Answer:
12 cm (I don't understand bro):(
write the equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6)
Answer (assuming it can be in slope-intercept form):
[tex]y = -2x +10[/tex]
Step-by-step explanation:
1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula [tex]y = mx + b[/tex]. Isolate y:
[tex]2x + y = 3\\y = -2x + 3[/tex]
The number in place of [tex]m[/tex], or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.
Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.
2) Now, remember that the slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. In order to write an equation of a line using that formula, we need to substitute values for [tex]m[/tex] and [tex]b[/tex]. We know [tex]m[/tex] is the slope, so we already know what that equals. Now, we just need to find [tex]b[/tex].
To do that, substitute -2 for [tex]m[/tex] in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate [tex]b[/tex] and find its values:
[tex]y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b[/tex]
So, [tex]b[/tex] = 10.
3) Substitute values for [tex]b[/tex] and [tex]m[/tex] into the slope-intercept formula to write the slope-intercept form of the line:
[tex]y = -2x +10[/tex]
Equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6) is y+2x=10
What are parallel lines ?Lines which does not intersect each other at any point is said to be Parallel.
Here given equation of line is 2x+y=3
first we will write this equation in y=mx+c form
So y=3-2x
y= -2x+3
We know that slope of parallel lines is same
So equation of parallel line will be
y=-2x+a
Now we know that line is passing through (2,6)
So
[tex]6=-2(2)+a\\\\6+4=a\\\\a=10[/tex]
Hence equation of parallel line is y=-2x+10
or we can write it as y+2x=10
Equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6) is y+2x=10
To learn more about parallel lines visit :https://brainly.com/question/24607467
g Suppose a kind of disease exists within 1% of the population and a certain test can help diagnose it. If someone has the disease, the test will give a positive result with a 95% probability. On the other hand, if someone does not have the disease, the test result will give a negative result 97% of the time. If David did the test once, what is the probability that the test result is positive
Answer:
0.0392 = 3.92% probability that the test result is positive.
Step-by-step explanation:
Probability of a positive test:
95% of 1%(person has the disease)
100 - 97 = 3% of 100 - 1 = 99%(person does not have the disease).
What is the probability that the test result is positive?
[tex]p = 0.95*0.01 + 0.03*0.99 = 0.0392[/tex]
0.0392 = 3.92% probability that the test result is positive.
Hi, could anyone help please ? I can't manage to get this right...
So everything you have now is right so far:
[tex]\cos(24) = \frac{z}{118}[/tex]
Multiply 118 to the left side to isolate z
[tex]118\cdot\cos(24) = z[/tex]
z = 50.05
Hope this helps
solve please
due very soon
need done asap
Answer:
B
Step-by-step explanation:
Both triangles are similar. The similarity ratio between AB and EF is 4, which must mean that FG is BC (60)/4. The area of a rectangle is base x height -> 6.25 x 15 = 93.75 square cm
Hope this helps!
10
HH
0 1 2 3 4 5 6 7 8 9 10
How would you describe the shape of the data in the dot plot below?
(5 Points)
bell shape
uniform distribution
skewed right
skewed left
Answer:
skewed left
Step-by-step explanation:
Which choice is equivalent to the product below?
Answer:
equivalent of √6 . ✓3 is option a. 3√2
√6×3 = √18 = √9. √2 = 3√2
What does the y intercept represents
Sharon made a scatterplot comparing the shoulder heights of dogs to their weights.
120
110-
100
90
80
Weight (pounds)
70
60
50
40-
30
20
10
2 4
6
8 10 12 14 16 18 20 22 24 26 28 30
Height (inches)
Sharon's dog has a shoulder height of 28 inches. Using a linear model, which is the best prediction of her dog's weight?
A 85 pounds
B 90 pounds
C105 pounds
D 120 pounds
Answer:
105
Step-by-step explanation:
Answer:
I think 105 and it is this because it is correct try the answer. ✅
James invests a total of $18,000 in two accounts paying 13% and 3% annual interest, respectively. How
much was invested in each account if, after one year, the total interest was $2,040.00.
S
was invested at 13% and
S
was invested at 3%.
Answer:
$15,000 was invested at 13% per year, and $ 3,000 was invested at 3% per year.
Step-by-step explanation:
Given that James invests a total of $ 18,000 in two accounts paying 13% and 3% annual interest, respectively, to determine how much was invested in each account if, after one year, the total interest was $ 2,040.00, the following calculation must be performed:
18,000 x 0.13 + 0 x 0.03 = 2340
16,000 x 0.13 + 2,000 x 0.03 = 2140
15,000 x 0.13 + 3,000 x 0.03 = 2040
Thus, $ 15,000 was invested at 13% per year, and $ 3,000 was invested at 3% per year.
