Find the equation of a parabola with focus F(-3, 9) and directrix x = -13.
Answer:
y² = 38x + 79
Step-by-step explanation:
Since directrix is the line x = -13, then it means x + 13 = 0
Focus is F(-3, 9).
Let A(x, y) be any point inside the plane having the focus and directrix.
Let MA be the perpendicular distance from A to the directrix and it means that A lies on parabola provided FA = MA.
Thus;
√[(x - (-3))² + (y - 9)²] = (x + 13)
Squaring both sides gives;
(x + 3)² + (y - 9)² = (x + 13)²
>> (x² + 6x + 9) + (y² - 18x + 81) = x² + 26x + 169
>> 6x + 9 + y² - 18x + 81 = 26x + 169
>> y² = 26x + 12x + 169 - 90
>> y² = 38x + 79
There is a direct path from Gail's house to the store. Do to construction, the direct route is closed and Gail must travel 6 miles east and an 8 miles north in order to get to the store. How long is the direct path from Gail's house to the store?
A)10 miles
B)12 miles
C)14 miles
Answer:
10 miles
Step-by-step explanation:
6 squared plus 8 squared = 100
the square root of 100 is 10 which is the hypotenuse of the route due to construction
Refer to the diagram below. What is the scale factor used to create the new shape.
Answer:
The correct answer is A: 4/5
Step-by-step explanation:
We would divide 24/30 and get 4/5
Judy has 100 pencils stored in boxes. If there are 20 boxes, how many pencils must go in each box?
Answer:
5 pencils per box
Step-by-step explanation:
The FAFSA4caster cannot help students:
O A. decide which colleges to apply to.
O B. plan for upcoming expenses.
O C. learn about how to pay for college.
O D. perform better on standardized tests.
Answer:
is D perform better on standardized test
Step-by-step explanation:
IT IS CORRECT TRUST! you welcome
One of the legs of a right triangle measures 7 cm and the other leg measures 3 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
about 7.6
Step-by-step explanation:
I got the measure of the hypotenuse to be about 7.6 because I did the Pythagorean theorem.
a^2+b^2=c^2
The value of a is the first leg (7cm), and the value of b is the second leg (3cm).
So, 7^2+3^2=58. Next, I found the square root of 58. The square root of 58 is 7.615773106. This value rounded to the nearest tenth is 7.6.
In conclusion, the measure of the hypotenuse rounded to the nearest tenth is about 7.6.
6. Which expression is equivalent to -21 + 28x? *
Answer:
21/28
Step-by-step explanation:
Are there any answer choices?
-21 + 28x = 0
28x = 21
Divide by 28
x = 21/28
The first term of a geometric sequence is 4, and the common ratio is 5. What is the 5th term of the sequence?
a.2,500
b.12,500
c.1,024
d.500
Answer:
A) 2,500
Step-by-step explanation:
Soo.....
A1 = 4
A2 = 4*5 = 20
A3 = 20*5 = 100
A4 = 100*5 = 500
A5 = 500*5 = 2,500
1. Find the surface area of a geometric box, whose length, breadth and height are respectively
18 cm, 8 cm and 1.8 cm.
Answer:
259.2
Step-by-step explanation:
multiply 18 x 8 x 1.8 to get 259.2cm
Which value from the set { 1/2 , 2/3 , 4/3 , 5/2 } is a value of x that will make the equation 3/4 ÷ x = 9/8 true?
Answer:
2/3
Step-by-step explanation:
To find out what x is in this case, divide 3/4 by 9/8.
3/4 / 9/8
Dividing by a fraction is the same as multiplying it's inverse.
3/4 * 8/9
Cross cancellation (3 & 9 (GCF: 3); 4 & 8 (GCF: 4)
1/1 * 2/3
We can remove the 1/1.
2/3
2/3 is the value of x that will make 3/4 ÷ x = 9/8 true.
How many seconds will it take for the penny to hit the ground?
Answer:
1 second
Step-by-step explanation:
[tex]-16t^2+16=0\\-16t^2=-16\\t^2=1\\t=1[/tex]
During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?
32%
20%
16%
12%
Find the length of the hypotenuse of the right triangle.
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Answer: 34
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: C=34
Step-by-step explanation:
[tex]16^{2} +30^{2} =C^{2} \\\sqrt{C^{2} }+ C[/tex]
Please help!! Find the missing length indicated.
Subtract
(5x^2-8x+7)-(2x^3+3x+1)
5x^2-11x-2x^3+6
Simplify the expression
answer: = -2x^2+6x+4
All ratios equivalent to -40/5
Answer:
Equivalent ratios calculator that shows work to find the equivalent ratios for the given ratio with two or more numbers.
