Answer: The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2
Step-by-step explanation: The equation of a straight line is given by:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
The slope of the line 2x + 5y = 10 is:
2x + 5y = 10
5y = -2x + 10
y = -2/5x + 10
Hence the slope of the line 2x + 5y = 10 is -2/5
Since both lines are parallel, hence the slope of the other line is the same (-2/5). Hence the equation of the line is:
The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2
Isolate y
[tex]\\ \sf\longmapsto 5y=-2x+10[/tex]
[tex]\\ \sf\longmapsto y=-2/5x+2[/tex]
m=-2/5Parallel line has equal slope
Equation of line in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y+4=-2/5(x-5)[/tex]
[tex]\\ \sf\longmapsto 5y+20=-2x+10[/tex]
[tex]\\ \sf\longmapsto 2x+5y+10=0[/tex]
Which is a better deal (assuming you like yoga and plan to go often)? Group of answer choices One yoga class for $14 A ten-class pack for $135 A 20-class yoga package for $260
Answer:
it is the $14 pack
Step-by-step explanation:
the reason it is the $14 pack is because you can buy 2 of them for $28 dollars and wont have o pay #135 or $260 for something like that.
BRAINLIEST
I could really use your help
Answer:
12 : 126
Step-by-step explanation:
Dc=28 there for the angle is 28
Step-by-step explanation:
the KL angle is 72
if angle d is 15 what is angle CED?
Answer:
135
Step-by-step explanation:
this seems like a continuation of the question which was answered previously
we know angle AEB=135, using vertical angle theorem, AEB and CED are congruent, so CED=135
hello what is 100^4
pls help asap my homework
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Solution ~
[tex]100 {}^{4} [/tex][tex]100 \times 100 \times 100 \times 100[/tex][tex]100000000[/tex]or it can also be expressed as ~
[tex]10 {}^{8} [/tex]
[tex]1 {0}^{8} \\ \\ hope \: \: it \: \: helps \\ \\ see \: \: the \: \: attachement[/tex]
Write the equation of a line that is parallel to the line y=−4x+1 and goes through the point (2,0).
Answer:
y=-4x+8
Step-by-step explanation:
Hi there!
We are given the line y=-4x+1, and we want to write the equation of the line that is parallel to that line and that also passes through the point (2, 0)
Parallel lines have the same slope, so it makes sense to find the slope of the line y=-4x+1
The line is written in the format y=mx+b, where m is the slope and b is the y intercept.
As -4 is in the place of where m should be, the slope of the line is -4.
It's also the slope of the line parallel to it.
We can write the slope of the new line in slope-intercept form as well; this is the line so far, after substituting -4 as m:
y=-4x+b
Now we need to find b, which is the value of the y intercept
Remember that are given the point (2,0), which we can use to help solve for b; substitute 2 as x and 0 as y.
0=-4(2)+b
Multiply
0=-8+b
Add 8 to both sides
8=b
Substitute 8 as b into the equation:
y=-4x+8
Hope this helps!
IS MITOSIS CELL REPLICATION?
A random sample of 150 adults was given an IQ test. It was found that 78 of them scored higher than 100. Based on this, compute a 99% confidence
interval for the proportion of all adults whose IQ score is greater than 100. Then find the lower limit and upper limit of the 99% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Answer:
answer in the link
Step-by-step explanation:
if the sum of two numbers is 15 and their difference is 7 what is the answer
Answer:
11 and 4 are the numbers you add to gether and they have a difference of 7
Step-by-step explanation:
Like and give 5 star rating
please help me with this for a brainly plus give explaantion on how you got that answer
I hate math sm I can’t understand any of this even though its probably so simply
What is linear algebra.
Answer:
Linear algebra is flat differential geometry and serves in tangent spaces to manifolds.
Step-by-step explanation:
Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.
Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics).
What are the zeros of f(x) = (x - 2)(x + 7)? Select all that apply.
x= 7
O x=2
0
x= -2
Ox--7
Solve each set of parentheses so they equal 0:
(X-2) = 0 add 2 to both sides : x = 2
(X + 7) = 0 subtract 7 from both sides: x = -7
The zeros are 2 and -7
Answer:
Value of x could be = 2 or -7
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
what's the opposite of 42?
Answer:
- 42
Step-by-step explanation:
The opposite of 42 is negative 42.
What is 3.468 rounded to the nearest tenth of an ounce?
Answer:
3.5
Step-by-step explanation:
The tenths place would be 0.1
So in 3.468 the 4 is in the tenths place
Look at the number to the right of it, if it is greater than 5 you round up and if it is 4 or lower you stay the same.
For 3.468 you would round up
So you would have 3.5
Have A GREAT day man
Sincerly, lipor
The electricity bill of Sarah’s house for the last month was $60, while for this month it is $120. If p is the percent increase in the amount, which proportion can be used to calculate p?
Answer:
100% increase
Step-by-step explanation:
The equation is, as we see (120-60)/60=x/100. If we multiply the whole equation by 100, we get (120-60)/60*100=x. We simplify to get a 100% increase.
which of the following statements must be true based on the diagram below? Select all that apply.
PLEASE HELP. WILL GIVE BRAINLIEST.
Answer:
t is a right angle q is a vertex of a right angle
50 Points Per Answer
Create a function in factored form for a roller coaster.
