Answer:
y = 12x + 51
Step-by-step explanation:
y = mx + b, where m is the slope and b is the y-intercept
The equation of line with a slop of m = 12
y = 12x + b
Since the point (-4,3) is on the line, it will satisfy the equation 3 = 12 (-4) +b
b = 3 - 12(-4)
b = 51
y = 12x + 51
Please help. Will give brainliest for a right answer. Find the exact value. Tan 7pi/12=sin7pi/6/2 /cos7pi/6/2
Answer:
2+3
2+3
Step-by-step explanation:
What is the determinant of the image shown?
–74
–51
51
69
The determinant of the matrix given in the image is -61
Determinant of matrixA = -2 2 -5
4 -1. -2
1 3 -5
A = -2{(-5× -1) - (3 × -2)} + -2{(-5×4) - (-2×1)} + -5{(4×3) - (-1×2)}
= -2{(5-(-6)} + -2{(-20 -(-2)} + -5{(12-(-2)}
= -2(5 + 6) + -2(-20+2) + -5(12+2)
= -2(11) + -2(-18) + -5(14)
= -22 + 36 -75
= -61
Learn more about determinant of matrix:
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Answer:
b)-51
Step-by-step explanation:
just took test.
Find the third term in the expansion of (a+b)^9 in the simplest form
Answer:
[tex]The\ third\ term\ is\ \boxed{36a^7b^2}\\[/tex]
Step-by-step explanation:
[tex]\left(\begin{array}{c}9\\ 1\end{array}\right)=\dfrac{9}{1} =9\\\\\left(\begin{array}{c}9\\ 2\end{array}\right)=\dfrac{9*8}{2*1} =36\\\\\\(a+b)^9=a^9+\left(\begin{array}{c}9\\ 1\end{array}\right)a^8b+\left(\begin{array}{c}9\\ 2\end{array}\right)a^7b^2+....+b^9\\\\\\The\ third\ term\ is\ \boxed{36a^7b^2}\\[/tex]
The given expression is:
[tex](a+b)^9[/tex]According to the question,
→ [tex]\binom{9}{1} = \frac{9}{1}[/tex]
[tex]= 9[/tex]
→ [tex]\binom{9}{2} = \frac{9\times 8}{2\times 1}[/tex]
[tex]= \frac{72}{2}[/tex]
[tex]= 36[/tex]
Now,
→ [tex](a+b)^9 = a^9+\binom{9}{1}a^8b+\binom{9}{2}a^7b^2+...+b^9[/tex]
hence,
The third term is "[tex]36a^7b^2[/tex]".
Thus the approach above is appropriate.
Learn more about expansion here:
https://brainly.com/question/5193745
If g(x) = 3x+1, evaluate g(-2).
•5
•0-5
•2
Answer:
The choose ( – 5 )
Step-by-step explanation:
g(x)=3x+1
g(-2)=3(-2)+1 = - 6 +1 = – 5
I hope I helped you^_^
The formula for the surface area of a cylinder with radius r and height h is at times twice the product of the
radius and height plus twice the product of t and the square of the radius. Translate this verbal expression into
an algebraic expression.
Answer:
[tex]2\pi \: rh + 2\pi {r}^{2} = 2(t \times {r}^{2} )[/tex]
Step-by-step explanation:
The TSA of the cylinder
[tex]2\pi \: rh + 2\pi {r}^{2} [/tex]
In Mathematics, 'is' is =
Twice means 2( )
Product means ×
So we have
[tex]2\pi \: rh + 2\pi {r}^{2} = 2(t \times {r}^{2} )[/tex]
as the answer.
What was the first inverse operation to find the answer of -4(3x -5) < 2(3x+ 4)
Answer:
First operation is Parathenses or Grouping. In this case, you need to use distrubtion to go past this operation
Step-by-step explanation:
helppppppppppppppppppppppppppp
Answer:
14 cm
Step-by-step explanation:
One side of the composite has a length of 6 and the other side has a length of 8.
