Ао
D
B
120°
Angle A =
degrees.
Answer:
A = 120
Step-by-step explanation:
Angle A is a vertical angle to 120 and vertical angles are equal
A = 120
[tex]\Large\rm\underbrace{{\green{ \: Angle \: A \: = \: 120 \degree}}}[/tex]
Because vertically opposite angles are always equal.
3x + ky = 8
X – 2ky = 5
are simultaneous equations where k is a constant.
b) Given that y = 1/2 determine the value of k.
Answer:
(a): x is 3 and ky is -1
(b): k is -2
Step-by-step explanation:
Let: 3x + ky = 8 be equation (a)
x - 2 ky = 5 be equation (b)
Then multiply equation (a) by 2:
→ 6x + 2ky = 16, let it be equation (c)
Then equation (c) + equation (b):
[tex] { \sf{(6 + 1)x + (2 - 2)ky = (16 + 5)}} \\ { \sf{7x = 21}} \\ { \sf{x = 3}}[/tex]
Then ky :
[tex]{ \sf{2ky = 3 - 5}} \\ { \sf{ky = - 1}}[/tex]
[tex]{ \bf{y = \frac{1}{2} }} \\ { \sf{ky = - 1}} \\ { \sf{k = - 2}}[/tex]
Simultaneous equations are used to represent a system of related equations.
The value of k when [tex]y = \frac 12[/tex] is -2
Given that:
[tex]3x + ky = 8[/tex]
[tex]x - 2ky = 5[/tex]
[tex]y = \frac 12[/tex]
Substitute [tex]y = \frac 12[/tex] in both equations
[tex]3x + ky = 8[/tex]
[tex]3x + k \times \frac 12 = 8[/tex]
[tex]3x + \frac k2 = 8[/tex]
[tex]x - 2ky = 5[/tex]
[tex]x - 2k \times \frac 12 = 5[/tex]
[tex]x - k = 5[/tex]
Make x the subject in [tex]x - k = 5[/tex]
[tex]x = 5 + k[/tex]
Substitute [tex]x = 5 + k[/tex] in [tex]3x + \frac k2 = 8[/tex]
[tex]3(5 + k) + \frac k2 = 8[/tex]
Open bracket
[tex]15 + 3k + \frac k2 = 8[/tex]
Multiply through by 2
[tex]30 + 6k + k = 16[/tex]
[tex]30 + 7k = 16[/tex]
Collect like terms
[tex]7k = 16 - 30[/tex]
[tex]7k = - 14[/tex]
Divide both sides by 7
[tex]k = -2[/tex]
Hence, the value of constant k is -2.
Read more about simultaneous equations at:
https://brainly.com/question/16763389
A hot air balloon is released into the air. During its straight ascent, the angle of elevation was 15° and, 3 minutes later, the angle of elevation increased 20°. How fast is the balloon traveling, in km/h, if the angle measurements were taken 300m away from the launch site?
Answer:
The speed of the balloon is 0.16 m/s.
Step-by-step explanation:
CD = 300 m
Let AD = x
AB = y
time, t = 3 min
Triangle, ADC
[tex]tan 15 = \frac{AD}{BC}\\\\0.27 \times 300 = x \\\\x = 80.4 m[/tex]
Triangle, BCD
[tex]tan 20 = \frac{BD}{BC}\\\\0.36 \times 300 = x + y \\\\x + y = 109.2 m[/tex]
So, y = 109.2 - 80.4 = 28.8 m
Speed = 28.8/180 = 0.16 m/s
If a sine curve has a vertical shift down 19 units with an amplitude of 21, what will the minimum and maximum values be? (i.e. how high and low will the graph go?)
Min Value:
Max Value:
Given:
Amplitude = 21
Vertical shift = 19 units down
To find:
The maximum and the minimum value.
Solution:
The general form of sine function is:
[tex]y=A\sin (Bx+C)+D[/tex]
Where, |A| is amplitude, [tex]\dfrac{2\pi}{B}[/tex] is period, [tex]-\dfrac{C}{B}[/tex] is phase shift and D is the vertical shift.