A student received an 82% on an exam. If there were 50 questions on the exam, which ratio would show the number of questions answered correctly?
Omar wants to determine cos(- (2pi)/3) using the ratios of the 30 degrees - 60 degrees - 90 degrees right triangle . How shoulc he use this information to determine cos(- (2pi)/7)
Answer:
its D
Step-by-step explanation:
The right angle triangle with 30-60-90 degrees is the special triangle in which these angle will have the side ratio of 1, [tex]\sqrt{3} [/tex] and 2. The value of the [tex] \cos\dfrac{(-2\pi)}{3} [/tex] which Omar wants to determine is -1/2.
Given information-
Omar wants to determine the value of
[tex] \cos\dfrac{(-2\pi)}{3} [/tex]
As the degree is in the pi form. Use the conversion rate [tex]\dfrac{180}{\pi} [/tex] to convert the degree,
[tex]=\dfrac{(-2\pi)}{3} \times\dfrac{180}{\pi} [/tex]
[tex]=-120[/tex]
As the angle -120 degrees is in the third quadrant hence the reference angle is 60 degrees(by calculating as (180-theta).
30-60-90 triangleNow the right angle triangle with 30-60-90 degrees measure angle. Such angle will have the side ratio of 1, [tex]\sqrt{3} [/tex] and 2.
Here 2 is the hypotenuse of the right triangle. The side opposite to the angle measure [tex]\sqrt{3} [/tex] and the side adjacent to the angle measures 1 in ratio.
Now the cos theta is the ratio of the adjacent side and hypotenuse thus,
[tex] \cos\dfrac{(-2\pi)}{3} =-\dfrac{1}{2} [/tex]
Negative sign is used for the third quadrant where x axis is negative.
[tex] \cos\dfrac{(-2\pi)}{3} =-\dfrac{1}{2} [/tex]
Thus the value of the [tex] \cos\dfrac{(-2\pi)}{3} [/tex] which Omar wants to determine is -1/2.
Learn more about the trigonometry here;
https://brainly.com/question/24236629
A local bakery sells bread and breakfast items. The bakery also offers two dessert options each day. Yesterday, the bakery offered decorated sugar cookies and miniature cakes. Each decorated sugar cookie sells for $3 and each miniature cake sells for $2. Yesterday, the bakery sold 40 bakery items, which sold for $96 total.
The system of equations shown can be used to represent this situation. In the system of equations, s equals the number of decorated sugar cookies sold and c represents the number of miniature cakes sold.
s+c=40 3s+2c=96
Answer:
I can't understand your equation. Please rewrite it.
Step-by-step explanation:
The ordered pair (a,b)give the location of point P on the coordinate plane.The values of a and b have the same sign neither a nor b is 0 where could point P be located on the coordinate plane
Choices
Quadrant l
Quadrant ll
Quadrant lll
Quadrant lV
X-axis
Y-axis
Answer:
Q I & Q III
Step-by-step explanation:
See the picture I have attached. The Quadrant numbers are in bold Roman numerals.
Only in quadrants I and III are x and Y both of the same sign.
If the point (a,b) is on an axis, one of the coordinates must be zero, but you were told that neither a nor b is zero, so the axes can be counted out as possible answers.
The times for running a 5K for a local charity event are Normally distributed. Which standardized time represents the
87th percentile?
Find the z-table here.
-1.34
-1.13
01.13
1.34
Answer:
1.13
Step-by-step explanation:
Edge 2021 hope this helps
answer all
(make sure to show work
6th grade work
In the diagram, BC is a radius of C. Determine whether AB is tangent to C. Explain your reasoning.
Answer:
No, AB is not tangent to C.
If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.
3²+6²=7²
9+36=49
45=49 Since this is false, it's not a right angle, and AB is not tangent.
Step-by-step explanation:
No, AB is not tangent to C.
If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.
3²+6²=7²
9+36=49
45=49 Since this is false, it's not a right angle, and AB is not tangent.
The line segment AB is not a tangent to C since it is not perpendicular to BC.
What is the relationship between a tangent and the radius from the point it touches the circle?The tangent is perpendicular to the radius of the circle joined from the center to the point at which the tangent touches the circle.
What is the Pythagorean theorem?The Pythagorean theorem states that in a right-angled triangle, the sum of the squares of the sides is equal to the square of the hypotenuse.
z² = x² + y²
The line segment AB would be a tangent if the triangle ABC is a right-angled triangle. We can use the Pythagorean theorem.
7² = 3² + 6²
49 = 9 +36
49 = 45
This is incorrect.
49 ≠ 45
This means that the triangle is not a right-angled triangle. This in turn means that AB is not a tangent to C.
We have determined that AB is not a tangent to C as it is not perpendicular to BC.
