28. The choose E . y=-3/2x29. The choose D. 4
A=(–2,–4) , B=(0,4)
m=(y2-y1)/(x2-x1)= (4-(-4)) / (0-(-2))=8/2=4
30. The choose E(x+2)(x+4)=x²+4x+2x+8=x²+6x+8
I hope I helped you^_^
Answer:
E, D and E
Step-by-step explanation:
(28)
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 2, 3) and (x₂, y₂ ) = B (2, - 3) ← 2 points on the line
m = [tex]\frac{-3-3}{2-(-2)}[/tex] = [tex]\frac{-6}{2+2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]
y = - [tex]\frac{3}{2}[/tex] x → E
(29)
Using the slope formula
with (x₁, y₁ ) = A (- 2, -4) and (x₂, y₂ ) = B (0, 4) ← 2 points on the line
m = [tex]\frac{4-(-4)}{0-(-2)}[/tex] = [tex]\frac{4+4}{0+2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → D
(30)
(x + 2)(x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 4) + 2(x + 4) ← distribute both parenthesis
= x² + 4x + 2x + 8 ← collect like terms
= x² + 6x + 8 → E
Can someone please help me on these 4 questions PLEASE HELP ME!!
Answer:4 ans x is -32/10
7 ans b is 6
10 ans x is 25/7
13 ans x is 9/2
Step-by-step explanation:
please mark this answer as brainlist
please help, i will give brainliest!
Answer:
hope that helps i don't know it either tho
need some help with this
Answer:
1/3
Step-by-step explanation:
Slope is rise over run
your rise is 1 (because you only go up one block each time)
your run is 3 ( because you go right three times)
so 1/3
I need help please and thank you!
Answer:
v is 198 m/s
Step-by-step explanation:
[tex]v = \sqrt{gh} \\ v = \sqrt{9.8 \times 4000} \\ v = 198 \: m {s}^{ - 1} [/tex]
A ladder 20m long rests against a vertical wall as that the foot of the ladder is 9m from the wall. Find, correct to the nearest degree, the angle that the ladder makes with the wall.
Answer:
If the ladder is 9 m from the wall
cos theta = 9 / 20 = .45 and theta = 63.3 angle made with floor
So the angle made with the wall is 90 - 63.3 = 26.7
If p (x) = x4 + 2x2 + 1 and q (x) = x4 – 2x2 + 1, find p (x) -q (x).
Answer:
the answer is 4x2
Step-by-step explanation:
p(X)-q(X) = x4 + 2x2 + 1 - ( x4 - 2x2 + 1 )
p(X)-q(X) = x4 + 2x2 + 1 - x4 + 2x2 - 1 )
p(X)-q(X) = 2x2 + 2x2
p(X)-q(X) = 4x2
Answer:
p(x) - q(x) = 4x²
Step-by-step explanation:
p(x) - q(x)
= [tex]x^{4}[/tex] + 2x² + 1 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute parenthesis by - 1
= [tex]x^{4}[/tex] + 2x² + 1 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms
= 4x²
Three dressers are placed side by side. One dresser is 5 feet 5 inches wide, another is 5 feet 10 inches wide, and the third is 3 feet 11 inches wide. How wide are they combined?
Answer:
15 feets 2 inches
Step-by-step explanation:
Given the widths :
1st dresser = 5 feets 5 inches
2nd dresser = 5 feets 10 inches
3rd dresser = 3 feets 11 inches
Their combined width is :
5ft + 5ft + 3 ft + 5in + 10in + 11in
13 feets 26 inches
Recall :
1 foot = 12 inches
26 inches = 26/12 feets = 2 feets 2 inches
Hence,
13 feets + 2feets 2 inches
Combined width = 15 feets 2 inches
3x^3(4x^4)=?
i need this plz
Answer:
12x^7.
Step-by-step explanation:
3x^3(4x^4)=
3*4 * x^(3+4)
= 12x^7.
-3x8y=20
What’s the solution?
Answer:
y=-5/6
Step-by-step explanation:
-24y=20
y=-5/6
alternate:
-0.83
(24 ÷ 6 - 2 + 5 × 3 × (-1 - 3) ÷ 4)^2 How do you solve this? Help me I need this ASAP!!
Answer:
169
Step-by-step explanation:
PEMDAS
Parenthesis first
Add -1 and -3 which is -4
Divide 24 by 6 which is 4
(4-2+5*3*-4÷4)^2
(4-2-15)^2
(2-15)^2
(-13)^2
Which is 169
16 - 2r = 3r + 6r + 1
what is r?
