Write a function in the form y=mx+b for the line that contains the points (2, 4) and(5, 10).
Step-by-step explanation:
gradient=∆y/∆x
=(10-4)/(5-2))
=6/3
=2
(x,y) (2,4)
y-4/x-2=2
y-4=2(x-2)
y=2x-4+4
y=2x
How do you work out 803.309-133.36?
There are 10 teachers and 5 school guards in the school. The principal wants to form a 4-member safety committee for the upcoming Grade 10 night. In how many ways can the committee be formed if there are 3 teachers and 1 guard?
a. 35
b. 50
c. 125
d. 600
what is
(588/2)9=n
a)n=294
b)n=2646
c)n=1323
Answer:
b)
Step-by-step explanation:
9 × (588/2)
= 9 × (294)
= 2646
Which values are solutions to this inequality?
x>−5
Choose each correct answer.
8
5
1
−2
−6
−9
Answer:
8,5,1,-2
Step-by-step explanation:
> = Greater than or equal to -5
3(5+6) distributave property
Answer:
3(5+6)
3x5 + 3x6
15 + 18
33
Find the missing side length 12 cm 1,200 cm 20 cm ____ cm
Answer:
Missing side length is 5 cm.Step-by-step explanation:
Multiply 20 by 12:
20 * 12 = 240.Multiply 240 by 5:
240 * 5 = 1200.Multiply the lengths:
20 * 12= 240 * 5= 1200.Answer:
The missing side is 5 cm
Step-by-step explanation:
Step 1: Determine the missing side
[tex]V=l*w*h[/tex]
[tex]1200\ cm^3 = 20\ cm * w * 12\ cm[/tex]
[tex]\frac{1200\ cm^3}{20\ cm * 12\ cm} = w[/tex]
[tex]\frac{1200\ cm^3}{240\ cm^2} = w[/tex]
[tex]5\ cm = w[/tex]
Answer: The missing side is 5 cm
find yz 11x+1 and 19x-31
The length of a segment is the number of units between its endpoints
The length of YZ is 45 units
How to determine length YZThe given parameters are:
WX = 11x + 1
YZ = 19x - 31
Lengths WX and YZ are congruent.
So, we have:
[tex]19x - 31 = 11x +1[/tex]
Collect like terms
[tex]19x - 11x = 31 +1[/tex]
Evaluate the like terms
[tex]8x = 32[/tex]
Divide both sides by 32
[tex]x = 4[/tex]
Recall that:
YZ = 19x - 31
So, we have:
[tex]YZ = 19*4- 31[/tex]
[tex]YZ = 45[/tex]
Hence, the length of YZ is 45 units
Read more about line segments at:
https://brainly.com/question/18315903
AREA OF TRIANGLE BASE=7 and 4
Answer:
area: 14
Step-by-step explanation:
Please help need answer fast
[tex] \rm \: p = \frac{favourable \: outcome}{total \: outcome} [/tex]
Total outcome = 12+5+8+1+4 = 30Favourable outcome = 12[tex] \rm \: p = \frac{12}{30} [/tex]
[tex] \rm \: p = \frac{2}{5} [/tex]
[tex] \rm \: p = 0.4[/tex]
[tex] \tt \: p = \frac{0.4}{100} [/tex]
[tex] \tt \: p = 40\%[/tex]
I NEER HELP ON KHAN ACADEMY PLS
A board game has players roll two 6-sided dice and subtract the numbers showing on the faces. The game
only looks at nonnegative differences. For example, if a player rolls a 4 and a 6, the difference is 2.
um
Here is the sample space showing the possible (equally likely) outcomes of a single roll:
uctio
2nd die
1st die
1
2
3
4
5
6
1
0
1
2
3
4
5
2
1
1:50
0
1
2
3
4
3
2
1
0
1
2
3
4
3
2
1
0
1
2
5
4
3
2
1
0
1
6
5
4
3
2
1
0
Which graph represents the theoretical probability distribution of the differences?
It can be deduced that the sample space is the collection of the set of possible outcomes in a random experiment.
What is a sample space?Your information is incomplete as the graphs aren't provided. Therefore, an overview of the sample space will be given.
A sample space simply means the collection of the set of possible outcomes in a random experiment.
It should be noted that a sample space is usually represented by the symbol S.
Also, the theoretical probability distribution states that the probability of occurence of an event will be equal to the number of the favorable outcomes divided by the total outcomes possible.
Learn more about sample space on:
https://brainly.com/question/5750471
Formula for area of a triangle
Answer: half x base x height
I hope that will help you have a great day bye and Mark brainlist if the answer is correct .......