Here,
[tex]Maximum=D+A[/tex]
[tex]Minimum=D-A[/tex]
We have,
Amplitude: [tex]A = 21[/tex]
Vertical shift: [tex]D=-19[/tex]
Negative sign means shifts downwards.
Now,
[tex]Maximum=D+A[/tex]
[tex]Maximum=-19+21[/tex]
[tex]Maximum=2[/tex]
And,
[tex]Minimum=D-A[/tex]
[tex]Minimum=-19-21[/tex]
[tex]Minimum=-40[/tex]
Therefore, the minimum value is -40 and the maximum value is 2.
Question 8 If f (2) = (1 + 3) and g (2) VO+ 7, find g (f (x)). 9(f()) = 1 + 10 O g(f ()) = VI + 3 +7 Og(f (x)) = v= + 10 Og(f (2)) = 2? + 10
Answer:
x+10
Step-by-step explanation:
f(x) = (x+3)^2 and g(x) = sqrt(x)+7
g(f(x)) =
Replace f(x) in for x in the function g(x)
= sqrt((x+3)^2)+7
= x+3 +7
= x+10
Kenya solved the equation below. Negative 6 (x minus 2) + 3 x = negative 3 (x + 3) + 21 What is the solution to Kenya's equation? –4 12 no solution infinitely many solutions
Answer: No solution
Step-by-step explanation:
-6(x - 2) + 3x = -3(x + 3) + 21
-6x + 12 + 3x = -3x - 9 + 21
Collect like terms
-6x + 3x + 3x = -9 + 21 - 12
-6x + 6x = - 9 + 9
0 = 0
In this scenario, it can be deduced that there is no solution to Kenya's equation.
Answer:
infinitely many solutions
Step-by-step explanation:
i got it right
will give brainlest pls help me with all three questions
Answer:
Hello,
Step-by-step explanation:
3)
[tex]x^2-4x+3=0\\x^2-3x-x+3=0\\x(x-3)-(x-3)=0\\(x-3)(x-1)=0\\\\x-intercepts\ are\ x=3\ or\ x=1[/tex]
4)
[tex]-x^2-8x+12=0\\x^2+8x-12=0\\(x^2+2*4x+16)-16-12=0\\\\(x+4)^2-28=0\\\\\\(x+4-2\sqrt{7} )((x+4+2\sqrt{7} )=0\\\\x-intercepts\ are \ x=-4+2\sqrt{7}\ and\ x=-4-2\sqrt{7}\\\\[/tex]
5)
[tex]f(x)=-3(x-7)(x+4)\\=-3(x^2-3x-28)\\\\=-3(x^2-2*\dfrac{3}{2} *x+\dfrac{9}{4} )+\dfrac{27}{4} +84\\\\=-3(x-\dfrac{3}{2})^2+\dfrac{363}{4} \\\\\\Vertex\ is\ (\dfrac{3}{2},\dfrac{363}{4})[/tex]
Help asap struggling
Answer:
..D).... x = 8..
Step-by-step explanation:
..x = 8..
Instructions: Given the following coordinates complete the glide reflection
transformation.
A(-9,-2)
B(-9,-5)
C(-5,-4)
Transformation: Reflection over the y-axis and a translation of shifting up 5 units
Answer:
A(9,3)
B(9,0)
C(5,1)
Step-by-step explanation:
The perimeter of a rectangle is 40 inches. If the width is 9 inches, what is the area of the rectangle?
Answer:
99 in²
Step-by-step explanation:
Perimeter = 2(length) + 2(width)
40 = 2(length) + 2(9)
40 = 2L + 18
40 - 18 = 2l
22 = 2l
L = 11
Area = length x width
Area = 9 x 11 = 99
99 square inches
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: 360
Step-by-step explanation:
you multiply 40 and 9.
first you multiply 9 and 0 that is 0 then 9 to 4 and that is 36 so you get 360
if 2 and 4 are the factors of a number than is 8 always a factor? true or false
Answer:
hmmm I think it's true, if it's not my bad.
