Answer:
2n.
Step-by-step explanation:
This an arithmetic sequence with a1 = 2 and d = 2
an = a1 + d(n - 1)
= 2 + 2(n - 1)
= 2n + 2 - 2
= 2n.
The coordinates of the endpoints of EF are E( – 9,11) and F(1,6). Point G is on EF and divides it such that EG:FG is 2:3. What are the coordinates of G? Write your answers as integers or decimals.
Answer:
(-3,8)
Step-by-step explanation:
Given the coordinates of the endpoints of EF are E( – 9,11) and F(1,6). Point G is on EF and divides it such that EG:FG is 2:3.
Coordinate of G is expressed as shown;
X = ax1+bx2/a+b
X = -9(2)+3(1)/2+3
X = -18+3/5
X = -15/5
X = -3
Similarly;
Y = ay1+by2/a+b
Y = 2(11)+6(3)/2+3
Y = 22+18/5
Y = 40/5
Y = 8
Hence the coordinate of point G is at (-3,8)
find the area of the following figure
Answer:
6
Step-by-step explanation:
First side times hight or 3x4=12
12 is a whole square, but this is a triangle (Half of a square)
So we divide by 2 to find the area. 12/2=6
6
Answer:
Area=6
Step-by-step explanation:
Since the measurements of this right angle is 3 and 4 you have to multiply them together to get 12 but then you must divide that answer by 2 making the answer 6
5.6 cm
8.2 cm
Area =_______
Answer:
Hello! answer: 22.96
Step-by-step explanation:
Area is base × height × 1/2 or base × height ÷ 2
Im going to use the second method.
8.2 × 5.6 = 45.92 45.92 ÷ 2 = 22.96 therefore the answer is 22.96
Reflect the vector (-3,5) across
the line y=x.
Answer:
(5, - 3 )
Step-by-step explanation:
Under a refection in the line y = x
a point x, y ) → (y, x ), then
(- 3, 5 ) → (5, - 3 )
The reflection vector is (5, -3) after reflecting over line y = x the answer is (5, -3).
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have:
The vector is (-3, 5)
The reflection line is y = x
The transformation rule:
(x, y) → (y, x)
(-3, 5) → (5, -3)
Thus, the reflection vector is (5, -3) after reflecting over line y = x the answer is (5, -3).
Learn more about the geometric transformation here:
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High School is selling tickets to its Spring Concert. Adult tickets cost $4 and student tickets cost $2.50. The school sold 800 tickets for a total of $2585. How many of each type of ticket were sold?
Answer:
Adult tickets= 390
Student ticket= 410
Step-by-step explanation:
4A + 2.5S= 2585
A+ S = 800
A= 800-S
Substitute into the first equation
help me with this please
Answer:
28
Step-by-step explanation:
Tan-1(8 / 15)
State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
1)
12
IS
16
D
DEF
Answer:
is there anything else that can help?
Step-by-step explanation:
Answer:
Do you have a picture to see the triangles
Step-by-step explanation:
can someone pls pls help me ?
Answer:15
Step-by-step explanation: this is an equilateral triangle and 45-15-15=15 so no matter what it would be 15
Answer:
It's 15
Step-by-step explanation:
perimeter is sum of all the sides
15+15+v = 45
30+v = 45
subtract 30 from both sides
v = 45-30
= 15mm
Solve for x xx. Your answer must be simplified. x + 5 ≤ − 4
Answer:
x ≤ − 9
Step-by-step explanation:
x + 5 ≤ − 4
Subtract 5 from each side
x + 5-5 ≤ − 4-5
x ≤ − 9
not good at this so pls answer if u know
Answer:
the first suggestion A
Step-by-step explanation:
A student who was not absent during the unit should score about 98 im not sure
What does likelihood mean in math
Likelihood is the probable chances of occurrence of an event.
It simply means: what’s the chance “x” will occur?
I have a jar with 20 candies of which 10 are red, 5 are blue, 3 are green, and 2 are white. If I randomly grab 1 candy, what’s the likelihood it’ll be red? In other words: what’s the *chance* it’ll be a red candy?
(It’s 10/20 = 1/2 = 50%, by the way, but it’s just an example).
- Use the numbers 2,165 and 4,428 to write and solve an equation that uses borrowing (regrouping).
Answer:
4,428-2,165=2,263
Step-by-step explanation:
you regroup the 2
The equation that uses numbers 2,165 and 4,428, and can be used to write and solve an equation that uses borrowing is 4,428-2,165=2,263.
