Answer:
[tex]y = -\frac{2}{5}x -\frac{1}{5}[/tex]
Step-by-step explanation:
Given
Passes through: [tex](2,-1)[/tex]
Parallel to: [tex]2x + 5y = 15[/tex]
Required
First, calculate the slope of the parallel line
[tex]2x + 5y = 15[/tex]
Make y the subject
[tex]5y = 15 - 2x[/tex]
Divide through by 5
[tex]y = 3 - \frac{2}{5}x[/tex]
[tex]y =- \frac{2}{5}x+3[/tex]
An equation in slope intercept has the form:
[tex]y = mx + b[/tex]
Where:
m = slope
[tex]y = mx + b[/tex]
So:
[tex]m = -\frac{2}{5}[/tex]
The required is parallel to [tex]2x + 5y = 15[/tex].
This mean, the same slope
The equation is the calculated using:
[tex]y - y_1 = m(x - x_2)[/tex]
This gives:
[tex]y - (-1) = -\frac{2}{5}(x - 2)[/tex]
[tex]y +1 = -\frac{2}{5}x +\frac{2}{5}*2[/tex]
[tex]y +1 = -\frac{2}{5}x +\frac{4}{5}[/tex]
[tex]y = -\frac{2}{5}x +\frac{4}{5}-1[/tex]
Take LCM
[tex]y = -\frac{2}{5}x +\frac{4-5}{5}[/tex]
[tex]y = -\frac{2}{5}x -\frac{1}{5}[/tex]
i.e.
[tex]y = -2/3x -1/5[/tex]
A triangle with side lengths of 6 meters, 9 meters and 8 meters
A. No triangle
B. Unique triangle
C. More than one triangle
Answer:
B). Unique Triangle
Step-by-step explanation:
This lengths make a right triangle therefore it is unique.
Answer:
the answer is b. because if there is a 90 angle it is a unique triangle
Step-by-step explanation:
negative 5x plus 4y equals 3 i need x and y thank youu
Answer:
put value of y in equation i
Divide 4/5 * 1/10
Blank 1:
About 20 raindrops will make one milliliter. How many raindrops would you need to fill a 3.5 liter bottle?
Answer:
Step-by-step explanation:
70
Use the Remainder Theorem to evaluate f(10) for:
f(x) = 2x^3 – 14x^2 - 56x - 40
Step-by-step explanation:
Since we are told that 10 is a zero,
(x−10) must be a factor:
F(x)=2x3−14x2−56x−40
F(x)=(x−10) (2x2+6x+4)
F(x)=2(x−10)(x2+3x+2)
F(x)=2(x−10)(x+2)(x+1)
So the other two zeros are
x = -2 and x= −1
Solve the following problem and choose the best answer.
Question
Favian received a $100 gift card to a clothing store. Using only the gift card, he was able to purchase n
sweaters that cost $32 each and 1 belt for $20. If there was no tax on the sweaters and belt, which of the
following must be true?
O 80 : n> 32
O 32 :n> 80
0 80 : n < 32
O 100 – 32n< 20
Answer:
80 : n < 32
Step-by-step explanation:
100-20=80
8x5/7 show work plz put the answer in simplest form
Answer:
5.7?
Step-by-step explanation:
Not sure if this is what you were needing, but 8x5 divided by 7 equals 5.7
Answer:
The answer is 5. 71
Step-by-step explanation:
[tex] \frac{5 \times 8}{7} = \frac{40}{7} = \frac{35}{7} + \frac{5}{7} \\ = 5 + .71 \\ = 5.71[/tex]
Square root of complex number -14?
Answer:
square root(-14) =
3.74165739
Step-by-step explanation:
Calculo de ángulos y valor de x
(240)
(4x-10)
(х410)
Answer:
240
Step-by-step explanation:
What is the solution to the equation A + 5 2/3 = 9
Answer:
the first one is your answer
Step-by-step explanation:
I hope it help ^_^
have a great day!!
What is blank _+ 5 = 5 + 9 ?
And 16 • 4 = • 16?
Answer:
The first one would be 9
The second one would be 4
Step-by-step explanation:
By adding the same numbers, you make the equations equal and therefore true.
Mira's six test scores are given. What is the
positive difference between the mean of the
scores and the median of the scores?
86, 72, 92, 62, 99, 93
Answer:
First, we need to find the mean and median of the scores.
Mean:
86+72+92+62+99+93=504
There are 6 test scores, so:
504 ÷ 6 = 84
Median:
62, 72, 86, 92, 93, 99
86 + 92 = 172
172 ÷ 2 = 86
The answer would be:
Mean: 84
Median: 86
The vertical line graph shows how often each number on a standard dice comes up. What percentage of rolls were a 6?
Answer:
21%
Step-by-step explanation:
Out of the 25 + 9 + 12 + 21 + 12 + 21 = 100 total rolls, 6 came up 21 times so the percentage is 21/100 = 21%.
I hope this helps.
Please give me brianliest!
Mayra bought x grams of rice. Anika bought 1/3 more than mayra bought.