Step-by-step explanation:
[tex]kai6417 [/tex]
#carry on learning
Nilai akar pangkat dua dari bilangan 144, 225 dan 400 adalah
Tolong dijawab ya kakk
Answer:
harap ia membantu kamu ya saya itu dari negara lain mungkin syllables nyahh lain jadi jawapan nyahh bisa lain ia kan
i try my best for sure gudluckk
Step-by-step explanation:
144
225
400
729
1296
Factorise fully 7y+84
Answer:
7 (y + 12)
Step-by-step explanation:
7 times y = 7y
7 times 12 = 84
7 (y + 12)
Answer:
y+12
Step-by-step explanation:
Divide 7y and 84 by 7
The point V(4, –1) is rotated 90° clockwise around the origin. What are the coordinates of its image V’? V’(1, 4) V’(–1, 4) V’(–1, –4) V’(4, 1)
Answer:
V' = (-1, -4)
Step-by-step explanation:
the original point V (4, -1) is 4 units to the right and 1 unit down.
now we turn this 90° clockwise (upper right to down to upper left).
that means the right part of the x-axis turns into the bottom part of the y-axis, and the bottom part of the y-axis into the left part of the x-axis.
so, positive x turns into negative y, and the negative y turns into negative x.
therefore, (4 -1) turns into (-1, -4).
Answer:
C V'(-1,-4)
Step-by-step explanation:
Finding the Coordinate for a 90° Rotation
The point V(4, –1) is rotated 90° clockwise around the origin.
What are the coordinates of its image V’?
V’(1, 4)
V’(–1, 4)
(V’(–1, –4)) this one <-------
V’(4, 1)
Anita can iron a dress shirt in 15 minutes, but
it takes Michelle 18 minutes to do the same.
Working together, how many minutes will it take
them to iron 11 dress shirts?
The number of minutes it will take both of them to iron 11 dress shirt is 90 minutes
Rate:
Rate is the ratio between two related quantities in different units. Therefore,
Anita iron a shirt in 15 minutes. Therefore,
rate = 1 / 15Michelle iron the same shirt for 18 minutes. Therefore,
rate = 1 / 18Let the time they use to work together = x
Therefore,
1 / x = 1 / 15 + 1 / 181 / x = 18 + 15 / 270
1 / x = 33 / 270
cross multiply
270 = 33x
x = 270 / 33
x = 90 / 11
Both of them will use 90 / 11 minutes to iron a dress shirt
Therefore, 11 dress shirt will be ?
number of minutes to iron 11 dress shirt together = 11 × 90 / 11 = 90 minutes
learn more on rate here: https://brainly.com/question/1119145
AB is congruent to DE because segment DE was constructed so that DE = AB. BC is congruent to EF because segment EF was constructed so that EF = BC. Since ADEF is a right triangle, DE+ EF? = DF? by the We are given that AB + BC2 = AC? Since DE = AB and EF = BC, DE2 + EF2 = AC? by the Also, DF2 = AC2 by the Taking the square root of both sides of the equation gives DF = AC. So, AC is congruent to DF by the definition of congruence. Applying the AABC - ADEF. By CPCTC, ZB _ZE. Therefore ZB is a right angle and AABC is a right triangle.
DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
Congruent shapeTwo shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.
Given that DE = AB and BC = EF.
In right triangle DEF, using Pythagoras:
DF² = DE² + EF²
Also, In right triangle ABC, using Pythagoras:
AC² = AB² + BC²
But DE = AB and EF = BC, hence:
AC² = DE² + EF²
AC² = DF²
Taking square root of both sides, hence:
AC = DF
Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
Find out more on Congruent shape at: https://brainly.com/question/11329400
pythagorean theorem, division, substatution, SAS
Step-by-step explanation:
edmentum
Solve for X round to the nearest tenth of a degree if necessary
Answer:
63.4
Step-by-step explanation:
x° is an acute angle in a right triangle with the opposite and adjacent sides given. That means the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(x°) = 18/9 = 2
The value of the angle is found using the inverse tangent function:
x° = arctan(2) ≈ 63.4°
x = 63.4 . . . . . . . rounded to tenths
PLS HELPP ASP
Whats the sum of
8 1/2 2 1/2
Answer:
11
Step-by-step explanation:
1/2 + 1/2 is 1
8 + 2 = 10
1 + 10 = 11
the radius of a circle is 7 cm .the circle is divided into two equal parts .what is the perimeter of the semi circular part
Answer:
P = 35.98 cm
Step-by-step explanation:
The Perimeter of a shape is the distance around the outside of it. This semi-circle (half circle) has a straight part and the curved part. See image. The straight part is the diameter (distance through the center) it is double the radius that was given, 7 cm.