What is Borrowing?Borrowing in subtraction, like "carrying" in addition, means to take quantities from one number and assign them to the next. The 10 is borrowed from the next higher digit column in this approach to generate a positive difference in the next column.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='. An equation that uses borrowing or regrouping can be written as,
4,428 - 2,165 = 2,263
Hence, the equation that uses numbers 2,165 and 4,428, and can be used to write and solve an equation that uses borrowing is 4,428-2,165=2,263.
Learn more about Borrowing:
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Find the surface area of a square pyramid with side length 3 km and slant height 5
km.
km
3 km
3 km
Answer:
39 sq km
Step-by-step explanation:
SA = area of the base + 1/2(perimeter of the base)(slant height)
= 3² + 1/2(3×4)(5)
= 9 + 6(5)
= 39
Please answer fast!!
Jina has scored 13,26,23, 26, and 28 points in her five basketball games so far. How many points does she need to score in her game so that her average (mean) is 24 points per game?
what does this equal to?
[tex]( {2p}^{ - \frac{1}{4} } ) ^{2} [/tex]
Answer:
2p^-1/4*2
2p^-1/2
2/p^1/2
Step-by-step explanation:
what is the image of (-3,-5)) after a reflection over the x-axis?
Answer:
(-3,5)
Step-by-step explanation:
When you reflect over the x axis, the y value's sign changes.
So we have:
-3,5
Answer:
(-3,5) the graph is below
Can someone plz help me on this one
For the perimeter use the formula 2x3.14xr
step 1: divide the 20 by 2
step2:multiply 3.14 by the qoutient of the division
step3:divide again by 2
For the area the formula is 3.14 x r x r
the r is the qoutient on step one
step 1: multiply both Rs
step2: multiply the 3.14 by the product of step one.
and you are done i hope it helps you
There are 64 students in a class. 40 of them passed in Mathematics, 32 passed in Science and 15 passed in Mathematics as well as Science. How many students were unsucessful in both subjects ? (with process)
Answer:
7 students
Step-by-step explanation:
64 - (40+32-15) =
64 - (72-15)=
64-57 = 7
Consider this right triangle.
Enter the ratio equivalent to tan(R).
Answer:
tan r = 35/12
Step-by-step explanation:
you use the rule tan=opposite/adjacent
The required ratio equivalent to tan(R) for triangle RTS is 35 / 12.
A triangle RTS is given with perpendicular = 35 base = 12 and the hypotenuse = 37
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
In order to find out the ratio equivalent to tan(R).0
We know that,
tan(r) = perpendicular / base
from given,
tan (R) = 35 / 12
Thus, the required ratio equivalent to tan(R) for triangle RTS is 35 / 12.
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Please help ASAP IM IN DESPREATE NEED OF HELP
EVEN IF YOU COULD HELP WITH ONE I'D BE HAPPY I JUST DON'T UNDERSTAND WHAT THEY ARE ASKING.
Answer:
See the attached image for the graph of the first system.
Step-by-step explanation:
Here's how to graph the first system.
Start with the inequality [tex]-y \le -2x-3[/tex]. You can make this easier to work with by multiplying through by -1. Remember to switch the inequality sign when multiplying by a negative number. OK, you get the inequality
[tex]y \ge 2x+3[/tex].
The graph will be a half-plane -- all the points on one side of a line. The line that is the boundary of the half-plane has an equation: [tex]y=2x+3[/tex] -- just use an = sign instead of the inequality sign.
Graph the line.
The equation of the line is in slope-intercept form: y = mx + b, so you can tell the y-intercept is 3 and the slope is 2 (think of it as a fraction 2/1). Graph the line by going to the point (0, 3) -- the y-intercept -- then use the slope 2/1 interpreted as "rise over run" to go up 2 units and right 1 unit, arriving at the point (1, 5). Draw the line through those points, (0, 3) and (1, 5).
Now you have to decide which side of the line the inequality [tex]y \ge 2x+3[/tex] is describing. To do this, pick a point which is not on the line, plug its coordinates into the inequality; if the result is true, shade the side of the line the point you picked is on (if false, shade the other side!)
An easy point to pick in this case is the origin, (0, 0). Put zeros in for x and y in the inequality, and you'll get the statement [tex]0 \ge 2(0)+3 \, \Rightarrow \, 0 \ge 3[/tex]. That's false, so shade the side of the line not containing the origin. In the image below, the shading is in purple.
