Answer:
x = -8, y = 4
Step-by-step explanation:
3x + 3y = -12 (1)
x + 6y = 16 (2)
Multiply (2) by 3
3x + 18y = 48 (3)
3x + 3y = -12 (1)
Subtract (1) from (3) to eliminate x
18y - 3y = 48 - (-12)
15y = 48 + 12
15y = 60
y = 60/15
y = 4
Substitute y = 4 into (1)
3x + 3y = -12 (1)
3x + 3(4) = -12
3x + 12 = -12
3x = -12 - 12
3x = -24
x = -24/3
x = -8
x = -8, y = 4
Given the conversion factor 12/1 in over 1ft, which cube has the larger surface area?
Answer:
Solid A
Step-by-step explanation:
3 feet is 3 x 12 = 36 inches, which is less than 48 inches, so solid A has a larger surface area than solid B.
Zendaya has 5/6 yard of wood to make racks for a wood game . Each rack needs to be 1/6 yard long. How many racks can Zend ayah make from her piece wood? Show how you found the answer.
Answer:
Number of rack made from total wood = 5 rack
Step-by-step explanation:
Given:
Length of wood Zendaya has = 5/6 yard
Length of each rack = 1/6 yard
Find:
Number of rack made from total wood
Computation:
Number of rack made from total wood = Length of wood Zendaya has / Length of each rack
Number of rack made from total wood = [5/6] / [1/6]
Number of rack made from total wood = [5/6][6/1]
Number of rack made from total wood = 5 rack
HELP ILL GIVE BRAINLIEST
Answer:
-2/3
Step-by-step explanation
Use the two points on the graph to calculate the slope. (2, -1) and (-4, 3)
The formula is (y2 - y1)/(x2 - x1) so (3 - (-1))/(-4 - 2) = 4/-6 = -2/3
the only solution to x² + bx + c = 0
is x = 5
work out the values of b and c
Answers:
b = -10
c = 25
=================================================
Explanation:
If x = 5 is the only solution then (x-5) is the only factor. Turns out we have repeated solutions and repeated factors. Meaning (x-5)(x-5) = (x-5)^2 is what we're after.
Expand that out to get
(x-5)^2
x^2 - 5x - 5x + 25
x^2 - 10x + 25
Then compare this to x^2 + bx + c to find
b = -10
c = 25
If you were to solve x^2-10x+25 = 0, you'll find that x = 5 is the only root.
A zoo measured the wingspan, in millimeters of 9 butterflies What is the median length of the wingspan
I need to get an a please help
Answer:
n ≥ -5/14
Step-by-step explanation:
64n - 6 ≥ 36n -16
subtract 36n from each side
64n -36n - 6 ≥ 36n-36n -16
28n - 6 ≥ -16
add 6 to each side
28n -6+6 ≥ -16+6
28n ≥ -10
Divide each side by 28
28n/28 ≥ -10/28
n ≥ -5/14
Answer:
n ≥ -5/14
Step-by-step explanation:
64n - 6 ≥ 36n -16
subtract 36n from each side
64n -36n - 6 ≥ 36n-36n -16
28n - 6 ≥ -16
add 6 to each side
28n -6+6 ≥ -16+6
28n ≥ -10
Divide each side by 28
28n/28 ≥ -10/28
n ≥ -5/14
What number has a value less than 14.7?
Answer:
Anything below 14.7
Step-by-step explanation:
can someone please help with this i don’t know how to do it 85points
Answer:
Step-by-step explanation:
You can find the area by cutting it across in the middle into a trapezoid and a rectangle.
The trapezoid will have:
height = 10-4 = 6ft
top = 9-6 = 3ft
bottom = 8ft
So its area = 1/2*(3+8)*6 = 33 ft^2
The rectangle will have:
length = 10ft
width = 6ft
So its area = 10*6 = 60 ft^2
Total area = 60+33 = 93 ft^2
Answer:
93 ft^2.
Step-by-step explanation:
Divide the figure into 3 shapes; a triangle (top), and two rectangles (one in the middle and one on the bottom).
