Answer:
Center: (4,-2)
Radius: 2√3 units
Step-by-step explanation:
We wish to find the center and radius of the equation x²+y²-8x+2y=-8
Step 1: Complete the square for both variables:
x²+y²-8x+2y=-8
x²-8x+y²+2y=-8 (Rearrange)
x²-8x+16+y²+2y+4=-8+16+4 (Add to both sides)
(x-4)²+(y+2)²=12 (Reduce trinomials)
Step 2: Interpret the center and radius of the circle:
The equation of a circle is (x-h)²+(y-k)²=r² where (h,k) is the center of the circle and r is the radius of the circle. Since (h,k) translates to (4,-2), this means the center of the circle is (4,-2). Since r²=12, then r=√12=2√3 units
10. How do you find the product of the following? Show all your work. a. Binomial squared: (2x + 3)2 b. Binomial squared: (2x - 3)2 C. Difference of squares: (x + 5)(x - 5)
Answer:
A
Step-by-step explanation:
A because when you find the product you need to add
Your friend has n pennies. You have 29 pennies. You and your friend have a total of 40 pennies. Which equation could be used to find n?
Answer:
40-29=n
Step-by-step explanation:
You have 29 in total yall have 40
so to find ur friends we subtract
Answer:
Step-by-step explanation:
your pennies + your friends pennies = the total number of pennies between you two
so the equation would be :
29 + n = 40
(im not sure if you wanted it solved for n but here is the solution just in case)
29 + n = 40
n = 40 - 29
n = 11
What are two numbers that multiple to -64 and add to -12
Answer:
-16,4 are the two numbers
Which graphs shows I(-3,-1)
Answer:
Option 3 (lower left)
Step-by-step explanation:
How many 2-digit numbers are multiples of 5 but not 4?
Answer:
14
Step-by-step explanation:
The numbers you are describing can end in 5. But there are others as well. They are t = 10 + 20*n where n goes from 0 to 4. So if n is 4 that means that t = 4*20 + 10 = 80 + 10 = 90.
Solution
15 25 35 45 55 65 75 85 95 are all divisible by 5 but not 4
10 30 50 70 90 are all divisible by 5 but not 4
Mahmoud is working out the height, h metres, of a tower
BT which stands on level ground.
He measures the angle TAB as 25°.
He cannot measure the distance AB and so he walks 80 m
from A to C, where angle ACB = 18° and angle ABC = 90°.
Calculate
Answer:
24.72 m
11.53 m
Step-by-step explanation:
Horizontal distance AB can be obtained from △ABC
From trigonometry :
Sin18° = opposite / hypotenus
Sin18° = AB / 80
AB = 0.3090169 * 80
AB = 24.72 m
The height BT, of tower from △ABT
From trigonometry :
Tan25° = opposite / Adjacent
Tan25° = h / 24.72m
h = Tan25 * 24.72
h = 11.527
h = 11.53 m
Hence, height of tower BT = 11.53 m
Which statements about the graphs of functions g(x) = 4x and f(x) = x are true? Select all that apply.
A. g is wider than
B. fand g open in the same direction
C. fand g have the same vertex
D. fand g have the same axis of symmetry
Answer:
A
Step-by-step explanation:
quadratic equation: I NEED HELP- ignore the answer I pressed it's wrong
Write an equation in slope-intercept form of the line that has a slope of -9 and a y-intercept of -4
ANSWER ASAP PLEASE!!
y=-9x-4
Slope intercept form uses the formula, y=mx+b, where m is the slope and b is the y- intercept.
I hope this helps. Have a great day!
Answer:
Y=-9x-4
Step-by-step explanation:
The formula for slope-intercept form is y=mx+b. M is the slope and b is the y-intercept. All you need to do is plug in the numbers. I hope I helped. :>
Brainliest. Brainliest WHO WANTS A BRAINLIEST
Answer:
B
Step-by-step explanation:
Answer:
1. x > -25
2. x > -16
3. x > -2
4. x [tex]\geq[/tex] 10
Give brainliest
What is cos 30°? 60° 1 90° 30° V3 O A. v3 O B. 1 O c.
Answer:
E
Step-by-step explanation:
Cos=Adjacent/hypotenuse
Cos30=rad3/2
The cosine function for Ф = 30 is equivalent to :
cos(30) =√3/2.
What are trigonometric functions?There are six major trigonometric functions as -
Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)We can write the relation between them as -
Sine = 1/cosecantCosine = 1/secantTangent = 1/CotangentAlso the following trigonometry relations hold true -
sin²Ф + cos²Ф = 1
1 + tan²Ф = sec²Ф
1 + cot²Ф = cosec²Ф
Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.
We can write the cosine function as -
cosФ = Base/Hypotenuse
cos(30) = √3/2
So, we can conclude that the cosine function for Ф = 30 is equivalent to :
cos(30) =√3/2
Therefore, the cosine function for Ф = 30 is equivalent to :
cos(30) =√3/2.
To solve more questions on trigonometric functions, visit the link below-
https://brainly.com/question/30672622
#SPJ7
WILL GIVE BRAINLIEST
write the slope intercept form of the equation with the given characteristics. slope = 4; passes through (-12,9)
Answer:
y = 4x + 57
Step-by-step explanation:
y = 4x + b
9 = 4(-12) + b
9 = -48 + b
57 = b
y = 4x + 57
Please help! I will give Brainliest!