What percent of 500 is 125
Answer:
25%
Step-by-step explanation:
125 of 500 can be written as: 125 /500
To find a percentage, we need to find an equivalent fraction with the denominator 100. Multiply both numerator & denominator by 100.
125 /500 × 100 /100
= ( 125 × 100/ 500 ) × 1 /100 = 25 /100
Answer:
25%
Step-by-step explanation:
Of means multiply and is means equals
P *500 = 125
Divide each side by 500
P = 125/500
P = .25
Change to percent form
P = 25%
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
The distribution is positively skewed.
Step-by-step explanation:
It's not symmetric because the distribution in the chart isn't equally shown or marked. It's not negative skewed either because for it to be negative the graph would have to go down in a negative direction, usually the left, but in the picture you posted the graph is going down in the right direction. Lastly, positively skewed graphs or charts look like the one you posted. They go down in the right direction, hence why they're called "positively" skewed. The right tail of the distribution is longer in positively skewed graphs or charts.
help do y’all know this! Please if u do i need the answer
9.4 × [tex]10^{2}[/tex]
1) Move the decimal point 2 times to left in the number so that number, 940 so it's between 1-10: 9.4 or 9.40
2) After we moved our decimal point to the left, the decimal count would be 12 and that we moved 2 places to the left
3) We know that the notation is a x [tex]10^{b}[/tex]
a=9.4 and 6=2
9.4 × [tex]10^{2}[/tex]=a x [tex]10^{b}[/tex]
I hope I've helped!
Answer:
9.4x10^8
Step-by-step explanation:
940 million looks like
940,000,000. in scientific notation you would move the decimal left 8 spaces
what is the answer to
(35+5)[16+(12÷ 4)]
Hi there!
»»————- ★ ————-««
I believe your answer is:
760
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\(35+5)[16+(12\div 4)]\\------------------\\\text{Follow \textbf{PEMDAS}}\\\\\rightarrow 35+ 5 = 40\\\\40[16+(12\div 4)]\\\\\rightarrow 12\div4 = 3\\\\\rightarrow 16 + 3 = 19\\\\40(19)\\\\\rightarrow 40 * 19\\\\\boxed{760}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the equation of the line that passes through (-12,6) and (-6,1)?
Find the measure of the indicated angle.
Answer:
i think it the measured of the indicated angle is 55
Identify the perimeter and area of an equilateral triangle with height 12 cm. Give your answer in simplest radical form.
Answer:
perimeter is 36 cm
Step-by-step explanation:
An angle measures 89.8° more than the measure of its complementary angle. What is the measure of each angle?
Complementary angles always are 90 degrees when added to each other, so:
x = angle 1
x + 89.8 = angle 2
x + x + 89.8 = 90
2x = 90 - 89.8
2x = 0.2
x = 0.1
angle 1 = 0.1 degrees
angle 2 = 0.1 + 89.8 = 89.9 degrees
if you want to check, just sum one to the other and see if they equal 90, like this: 89.9 + 0.1 = 90
The volume of a prism with side lengths measured in millimeters is 20. How could this measurement be written? Check all that apply.
20 millimeters
20 mm3
20 mm2
20 square millimeters
20 cubic millimeters
Answer:
20 mm^3, 20 cubic millimeters
Step-by-step explanation:
The volume of a prism is length times width times height.
Length, width, and height can have units of mm.
mm * mm * mm = mm^3
The units of a volume must be cubic units.
Answer: 20 mm^3, 20 cubic millimeters
Brianna's Bakery offers 3 flavors of bagels. Customers can choose from plain, cinnamon, or blueberry bagels. Yesterday, a customer ordered 144 bagels for a company meeting. The order was for twice as many blueberry bagels as plain bagels and 3 times as many cinnamon bagels as blueberry bagels.