First find the area of the rectangle;
10*6 = 60 save that for later;
The dimensions of the second rectangle are not given but you can solve for them.
The width of the base of the second rectangle will be 10ft. - 4 ft. , this is because the base of the first rectangle is part of the base of the second rectangle with a length of 4 ft cut off.
The height of the second rectangle is given by 9ft. - 6ft.
Multiply the width (base) and height;
6*3=18
The base of the triangle is the same as the second rectangle's. Use that for the base. The height is given by 8-(the height of the second rectangle). The height is 5 and the base is 6.
1/2(5*6) = 15
Add all of the values together;
15+18+60 = 93 ft^2
Use what you know about similarity and proportions to solve for x in the triangles below. Show all work.
4
10
5
x + 5
Answer:
Value of x = 7.5 unit
Length of side = 12.5 unit
Step-by-step explanation:
Given that both triangles are similar because all angles are equal;
So, the ratio of similar lines is in the same proportion.
[x + 5] / 5 = 10 / 4
4[x + 5] = 50
4x + 20 = 50
4x = 50 - 20
4x = 30
x = 30 / 4
x = 7.5
So,
Value of x = 7.5 unit
Length of side = x + 5
Length of side = 7.5 + 5
Length of side = 12.5 unit
What is the image point of (2,7) after a translation left 4 units and up 2 units?
Please hurry ASAP no links
Answer:
Coordinates of the image point → (-2, 9)
Step-by-step explanation:
If a point (x, y) is translated by 'h' units left and 'k' units up then the rule for the translation will be,
(x, y) → (x - h, y + k)
Rule for the translation of a point (2, 7) by shifting 4 units left and 2 units up will be,
(2, 7) → (2 - 4, 7 + 2)
→ (-2, 9)
Coordinates of the image point → (-2, 9)
PLS HELP URGENT ILL GIVE U BRAINLIST!
lim(x --> 3)(-5x^ 2 -2x+4)
A. -47
B. 47
C. 0
D. 3
Hi there!
[tex] \large{lim_{x \longrightarrow 3}( - 5 {x}^{2} - 2x + 4)}[/tex]
Simply substitute x = 3 in the expression.
[tex] \large{ - 5 {(3)}^{2} - 2(3) + 4} \\ \large{ - 5(9) - 6 + 4} \\ \large{ - 45 - 6 + 4} \\ \large{ - 47}[/tex]
Questions can be asked through comment.
Furthermore, limit is like substituting a value. Note that limit is about an approaching value. This is a basic limit.
Hope this helps, and Happy Learning! :)
How many coins make $7.68 in cents
What's the degree of x^2+9x-8
Answer:
2
Step-by-step explanation:
The degree of a function is the highest power any single term is raised to.
x^2 is the term that has the highest degree, so in this case, the degree is 2.
For example; in x^5-x^4-3x^3; the degree would be 5 because the highest power x is raised to is 5.
Simplify for ez quick points!
Answer: 64
Step-by-step explanation: 4x4x4=64
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{4}^3[/tex]
[tex]\large\text{= 4}\times\text{4}\times\text{4}[/tex]
[tex]\large\text{= 16}\times\large\text{4}[/tex]
[tex]\boxed{\large\text{= \bf 64}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 64}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
-6y-18 this is really overdue and its hard for me so can someone help
Find missing measure (No.6)
Answer:
Step-by-step explanation:
6 no
1.angle 2=92 degree(being vertically opposite angle)
2.angle 1+33+92=180(sum of interior angles of a triangle)
angle 1+125=180
angle 1=180-125
angle 1=55
3.angle 3+angle 2+115+90=360(sum of four angles is always 360 degree)
angle 3+92+205=360
angle 3+297=360
angle 3=360-297
angle 3=63
What is 66.6% as a fraction ( simplest form )
If a movie begins at 5:10 p.m. and runs for 1 hour and 45 minutes, what time will the movie end?
(Answer:_:__p.m.)
