Given:
The line passes through the two points (–4, –3) and (12, 1).
The point-slope form of the equation of the line is:
[tex]y-1=\dfrac{1}{4}(x-12)[/tex]
To find:
The standard form of the equation for this line.
Solution:
The standard form of a line:
[tex]Ax+By=C[/tex]
The given point-slope form of the equation of the line is:
[tex]y-1=\dfrac{1}{4}(x-12)[/tex]
Multiply both sides by 4.
[tex]4(y-1)=(x-12)[/tex]
[tex]4y-4=x-12[/tex]
[tex]-4+12=x-4y[/tex]
[tex]8=x-4y[/tex]
Interchanging the sides, we get
[tex]x-4y=8[/tex]
Therefore, the standard form of the equation for this line is [tex]x-4y=8[/tex].
y = one-fourth x minus three-fourths got it on the edge
You roll 2 dice and flip a coin. What's the probability of getting two 4's and a tails?
Answer:
2/4
Step-by-step explanation:
Please help me
Find the circumference and the area of this shape
I'll give brainliest
Find the measure of the angle, round to the nearest tenth: Sin X = .7547
Find x. Round your answer to the nearest tenth of a degree.
A
27
18
to
B
С
x = _(blank)
There are 30 students in a seventh grade class who attend after school activities.
• Of the students, 5 take music lessons.
3
• Of the students, 5 play a sport.
• The remaining students go to drama club.
How many students go to drama club after school?
O A. 11 students
OB.
23 students
O C.
7 students
OD
15 students
Answer:
7 students.
Step-by-step explanation:
1/6 of 30 is 5
3/5 of 30 is 18
18+5=23
30-23=7
if the length is 9 cm,breadth is 10 cm and volume of cuboid is 1800cm cube ,,find the height and total surface area of cuboid,
Answer:
the height is 20 cm.
tsa is 940 cm square
Step-by-step explanation:
volume of cuboid = l*b*h
1800 = 9*10*h
h= 20 cm
TSA = 2(L*B+ B*H + L*H)
= 2(9*10 + 10*20 + 9*20)
=940 cm square
The height of the cuboid will be 20 cm
The total surface area of cuboid will be 940 cm²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The length of cuboid = 9 cm
The breadth of cuboid = 10 cm
And, The volume of cuboid = 1800 cm³
Now,
We know that;
Volume of cuboid = Length × Breadth × Height
⇒ 1800 = 9 × 10 × h
⇒ 1800 / 90 = h
⇒ h = 20 cm
And, The total surface area of cuboid = 2lw + 2lh + 2hw
Substitute all the values, we get;
⇒ The total surface area of cuboid = 2 (9 × 10 + 9 × 20 + 20 × 10)
= 2 (90 + 180 + 200)
= 2 × 470
= 940 cm²
Learn more about the multiply visit:
brainly.com/question/14176303
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What is the surface of the triangluar prism shown below
Answer: 36 ft^2
Step-by-step explanation: 4x3/2=6. 6x2=12. 3x2=6. 4x2=8. 5x2=10. 12+8+6+10=36
Helpppp 8 &11/13 as an improper fraction
Answer:
115/13
Step-by-step explanation:
convert mixed number into improper fraction
8×13+11
multiply
104+11/13
add
104+11=115
115/13
The diagram shows a cylindrical tank.
The radius is 30 cm and the height is 80 cm.
(a) Calculate the area of the base of the tank.
(b) Calculate the volume of the tank in litres.
Step-by-step explanation:
a) A=π302=900π CM2 =2,827 CM 2
b) V=Ah=900=72000 π cm 3 = 226,195 cm3
WILL
GIVE BRAINLIST FOR MATH
....
Answer this question please ASAP!!
A or the first answer shown
Answer:
No it is not close to half of the data below the mean and half the data above the mean
Nicholas performs an experiment in which he pulls a marble from a bag. In his experiment, he finds that he is twice as likely to pull a red marble as a blue marble. If Nicholas pulls 10 red marbles, how many blue marbles does he pull?
Answer:
Nicholas pulls 5 blue marbles from the bag.
Step-by-step explanation:
Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:
10/2 = X
5 = X
Therefore, Nicholas pulls 5 blue marbles from the bag.