[tex]\\ \sf\longmapsto 16-2r=3r+6r+1[/tex]
[tex]\\ \sf\longmapsto 16-2r=9r+1[/tex]
[tex]\\ \sf\longmapsto 16-1=9r+2r[/tex]
[tex]\\ \sf\longmapsto 11r=15[/tex]
[tex]\\ \sf\longmapsto r=\dfrac{15}{11}[/tex]
Answer: r = 15/11
Step-by-step explanation:
Given
16 - 2r = 3r + 6r + 1
Combine like terms
16 - 2r = 9r + 1
Add 2r on both sides
16 - 2r + 2r = 9r + 1 + 2r
16 = 11r + 1
Subtract 1 on both sides
16 - 1 = 11r + 1 - 1
15 = 11r
Divide 11 on both sides
15 / 11 = 11r / 11
[tex]\boxed{r=\frac{15}{11} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the image of the given point
under the given translation.
P(-7,1) T(x,y) = (x + 9, y-3)
P' = ([?], []).
Answer:
P' = (2, -2)
Step-by-step explanation:
You have the x-value and the y-value of the pre-image, so all you have to do is plug that into the translation statement (x + 9 , y - 3).
Since x = -7 and y = 1 that would be (-7 + 9, 1 - 3), or (2, -2).
Please Help!!!!!!!
Janet is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the
probability that Janet will get a blue or yellow marble on the first draw and a pink on the second draw?
(3 green, 4 yellow, 5 blue, 8 pink)
7/50
9/50
17/40
(Answer:
P(Bl or Yl) = 45%
(Pk on 2nd draw) = 18%
Step-by-step explanation:
There are a total of 20 marbles (3 + 4 + 5 + 8) in the bag. Since each marble is replaced once drawn, there is no change in the total count from one draw to another (unconditional probability).
So
P(Bl or Yl) = (5 + 4)/20 = 9/20 = .45 = 45%
Then
P(Pk on 2nd draw) = P(1st draw) * P(2nd draw)
= 9/20 * 8/20 = 72/400 = 9/50 = .18 = 18%
[tex]\sqrt{x} +\sqrt{5} =\sqrt{12}[/tex]
2/4.7+2/7.10+2/10.13+2/13.16+.....+2/49.52
tính giá trị biểu thức
It looks like you're trying to evaluate the sum,
[tex]\displaystyle \frac2{4\times7} + \frac2{7\times10} + \frac2{10\times13}+\cdots+\frac2{49\times52}[/tex]
which can be written as
[tex]\displaystyle \sum_{n=1}^{16} \frac2{(3n+1)(3n+4)}[/tex]
Split up the summand into partial fractions:
[tex]\displaystyle \frac2{(3n+1)(3n+4)} = \frac a{3n+1} + \frac b{3n+4} \\\\ \implies 2 = a(3n+4)+b(3n+1) \\\\ \implies 2 = (3a+3b)n+4a+b[/tex]
so that
3a + 3b = 0, or a = -b
4a + b = 2
Solve for a and b :
4a + (-a) = 3a = 2 ==> a = 2/3 ==> b = -2/3
So the sum is
[tex]\displaystyle \frac23 \sum_{n=1}^{16} \left(\frac1{3n+1} - \frac1{3n+4}\right)[/tex]
Write out the first terms and observe that several terms cancel with each other:
2/3 (1/4 - 1/7)
+ 2/3 (1/7 - 1/10)
+ 2/3 (1/10 - 1/13)
+ …
+ 2/3 (1/43 - 1/46)
+ 2/3 (1/46 - 1/49)
+ 2/3 (1/49 - 1/52)
So the sum collapses and simplifies to
[tex]\displaystyle \sum_{n=1}^{16} \frac2{(3n+1)(3n+4)} = \frac23 \left(\frac14 - \frac1{52}\right) = \boxed{\frac2{13}}[/tex]
6 + 9 - 5 x 10 ÷ 5 + 1/2 of (90 - 25 + 5) =
Answer:
40
Step-by-step explanation:
B I D M A S
(90 - 25 + 5) = 70
1/2 x 70 = 35
10 ÷ 5 = 2
5 x 2 =10
6 + 9 = 15
15 - 10 = 2
.... cba
I need the answer to his question soon, please help!
Answer:
b=x+1
Step-by-step explanation:
The equation is:
[tex]2x^2}+x-1=\frac{1}{2} b(4x-2)[/tex]
Isolate b by subtracting and dividing.
You end up with b= x+1
solve for m - hp = d for p
please actually help this is my first assignment of the year and can’t fail
thực hiện phép tính
√2+√3 - √2-√3
Answer:
Answer = 0
Step-by-step explanation:
√2+√3 - √2-√3
= 0
Hope this answer helps you :)
Have a great day
Mark brainliest
Can someone please help me.... I am confused.
Answer:
P1 =(-6,-2)
P1=8
P2(-4,-1)
P2=5
Find the value of x for which ABCD must be a parallelogram
a. 0
b. 25
c. 4
d. 7
Answer:
d. 7
Step-by-step explanation:
A parallelogram has equal opposite sides that are parallel to each other. Therefore, opposite interior angles would be congruent to each other.
