Answer:
B. [tex]y=-\frac{2}{3}x+5[/tex]
Step-by-step explanation:
Equation of a line: y=mx+b (Where m is the slope and b is the y- intercept)
Parallel lines have the same slope.
So that means that the line will have the slope [tex]-\frac{2}{3}[/tex].
So we can write the equation of the line as y= -2/3x+b
Since it goes through the point (3,3) we can plug in 3 for x and y by doing:
[tex]y=-\frac{2}{3} x+b\\3=-\frac{2}{3} (3)+b\\3=-2+b\\b=5[/tex]
Now we know the y intercept (b) we can write the equation of the line.
[tex]y=-\frac{2}{3}x+5[/tex]
The equation of the line would be equal to y= -2/3x + 5
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
The Equation of a line: y=mx+b
Where m is the slope and b is the y- intercept
Since Parallel lines have the same slope.
So we can write the equation of the line as;
y= -2/3x+b
Since it goes through the point (3,3) we can plug in 3 for x and y
y= -2/3x+b
3 = -2 + b
b = 5
Now we know the y intercept (b) we can write the equation of the line.
y= -2/3x + 5
Learn more about equations here;
brainly.com/question/25180086
#SPJ2
solve for x
your answer must be simplified
[tex] \frac{x }{ - 9} \geqslant 3[/tex]
Answer:
x ≤ -27
Step-by-step explanation:
multiply each side by -9
when multiplying or dividing an inequality by a negative value you must reverse the inequality symbol
Find the surface area of the come in terms of pi
Answer:
1157.91 or rounded 1157.9 or 1158
Step-by-step explanation:
π • r^2 • (h/3)
π • 10^2 • 11/3
What is the slope of the line that passes through the points (-5, 8) and (-11, 8)
there is given the numbers equals to 8 and DC equals to 3.2 and BE quals to 9 and find BC
Given:
Consider [tex]AB\parallel DE[/tex] in triangle ABC and [tex]AD=8,DC=3.2,BE=9[/tex].
To find:
The length of BC.
Solution:
Basic proportionality theorem (BPT): If a line intersect the two sides of triangle and parallel to the third side, then that line intersects the other two sides proportionally.
Using Basic proportionality theorem, we get
[tex]\dfrac{AD}{DC}=\dfrac{BE}{EC}[/tex]
[tex]\dfrac{8}{3.2}=\dfrac{9}{EC}[/tex]
On cross multiplication, we get
[tex]8\times EC=9\times 3.2[/tex]
[tex]EC=\dfrac{28.8}{8}[/tex]
[tex]EC=3.6[/tex]
Now,
[tex]BC=BE+EC[/tex]
[tex]BC=9+3.6[/tex]
[tex]BC=12.6[/tex]
Therefore, the length of side BC is 12.6 units.
The range of a data set is 14. If the smallest number in the set is 24.
What is the largest number?
A ball is thrown into the air with an upward velocity of 28ft/s. Its height h in feet after t seconds is given by the function h = -16t^2 + 28t + 8
Answer:
In bold below.
Step-by-step explanation:
Find derivative which gives the velocity:
V = h' = -32t + 28
At maxm height V = 0 so
-32t + 28 = 0
Time to reach maxm height t = -28/-32 = 0.875 seconds.
So maxm height
= -16(0.875)^2 + 28*0.875 + 8
= 20.25 ft.
can some one answer my question i put up plz and ill mark you the b and give you 50 points
Answer:
what is your question
Step-by-step explanation:
Find the value of x.
10
11
12
13
Answer:
11=x
Step-by-step explanation:
PLEASE LOOK AT THE PICTURE I REALLY NEED HELP AND ILL APPRECIATE IT IF SOMEONE HELPS ME
Help, please! I want to finish this last quarter good or I may get kicked out. Thank you!!
HELP ME PLEASE find EC
Answer:
12
Step-by-step explanation:
if only EC is a diameter and DO is a radius
HELP ASAP!!!! Rosa has 4 1/2 pounds of pizza dough. She uses 3/4 of a pound for one pizza. How many pizzas could be made from Rosa's dough?
Answer:
6
Step-by-step explanation:
3/4
1 1/2
2 1/4
3
3 3/4
4 1/2
Sorry if this doesn't make sense, I hope I helped though!
Henry was thinking of a number. Henry adds 9.2 to the number, then doubles the result to get
an answer of 12.5. Form an equation with x from the information.
