Answers
Answer:
[tex]y = \frac{-7}{3}x -12[/tex]
Step-by-step explanation:
Point-slope form is [tex]y-y_1= m (x-x_1)[/tex]. The [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] have to be substituted for with real values in order to make an equation of a line. From there, you can isolate [tex]y[/tex] to turn it into slope-intercept form.
1) First, let's find the slope of the line, which is represented by the variable [tex]m[/tex]. Use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of one point, [tex]x_2[/tex] and [tex]y_2[/tex] are the x and y values of another point. For this problem, let's use the given points (-3, -5) and (-6, 2):
[tex]\frac{(2)-(-5)}{(-6)-(-3)} \\= \frac{2+5}{-6+3} \\= \frac{7}{-3}[/tex]
Thus, the slope is [tex]\frac{7}{-3}[/tex].
2) Now that we have the slope, let's substitute it into the point-slope formula. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point that the line intersects so you could either use (-3, -5) or (-6,2), but for this answer, I used (-6,2). (The answer will always be the same no matter which point you choose.) Substitute these values then isolate y to put it in slope-intercept form:
[tex]y-(2) = \frac{-7}{3} (x-(-6))\\y -2 = \frac{-7}{3} (x+6)\\y-2 = \frac{-7}{3}x-\frac{42}{3} \\y -2 = \frac{-7}{3}x-14\\y = \frac{-7}{3}x-12[/tex]
So, [tex]y = \frac{-7}{3}x -12[/tex] is the answer.
Related Questions
Fran's snowmobile weighs 0.8 ton.
What is the weight of the snowmobile
in pounds?
Answers
Answer:
1,600
Step-by-step explanation:
Answer:
1600
Step-by-step explanation:
which equation has the solution of x=4
Answers
Answer:
do you have a picture of the equations? then I can help you when you do
A football player team gained 7 2/5 yards and then lost 1 3/5
Answers
Answer:
if you need an answer it's 5 4/5
= 37/5 - 8/5
= 29/5
= 5 and 4/5
Jordie wants to save $175 for a trip to an amusement park. He sets aside $14 of his allowance at the end of each week. How many weeks will it take him to save enough money for the whole trip?
How many weeks will it take jordie will it take to save money
right and correct answer gets 64 points.
Answers
Answer:
12.5 weeks <3
Step-by-step explanation:
39
Simplify
3-12
이
들
1
이
o
33
0 321
Answers
Select the correct image.
Which quadrilateral is similar to quadrilateral LMNO?
Answers
Answer:
The second one
Step-by-step explanation:
If you divided all the dimensions by 2 they will al, simplify to the second image
The quadrilateral LMNO is similar to the quadrilateral SRQP because the corresponding sides are in the same proportions option (B) is correct.
What is the similarity law?It is defined as the law to prove that the two figures have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that:
The quadrilateral LMNO is shown in the picture
As we know from the similarity law, the ratio of the corresponding sides is in the same proportions.
Applying the similarity law in the quadrilateral LMNO and quadrilateral SRQP:
LM/PQ = MN/RQ = NO/RS = LO/SP
3/1.5 = 4/2 = 2/1 = 5/2.5 = 2
Thus, the quadrilateral LMNO is similar to the quadrilateral SRQP because the corresponding sides are in the same proportions option (B) is correct.
Learn more about the similarity here:
brainly.com/question/8045819
#SPJ5
Solve.
L. There was already 14 in. of snow on the ground when the blizzard started.
Each hour for the next 8 hours, 2.5 in. of snow fell. How much snow was
on the ground at the end of each hour?
Answers
Answer:
16.5, 19, 21.5, 24, 26.5, 29, 31.5, 34,
Step-by-step explanation:
each hour it increases by 2.5 inches and this is how much in each hour
Answer:
h1= 16.5
h2= 19
h3= 21.5
h4= 24
h5= 26.5
h6=29
h7=31.5
h8= 34
Step-by-step explanation:
start by making an equation to model the scenario then solve for each hour
f(h)=2.5h+14
Solve for n |2n|-4=8
Answers
How many minutes per lap does it take a runner who after 45 minutes
has run 9 laps?
Answers
Answer:
5 minutes per lap.
Step-by-step explanation:
45÷9=5
The blue dot is at what value on the number line?
- 8
Answers
Answer:
4
Step-by-step explanation:
If you look carefully at the number line between -4 and -8 and see the line between the two, you can see that each mark is |2| apart.