Thus:
3x - 17 = 25 - 3x
Add 3x from each side
3x - 17 + 3x = 25 - 3x + 3x
6x - 17 = 25
Add 17 to both sides
6x - 17 + 17 = 25 + 17
6x = 42
Divide both sides by 6
6x/6 = 42/6
x = 7
what is the measure of angle A
Answer:
a = 53
Step-by-step explanation:
Start with d
The ends of d + 53 are diameter ends. That means that d + 53 is a right angle
d + 53 = 90
d = 90 - 53
d = 37
Next, find b. The end points of b are the same end points as for 53 degrees. B is the central angle of 53 which means b = 2 * 53
b = 106
c is the supplement of b
c + b = 180
b = 106
c + 106 = 180
c = 180 - 106
c = 74
The triangle containing a and c is isosceles because 2 of the 3 angles are opposite radii. The lowest angle is also a because it is opposite one of the radii.
a + a + 74 = 180
2a = 180 - 74
2a = 106
a = 106/2
a = 53
Hard to believe, but there it is.
If lines AB and CD are paralell, which of the following statements is true? Check All That Apply
Answer:
D and E is the answer..
Step-by-step explanation:
nothing to explain .. D has the symbol of parallel.. and all parallel lines are coplaner
The correct answers are option D and option E that is AB || CD and the lines AB and CD are coplanar.
What are parallel lines?The lines which do not intersect each other at any point they can only intersect at infinity are called parallel lines. All the parallel lines are coplanar to each other.
From the above explanation, the parallel lines are represented as AB || CD and also coplanar to each other.
Therefore the correct answers are option D and option E that is AB || CD and the lines AB and CD are coplanar.
To know more about parallel lines follow
https://brainly.com/question/16742265
#SPJ2
PLEASE HELP ME!!! It’s due before 7pm
Step-by-step explanation:
Solution:Total length of the board=95 cm
:One piece must longer 13 cm than other piece
Equation:95cm=X+X+13cm
:95cm-13cm=2x
:82cm=2x
:X=41 cm-Length of the smaller piece
:X=41cm +13cm=54cm-Length of the larger piece
Therefore the length of the smaller piece is 41cm and the length of the larger piece is 54cm.
If the square of the hypotenuse of an isosceles right triangle is 98cm2 find the length of each side
Answer:
7
Step-by-step explanation:
Let the each leg be x so,
√(x²+x²)=√98
or, √(2x²)=√98
or, x√2=7√2
or, x=7
a coin is tossed and a number cube is rolled. What is the probability of tossing heads and rolling a 3 or a 5
Answer: 1/6
Step-by-step explanation:
Probability of getting heads = 50/100
= 1/2
Probability of tossing a 3 or 5 = 2/6
= 1/3
Now probability of getting both = 1/2×1/3
= 1/6
Please click thanks and mark brainliest if you like
Answer:
1/6
Step-by-step explanation:
There are two possible outcomes for tossing a coin
heads and tails
P(heads)= heads/ total = 1/2
Rolling a die has 6 possible outcomes 1,2,3,4,5,6
P*3 or 5) = 3 or 5 /total = 2/6 = 1/3
Multiply the probability of independent events together
1/2 * 1/3 = 1/6
what is the total cost
Answer:
Step-by-step explanation:
We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?
C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,
C = (3.14)(26) so
C = 81.64 m for a whole circle, and for half of that circle, the circumference is
C = 40.82 m
Now we can find the perimeter of the rink:
40.82 + 61 + 26 + 61 = p so
p = 188.82 m
If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is
[tex]cost=\frac{6.20dollars}{meter}*188.82meters[/tex]. The label "meter" cancels out, leaving us with
cost = $1170.82
Solve for x.
3x + 2
2x + 6
x = [?]
Answer:
4
Step-by-step explanation:
Im assuming you mean the first and second equation equal each other:
3x+2=2x+6
x=4
When think of a number double it
and add five and get 13 What the number I
Thought
Let the no be x
ATQ
[tex]\\ \sf\longmapsto 2x+5=13[/tex]
[tex]\\ \sf\longmapsto 2x=13-5[/tex]
[tex]\\ \sf\longmapsto 2x=8[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{8}{2}[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
If a = x+21, b = 4, c = x + 3, and d = 10, then the value of x =
Using the intersecting chord theorem:
a x b = c x d
x+21 * 4 = x+3 * 10
Simplify:
4x+84 = 10x+30
Subtract 30 from both sides:
4x + 54 = 10x
Subtract 4x from both sides:
54 = 6x
Divide both sides by 6:
x = 9
Answer:
x=9
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
ab = cd
(x+21) *4 = (x+3)*10
Distribute
4x+84=10x+30
Subtract 4x from each side
84 = 10x-4x+30
84 = 6x+30
Subtract 30 from each side
54 = 6x
Divide by 6
54/6 = 6x/6
9=x