Solve for x PLEASE HELP DUE TODAY!!!
Answer:
x = 4
Step-by-step explanation:
By intersecting tangent and secant theorem:
[tex] {(x + 2)}^{2} = x(x + 5) \\ \\ {x}^{2} + 4x + 4 = {x}^{2} + 5x \\ \\ 4x + 4 = 5x \\ \\ 4 = 5x - 4x \\ \\ 4 = x \\ \\ x = 4[/tex]
Answer:
x = 4
Step-by-step explanation:
When a secant and a tangent are drawn to a circle from a point outside the circle, the lengths are related this way:
The square of the length of the tangent equals the product of the length of the secant and the length of the segment of the secant outside the circle.
(x + 2)² = x(x + 5)
x² + 4x + 4 = x² + 5x
x = 4
Pls help ill give u brainlest!! 40 points
Hakeem owns seven less than 3/5 the number of DVDs that Manuel owns. Hakeem owns 20 DVDs. How many DVDs does Manuel own? Show your work.
Answer:
Manuel owns 5 DVDS
Step-by-step explanation:
3/5 = 12/20
12 - 7 = 5
you watch seven deadly sins?
A binomial experiment is given. Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S. adults and ask them whether they have been to court.
Answer:
Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.
The mean is of 11.1 and the standard deviation is of 2.64.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Using the normal distribution to approximate the binomial distribution.
This is possible if:
[tex]np \geq 10, n(1-p) \geq 10[/tex]
A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S.
This means that [tex]p = 0.37, n = 30[/tex]
Test if it is possible:
[tex]np = 30*0.37 = 11.1[/tex]
[tex]n(1-p) = 30*0.63 = 18.9[/tex]
Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.
Mean and standard deviation:
[tex]E(X) = np = 30*0.37 = 11.1[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.37*0.63} = 2.64[/tex]
The mean is of 11.1 and the standard deviation is of 2.64.
move two choices to the blanks to correctly complete the sentences.
Answer:
(A) There should have been 5 outcomes of HT
(B) The experimental probability is greater than the theoretical probability of HT.
Step-by-step explanation:
Given
[tex]S = \{HH,HT,TH,TT\}[/tex] -- Sample Space
[tex]n(S) = 4[/tex] --- Sample Size
Solving (a); theoretical outcome of HT in 20 tosses
First, calculate the theoretical probability of HT
[tex]P(HT) = \frac{n(HT)}{n(S)}[/tex]
[tex]P(HT) = \frac{1}{4}[/tex]
Multiply this by the number of tosses
[tex]P(HT) * n= \frac{1}{4} * 20[/tex]
[tex]P(HT) * n= 5[/tex]
Solving (b); experimental probability of HT
Here, we make use of the table
[tex]P(HT) = \frac{n(HT)}{n(S)}[/tex]
[tex]P(HT) = \frac{6}{20}[/tex]
[tex]P(HT) = 0.30[/tex] ---- Experimental Probability
In (a), the theoretical probability is:
[tex]P(HT) = \frac{1}{4}[/tex]
[tex]P(HT) = 0.25[/tex] ---- Experimental Probability
By comparison;
[tex]0.30 > 0.25[/tex]
two congruent squares are shown in figures 1 and 2 below
Answer:
Equal to, c^2, a^2+b^2, a^2 + b^2 = c^2
Answer:
The combined area of the shaded triangles in Figure one is equal to the combined area of the shadead triangles in figure 2. The area of the unshaded square in Figure 1 can be represented by c^2. The combined area of the two unshaded squares in Figure 2 can be represented by a^2+b^2. The areas of the squares in Figure 1 and Figure 2 who that a^2+b^2=c^2.
Step-by-step explanation:
I'm right and if you think I'm wrong then you're wrong
What is the volume of a regular triangular pyramid with an apothem of 2.3ft, a side length of 8ft and a height of 25 feet
230FT
Regular tetrahedron
Solve for volume
V≈1.15×107
Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.