Answer:
6:55 p.m
Step-by-step explanation:
Hour connects with hour therefore, 5 + 1 = 6
Minutes connects with minutes thus, 10 + 45 = 55
Hence it being 6:55 p.m when the movie finishes if it starts at 5:10 p.m.
Pls solve, need help
Answer:
The answer is c
Step-by-step explanation:
because it is equal to the fraction above
If P = (-1,6), Find: Rx-axis (P).
Can you show me how to do this?
And explain lt to me like I'm 8 xD
appreciate it.
I hate math lol.
Answer:
Step-by-step explanation:
its (-1,-6)
this is your answer
PLEASE HELP ME I WILL HIVE BRAINLYEST
Answer:
Step-by-step explanation:
a). Points on a number line are,
x = -7, 1
Number of small blocks between x = -7 and 1 is 8.
Distance = 8
b). Difference between two points x = -7, 1 will be,
1 - (-7) = 1 + 7
= 8
-7 - 1 = -8
c). Absolute value of each difference,
|1 - (-7)| = 1 + 7
= 8
|-7 - 1| = |-8|
= 8
If tanΘ = 6/5 and cosΘ < 0, what is sin2Θ?
An explanation on how to solve this problem would be great, thanks!!
Answer:
[tex]\displaystyle \sin2\theta=\frac{60}{61}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \tan\theta=\frac{6}{5}\text{ and } \cos\theta <0[/tex]
And we want to find the value of sin(2θ).
First, recall that tangent is the ratio of the opposite side to the adjacent side.
Therefore, the hypotenuse is:
[tex]h=\sqrt{6^2+5^2}=\sqrt{61}[/tex]
Next, note that tangent is positive and cosine is negative. Tangent is positive in QI and QIII. Cosine is negative in QII and QIII.
Hence, we can conclude that θ must be in QIII.
In QIII, sine is negative, cosine is negative, and tangent is positive.
And with respect to θ, our opposite side is 6, adjacent side is 5, and the hypotenuse is √(61).
We can rewrite our expression as:
[tex]\sin2\theta=2\sin\theta\cos\theta[/tex]
Using the above information, substitute:
[tex]\displaystyle =2\left(-\frac{6}{\sqrt{61}}\right)\left(-\frac{5}{\sqrt{61}}\right)[/tex]
Simplify. Hence:
[tex]\displaystyle \sin2\theta=\frac{60}{61}[/tex]
Work out the circumference of of a circle with a radius of 6mm. Give you answer in pie
Answer:
12 pi mm
Step-by-step explanation:
formula : circumfrence = 2 pi r
so pi * 2*6 mm = 12 pi mm
Find x. Round to the nearest tenth
A: 5.0
B: 7.8
C: 3.9
D: 4.6
Answer:
D
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{6}[/tex] ( multiply both sides by 6 )
6 × cos40° = x , then
x ≈ 4.6 ( to 1 dec. place ) → D
I need help with the answer immediately!!!!!
Answer:
y= - 1/6x + 2
Step-by-step explanation:
I know you need it quick
Help I'm gonna fail
A pet store owner had her staff count the number of fish in each tank. Which interval has the fewest tanks?
Amelia needs to buy some dog food. At the nearest store, 2 bags of dog food cost $7.50. How much would Amelia spend on 5 bags of dog food?
Answer: $18.75
Step-by-step explanation: Each bag cost $3.75 individually.
A recipe for lemonade requires 10 parts of water to every 6 parts of lemon juice. How many cups of water should be added to 30 cups of lemon juice to make the lemonade? I dont understand how many "parts" of water = 1 cup
Answer:
50 cups
Step-by-step explanation:
ratio of water to juice = 10 : 6 = 5 : 3
amount of cup = (5 x 30) / 3 = 50
Find the HCF of 12 and 16
Answer:
4 Hope that helped
8. How is the graph of log (x - 2) + 1 translated from the graph of log x?
shifted right 2 units and up 1 unit
shifted right 1 unit and down 2 units
shifted left 1 unit and down 2 units
shifted left 2 units and up 1 unit