If you go up from -4 to the blue dot, you go: -2, 0, 2, 4. There are 4 lines above from -4, so this matches.
Your answer is 4.
how can i do this? i’m not good with slope at all
Answers
Slope formula: (b) m = y2 – y1 / x2 – x1
Point-Slope Formula: (c) y – y1 = m (x – x1)
Slope Intercept Form: (a) y = mx + b
plsssss answer thisss!!! will mark brainliest!
Answers
Answer:
35
Step-by-step explanation:
35 is the answer, it cant be 15 due to red being 21 MORE
Determine which, if any, of the given values is a solution.
8p − 16 = 40
p = 5; p = 7; p = 9
p = ?
Answers
Answer:
p – 7 = -12
The answer
P = 7
8p - 16 = 40
40 + 16 = 56
8p = 56
56 ÷ 8 = 7
You are inviting people over for a pool party but your parents said that you can spend at most $100 on food and beverages for the party. If you've already spent $20 on the cake, and each person invited is going to cost you $5 worth of food, how many friends can you invite? Group of answer choices
Answers
Answer:
16
Step-by-step explanation:
100 is at the very limit, you've already spent 20 on the cake, now just count by fives to eighty and 16 x 5 = 80
Julie has $10.00. She plans to buy 4 bagels and then buy pastries with the money she has left. According to the price list, what is the maximum number of pastries she can buy?
Answers
Answer:
picture please
Step-by-step explanation:
translate the following words into an expression:
Three less than "x"
A. 3 - x
B. x - 3
C. -x - 3
D. -x + 3
Answers
(TCO 1) A signal given by 15 Cos (20t) 20 Sin (40t) is sampled at a rate of 15 Hz. Is the Nyquist theorem violated
Answers
Answer:
Fs = 15 Hz > 12.7322 Hz
Hence, Nyquist theorem is NOT violated
Step-by-step explanation:
Given that;
a signal given by 15cos(20t) + 20sin(40t)
sampled at a rate of 15 Hz
Is the Nyquist theorem violated?
so;
from 15cos(20t) + 20sin(40t)
Freq F1 = 20/2π Hz
F1 = 3.1830 Hz
and
Freq F2 = 40/2π
F2 = 6.3661 Hz
Now, Nyquist's rate FN ≥ 2 × F_max
FN ≥ 2 × 6.3661
FN ≥ 12.7322 Hz
Now our given signal was sampled at a rate of 15 Hz
so, Fs = 15 Hz > 12.7322 Hz
Hence, Nyquist theorem is NOT violated
Name two obtuse vertical angles.
Answers
(please mark brainliest)
Given the numbers 9 and 6 as legs of a right triangle, what is the length of the hypotenuse? Round your answer to the nearest
hundredth (2 decimal places).
Answers
[tex]hypotensuse \: = \sqrt{ {6}^{2} + {9}^{2} } = \sqrt{36 +81 } = \sqrt{117} = 10.82[/tex]
3cm, b=3(m, calculate C
B
b. a. 7m, b: 8cm, calculate
-113
c
4. Trangle ABC haw AB = AC
BC = 10 and 2 BAC 90° calculate
the longth of side AB and Ac
to the neareut milimetre
90°
10
X
10
5
ow-90°
TO
OD Hub
cow-45 /
10
y = tans
0.5810
Answers
Answer:
The Answer is C
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST PLEASE MARK ME BRAINLIEST
A rectangular solid has a base that measures 12 feet by 16 feet, and a height of two feet. Its surface area is (blank)
square feet
Answers
Answer:
192 feet is your answer .
Step-by-step explanation:
12×16=192 feet base.
Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays eggs whose weights are also normally distributed with a mean of 65 grams and a standard deviation of 5 grams. If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Answers
Answer:
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.
When we subtract normal distributions, the mean is the subtraction of the means. So
[tex]\mu = 65 - 70 = -5[/tex]
The standard deviation is the square root of the sum of the variances. So
[tex]\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81[/tex]
Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-5)}{7.81}[/tex]
[tex]Z = 0.64[/tex]
[tex]Z = 0.64[/tex] has a pvalue of 0.7389
1 - 0.7389 = 0.2611
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Hector must find the sum of 50 + 83 + 50 by using mental math. Which property allows Hector to simplify the equation to 50 + 50 + 83 and find an equivalent sum?
associative property
commutative property
distributive property
identity property
Answers
Answer:
183 A
Step-by-step explanation:
Answer:
The associative property because it allows you to group together numbers to make it easy to add.