Learn more about tangents here-https://brainly.com/question/16507124
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Angel and Kellie each have the same amount of money in their wallet. Angel buys two juice drinks and receives $1.10 in change after she pays. Kellie buys 1 juice drink and receives $3.05 in change after she pays. Which equation shows how to find the cost of a juice drink, j?
Answer:
y= 2x+1.10
y=x+3.05
Step-by-step explanation:
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
10
91x
fix)
-
90
A. k=-3
B. K=-1
C. K=4
D. K=5
20 Points plz help
Adding K shifts the graph up that many units.
The vertex of f(x) is at y = -3
The vertex of g(x) is at y = 1
This as a 4 unit shift upwards.
K = 4
giving the brainliest answer to who can ever help me out!!! AND has the correct answer need help asap!
Answer:
B
Step-by-step explanation:
Answer:
The ratio of a 45-45-90 traingle is 1:1:[tex]\sqrt{2}[/tex].
Find the slope of the line.
Answer:
undefined
Step-by-step explanation:
The slope of a vertical line is undefined, and can't be found. This is because the denominator of the rise over run fraction is always 0.
PLZZZZZ HELPPPP MEEE!!!!
Answer:
Step-by-step explanation:
area = (3x³y)(2xy + x⁵)
= 3x³y·2xy + 3x³y·x⁵
= 6x⁴y² + 3x⁸y
Account (A) is a saving account , the interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A). How much is the principle for account (A) ?3
Answer:
The principal for the account is $375.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
The interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A).
This means, respectively, that [tex]t = 1, E = 12, I = 0.032[/tex]
We want to find P.
[tex]E = P*I*t[/tex]
[tex]12 = P*0.032*1[/tex]
[tex]P = \frac{12}{0.032}[/tex]
[tex]P = 375[/tex]
The principal for the account is $375.
Simplify by combining Like terms: m + 9 - 4m
Answer:
9-3m
Step-by-step explanation:
m and -4m are like terms, combining them yields (1m-4m) which is -3m. The 9 is a constant.
Which expressions are equivalent to -4(3d-2)-7−4(3d−2)−7minus, 4, left parenthesis, 3, d, minus, 2, right parenthesis, minus, 7 ? Choose all answers that apply: Choose all answers that apply: (Choice A) A -12d-15−12d−15minus, 12, d, minus, 15 (Choice B) B 12d-1512d−1512, d, minus, 15 (Choice C) C None of the above
Answer: I helped you now I helped me
Step-by-step explanation:
Would you shoutout me if I poured shamrock shake on my headYou
Answer:
its C aka none of the above
Step-by-step explanation:
Have a good day:))
Please help with math question.
9514 1404 393
Answer:
C
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
[tex]\displaystyle\frac{7}{-4-\sqrt{x}}=\frac{7(-4+\sqrt{x})}{(-4-\sqrt{x})(-4+\sqrt{x})}=\frac{-28+7\sqrt{x}}{16-x}=\boxed{\frac{7\sqrt{x}-28}{16-x}}[/tex]
According to a researcher who was quoted in a New York Times article in March, 2011, 65% of U.S. community college students must take at least one remedial course in English, reading, or mathematics.2 A reporter for the student newspaper at a community college in Florida believes that the percentage of students taking at least one remedial course at her school is greater than 65%. She surveys a random sample of students at her school, asking the students whether they were required to take any remedial courses.
The null hypothesis assumes a specific value for the population proportion. In this case, it assumes that the proportion of students taking at least one remedial course at the Florida college is the same as the proportion that was reported in the New York Times. Complete the null hypothesis using this assumption.
Null Hypothesis: p = _________
Answer:
Null Hypothesis: p = 0.65.
Step-by-step explanation:
The null hypothesis is the expected population population, from an assumption deriving for example, from a previous experiment.
According to a researcher who was quoted in a New York Times article in March, 2011, 65% of U.S. community college students must take at least one remedial course in English
This means that the expected value of the population proportion is [tex]p = 0.65[/tex], which is the null hypothesis.
Null Hypothesis: p = 0.65.
Rite Aid sells a six pack of fruit cups for $2.88 what is the unit cost price per fruit cup?
Answer:
0.48
Step-by-step explanation:
2.88/6=0.48
Answer:
2.88 / 6 = 0.48
Explanation:
What is the slope of the line through (-9,6) and (-3, 9)?
PLEASE ANSWER ASAP FOR BRAINLEST !!!!!!!!!!!!!!!!!!!!
Answer:
your answer will be Option C.256
Step-by-step explanation:
hope it helps
Please help
For 20 points
Answer:
Step-by-step explanation:
Vertex: ( -2, -25)
Axis of symmetry: -2