• Your coaster ride must have at least 3 relative maxima and/or minima
• The ride length must be at least 2 minutes (blueprint must use seconds)
• The coaster ride starts at 250 feet
• The ride dives below the ground into a tunnel at least once
• The ride must have one “turn around/bounce” (Mutliplicity 2)
• The ride must have at least one “twist/swerve” (Multiplicity 3)
• The ride must hit ground level at least three times (Three real zeros)
Answer:
Since you have 3 local extremas, you will have a polynomial function of degree 4. The domain of the function is [0, 4].
Use these initial conditions as your guidelines:
f(0) = 250
f(x) has at least one x-intercept (crosses the x-axis) and must be in the interval (0, 4].
f(x) decreases in any of the following intervals: (0, 1) or (2, 3)
Remember, you will have an arbitrary function that satisfies these conditions.
Step-by-step explanation:
I did :Your coaster ride must have at least 3 relative maxima and/or minima
Find the measure of Angle 8
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Angle 8 = 99°Since they form corresponding Angle pair ~
Which of these is not an improper fraction? A 5/5 B 40/30 C 934/85 D 3/7
PLEASE HELP !!!!!
Answer:
D and I think it is correct since it has a fraction whose numerator is less than the denominator good luck hope you pass
3. If 480 movie tickets were sold on Saturday,
how many were child tickets?
Child= 15%
Adult= 75%
Senior=10%
Answer:
72 child
369 adult
48 senior
Naomi has earned $81 mowing lawns the past two days. She worked 3
1
2
hours yesterday and 3
1
4
hours today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns?
Answer:
She would of made $40.5 because of $81 divided between the 2 days that she worked
Carbon-14 has a half-life of 5730 years. How long will it take for 180 grams to decay to 100 grams?
Answer:
3185
(I'm not sure if it's correct, if it's wrong I apologize in advance.)
Is this relation a function? Justify your answer.
10
9
8
7
6
.
5
4
3
2
1 2
3
5 6 7
8 9 10
O A. Yes, because every x- and y-value is positive.
B. No, because two points with the same x-value have different y
values.
C. Yes, because the number of x-values is the same as the number of
y-values.
Answer:
C. Yes, because the number of x - values is the same as the number of y-values
hey, can someone please double check these questions for me / or help me solve them if they are incorrect? thank you U-U
Question 11
The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.
For vertically opening parabolas, we use this form
4p(y-k) = (x-h)^2
where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).
Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.
Plug h = 0, k = 0, p = 4 into the equation mentioned and solve for y
4p(y-k) = (x-h)^2
4*4(y-0) = (x-0)^2
16y = x^2
y = (1/16)x^2
The only adjustment we need to make is to change the 1/16 to -1/16 so that the parabola opens downward.
Answer: Choice D. y = -(1/16)x^2===============================================
Question 3
The given equation is in the form y = ax^2+bx+c
In this case,
a = 2b = 4c = 3Let's compute the x coordinate of the vertex h
h = -b/(2a)
h = -4/(2*2)
h = -1
This h value is plugged into the original function to find k
f(x) = 2x^2+4x+3
f(-1) = 2(-1)^2+4(-1)+3
f(-1) = 1
We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.
Answer: Choice B. (-1,1)Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets does he eat?
Answer:
9/10
Step-by-step explanation:
if he has 10 and eats 9 you divide 9 by 10
= 9/10
Arnold eats 9 / 10 fractions of the sweets.
Given that,
Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets he eat is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
Arnold has a bag of 10 sweets
Total sweets = 10
Total sweets that were eaten by Arnold = 9
So,
Fraction = sweets eat / total sweet
Fraction = 9 / 10
Thus, Arnold eats 9 / 10 fractions of the sweets.
Learn more about fractions here:
brainly.com/question/10708469
#SPJ2
determine the given slope and y-intercept and the given linear function.
x -1,0,1,2
F(x) 1,3,5,7
use calcurature
to sold that problem
Step-by-step explanation:
thank you for the points
please follow me and
mark brainlest
hope its help
Select ALL of the equations that are true.
(Select all that apply.)
· 16 = 3.8
3
1
6
19
=
=
=
2.8. 13 = 0.7.52
Answer:
C ( 2.8 x 13 = 0.7 x 52)
Step-by-step explanation:
2.8 x 13 = 36.4
0.7 x 52 = 36.4
36.4 = 36.4
Answer:
Answer : 36.4
Step-by-step explanation:
thanks pi sa points uwu
-4 1/2 + 2 3/4
Guys help me Im having trouble on this EEEEEEEEEE
Please I really do need ur help. 4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.
What is the number?
Enter your answer as a mixed number in the simplest form in the box.
Answer: X = 2 2/3
Step-by-step explanation:
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.
Let X be the "number." Translate the sentence:
(4 5/9) = ((2 1/3) + (5/6))*X
"4 5/9 is the same": (4 5/9) =
"as the sum of 2 1/3 and 5/6": ((2 1/3) + (5/6))
"times a number": *X
Put them all together:
(4 5/9) = ((2 1/3) + (5/6))*X
(41/9)-(7/3) = (5/6)X
(41/9)-(21/9) = (5/6)X
(20/9) = (5/6)X
X = (20/9)*(6/5)
X = 120/45
X = 2 30/45 or 2 2/3
A 3-pack of light bulbs costs $3.27. What is the unit price
Answer:
0.91$
Step-by-step explanation: