Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x - 3y = 12 ( subtract 2x from both sides )
- 3y = - 2x + 12 ( divide all terms by - 3 )
y = [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex] and y- intercept c = - 4
2
The line y = [tex]\frac{2}{3}[/tex] x - 4
has slope m = [tex]\frac{2}{3}[/tex] → B
Answer:
11.slope intercept form:
y=2/3x-4
2. slope;
2/3
Step-by-step explanation:
1. make y the subject
2. =mx+c
m is the slope therefore 2/3 is the slope
The sum of two consecutive numbers is n+1. What are the numbers?
Answer: n/2, n/2+1
Step-by-step explanation:
Consecutive numbers are always 1 more than the previous (n, n+1, n+2, n+...), and their sums are (like) n+n+1 or 2n+1 (n is the first number).
So in this situation (x is the first number);
n+1=x+x+1
n=x+x, n=2x
n/2=x
Meaning that the first number is n/2, and the second (n/2)+1 or just n/2+1.
I'm bad at explaining.
What is the measurement of A, B, C, D, W, X , Y and Z
please help !
Hey!!!
Here's your answer:
<A=7x+40
<B=60 degree
7x+40+60=180( sum of angle in straight line)
or,7x+100=180
or,7x=180-100
or,7x=80
or,X=80/7
X=11.42
Now,
Replacing value,
<A=7x+40
=7*11.42+40
=79.94+40
= 119.94 degree
<B=60 degree
<C=<A[ being vertically opposite angles]
<C=119.94 degree
<D=<B[being vertically opposite angles]
<D=60 degree
<W=<A[ being corresponding angles]
<W=119.94 degree
<X=<B[being corresponding angles]
<X=60 degree
<Y=<W[being vertically opposite angles]
<Y=119.94 degree
<Z=<X[being vertically opposite angles]
<Z=60 degree.
Hope it will help you
Good luck on your assignment
Is LNM= OQP? If so, name the postulate that applies.
A. Congruent - SSS
B. Congruent - SAS
C. Might not be congruent
D. Congruent - ASA
Answer:
Answer B is correct
Step-by-step explanation:
Congruent - SAS
LM = OP (side)
MN = PQ (side)
<M = < P ( angle)
LMN TRIANGLE congruent to PQO TRIANGLE (SAS)hope this helps
brainliest appreciated
good luck! have a nice day!
Yes, ΔLMN ≅ ΔPQO. The postulate that applies as congruent is SAS. The correct answer is B.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
Given,
side LM ≅ side OP
side MN ≅ side PQ
∠M = ∠P
As per the shown figure, we have two triangles consist:
LM = OP (side)
∠M = ∠P ( angle)
MN = PQ (side)
According to Side-Angle-Side criterion, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
Thus, ΔLMN congruent to ΔPQO.
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In a 30-60-90 triangle, if the shorter leg is 12, the hypotenuse is
А
12/3
B
12/2
24
D
36
Hey there! I'm happy to help!
In a 30-60-90 triangle, the shorter leg is always 1/2 of the hypotenuse. This can be proven using many different methods and there a lot of interesting videos out there about it. This is useful in geometry, trigonometry, and more.
So, if we know that the shortest leg is 12, we can make the following equation. We will have h represent the hypotenuse.
1/2h=12
Now, we simply divide both sides by 1/2 (which is the same as multiplying both sides by two.
h=24
Therefore, the hypotenuse is C) 24.
I hope that this helps! Have a wonderful day!
Two parallel lines are cut by a transversal as shown below
Answer:
<2 and <4 = 74 degrees
Step-by-step explanation:
<7=<1, alt exterior angles
<1=<3, opposite angles
<1+<2= 180
since angle one is 106 just subtract 106 from 180 and you get 74= <2
<2 and <4 are opposite angles so they are congruent
therefore, <2 and <4 = 74 degrees.
Stefani slices a right rectangular pyramid with a plane and the cross-section is in the
shape of a trapezoid. How does Stefani slice the pyramid?
А
parallel to the base through the vertex
В
perpendicular to the base through the vertex
C parallel to the base but not through the vertex
D perpendicular to the base but not through the vertex
Answer:
Option D.
Step-by-step explanation:
If Stefani slices the pyramid
Option A). parallel to the base through vertex, cross section will not be a trapezoid.
Option B). perpendicular to the base through the vertex, cross section will be a triangle.
Option C). parallel to the base but not through the vertex, cross section will be a rectangle.
Option D). Perpendicular to the base but not through the vertex, cross section will be a trapezoid.
I dunno how to do this im just hoping people know the answer
Answer:
its always wrong
Step-by-step explanation:
any variable always has a holder of 1
so 01b doesnt equal 4
Answer:
coz it will be undefined
Step-by-step explanation:
coz it will be UNDEFINED
4/0=undefined
Which scatterplot has a correlation coefficient closest to r= 1?
Answer:
-1
Step-by-step explanation:
in statistics, the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot. The value of r is always between +1 and –1. To interpret its value, see which of the following values your correlation r is closest to: Exactly –1.
hope this help
Answer:
the first graph
Step-by-step explanation:
Y=1/2x+13
Equation of a parallel line ?