If we add these two numbers, we'll get the missing side length of the rectangle
6 + 8 = 14 cm
Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.) g(y) = 3 − 2y
(a) g(0) =
(b) g(3over2)=
(c) g(s + 1) =
Answer:
UNDEFINED
Step-by-step explanation:
Can't further simplify the function
Find the volume of the following solid. Using cylindrical coordinates
z = 4 - 4(x^2 + y^2)
z = (x^2 + y^2)^2 -1
In cylindrical coordinates, the equations of the surfaces become
[tex]z = 4 - 4r^2 \\\\ z = (r^2)^2 - 1 = r^4 - 1[/tex]
These surfaces intersect on the cylinder of radius 1 with cross sections parallel to the x,y-plane:
[tex]4 - 4r^2 = r^4 - 1 \\\\ \implies r^4 + 4r^2 - 5 = (r-1)(r+1)(r^2+5) = 0 \\\\ \implies r=1[/tex]
Then in cylindrical coordinates, the volume of the space bounded by these surfaces is
[tex]\displaystyle \int_0^{2\pi}\int_0^1\int_{r^4-1}^{4-4r^2}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta = 2\pi \int_0^1 \int_{r^4 - 1}^{4-4r^2}r\,\mathrm dz\,\mathrm dr \\\\ = \pi \int_0^1 (4-4r^2)^2 - (r^4-1)^2 \,\mathrm dr \\\\ = \pi \int_0^1 (15-32r^2+18r^4-r^8)\,\mathrm dr = \boxed{\frac{352\pi}{45}}[/tex]
In October the amount of snowfall was 1/2feet in January the amount of snowfall was 5 3/8 feet what was the amount of snowfall in the two months combined
Select two ratios that are equivalent to 27 : 9.
Answer:
the ratio are missing
Step-by-step explanation:
27 : 9 can be written as
3:1
54 :18
Answers:
3 : 1
54 : 16
Get brainlest if correct
Answer:
2 is the slope
Step-by-step explanation:
rise over run
up 2, over 1
up = rise
run = 1
2/1=2
Hope it helps!
Answer:
2
Step-by-step explanation:
→ Take 2 coordinates
( 20 , 20 ) and ( 30 , 40 )
→ Substitute into the gradient formula which ( x₂ - x₁ ) ÷ ( y₂ - y₁ )
[tex]\frac{40-20}{30-20}[/tex]
→ Simplify
[tex]\frac{20}{10} =2[/tex]
3x2 + 5x - 7(x2 + 4)
Answer:
-4x^2+5x-28
Step-by-step explanation:
Expand -7(x^2 +4) = 3x^2+5x-7x^2-28
Simplify 3x^2+5x-7x^2-28 = -4x^2+5x-28
Answer: -4x² + 5x - 28
Step-by-step explanation:
Given expression
3x² + 5x - 7 (x² + 4)
Expand parentheses and apply the distributive property
=3x² + 5x - 7x² - 28
Combine like terms
=(3x² - 7x²) + 5x - 28
=[tex]\boxed{-4x^2+5x-28}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Factor by using the perfect square trinomial formula
x^2+4x+4
A. x^2 +4x+4=__
B. The poly. is prime
The relationship between adult dog weight x in pounds and the daily recommended amount of dog food y in cups is proportional.
Write an equation for the relationship. How much dog food is recommended for a 25- pound adult dog?
please help me
no links or files
thank you !
Using proportional relations, it is found that:
The equation for the relationship is [tex]\frac{x}{60}[/tex].[tex]\frac{5}{12}[/tex] cups is recommended for a 25- pound adult dog.-------------------------------
The amount of cups of food y is proportional to the weight of a dog, which is of x pounds, and thus, the following equation models the situation:
[tex]y = cx[/tex]
In which c is the constant of proportionality.
-------------------------------
[tex]\frac{1}{6}[/tex] of a cup is needed to feed a dog of 10 lbs.This means that when [tex]x = 10, y = \frac{1}{6}[/tex]This is used to find c.[tex]y = cx[/tex]
[tex]\frac{1}{6} = 10c[/tex]
[tex]60c = 1[/tex]
[tex]c = \frac{1}{60}[/tex]
Thus, the equation for the relationship is:
[tex]y = \frac{x}{60}[/tex]
-------------------------------
The amount of cups needed for a 25-pound dog is y when x = 25, thus:
[tex]y = \frac{25}{60} = \frac{5}{12}[/tex]
[tex]\frac{5}{12}[/tex] cups is recommended for a 25- pound adult dog.
