Answer:
6350
Step-by-step explanation:
srry if it's wrong :(
The equation of the directrix is (x=-2, x=2, y=2, y=-2?) and the focus is ( , ). This means that p=
Answer:
First question This parabola opens to the right so the standard form of the equation for this parabola is y^2 = 4px
for this question x=-2
2
0
2
for the third question The equation of the parabola is y^2 = 8x
Step-by-step explanation:
The equation for the parabola is y² = 4px, the equation of the directrix is x = -2, the focus is at (2, 0), and the value of p is 2.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
It is given that:
From the graph the equation will be:
y² = 4px
The focus is (2, 0)
As the directrix is x = -2
The value of p = 2.
Thus, the equation for the parabola is y² = 4px, the equation of the directrix is x = -2, the focus is at (2, 0), and the value of p is 2.
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ2
find the length of side x in the simplest radical form with a rational denominator
Answer:
Step-by-step explanation:
Recognize that this is a 30-60-90 triangle.
Write and solve an equation of ratios:
x 1
------ = ------- (which is the tangent of 30°)
√2 √3
Then √3*x = √2, and so:
√2
x = ----------
√3
Rationalize this as follows:
√2*√3 √6
x = ------------- = ------
3- 3
Please help please please
Answer:
4/3
Step-by-step explanation:
tan is opposite/adjacent
tan A is 12/9
12/9 simplified is 4/3
linear equation: -3(x+4)+5x=3(-2x-4) +8x
Answer:
-52
Step-by-step explanation:
I haven't learnt these types of things yet, just decided to give it a try.
Answer:
0 = 0
Step-by-step explanation:
Q= -3(x + 4)+5x = 3(-2x-4)+8x
first : -3 multiply both x and 4 and 3 multiply both -2x and -4
then : -3x-12+5x = -6x-12+8x
and then collect like terms ; -3x+5x -12= -6x+8x-12
= 2x -12 = 2x-12
finally, 2x-2x = -12+12
0 = 0
if it's helpful ❤❤
THANK YOU
10. The hour hand of a clock is 8 cm long.
What area does it cover in:
(a) 12 hours?
Simplify the expression.
8h + (-7.9d) - 16 + 5d - 2.9h
Answer:
-2.8h-26+5d
Step-by-step explanation:
So just combine like terms
For the h, you’d get -2.8
For the d, you’d get 5
For the normal integer, -26
Answer:
8h-7.9d-16+5d-2.9h
5.1h-7.9d-16+5d
=5.1h-2.9d-16
Step-by-step explanation:
What appropriate scale of numbers would you use for the following set of coordinates? [(90,9), (-110, -11), (40,4), (-60, -6), (-80, -8)] *
III
Andrea wants to find the number that is 136% of 85. If n represents the unknown number,
which proportion can Andrea use to find n?
Answer:
n = 115.6Step-by-step explanation:
Number = 85136% of the number = nThe proportion would be:
136%/100% = n/85n = 85*1.36n = 115.6Answer:
[tex]n = 136\% \: of \: 85 \\ n = \frac{136}{100} \times 85 \\ n = 1.36 \times 85 \\ \boxed{n = 115.6}[/tex]
Therefore, the unknown number "n" is 115.6Andrea can use the proportion :--- n/85=136/100Mrs. Barlow's math class took a test yesterday. Out of 80 students, 70% of them passed. How many of Mrs. Barlow's students passed the test?
A.
24
B.
56
C.
6
D.
2
Answer:
B.56
Step-by-step explanation:
80x0.70 is 56
A triangle has side lengths of 19 centimetres, 19 centimetres, and 20 centimetres. Is this triangle equilateral?
Answer:
no a equilateral triangle has the same length sides all the way around
Mia drew a map of a park. Mia’s map shows the endpoints of the walking paths at A(2, 2), B(2, 6), C(8, 6), and D(8, 2). There are 6 walking paths: AB, BC, CD, AD, AC, and BD.
1. Are walking paths AB and CD parallel? Explain.
2. Are walking paths AC and BD perpendicular? Explain.
3. Mia also drew path FG that goes through (12, 2) on her map and is parallel to path AC. Write an equation for path FG.
4. Mia also drew path MN that goes through (10, 10) on her map and is perpendicular to path BD. Write an equation for path MN.
Answer:
1. yes, because they both have the same undefinite slopes. They are both vertical lines.
2. no, because their slopes are not negative reciprocals.
3. [tex]y=\frac{2}{3}x-6[/tex]
4. [tex]y=\frac{3}{2}x+5[/tex]
Step-by-step explanation:
In order to solve this problem, we can start by drawing a diagram of the paths Mia drew. (See attached picture the red lines are the original paths).