Equation of a perpendicular line ?
Explain how you know if two lines are parallel or perpendicular based on their equations
Answer:
1) y=1/2x+12
2)y=-2x+13
3) Parallel lines have same slope, different y intercept and perpendicular lines have opposite reciprocal slopes.
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
Y = mx + b is the slope-intercept form of a straight line where m = the slope of the line and b is the y-intercept.
Parallel lines have the same slope so the equation of a line parallel to
y = 1/2x + 13 could be y =1/2x + 10 as they have the same slope of 1/2.
Equations which are perpendicular:
If the slope of one is m then the slope of the perpendicular equation is -1/m.
So for y = 1/2 x + 13 an equation perpendicular could be y= -(1 / 1/2) + 13
= y = -2x + 13
This is found by multiplying pi by the radius squared
Which best completes the following sentence?
Triangles are congruent if they have the same
Answer:
shape and size
Step-by-step explanation:
When two triangles are congruent, they are the same via the size of it such as the angles they have. If one triangle has 30-60-90, the other also has 30-60-90, with the same shape.
Answer:
Size and shape.
Step-by-step explanation:
Size and shape.
All three angles and all three sides are congruent.
Which of these numbers rolands to 7.6?
7546
• 7630
7670
7720
Answer:
do you still need the answer?
Step-by-step explanation:
Using the order of operations, what should be done first to evaluate (-2)³ + 4 ÷ (-15 + 9)(3) - 4? Add -15 and 9. Divide 4 by -15. Subtract 4 from 3. Multiply 9 by 3.
Answer:
add -15 and 9
Step-by-step explanation:
Andy runs the same number of miles, x, every day. His total distance run for one week is less than 60 miles. Which inequality represents how many miles Andy
runs each day?
A. 7+ x <60
B. 7 + x>60
C. 7x > 60
D. 7x < 60
Help meeee
Answer:
D
Step-by-step explanation:
Happy I could help!
What is the surface area of this solid?
Answer:
SA. = 62.8 +87.92= 150.72
Step-by-step explanation:
surface area of cone without base = pi*r*s = 3.14 * 2* 10 = 62.8
Surface area of cylinder without base = 2*pi*r*h + pi*r*r
= 2* 3.14 * 2 * 6 + 3.14*2*2
= 75.36 + 12.56 = 87.92
SA. = 62.8 +87.92= 150.72
The required surface area of the solid is 150.72.
Given
slant length of cone = 10
length of cylinder = 6
Common radius = 2
What is surface area?
Surface area is defined as the area of the surface that are uncovered.
Surface area of cone = π x r xs
= 3.14 x 2 x 10
= 62.82
Surface area of cylinder = 2 x π x r x h + π x r²
= 2 x 3.14 x 2 x 6 + 3.14 x 2 x 2
= 87.9
The required surface area of solid= surface area of cone + surface area of cylinder
= 62.80 + 87.9
= 150.72
Thus, the required surface area of the solid is 150.72.
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On May 29, 2005, Danica Patrick was named the first female Indy 500 Rookie of the
Year after her 4th place finish; the best Indy 500 finish of any woman in the event's
history. Danica completed the race in a time of 2.779 h. What was her average speed
during the 50 mile race? Express your answer in mph for "Miles per Hour".
Answer:
I'm not 100% sure (sorry), but i think that the overall average speed was about 139 miles per hour
Step-by-step explanation:
1. What is the volume of 0.75 liters expressed in mm cubed?
Answer:
750,000 mm^3
Step-by-step explanation:
1 liter = 1000 cm^3
1 cm^3 = 1000 mm^3
0.75 liter * (1000 cm^3)/(1 liter) * (1000 mm^3)/(1 cm^3) = 750,000 mm^3
PLS ANSWER THIS AS SOON AS POSSIBLE I RlY NEED HELP WITH IT AND IDK WHICH IS THE RIGHT ANSWER PLS HELP. ps the lines on graph your able to change to find the answer. And the photos are the same thing its just i couldnt fit it in one photo
Answer:B
Step-by-step explanation:
Thats right
(-5x^2+2x+6)-(9x^2+2x+9)+(-6x^2+5x-3) simplified
Answer:
− 20 x ^2 + 5 x − 6
Step-by-step explanation:
Answer:
[tex]-20x^2+5x-6\\[/tex]
Step-by-step explanation:
Start by removing the grouping symbols (parentheses) using the sign rules:
[tex](-5x^2+2x+6)-(9x^2+2x+9)+(-6x^2+5x-3)=\\=-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3[/tex]
Then we re-order and combine like terms:
[tex]-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3=\\=-5x^2-9x^2-6x^2+2x-2x+5x+6-9-3=\\=-20x^2+5x-6[/tex]
Bruce’s hourly wage increased from $25.50 to $30.60. What rate of increase does this represent?
Hello !