The circumference of a circle is the perimeter of the whole circle.
C = 2pi•r or pi•d
C = 2pi•7 = 14pi
But you only need half, so 14pi/2 is 7pi.
ADD the straight part and the curved part to get the whole distance around the shape
P = 14 + 7pi
P ~= 35.98 cm
See image
Find the perimeter of the trapezoid
(5,1)( 5,-4) (1,1) (-2,-4)
Answer:
i cold not find the answer
Step-by-step explanation:
Evaluate |c 2 + b 2|, given a = 5, b = -3, and c = -2.
Hey there!
|c^2 + b^2|
= -2^2 + -3^2
= -2^2 - 3^2
= -4 - 9
= -13
Therefore, your answer is: -13
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
10
Step-by-step explanation:
|-2(2)-3(2)|
|-4-6|
|-10|
=10
a path is made of red and blue tiles a fifth of the tiles are red what is the ratio in simplest forms??
Answer:
The answer is 4:1
Step-by-step explanation:
Hope this helps!
Lily threw a ball. The balls equation that demonstrated its height and velocity is:
h(x) = -16x2 + 3x + 35
What was the initial height that she threw the ball from?
The initial height of the ball is the y-intercept of the function
The initial height she threw the ball from is 35
How to determine the initial heightThe function is given as:
[tex]h(x) = -16x^2 + 3x +35[/tex]
Set x = 0.
So, we have:
[tex]h(0) = -16 * 0^2 + 3*0 +35[/tex]
Evaluate the exponent
[tex]h(0) = -16 * 0 + 3 * 0 + 35[/tex]
Evaluate the products
[tex]h(0) = 0 + 0 + 35[/tex]
Evaluate the sum
[tex]h(0)= 35[/tex]
Hence, the initial height she threw the ball from is 35
Read more about quadratic functions at:
https://brainly.com/question/14477557
A standard DVD has a surface area of 134 cm2 depending on formatting it holds either 4.7 or 8.5 gigabytes find the data density in both cases
Step-by-step explanation:
Data density = Data capacity / surface areaUse the formula to find the answer:
1.
4.7 /134 = 0.0351 Gb/cm²2.
8.5/134 = 0.0634 Gb/cm²Note. the numbers above are rounded
Simplify the expressions
1. x - 2 + 3x + 8
2. 2(-1.5x + 3) + (5x - 2)
3. (x + 3) - (2x - 1)
4. (4 - x) - 2 (-5x + 3)
5. (-4x + 3) + (9x - 5)
6. 3 (-3x - 4) - (3x + 5)
7. (-8x + 4) - (7x - 7)
8. 1/2 (x - 6) + 1/4 (x + 12)
9. (-2x - 3) - (2x - 10)
10. (-4x - 2) + 1/2 (12x - 22)
11. 2 (4.4 - 2x) + 4 (-x + 3)
12. (-2x + 5) - (-3x + 11)
Answer:
1) 2(2x+3)
2) 2x+4
3) - X + 4
4) 9x - 2
5) 5x−2
6) - 12x - 17
7) - 15x + 11
8) 3x/4
9) - 4x + 7
10) 4x-26/2
11) - 8x + 20.8
12) x - 6
Rob eats a hamburger that has 415 calories for lunch. He also eats French fries that are 10 calories each. If Rob consumed 645 calories, how many French fries did he eat?
One angle of a parallelogram measures 162°. What are the measures of the other three angles in the parallelogram?
Answer:
The important properties of parallelograms to know are:
-Opposite sides of parallelogram are equal (AB = DC).
-Opposite angles of parallelogram are equal (D = B).
-Consecutive angles in a parallelogram are supplementary (A + D = 180°).
-If one angle is 90 degrees, then all other angles are also 90 degrees.
FROM
SURAJ SAINI
Answer:
162,162,18,18
Step-by-step explanation:
each two opposite angles are equal
since there is an angle equals 162° then the opposite angle equals 162°
since the sum of all angles equal 360°
360-(162+162)= 36
so the sum of the other two opposite angle = 36 then the measure of one angle =36/2 =18°
Please help quick !
Answer:
1. Quadrant 2
2. Quadrant 3
Step-by-step explanation:
The quadrants are ordered in a 'c' pattern. The first quadrant has coordinates (x,y). The second quadrant has coordinates (-x,y). The third quadrant has coordinates (-x,-y). The fourth quadrant has coordinates (x,-y).
Answer:
quadrent 2 for question 1 ( negative x positive y) quadrant 3 for number 2 ( negative x and y)
Khloe made 20% of her free throws over the season. If she shot 240 free throws, how many did she make?