Step-by-step explanation:
Find the radius of the circle. Please show work, thank you
Answer:
4.8
Step-by-step explanation:
Can someone pls help me with this escape room. This is my last question, I just cant figure out the code. Pls help.
Answer:The code is simple the answer is googl
Step-by-step explanation:
Activity 2: Identify Me
Direction: Determine whether each pair of triangles is congruent by SSS, SAS, ASAor AAS. If it is not possible to prove that they are congruent, wnte NOT POSSIBLE
Step-by-step explanation:
SSS axiomSAS axiomASA axiomASA axiomSAS axiomSSS axiomPlsssss help me illl appreciate it
Answer:
(2,2)
Step-by-step explanation:
-3 + 5 = 2
4 - 2 = 2
PLEASE I AM REALLY FONFUSED!!!!!!!!!!!!!!!!!! I AM BEGGING YOU I WILL GIVE EXTRA POINTS AND BRAINLIEST!!!!!!!!
Answer:
Hi, there your answer
Number 15: 16
Number16: 176
Number 17: 0
Number 18: 12
Number 19: -3
Number 20:-52
Number 21:{−9}
Number 22: {13}
Number 23:{1}
Number 24:{−90}
Number 25:{−2}
Number 26:{−2}
Number 27:{56}
Number 28:{9}
Number 29:{15}
Number 30: {−10}
Step-by-step explanation:
The answer are in bold I don't know if you are looking for the work or the answer???
Hope this helps :)
PLZ HELP WILL GIVE BRAINLIEST.
Answer:
1/24 or 4.17%Step-by-step explanation:
Probability of chocolate ice cream = 1/4Probability of chocolate chips = 1/3Probability of waffle cone = 1/2Probability of chocolate ice cream in a waffle cone with chocolate chips:
1/4*1/3*1/2 = 1/24 or 4.17%What is the factored form of the polynomial 3x-3y
Answer:
Step-by-step explanation:
3x - 3y = 3(x-y)
PLZ HELP 100 POINTS PLU BRAINLIEST FOR CORRECT ANSWERS
Answer:
d. x
Step-by-step explanation:
x(2x-1)/2x-1
x/1 since 2x-1/2x-1 cancels
x
Evaluate the following if a = 3,b= -2 and c = 1
a3 - 2bc +5ac
Answer:
28
Step-by-step explanation:
(3)×3 - 2×(-2)×(1) + 5×(3)×(1)
9 - -4 + 15 = 28
Answer:
46
Step-by-step explanation:
Given
a³ - 2bc + 5ac ← substitute values for a, b, c into the expression
= 3³ - (2 × - 2 × 1) + (5 × 3 × 1)
= 27 - (- 4) + 15
= 27 + 4 + 15
= 46
Write an equation in slope-intercept form of the line shown. (8, 4) (4, 1)
Step-by-step explanation:
m= 1-4/4-8 = -3/-4 = 3/4
y-1 = 3/4(x - 4)
y-1 = 3/4x -3
y = 3/4x -2
please help, this is very urgent!!! no links please, and also if ur answer is correct I'll give brainliest!!!!
Answer:
I) 616
II) 4.53
Step-by-step explanation:
For the first one, just plug in 7 as R.
A = 4 x (22/7) x 7^2
A = 12.57142857 x 49
A = 616
For the second, one, put 452 4/7 as A.
452 4/7 also is 258.285
258.285 = 4 x (22/7) x r^2
258.285 = 12.57142857 x r^2
Divide both sides by 12.57142857
20.55372408 = r^2
Square root 20.55372408 for R.
4.533621519 = R
OR
4.53 = R
HELP I don’t understand
Answer:
144, 36
Step-by-step explanation:
you know that if you add the two angles it will equal 180 degrees. so add the two angles and make them equal to 180 and solve for x.
(4x+8) + (x+2)=180
5x+10=180
5x=180-10
5x=170
x=34
now replace x in each equation:
4(34)+8=144
34+2=36
a bag of 40 marbles had 8 white marbles.What is the probabilty of picking a white marble
Answer: 8 / 48 or 1 / 6 (simplified).
Step-by-step explanation:
There are 48 marbles in the bag.
8 out of the 48 marbles are white, that's why the probability is 8/48 or 1/6.
"hypotenuse" of the triangle: if the height is 24 feet and base is 36 feet.
Answer:
43.27
Step-by-step explanation:
(24×24)+(36×36)= 1872
√1872=43.27
Using the Pythagorean theorem:
Hypotenuse = sqrt( 24^2 + 36^2)
Hypotenuse = sqrt(576 + 1296)
Hypotenuse = sqrt(1872)
Hypotenuse = 2sqtt(469) or 43.266