((new value - old value) / old value) × 100
((30.60 - 25.50) / 25.50) × 100
= (5.10/25.50) × 100
= 0.2 × 100
= 20
→ The rate of increase is 20%
× × i hope i helped you ! × ×
I NEED ANSWER ASAP!
The sum of two numbers is 24. The second number is 4 more than the first number. Let a represent the first number and let b represent the second number. What are the two numbers? Use the table to answer the question.
1. 8 and 16
2. 10 and 14
3. 11 and 13
4. 15 and 9
Answer:
2. 10 and 14
Step-by-step explanation:
10 and 14 are the only numbers that are 4 apart.
How do you use math every day?
Answer:
Figuring out distance, time and cost for travel
shopping for the best price
Step-by-step explanation:
Find \tan(\alpha)tan(α)tangent, left parenthesis, alpha, right parenthesis in the triangle.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{24}{7}
7
24
start fraction, 24, divided by, 7, end fraction
(Choice B)
B
\dfrac{7}{24}
24
7
start fraction, 7, divided by, 24, end fraction
(Choice C)
C
\dfrac{24}{25}
25
24
start fraction, 24, divided by, 25, end fraction
(Choice D)
D
\dfrac{7}{25}
25
7
start fraction, 7, divided by, 25, end fraction
ANSWER IS: A) 24/7
Complete Question
Given the right triangle(SEE ATTACHED), find tan(α)
Answer:
(A) [tex]\tan(\alpha)=\dfrac{24}{7}[/tex]
Step-by-step explanation:
In the given right triangle,
From Trigonometry, we know that:
[tex]\tan(\alpha)=\dfrac{Opposite}{Adjacent}[/tex]
We determine the unknown side using Pythagoras theorem.
Let the unknown side be x
[tex]25^2=24^2+x^2\\x^2=25^2-24^2\\x^2=49\\x^2=7^2\\x=7$ units[/tex]
Therefore:
[tex]\tan(\alpha)=\dfrac{24}{7}[/tex]
The correct option is A
Answer:
ITS 7/25
Step-by-step explanation:
PLS HELP I MARK BRAINLIEST
There are 16 solar panels on the International Space Station.
What is the total area of the top surface of all 16 solar panels? Describe the process you used to solve the problem.
Answer:
460 kilometers
Step-by-step explanation:
The 262,400 solar cells cover around 27,000 square feet (2,500 m2) of space. 240 kilowatts of electricity can be generated from these solar arrays.which is an acre of solar panels and enough to power 10 average- sized homes with 110 kilowatts of power. The ISS orbits between 370 and 460 kilometers (230–286 miles) above Earth's surface.
Answer:
The total area of the top surface of all 16 solar panels should be 153,600 feet because the total area of one solar panel is 9,600 feet so since i need the total area of 16 i just multiply the total area of one solar panel with the amount of solar panels that i was given.
Step-by-step explanation:
Find the slope of a line containing the points (-2,-6) and (-6, -4)
Answer:
1/-2
Step-by-step explanation:
-4+6/-6+2
Answer:
-1/2
Step-by-step explanation:
20 POINTS PLEASE HELP ME. last question
REASONING Consider the circles A, B, C, and D.
SO in
a. Without calculating, circle
has the greatest circumference,
Explain
Answer:
The answer is at least 360 degrees.
Step-by-step explanation: A circle can't have more that a 360 degrees!
Please answer correctly !!!! Will mark brainliest !!!!!!!!
Answer:
B
Step-by-step explanation:
Well it can't be the bottom 2 because those are for range and this says to find the domain. How to find the domain you look at the first point and the last point. So in this case it would be -7 and 4 cause that's where the two points are. Does that make sense?
Hope I helped you!
Which is the equation of a line that has a slope of -2/3and passes through point
(-3,-1)?
The graphs below have the same shape. What is the equation of the blue
graph?
2002
F00 = x2
.
G(X) =
The correct option is B.
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
We are given 2 graphs in the diagram.
We are also given the equation of f(x) with its graph.
Furthermore, we have to find out the equation of g(x) from its graph.
We can see that the blue graph is just the red graph with its axis moved 2 units to the right.
We can find the horizontal transformation by:
g(x) = f(x - h)
Where h is the number of units we shift (to the right).
Since we shifted two units to the right, h = 2.
So, our new function will be:
g(x) = (x - 2)²
The correct option is B.
Hence, The correct option is B.
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(The given question is incomplete, the complete question is given below)
The graphs below have the same shape. What is the equation of the blue
graph?
f(x) = x²
g(x) = ?
A. g(x) = x² - 2
B. g(x) = (x - 2)²
C. g(x) = x + 2
D. Q(x) = (x + 2)²
Find the measure of angle ACE.Arc AB is 100 degrees,Arc AE is 120 degrees, and Arc De is 100 degrees.
60
80
40
100
Answer:
60 degrees
Step-by-step explanation:
The measure of the angle ACE is 60 degrees.
What is an Arc?An arc is simply a part of the circumference of a circle or other curve.
Finding the angle:as we have arc AE is 120 degrees.
Then by the properties of the interior and the exterior arc, arc BD, which is angle ACE is 120/2=60 degrees.
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