Jffkdjdjdjdkskkskskskskakskkdkdkskdk
Answer:
the anser is d
Step-by-step explanation:
Answer:
b) 7x² - 12x√14 + 72
Step-by-step explanation:
Let's solve the problem,
→ (x√7 - 3√8)(x√7 - 3√8)
→ (x√7 - 3√8)²
→ 7x² - 12x√14 + 72
Hence, option (b) is correct.
100 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
15
Step-by-step explanation:
To find the answer you multiply the length by the width.
5×3=15
A={the letters of the word ,HIPPOPOTAMUS}
•ω• Hewo fren!
☆☆●◉✿Answer:✿◉●☆☆
The letters of hippopotamus is H-I-P-P-O-P-O-T-A-M-U-S
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
I’m sowy, I didn’t really understand your question... did you want to learn about a hippopotamus? If so, please tell me in the comments I would answer there too!
HOPE I HELPED! ∧∧
→⇒brainliest please? ∑(OΔO )♥♥︎
There were 3 chihuahuas at the dog park last Saturday, along with 9 other dogs. Considering this data, how many of the next 20 dogs to arrive at the park next Saturday should you expect to be chihuahuas?
Answer:
5
Step-by-step explanation:
Since there are 3 chihuahuas out of 12 dogs IN TOTAL (which includes the 9 other dogs), the ratio is 1:4, or 1/4.
Assuming this ratio is consistent, (1/4)*20 is 5.
In conclusion, you can expect there to be 5 chihuahuas out of the next 20 dogs to arrive at the park.
Hope it helped, and have a beautiful day/night! <3
61 POINTES!!!!!! (I will give brainliest)
A landscape architect designs a small splash pad represented by ΔABC. Then she decides to make the splash pad larger as shown by ΔADE. How are the splash pad designs alike? How are they different?
I think it is -4 and positive 2
What is the solution 5x-15=-25
Answer:
x= -2
Step-by-step explanation:
MARK AS BRAINLIEST!!
Answer: -2
Step-by-step explanation: -2 times 5 is -10. -10-15=-25
la
You spend some time in the kitchen making sure the recipe is just right for
the cooking show. You spend 2 3/4 hours baking and half of an hour
cleaning up the kitchen. How much time were you in the kitchen?
In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.
Answer:
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
Step-by-step explanation:
Given
[tex]Zeros: -5,-2,2[/tex]
Required
The polynomial function
If a function has a, b and c as its zeros, the function is:
[tex]f(x) = (x - a)(x - b)(x - c)[/tex]
So, we have:
[tex]Zeros: -5,-2,2[/tex]
[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]
Open the inner brackets
[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]
Expand the difference of two squares
[tex]f(x) = (x +5)(x^2 - 4)[/tex]
Expand
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
20?
Step-by-step explanation:
Answer: 8.9
Step-by-step explanation:
To find the hypotenuse, use the formula [tex]a^2 + b^2 = c^2[/tex]
The two "legs" are a and b (it doesn't matter which leg is a and which leg is b), but the most important thing is that the hypotenuse is c.
So, we now know that we have to solve for c. To solve for c, substitute the values shown in the image for a and b.
[tex]a^2 + b^2 = c^2[/tex]
[tex]8^2+4^2=c^2[/tex]
[tex]16 + 64 = c^2[/tex]
[tex]80 = c^2[/tex]
[tex]\sqrt{80}[/tex] = c
Use a calculator, and after rounding, you get 8.9
can someone help me find x
Answer:
x = 5
Step-by-step explanation:
Since this shape is a quadrilateral, the sum of the interior angles is 360.
Equation:
81 + 20x - 16 + 15x + 30 + 16x + 10 = 360
51x + 105 = 360
51x = 360 - 105
51x = 255
x = 5
4) To estimate the height of your home, you measure its shadow. The shadow of your home is 5.5 feet.
The shadow of the 10 foot tree has a shadow of 2.5 feet. Find the height of your home. Show all work.
Answer:
1.375 ft
Step-by-step explanation:
10/2.5 = 4
5.5 / 4 = 1 1.5/4 = 1 3/8 = 1.375 ft
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
football team scores 42 points in 3
games. Find the unit rate
Answer:
14
Step-by-step explanation: divide..
Answer:
14 points per game
Step-by-step explanation:
42/3 = 14