbing has many definitions depending on what it's used for so in what way are you implying that subbing is used for?
Is figure B a scale copy of figure A. Yes or No Please help me thank you
Answer:
Yes
because they both face the same direction
and they triangle in shape
the expression y-x equals 0.7 if x and y have certain values. evaluate the following expressions with the same values of x and y
Answer:
3.5
Step-by-step explanation:
Given: x-y=0.7
Finding: 5(x-y)
So we have that x-y=0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5
The answer to the expression is 3.5
How to solve the expression?In algebra, we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule.
Given:
x - y = 0.7
Finding: 5(x - y)
So we have that x - y = 0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5
What is a math expression example?An example of a mathematical expression with a variable is 2x + 3. All variables ought to have a coefficient, a variety that is multiplied by means of the variable. within the expression 2x + three, the coefficient of x is the variety 2, and its method 2 instances x plus three.
Learn more about the expression here: brainly.com/question/723406
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59:52
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?
Answer: A line is the undefined geometric term is described as a two-dimensional set of points that has no beginning or end.
Which operations are commutative and associative?
Answer:
Step-by-step explanation:
if there are two numbers a and b.then
1. a+b=b+a ,commutative under addition.
2. ab=ba,commutative under multiplication.
If there are three numbers a,b,c then
1. a+(b+c)=(a+b)+c,associative under addition.
2.
a×(b×c)=(a×b)×c ,associative under multiplication.
Answer: Addition and multiplication :)
f (x) = x² + 10x + 24.
Help plzz !!
Answer:
Consider the form
x
2
+
b
x
+
c
x2+bx+c
. Find a pair of integers whose product is
c
c
and whose sum is
b
b
. In this case, whose product is
−
24
-24
and whose sum is
−
10
-10
.
−
12
,
2
-12,2
Write the factored form using these integers.
(
x
−
12
)
(
x
+
2
)
(x-12)(x+2)
Answer:
[tex]f(x)=x+5x^{2} -1[/tex]
Which function has a negative discriminant value? On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (1, negative 16), and goes through (5, 0). On a coordinate plane, a parabola opens up. It goes through (negative 3, 5), has a vertex at (negative 1.5, 2.75), and goes through (0, 5). On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (0, 4), and goes through (2, 0). On a coordinate plane, a parabola opens down. It goes through (negative 1, negative 4), has a vertex at (3, 0), and goes through (5, negative 4).
Answer: On a coordinate plane, a parabola opens up. It goes through (negative 3, 5), has a vertex at (negative 1.5, 2.75), and goes through (0, 5).
Step-by-step explanation: this is the one with a negative discriminant value
Answer:
iTS BBBB
Step-by-step explanation:
Just did it.
Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answer:
3 hours
Step-by-step explanation:
3/4 + 3(3/4) =4*(3/4) = 3
What are the resulting vertices of triangle E′F′G′ after rotating triangle EFG 180° about the origin? answers: A) E′ (3, 1), F′ (1, –2), G′(–1, 4) B) E′ (3, 1), F′ (–2, –1), G′(–1, 4) C) E′ (1, 3), F′ (–2, 1), G′(–1, 4) D) E′ (3, 1), F′ (–2, 1), G′(4, –1)
Answer:
E' (3, 1)
F' (-2, -1)
G' (-1, 4)
Step-by-step explanation:
The rule for rotating 180° is (x, y) ⇒ (-x, -y)
E is at (-3, -1). When the rule is applied, E' is at (3, 1)
F is at (2, 1). When the rule is applied, F' is at (-2, -1)
G is at (1, -4). When the rule is applied, G' is at (-1, 4)
:)
The vertices of the triangle after rotation are:-
E' (3, 1)
F' (-2, -1)
G' (-1, 4)
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
The concept of rotation in mathematics has its roots in geometry. Any rotation is a movement of a certain area while maintaining at least one point. It may be used to describe, for instance, how a rigid body moves around a fixed point.
The rule for rotating 180° is (x, y) ⇒ (-x, -y)
E is at (-3, -1). When the rule is applied, E' is at (3, 1)
F is at (2, 1). When the rule is applied, F' is at (-2, -1)
G is at (1, -4). When the rule is applied, G' is at (-1, 4)
Therefore, the vertices of the triangle after rotation are E' (3, 1), F' (-2, -1) and, G' (-1, 4).
To know more about translation follow
https://brainly.com/question/28393968
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What is the value of x?
A-14
B-15
C-16
D-17
Answer:
A
Step-by-step explanation:
The answer is a because first you need to add up 110+110+70
You would get 290
Then subtract 360-290
You would get 70
Divide 70/5
You get 14, the answer.
Answer: A
Step-by-step explanation:
Can someone please help me
Answer:
The answer is A
Need help on this worksheet
Answer:
1. $1650
2. $1415.52
3. $5540
4. No
5. 145
6. No
Step-by-step explanation:
1. 2230 - 580
2. 157.28 x 9
3. 6630 - 1090
4.
5. 725 - 580
Hope this helps!
What is the answer of 135=-9x+9?
Answer:
x=-14
Step-by-step explanation:
move all the terms that don't contain x to the right side and solve.
(idk if this is correct but i hope it helps)
Answer:
Please mark me brainliest and I hope this helped!
X = -14
Step-by-step explanation:
First, we want to isolate the variable. So we subtract 9 from both sides and that gives us 126= -9. Now we divide both sides by -9. That gives us -14=x. So the answer is:
x = -14
PLEASE HELP! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
80 percent of 90 is the same as 40 percent of what number?
Answer:
180
Step-by-step explanation:
for 40 to be equal to 80 in percentages, the number has to be duplicated
Answer:
180
Step-by-step explanation:
90×80/100=72
40/100×x=72
transpose 100
40x=72×100
x=7200/40=180
Please help me with this answer im not that good in math
Answer:
B. A = 96 cm2
Step-by-step explanation:
18 ÷ x = -2 what does x equal
Answer: x = -9
Step-by-step explanation:
18/x = -2
18x = -2x
x = -18/2 = -9
Solve the equation x + 7 = 12
Answer:
5
Step-by-step explanation:
x=12-7
x = 5
Answer:
x=5
Step-by-step explanation:
x+7=12
If you do the same thing to both sides of the equation, then the trueness of the equation does not change. Therefore, I can subtract 7 from both sides of the equation to isolate x.
x+7-7=12-7
x=5
Hope this helps!