I hope this helps!
The area of the opening of a rectangular window is to be 120 square feet. If the length is to be 2 feet more than the width, what are the dimensions
Answers
Answer:
Width = 10ft
Length = 12ft
Step-by-step explanation:
For a rectangle of length L and width W, the area is calculated as:
A = L*W
In this case, we know that:
The area is 120 ft^2.
The length is 2 ft more than the width.
Then we can write:
L = W + 2ft.
If we use these two equations and replace them in the equation for the area of a rectangle, we get:
A = 120ft^2 = W*L = W*(W + 2ft)
120ft^2 = W*(W + 2ft)
Now we can solve this for W
120 ft^2 = W^2 + 2ft*W
Now we can rewrite this as:
W^2 + 2ft*W - 120ft^2 = 0
The solutions of this equation can be found by the Bhaskara's formula.
We know that for an equation of the form:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +\sqrt{b^2 - 4*a*c} }{2*a}[/tex]
in our case, we have:
a = 1
b = 2ft
c = -120ft^2
Then the solutions for the equation W^2 + 2ft*W - 120ft^2 = 0 are:
[tex]W = \frac{-2ft + -\sqrt{(2ft)^2 - 4*1*(-120ft^2)} }{2*1} = \frac{-2ft +- 22ft}{2}[/tex]
Then the two solutions are:
W = (-2ft - 22ft)/2 = -12ft (this is a negative measure, does not have a real meaning in this case, so this solution can be discarded)
The other solution is:
W = (-2ft + 22ft)/2 = 10ft (this is the correct solution)
Then the width is 10ft, and we know that the length is 2 ft longer than the width, then the length is:
L = W + 2ft = 10ft + 2ft = 12ft
Which measurements could create more than one triangle?
A. A triangle with angles measuring 75°, 60°, and 45°
O B. A triangle with sides measuring 5 cm end 10 cm and an included
angle measuring 40°
C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches
D. A triangle with sides measuring 4 inches, 8 inches, and 15 inches
Answers
Answer:
why yall got the question i use to have now this 2021 i won nun off this ughhh i think it is D
Step-by-step explanation:
Answer:
A. A triangle with angles measuring 75°, 60°, and 45°
Step-by-step explanation:
Find the missing numerical value in the box for which the equation 23(6x−12)=8+□(2x−4) 2 3 ( 6 x - 12 ) = 8 + □ ( 2 x - 4 ) has no solution.
Answers
Answer:
23
Step-by-step explanation:
write an equation in slope intercept form that represents the line shown
Answers
Answer:
[tex]y - 2 = -\frac{1}{3}(x + 3)[/tex]
Step-by-step explanation:
The equation of a line, in slope-intercept is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which [tex](x_0,y_0)[/tex] is a point in the line and m is the slope.
We have these following points:
(-3,2), (0,1)
I am going to use [tex](x_0,y_0) = (-3,2)[/tex]
So
[tex]y - 2 = m(x - (-3))[/tex]
[tex]y - 2 = m(x + 3)[/tex]
Finding the slope
The slope, given two points, is given by the change in y divided by the change in x. In this question:
Points (-3,2) and (0,1).
Change in y: 1 - 2 = -1
Change in x: 0 - (-3) = 0 + 3 = 3
So
[tex]m = \frac{-1}{3} = -\frac{1}{3}[/tex]
So the equation of the line is:
[tex]y - 2 = -\frac{1}{3}(x + 3)[/tex]
Expression for x = 6 and y = 17.
2x + (20 - y)
Answers
Answer:
The president is permitted to veto specific legislative acts, but Congress has ... and judicial appointments and on the approval for ratification of treaties. ... State shall have the Qualifications requisite for Electors of the most numerous Branch of the State Legislature. ... No Bill of Attainder or ex post facto Law shall be passed. Step-by-step explanation:
Answer:
2(6)+(20-(17))
Step-by-step explanation:
i think thats what you mean
A fruit seller has 264 oranges packed in bags with 8 oranges in each bag she sells each bag of oranges for $4 how much money does the fruit seller collect in all bags
Answers
Answer:
$132
Step-by-step explanation:
264 divided by 8 = 33. 33 x 4 = 132
Answer:
132
Step-by-step explanation:
Total number of oranges = 264
Total number of oranges in each bag = 8
264 ÷ 8
= 33
33×4
= 132
Evaluate the expression x2 + 5 for x = 3
Answers
Answer:
14
Step-by-step explanation:
give the other guy brainliest pls