All right, now for the other inequality, [tex]x+2\le 0[/tex]. Subtract 2 from both sides and the inequality becomes [tex]x \le -2[/tex]. This, too, graphs as a half-plane whose boundary line has equation [tex]x=-2[/tex]. Graph the line. A line with an equation that has x in it but not y is a vertical line with all its x-coordinates equal to the number on the right side of the equation. This line is vertical and goes through points such as (-2, 0).
Pick a point not on the line (the origin works again). Put the coordinates into the inequality to get [tex]0\le -2[/tex] which is false. Shade the side of the vertical line which does not contain the origin. In the image below, the shading is in black.
Finally, YAY! \o/ , the solutions to the system are all the points in the plane that got shaded twice. In the image, they are the cross-hatched points above the purple line and to left of the black line.
Note: If you get a system with three inequalities, you'll be graphing three half-planes and looking for points that got shaded three times!
Note: One of your questions has the inequalities [tex]x \ge 0[/tex] and [tex]y \ge 0[/tex] in it. These two inequalities say that the x and y coordinates are both positive or zero, confining your attention to Quadrant I in the upper-right part of a graph, above the x-axis and to the right of the y-axis.
a car with a mass of 1500 kg accelerates 6 m/s2 when a force is applied to the car
what is the acceleration of the car if the force remains the same and the mass of the car is doubled
A. 3 m/s2
B. 6 m/s2
C. 12 m/s2
D. 24 m/s2
Answer:
i think is will be 3
Step-by-step explanation:
HURRY PICTURE INCLUDED
The highlighted part of this picture is a good representation of which
geometric term?
OA) line segment
B) ray
OC) line
OD) plane
The highlighted part is called Ray.
By the way, In geometry, a ray can be defined as a part of a line that has a fixed starting point but no endpoint.what is the tone of the poem The Chimney Sweeper by William Blake
Answer:
The tone of the poem is one of gentle innocence and trust, which contrasts sharply with its grim subject. The young chimney sweeper's words show that he and his fellow sweep are in a harsh situation. They are the among most vulnerable in society: young children who are orphaned or unwanted.
(PLEASE HELP) 16
If a parallelogram has an
angle measure of 37º what
is the sum of the other
three angles?
A parallelogram is a quadrilateral. Therefore, the sum of its interior angles is 360 degrees.
If we know that one angle is 37 degrees, then the sum of the other three angles is: x + 37 = 360
The sum of the other three angles = 323 degrees
Hope this helps!! :)
What is the A value in the quadratic: X^2+3x-2*
whats (x + 3) - (5x - 4)
Answer:
the answer is −4x+7
Step-by-step explanation:
yes
Answer:
-4x+7
Step-by-step explanation:
(x+3)-(5x-4)
Remove parenthesis and simplify:
-4x+7
How are the shapes alike ?
Answer:
those 4 options are wrong, unless I am d.u.m.b
Step-by-step explanation:
both of those figures have 6 faces, and 8 edges.
Have a nice day! :-)
Answer:
Each shape has 12 edges
Step-by-step explanation:
Every cube (regular hexahedron) has 6 square faces and each face has 4 edges. However, each edge is shared between 2 faces. So, you can determine how many edges there are by multiplying 6 x 4 and dividing the resulting number (24) by 2, getting the final number of 12.
Find the unknown angles from
the given figure.
(2x-3)°
(2x-43)
Answer:
2x-3 = 29
8x = 128
x+7 = 23
Step-by-step explanation:
The sum of the angles of a triangle is 180
2x-3 + 8x+ x+7 = 180
Combine like terms
11x+4 = 180
Subtract 4 from each side
11x+4-4= 180-4
11x = 176
Divide by 11
11x/11 =176/11
x =16
2x-3 = 2*16-3 =32-3 = 29
8x = 8*16 =128
x+7 = 16+7 = 23
Carlos downloaded a pattern from the Internet for making a table with an
irregular polygon-shaped top. The instructions on the pattern say that the
scale factor is 11/2. The sides of the pattern are shown on the diagram below.
What is the length of the longest side of the finished tabletop?
Answer: did you ever get the answer?
Step-by-step explanation:
I need it too lol
What are the coordinates of side HI?
A (-8,1) and (-4,-3)
B (-4,7) and (-2,5)
C (1,-8) and (-3,-4)
D (7,-4) and (5,-2)