Answer:
A. 44/625
Step-by-step explanation:
There are 25 marbles total. To first calculate the probability of picking a yellow marble first can be represented as 11/25, the probability of picking blue is 4/25. We multiply these to figure out the probability of finding a yellow marble and then a blue one.
11/25 x 4/25 = 44/625
8 to the power of 3
pls answer
Answer:
512
Step-by-step explanation:
8x8x8=512
pretty simple
Answer:
512
Step-by-step explanation:
8*8*8=512
The city is planting new trees in its downtown to make the streets more comfortable for visitors. They are planting each tree 12 feet apart. How many trees can they plant on 2 miles of streets? Hint is that 5280= 1 mile. Please help
Step-by-step explanation:
let's make T= the number if trees...
If we're placing one tree every 12 feet for two miles, then:
T×(space between trees) = (number of miles)×(1mi.)
T×12ft. = 2×1mi. = 2×5280ft.
Dividing by 12ft. to isolate T gives us:
T=(2×5280)/12 = 880
So that'll be 880 trees for 2 miles of street.
The number of trees that they plant on 2 miles of streets will be 880 trees.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
The city is planting new trees in its downtown to make the streets more comfortable for visitors.
They are planting each tree 12 feet apart.
Then the number of trees that they plant on 2 miles of streets will be
We know the conversion of miles into feet.
1 mile = 5280 feet
2 miles = 10560 feet
Then the number of trees will be
Number of trees = 10560 / 12
Number of trees = 880
More about the division link is given below.
https://brainly.com/question/369266
#SPJ2
Need help with school please help
Answer:
26
Step-by-step explanation:
The triangle equals 180 degrees the two measurements we already have is 90 degrees (the right angle) and 64 degrees.
90+64=154 and 180-154=26.
So 26 is your answer because 90+64+26=180
Hope this helps!
Help please I might fail…
Answer:
9 /4 which equals 2 and 1/4
Step-by-step explanation:
plugged into the calculator!
A data set is made up of these values.
1, 4, 4, 5, 6, 8,9
Find the interquartile range.
A. 9 -1 = 8
B. 9-8 = 1
C. 4-1 = 3
O 0
D. 8 -4 = 4
SUBMIT
Answer:its D 8 -4 = 4
Step-by-step explanation:
Someone help me with this pls
Answer:
y^6 or y^13/y^7
Step-by-step explanation:
-5×3+7×4-54÷9+2 ( step by step explanation pls do fast...)
Answer:
9
Step-by-step explanation:
-5×3+7×4-54÷9+2
-5×3+7×4-6+2
-15+28-6+2
-15-6+28+2
-21+30
9
Dan spent $765.00 on equipment to open a business selling bumitos. He sells the burritos for $3.50 each. The cost of the ingredients to make each burito is $0.75
Answer: 3:50b>765.00+0.75 279 Burritos
Step-by-step explanation:
[tex]1 + 1[/tex]
im just happy to boost points
PLEASE HELP!! NO LINKS!!
Answer:
105°
cause You can measure an arc in degrees just like you measure an angle
need to know the answer
Answer:
Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel
Step-by-step explanation:
The given function required to be plot is y = x² - 2·x - 8
Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;
h = -(-2)/(2×1) = 1
k = 1² - 2×1 - 8 = -9
The coordinates of the vertex = (1, -9)
The roots of the equation is given when y = 0, as follows;
At the roots, we have;
x² - 2·x - 8 = 0
By factorizing, we get
x² - 2·x - 8 = (x - 4)·(x + 2) = 0
Therefore. the roots of the equation are;
x = 4, and x = -2
The coordinates of the roots are;
(4, 0), and (-2, 0)
Two other points can be found at when x = 3 and when x = 0 as follows;
When x = 3, we have;
y = 3² - 2×3 - 8 = -5
(3, -5)
When x = 0, we have;
y = 0² - 2×0 - 8 = -8
(0, -8)
The five points are;
(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)
The graph of the equation created using MS Excel showing the five points is attached.
1) Find the area of a triangle with a height of 9 cm and a base of 5 cm.
Step-by-step explanation:
area of triangle=1/2 base×height
1/2,×5×945/222.5cm²stay safe healthy and happy..hello please help i’ll give brainliest
Erosion should be the right answer
Answer:
Volcanic Eruptions, Mountain Range Formations, Earthquakes
Step-by-step explanation:
can i have help please im not smart lol
Answer:
w + 1.3 = 2.7
Joanne puts 40 bacteria in a petri dish. The population of bacteria is doubling every hour. Which function best represents the situation?
what is the mean of 3 6 11 7 4
Solve for b.
- 28 – 6b= 8
Answer:
-6
Step-by-step explanation:
- 28 – 6b= 8
step 1 add 28 to each side
-28 + 28 cancels out
28 + 8 = 36
we now have -6b = 36
step 2 divide each side by -6
-6b / -6 = b
36 / -6 = -6
we're left with b = -6
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]b=-6[/tex]
»»————- ★ ————-««
Here’s why:
We will have to preform inverse operations to solve for 'b'.
[tex]\boxed{\text{Solving the equation for 'b':}}\\\\-28-6b=8\\\\--------\\\rightarrow-28+28-6b=8+28\\\\\rightarrow-6b=36\\\\\rightarrow\frac{-6b=36}{-6}\\\\\rightarrow \boxed{\text{b=-6}}\\\\\text{The value of 'b' is \boxed{-6}.}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.