Answer:
2(9.2+x)=12.5
Step-by-step explanation:
Henry is adding 9.2 to your number, x, and after he adds it, he doubles it. This will then allow him to get the answer 12.5
Please help ASAP. No links for an answer please or I will report you'8th grade
Answer:
2.389 × 10^5
Step-by-step explanation:
the coefficient must be between 1 to 10
Work out the probability that the spinner will land on 3
Answer:
https //ryan group.topper.school/ login
4 to the power of 6 multiplied by 4 to the power of 7
Answer:
Step-by-step explanation:
it would be 67108864
Answer:
[tex]4^{13}[/tex]
Step-by-step explanation:
In exponents multiplication, if base are same , add the powers
[tex]a^{m}*a^{n} = a^{m+n}\\[/tex]
[tex]4^{6}*4^{7}= 4^{6+7} = 4^{13}[/tex]
what is 4 minus 7 plus 9 =8
Answer: 15
Step-by-step explanation:
4-7+9=8
+7 +7
4+9=15
15=15
Answer:
Step-by-step explanation:
Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up? (5 points) a 410 over 2500 b 440 over 2500 c 32 over 50 d 42 over 50
Answer:
Its D hope this help byee
Answer:
It is D I got this correct on the test.
Step-by-step explanation:
Given that the slope of the graphed linear function is -3, which formula could represent the function?
es -
A)
y = -3x + 4
B)
y = -3(x + 4)
y = -3x - 4
D)
y = -3(x - 4)
Answer: y= -3(x+4)
Step-by-step explanation:
HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!
2. Currently, Yamir is twice as old as Pato. In three years, the sum of their ages will be 30. If Pato's current age
is represented by a, which of the following equations could be used to correctly solve for a?
(1) a + 2a + 3 = 30
.(2) a + 2a +6 = 30
(3) (a +3)+2(a +3) = 30
(4) a +2(a +6)= 30
Given:
Yamir is twice as old as Pato.
In three years, the sum of their ages will be 30.
Pato's current age is represented by [tex]a[/tex].
To find:
The equation that could be used to correctly solve for [tex]a[/tex].
Solution:
We know that, Pato's current age is represented by a, then
Yamir's age = [tex]2a[/tex]
After three years,
Pato's age = [tex]a+3[/tex]
Yamir's age = [tex]2a+3[/tex]
In three years, the sum of their ages will be 30.
[tex](a+3)+(2a+3)=30[/tex]
[tex](a+2a)+(3+3)=30[/tex]
[tex]a+2a+6=30[/tex]
Therefore, the correct option is 2.
I need help please!!
The hypotenuse of a right triangle is 10 inches long. The longer leg is 2 inches longer than the shorter leg. Find the side lengths of the triangle.
Answer: Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
Step-by-step explanation:
Let the shorter leg bw represented by x.
Therefore, the longer leg will be x+2.
The hypothenuse is 10inches
We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:
x² + (x+2)² = 10²
x² + x² + 4x + 4 = 100
2x² + 4x = 100 - 4
2x² + 4x = 96
2x² + 4x - 96 = 0
x² + 2x - 48 = 0
x² + 8x - 6x - 48 = 0
x(x + 8) -6(x + 8) = 0
x - 6 = 0
x = 0+6.
x = 6
Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
calculate the following -50(20-25)+30(-10+7)-20(+16+12)
Answer:
-400
Step-by-step explanation:
helpp nowww i will give branliest
Answer:
Z
Step-by-step explanation:
Y axis is the line thats up and down
Answer: Z
Step-by-step explanation: pls if im correct give me brainliest, if not correct give it to some one else
Hey please help me this is an Angle sum theorem!!!
Answer:
900° and 1260°
Step-by-step explanation:
The sum of the interior angles of a polygon is calculated as
sum = 180° (n - 2) ← n is the number of sides
(2)
Here n = 7 , then
sum = 180° × 5 = 900°
(3)
Here n = 9 , then
sum = 180° × 7 = 1260°
Trains Two trains, Train A and Train B, weigh a total of 508 tons. Train A is heavier than Train B. The
difference of their weights is 440 tons. What is the weight of each train?
pls help and neatly show work !!
Answer:
see explanation
Step-by-step explanation:
The zeros of the graph are x = - 4 and x = 2 , then the factors are
(x + 4)(x - 2) and
y = a(x + 4)(x - 2) ← a is a multiplier
To find a use any other point on the graph and substitute into the equation
Using (0, - 8 ) , then
- 8 = a(4)(- 2) = - 8a ( divide both sides by - 8 )
1 = a
y = (x + 4)(x - 2) = x² + 2x - 8
with b = 2 and c = - 8
The graph is increasing from the turning point ( vertex) to the right
vertex = (- 1, - 9 )
Increasing in the interval [- 1, ∞ )
When graphing c=12, would you use an closed circle or opened circle?
Answer:
closed
Step-by-step explanation:
because its = not -< or>-
In ⊙Q, mJK=180° and mLM=116°. What is m∠1?
Answer:
64degrees
Step-by-step explanation:
From the given diagram;
m<LK = 180degrees
m<LM = 116degrees
Required
m<1
Since <1 and <LM lies on the same straight line, hence;
m<1 + m<LM = 180
m<1 + 116 = 180
m<1 = 180 - 116
m<1 = 64degrees
Hence the measure of m<1 is 64degrees
Answer: 32
Step-by-step explanation:
2a+180+116=360
2a=64
a=32