Need help on this please any one
Rewrite this division expression as an equivalent multiplication expression 5/8 ÷ 2/3
Answer:
The equivalent multiplication expression is [tex]\frac{5}{8} \times \frac{3}{2}[/tex]
Step-by-step explanation:
Division of fractions:
A division of fractions is the same as the multiplication of the numerator by the inverse of the denominator.
5/8 ÷ 2/3
So numerator is 5/8, denominator is 2/3
[tex]\frac{\frac{5}{8}}{\frac{2}{3}} = \frac{5}{8} \times \frac{3}{2}[/tex]
The equivalent multiplication expression is [tex]\frac{5}{8} \times \frac{3}{2}[/tex]
-5 + 8 • -7
help lols
Answer:
Step-by-step explanation:
-5 + (8 x -7)
using PEMDAS, (8 x -7) = -56
so -5 + -56 = -61
4/10-3/10
how do i do this please hurryyyy
Answer:
its 1/10
Step-by-step explanation:
4/10-3/10=1/10
10. The radius of a small wading pool is 3 feet. What is the circumference of this pool?
Answer:
18.85
Step-by-step explanation:
C=2πr=2·π·3≈18.84956
The circumference of this pool is 6π feet.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
Given:
The radius of a small wading pool is 3 feet.
r = 3 feet
And the pool is circular.
So,
circumference of circle = 2πr
Circumference of circle = 2π(3)
Circumference of circle = 6π feet
Therefore, 6π feet is the circumference of the pool.
To learn more about the circle;
https://brainly.com/question/29142813
#SPJ6
A line passing through the point (8,-4) and has a slope of - 3/4 in slope-intercept
Answer:
y - y1 = m(x - x1)
x1 = 8
y1 = 4
m = 3/4
Plug in the numbers
PLEASE HELP! URGENT!
What's 4.136363636363636 rounded to the nearest percent?
Answer:
32%
First you have to round to the nearest hundredth.
0.323
Since 3 is less than 5 it this number will not change.
We now know that our decimal is 0.32
Now we simply move the decimal point over twice to the right:
32.00
Our percentage is 32%!
Step-by-step explanation:
9 students try out for 3 openings on the school soccer team. How many ways can 3 students be chosen out of 9?
A.
9
B.
27
C.
84
D.
504
Brunhilda has 6 children. She plans to give the same amount of pocket money (x dollars) to each of her children. She puts all this money into a jar that already has $50 in it.
Answer:
She kills all 6 and takes the money and keeps it for her self.
More than 75% of Americans answer yes when asked, "Do you favor cracking down against illegal gun sales?" but more than 75% say no when asked, "Would you favor a law giving police the power to decide who may own a firearm?"
a. Which statistic would someone who opposes gun control prefer to quote?
b. Explain what is wrong with the wording of each of these statements.
Step-by-step explanation:
Consider the case "Gun control"
(a). The second option,
"Would you favor a law giving police the power to decide who may own a firearm?"
is more favourable question to be asked for someone who opposes gun control.
Because it is expected that most americans would answer that they opposes that giving the police so much power and would likely to oppose Gun Control.
(b). How a Survey question is worded affects the result. Advocates who can afford to sponsor their own surveys can shape the result to try to demostrate support for their position.
Gun Control advocates may phrase a question
"Do you favour cracking down against illegal gun sales?"
While gun control opposition would ask
"Would you favour or oppose alaw giving the police the power to decide who may or may not own a firearm?"
Both question could result in both side of the issue appearing to having the majority of the people supporting their position. In this example a public opinion seems to divide into minorities at the 2 extremes, some favoring a ban on all guns others oppose any Gun COntrol. and a large middle mass that, presumably, favours keeping guns out of the hands of "Bad" people while letting "Good" people have guns.
The complexity of public opinion can be hard to recognize when our information comes from surveys sponsored by advocates who word questions to produce the results they desire.
Find the slope between the two ordered
pairs: (3,-4) and (6,-5)
Answer:
-1/3
Step-by-step explanation:
-4 - -5 = 1
3 - 6 = -3
1/-3 = -1/3
Answer: -1/3
Step-by-step explanation: slope is the difference in the y values over the difference of the x values
A video gets 280 views every 7 hours, how long will it take for the video to reach 1000 views.
Answer:25 hours
Step-by-step explanation:
Find the equation of a line that is vertical through (1,3)
Answer:
x=1
Step-by-step explanation:
Maria is making 2 liters of cherry lemonade, 5 deciliters of lime lemonade, and 2,500 milliliters of strawberry lemonade for a party. After the party was over, she still had a total of 1.3 liters of lemonade left. How many liters of lemonade were consumed during the party? Enter only the number. Do not include units.
Answer:
3.2 liters were consumed during the party
There are a total of 2000+500+2500=5000 millileters of lemonade at the beginning.
Now there is 1.3 liters left, 5000-1300=3700milliliters=3.7 liters of lemonade is consumed during the party
Diana spent $5 on lunch. She purchased a sandwich and a drink. The drink cost $2. The
equation s + 2 = 5 can be used to find the cost s of the sandwich. Which model shows the
equation?
if the spinner is spun twice what is the probability that the spinner will stop on a vowel then a consonant?
Answer:
1/9 is correct
1/3 for 1st spin, 1/3 for 2nd spin. You just multiply them.
