Answer:
4
Step-by-step explanation:
In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature consisting of a single binary operation, the term algebra over a set X of variables is exactly the free magma generated by X
A, E and B lie on a straight line segment.
C, D and B lie on a straight line segment.
BD = 3m, CD = 15m and AB = 21m.
Work out the length of BE.
Give your answer as a decimal.
The length of line BE on the given line segment is 3.5 m.
The given parameters:
Length BD = 3 mLength CD = 15 mLength AB = 21 mThe sketch of the given line segments is presented in the diagram uploaded.
The length of BE is determined by applying similar triangle theorem as follows;
[tex]\frac{CB}{AB} = \frac{BD}{EB} \\\\\frac{15 + 3}{21} = \frac{3}{EB} \\\\18EB = 63 \\\\EB = \frac{63}{18} \\\\EB = 3.5 \ m[/tex]
Thus, the length of line BE on the given line segment is 3.5 m.
Learn more about similar triangle here: https://brainly.com/question/11899908
Find the slope of the line that goes through (5,-8) and (-2,2)
Answer:
-1.42857
Step-by-step explanation:
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot? Assume y not-equals 0. (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) (x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline) (x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline) (x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline).
Answer:
[tex]\frac{5}{X^{2} } y^{2}[/tex]
Step-by-step explanation:
sorry the Y isn't under the 5 anyway hope this helped
Answer:
A is the answer.
Step-by-step explanation:
(X^7/2)(y^-3/5)
Thank you will give thanks + more + brainliest!!!!
Given the system of linear equations:
{x+6y=6 y= 1/3 x−2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B
Answer:
You must graph this on a graphing site
Step-by-step explanation:
Use one from enternet and type in the equation!!
greg drove 300 miles at a constant speed for 5 hours. the speed limit is 70 miles per hour. was his rate grater than the speed limit?
No.
Step-by-step explanation:To find the rate for how many miles Greg drove for 5 hours, we need to divide 300 by 5:
300 / 5 = 60.
60 miles represents the speed for 1 hour.
60<70.
The inequality indicates that his rate (60 miles per hour) is less than the speed limit.
Matthew has a gift card for $50 to lulu beans he is charged $3.25 for each coffee that he buys write an equation to represent his total amount left a after c coffees are purchased how many coffees were purchased if he has $11 left on the card
Answer:
Amt(c) = $50 - ($3.25/coffee)c
c = 12
Step-by-step explanation:
An equation to represent his total amount left a after c coffees are purchased
would be Amt(c) = $50 - ($3.25/coffee)c
and if he has $11 left, then $11 = $50 - ($3.25/coffee)c
or -$39 = -($3.25/coffee)c.
Dividing both sides by -$3.25, we get c = 12
What is 1/2 of 14? this is an algebraic expression!!
please help with hegarty algebraic fractions and quadratic equations
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf \dfrac{3}{x} - \dfrac{3}{x + 4} = 1[/tex][tex] \sf \dfrac{3(x + 4) -3x }{x(x + 4)} = 1[/tex][tex] \sf \dfrac{3x + 12-3x }{x(x + 4)} = 1[/tex][tex] \sf 12 = {x(x + 4)} [/tex][tex] \sf {x}^{2} + 4x = 12[/tex][tex] \sf{ {x}^{2} + 4x - 12 = 0 }[/tex][tex] \sf{ {x}^{2} + 6x - 2x - 12 = 0}[/tex][tex] \sf{x(x + 6) - 2(x + 6) = 0}[/tex][tex] \sf(x - 2)(x + 6) = 0[/tex]Hence,
[tex] \sf x = 2 \: \: or \: \: x = - 6[/tex]what is the equation of the line with slope -7 which goes through the point (2,5)
Answer:
y=-7x+19
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-7(x-2)
y=-7x+14+5
y=-7x+19
The equation of the line with slope - 7 which goes through the point (2, 5) is
y = - 7x - 19.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through points (2, 5) with a slope of - 7.
∴ 5 = -7(2) + b in slope-intercept form.
5 = - 14 + b.
b = - 19.
y = - 7x - 19.
learn more about lines and slopes here :
https://brainly.com/question/3605446
#SPJ5
Confused on both 9 and 10 please help
Last week, you finished Level 2 of a video game in 32 minutes. Today, you finish Level 2in 28 minutes. What is your percent of change
Answer:
12.5% decrease
Step-by-step explanation:
[(V2 - V1) / V1] x 100 = Percent Change
Jake is 1.25 meters tall. At 11a.m he measures the length of a trees shadow to be 16.45 meters. He stands 11.5 meters away from the tree, so that the tip of his shadow meets the tip of the tree’s shadow. Find the height of the tree to the nearest hundredth of a meter
Answer:
1.25 yeah girlyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy i ttook the test
Step-by-step explanation:
- The price of an item increases from $90 to $100. Find the increase per cent.
Answer:
The increase as a percentage was 11.1%.
Step-by-step explanation:
The increase is $10. The ratio of this increase to the original $90 is
$10
------- = 1/9
$90
Multiplying this by 100%, we get 11.1%.
The increase as a percentage was 11.1%.
1234567891011121314151617181920
Answer:
What's this question? Oh my gosh!
2x+5(x+1) = -8;
Can someone help me solve this problem step by step please?
Answer:
-13/7
Step-by-step explanation:
2x+5(x+1)=-8
2x+5x+5=-8
7x+5=-8
7x=-8-5
7x=-13
7x/7=-13/7
x=-13/7
Answer:
x = -13/7
Step-by-step explanation:
2x+5(x+1) = -8
2x+5x+5 = -8
7x+5 = -8
7x = -8-5
7x = -13
x = -13/7
2. Daniel orders sushi from the sushi restaurant. The total bill is $80. He tips the sushi chef 20%.
How much money does the sushi chef get?
Answer:
16
Step-by-step explanation:
(20/100) * 80=16
Answer:
16
Step-by-step explanation:
$20.43 is how much tip was
27% >>> .27
.27 * 75.68 = 20.43 tip
Bonus: $96.11
the bold word are tip but your answer is 16
mark me brinilylist
which equation generates the value in the table
Answer:
A
Step-by-step explanation:
ill make u a brainlist (please answer the question )
Answer:
9. 5 19/70 10. 26 11. 5/12 12. 5/12
Step-by-step explanation:
You don't have to worry about whether the fractions have the same denominator or not. Simply multiply the denominator together. Simplify the resolution fraction if needed. GOOD LUCK.
15+25 distributive property
Answer:
(5 x 3) + (5 x 5)
Step-by-step explanation:
hope thats what your looking for
The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.
Answer:
3cm and 7cm
Step-by-step explanation:
The length is 7cm.
The width is 3cm.
Area = Length × Width = 7cm × 3cm = 21cm²
The area of the triangle below is 5.52 square feet.
What is the length of the base?
Answer:
4.6 ft
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
Fill in the given values and solve for the base.
5.52 = 1/2b(2.4)
5.52/1.2 = b = 4.6 . . . . divide by the coefficient of b
The base is 4.6 feet.
On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4). What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary. X = y =.
The x and y coordinates of point C are -2.6 and 5.2, respectively
The coordinate of the points are given as:
[tex]A = (-4,8)[/tex]
[tex]B =(2,-4)[/tex]
The ratio is given as:
[tex]m :n = 3 : 10[/tex]
The point at the given ratio is calculated as:
[tex]C = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
So, we have:
[tex]C = (\frac{3 \times 2 + 10 \times -4}{3+10},\frac{3 \times -4 +10 \times 8}{3+10})[/tex]
Simplify
[tex]C = (\frac{-34}{13},\frac{68}{13})[/tex]
[tex]C = (-2.6,5.2)[/tex]
Hence, the x and y coordinates of point C are -2.6 and 5.2, respectively
Read more about line ratios at:
https://brainly.com/question/11764811
Answer:
a
Step-by-step explanation:
Can someone please help me with this one? Tysm! ^^
The distance between two cities on a map is 6cm. If the scale one the map is 2 cm=50 miles, how many miles apart are the two cities
Work Shown:
2 cm : 50 miles
3*(2 cm) : 3*(50 miles)
6 cm : 150 miles
Aaron and Kevin are on the school golf team. Aaron buys 6 cheap golf balls and 4 expensive ones for $18.00. Kevin buys 4 cheap and 3 expensive balls for $13.00.
NEED HELP ASAP PLZ HELP
Answer:
y=0.68x + 0.22
Step-by-step explanation:
HOPE THIS HELPS :)
60.98 x 62xv Whats v
there is 60 girls and 90 boys in the 7th grade at sycamore middle school of theses students 14 boys and 10 girls write left handed what percentage of the 7th graders at sycamore middle school write left handed
Answer:
16%
Step-by-step explanation:
60+90=150 total students
14+10=24 left handed students
24/150= 0.16 or 16% of the population being left handed
A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each successive bounce is 80% of the previous bounce's height. What would be the height of the 12th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:
0.3 feet
Step-by-step explanation:
2.75(0.8)^x
in which x is the number of bounces after the firts bouce
bouce 12 would mean x=11
2.75(0.8)^11 = 0.2
what is the probability