1. In order to determine if the paths are parallel or not, we need to first know what the slope of the paths is. The slope of the paths can be found by using the equation:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
So, for path AB we get:
[tex]m_{AB}=\frac{6-2}{2-2}[/tex]
which yields:
[tex]m_{AB}=\frac{4}{0}[/tex]
Now, since we have a denominator of 0 in that friction, this means that the division is not defined for the real number, therefore, we are dealing with a vertical line.
for the path CD we get:
[tex]m_{CD}=\frac{2-6}{8-8}[/tex]
which yields:
[tex]m_{AB}=-\frac{4}{0}[/tex]
Now, since we have a denominator of 0 in that friction, this means that the division is not defined for the real number, therefore, we are dealing with a vertical line.
Therefore, since both slopes are the same, this means that the two lines will be parallel.
2. The procedure is the same as in the previous problem:
[tex]m_{AC}=\frac{6-2}{8-2}[/tex]
which yields:
[tex]m_{AC}=\frac{2}{3}[/tex]
for the path BD we get:
[tex]m_{BD}=\frac{2-6}{8-2}[/tex]
which yields:
[tex]m_{BD}=-\frac{2}{3}[/tex]
This two fractions are just opposite in sign. But for the lines to be perpendicular, their slopes should be negative reciprocal. In this case they are not reciprocal, so the lines are not perpendicular to each other.
3. For part 3, we know that for two lines to be parallel, their slopes must be the same. We already found the slope of AC to be:
[tex]m_{AC}=\frac{2}{3}[/tex]
we also know the line must go through the point (12,2), so we can use the point-slope form of the equation:
[tex]y-y_{1}=m(x-x_{1})[/tex]
so we can go ahead and substitute the pertinent data:
[tex]y-2=\frac{2}{3}(x-12)[/tex]
So now we can solve it for y so it gets the slope-intercept form, which is:
[tex]y=\frac{2}{3}x-6[/tex]
4. In this part of the problem, we will need to follow a similar process, but this time, we need the slope to be negative reciprocal to slope of the line BD.
[tex]m_{BD}=-\frac{2}{3}[/tex]
so:
[tex]m_{MN}=\frac{3}{2}[/tex]
so now we can build our equation with the point-intercept form and the given point so we get:
[tex]y-10=\frac{3}{2}(x-10)[/tex]
So now we can solve it for y so it gets the slope-intercept form, which is:
[tex]y=\frac{3}{2}x-5[/tex]
Help me, please. It’s due at 8AM.
Answer:
93
Step-by-step explanation:
v=66×62/44=93
hope it helps
Hey there!
“66 / v = 44 / 62”
~ FIRST you have to CROSS MULTIPLY
66 • 62 = 44 • v
66 • 62 = 4,092
44 • v = 44v
➡️ 4,092 = 44v
~ SECOND TURN/FLIP your EQUATION
44v = 4,092
~ THIRD DIVIDE both SIDES by 44
44v / 44 = 4,092 / 44
CANCEL out: 44 / 44 because that gives you 1
KEEP: 4,092 / 44 because that gives you the v-value
FOURTH: SOLVING
4,092 / 44 = v ; v = 4,092 / 44
Solve the equation that’s in STEP FOUR and you have your v-value
Answer:
v = 93 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Simplify 7-5x-(3+5x)
Answer:
-10x +4
Step-by-step explanation:
Find the value of x and y
Option 1
Option 2
Option 3
Option 4
Johanna sells small cakes for $60 and large cakes for $80. She earned $1200 in sales one day. Johanna found that she could represent this situation with the equation
60x+80y=1200
where x is the number of small cakes and y is the number of large cakes.
If this equation is rewritten as a function by solving for y, what would be a reasonable domain for that function?
Answer:
[tex]0 \le x \le 20[/tex]
Step-by-step explanation:
Given
[tex]60x + 80y = 1200[/tex]
Required
Determine the domain
[tex]60x + 80y = 1200[/tex]
First, solve for y
[tex]80y = 1200 - 60x[/tex]
Divide through by 80
[tex]\frac{80y}{80} = \frac{1200}{80} - \frac{60x}{80}[/tex]
[tex]y = \frac{1200}{80} - \frac{60x}{80}[/tex]
[tex]y = 15- 0.75x[/tex]
Given that x represents large cakes
The smallest number of cakes is 0.