How many cinnamon bagels did the customer order
Answer:
96 darling
Step-by-step explanation:
youre gonna take all the times this was teice as mich as that
like this:blueberrybagel twice as much 2
than plain bagels 1
cinnamonbags 3 times as much than
blueberry bagels 2×3= 6+
=9
EACH portion contains144:9=16 bagels
blueberry ones16×2=32
plain ones16×1=16
cinnamon ones 3×32=96
Write an equation that represents the statement "the
product of a number, x, and the number 7 is 42."
Answer:
7x = 42
Step-by-step explanation:
"Product" refers to multiplication and "is" refers to equal to.
Hi! I'm happy to help!
This equation will be written like this
x×7=42
To make this easier to solve, we can use the inverse operation, division.
42÷7=x
42 divided by 7 is 6, so the answer is 6.
I hope this was helpful, keep learning! :D
After getting RM24 from his mother, Samuel had 3 times as much as he had previously. How much did he have previously?
Answer:
Samuel had RM8 previously
Step-by-step explanation:
24÷3=8
Someone help asappppp
Answer:
all have "bases" less than one which is a decay...
only "C" is greater than 1 (1.01)
"C" is the answer
Step-by-step explanation:
Mahmoud earns $450 per week plus a 20% commission as a car salesman. He wants his
hourly salary to be at least $35.
The inequality that relates the number of hours to the weekly sales is:
[tex]450 + 0.20x \ge 35y[/tex]
The complete question implies that we define an inequality that represents the relationship between the number of hours worked in a week and the weekly sales
We make use of the following representation:
[tex]x \to[/tex] weekly sales from cars.
[tex]y \to[/tex] hours worked in a week
His weekly salary is then calculated as:
Salary (S) = Earnings per week + Commission * Sales from car
So, we have:
[tex]S = 450 + 20\% * x[/tex]
Express percentage as decimal
[tex]S = 450 + 0.20* x[/tex]
[tex]S = 450 + 0.20x[/tex]
Assume he works for y hours in a week.
His hourly rate is:
[tex]Hourly = \frac{S}{y}[/tex] --- i.e. weekly salary divided by number of hours
[tex]Hourly = \frac{450 + 0.20x}{y}[/tex]
For this rate to be at least [tex]\$35[/tex], the following condition must be true
[tex]Hourly \ge 35[/tex] --- i.e. is hourly rate must be greater than or equal 35
So, we have:
[tex]\frac{450 + 0.20x}{y} \ge 35[/tex]
Multiply both sides by y
[tex]450 + 0.20x \ge 35y[/tex]
Learn more about inequality:
https://brainly.com/question/20383699
AB←→||CD←→. Find the measure of ∠BFG.
Answer:
Value of ∠ BFG = 135°
Step-by-step explanation:
Given:
AB || CD
∠ AFG = (3x + 15)°
∠ FGD = (5x - 5)°
Find:
∠ BFG
Computation:
We know that;
∠ AFG = ∠ FGD
3x + 15 = 5x - 5
3x - 5x = - 5 - 15
- 2x = - 20
2x = 20
x = 10
Value of ∠ AFG = 3x + 15
Value of ∠ AFG = 3(10) + 15
Value of ∠ AFG = 45°
∠ BFG = 180° - Value of ∠ AFG
∠ BFG = 180° - 45°
∠ BFG = 135°
Value of ∠ BFG = 135°
Please help!! Graph a line with a slope of 1/4 that contains the point (6,3).
Silly comments will the reported!!! Please explain if possible!!
Solve for x in the equation 2/5x = 12
A: -30
B: -4 4/5
C: 4 4/5
D: 30
Daphne borrows $2500 from a financial institution that charges 6% annual interest, compounded monthly, for 2 years. The amount that Daphne will need to pay back at the end of the term is
A company's stock price flucated over a period of four days. The table shows the change in stock price per day. The net change in the company's stock price over the four days
Answer:
The net change is -.30
Step-by-step explanation:
increase means add
decrease means subtract
+3.50
-3.70
+3.30
-3.40
-------------
-.30
The net change is -.30