To get the largest, we simply set y to 0 (to get the x intercept)
[tex]0 = 15- 0.75x[/tex]
[tex]-15 = - 0.75x[/tex]
Solve for x
[tex]x = \frac{-15}{-0.75}[/tex]
[tex]x = 20[/tex]
Hence, the domain is:
[tex]0 \le x \le 20[/tex]
share 15 centimetre in the ratio 1:2
Answer:
=7.5cm
Step-by-step explanation:
15=1:2
15=1/2
=15/2
=7.5cm
I hope it's help youWhat is the decimal equivalent of the 15/8
A 15.8
B 1.875 repeat
c.0.53 repeat
D. 1.875
Answer:
A) 15.8
Step-by-step explanation:
10/8 = .80
15+ .80 = 15.8
A rectangle has an area of 45x2 − 42x − 48 and a width of 5x − 8. What is the length of the rectangle? To find the length of the rectangle, use 45x2 − 42x − 48 as the
Answer:
The length of the rectangle is given as:
(9x + 6)
Step-by-step explanation:
The area of a rectangle is given as:
Length × Width
Area of the rectangle = 45x² − 42x − 48
Width = 5x - 8
We solve for the length of the rectangle by factorising the area of the rectangle
45x² − 42x − 48
45x² - 72x + 30x - 48
(45x² - 72x )+ (30x - 48)
9x(5x - 8) + 6(5x - 8)
(5x - 8)(9x + 6)
Therefore:
The length of the rectangle is given as:
(9x + 6)
Answer:
B. dividend
A. divisor
D. 9x + 6
Step-by-step explanation:
edge 2023
Bradley needs to paint a logo made using to right triangles the dimensions of the logo are shown below what is the total area of the two triangles that need to be painted?
Chanelle deposits $7,500 into the bank. She does not withdraw or deposit money for 6 years. She earns 6% interest during that time. a. How much interest will she have earned at the end of 6 years? She will earn $2,700 interest b. What will the balance be when she is finally able to withdraw her money?
Answer: a. $2700
b. $10200
Step-by-step explanation:
a. The interest she would have earned at the end of the 6 years can be gotten using the formula
= PRT/100
= $7500 × 6% × 6
= $7500 × 6/100 × 6
= $7500 × 0.06 × 6
= $2700
b. Her balance when she wants to withdraw the money would be:
= $7500 + $2700
= $10200
what's 9-3 / 1/3 + 1
Answer:
3
Step-by-step explanation:
9 - 3 = 6
6/ 1/3 = 2
2 + 1 = 3
Which statements are true about the figure below?
Answer: B and D
Step-by-step explanation:
i think
Subtract 4/9 and 1/5 in the simplest form
Answer:
4/9 or 0.4
Step-by-step explanation:
Answer:
4/9-1/5
=11/45
Step-by-step explanation:
Which of the following expressions are equivalent to -8- (-1) - 5?
Choose 2 answers:
A
-8-1-5
(
B
-8 + 1 - 5
--8 +(-1) + (-5)
o (8 + 1) - 5
- (8 - 1+5)
Answer:
B and EStep-by-step explanation:
Given: -8 - ( -1 ) - 5 = -12
B. -8 + 1 - 5
= -8 + 1
= -7 - 5
= -12
E. - ( 8 - 1 + 5 ) it will be -8 + 1 - 5
= -8 + 1
= -7 - 5
= -12
Answer:
its b and e
Step-by-step explanation:
Find three consecutive even integers whose sum is -48
Answer:
-15, -16, -17
Step-by-step explanation:
For three consecutive integers, we can divide the sum by 3 to find the middle integer. Then subtract 1 to get the first integer and add 1 to get the third integer.
-48 ÷ 3 = –16
–16 -1 = –15
–16 +1 = –17
Find the length of ĀB.
A. About 3.6 units
B. 89 units
C. 13 units
D. About 9.4 units
Answer:
D. About 9.4 units
Step-by-step explanation:
[tex]ab = \sqrt{ {(9 - 4)}^{2} + {(10 - 2)}^{2} } \\ ab = \sqrt{ {(5)}^{2} + {(8)}^{2} } \\ ab = \sqrt{25 + 64} \\ ab = \sqrt{89} \\ ab = 9.43398 \: units[/tex]
Find the product of 5 2/3 and 4 1/2. Express your answer in simplest form.
25 1/2 Answer
may be this is helpful!
The ratio of ducks to geese in a pond is 3 : 5. There are 27 ducks.
How many geese are there?
Answer:
D:G-------> 3:5
27/3=9
9 x 5= 45
45 geese
The table shows how many of each type of movie are being shown at a theater.
Type Number
Thriller 222
Action 555
Drama 444
Comedy 333
What is the ratio of action movies to dramas?
Choose 1 answer:
Answer:
ratio is 5isto 4 byan action and drama
That’s the question! I hope uu can help!
Answer:
question 2 is plus 12
Step-by-step explanation:
Answer:
it would be answer 4 (+12) because you're gaining 12 yards