A similar problem is given at https://brainly.com/question/22846068
plz someone help I will mark brainlest diameter is 8.8 yd
Answer:
60.79 square yards.
Step-by-step explanation:
d = 2r; d = 8.8.
8.8 = 2r
r = 8.8 / 2
r = 4.4 yards.
Since we now have the radius, we can find the area of the circle, which can be found using πr^2, or 3.14 * r^2.
4.4^2 * 3.14 = 19.36 * 3.14 = 60.7904.
Since the question tells us to round to the nearest hundredth, our final answer will be 60.79 square yards.
Hope this helps!
which property is illustrated by the following ?
if a = b + 7 and b + 7 = 9, then a = 9
Step-by-step explanation:
Associative property
We know
a + (b + c) = (a + b) + c
a = b + 7
b + 7 = 9
Rearrange Eq. 2
9 = b + 7
a = b + 7
Hence,
Value of a is 9
Triangle A’ B’ C’ is the image of triangle A B C under a rotation about the origin, (0,0)
Answer:
The triangle A B C will be the image of triangle of A B C in origin (0,0)
what does answer on her sceen mean? 9e+10
Answer:
19e
Step-by-step explanation:
Erin is buying produce at a store. She buys c cucumbers at $0.69 each and a apples at $0.89 each. What does the expression 0.69c + 0.89a represent?
The expression represents the
(select)
.
Answer:
It represents the total amount that Erin is going to spend at the store.
Step-by-step explanation:
Find the measure of the missing angle.
A=
(answer is in degrees)
Answer:
Right angles is 90° so 90°+30°=120°.A straight line is 180°. So you do 180°-120° which is 60. So A=60°
If x = 2 , y = 3 and z = 4 , find the value of y2 Z2 -x2
Answer:
y²z²-x²
3*3*4*4-2*2
3*16-4
48-4
44
Step-by-step explanation:
* means multiply
Answer:
[tex]here \: we \: want \: to \: find \: {x}^{2} {y}^{2} {z}^{2} \\ x = 2 \\ y = 3 \\ z = 4 \\ then \: {2}^{2} \times {3}^{2} \times {4}^{2} \\ = 4 \times 9 \times 16 \\ = 36 \times 16 \\ = 576 \\ thank \: you[/tex]
When multiplying 16 by a number greater than 1 which of the following is always true? When multiplying 16 by a number greater than 1 which of the following is always true?
A
The product will be less than 16.
B
The product will equal the first factor.
C
The product will be greater than 16.
D
The product will be between 1 and 16.
Answer:
c
Step-by-step explanation:
16* a number greater than one will increase the number to a number higher than 16. the product is the result of multiplication and multiplication increases your value.
Answer:
C
Step-by-step explanation:
for example if you do 16n (n=2)
the answer would be 32
Or another example is 16y (y=12)
the answer is 192
What is the equation of the line that passes through the point (6,-5) and has a
slope of -3/2?
Answer:
y = -3/2x + 4
Step-by-step explanation:
y = -3/2x + b
-5 = -3/2(6) + b
-5 = -9 + b
4 = b
8 more than the product of 7 and a number t
Write an algebraic expression
Answer:
7t + 8
Step-by-step explanation:
Please help please hurry
Answer:
50 i think
Step-by-step explanation:
A baby's head is approximately one fourth of its total body length. If the baby's body measures 19 inches, what does the baby's head measure?
Answer:
~4.75 inches or 4 3/4 inches
Please simplify 6p-2q+4r-2p+3s+5q
Answer:
[tex]6p - 2q + 4r - 2p + 3s + 5q[/tex]
group the like terms together:
[tex] = (6p - 2p) + ( - 2q + 5q) + 4r + 3s[/tex]
simplify:
[tex] = { \boxed{ \boxed{4p + 3q + 4r + 3s}}}[/tex]
People who have a vitamin D deficiency also tend to have high blood pressure.
1. Identify the correct interpretation of the statement.
a. Vitamin D deficiency and high blood pressure have a cause-effect relationship in both directions.
b. Taking vitamin D will decrease your likelihood of developing high blood pressure.
c. Vitamin D deficiency causes high blood pressure.
d. Among people who have a vitamin D deficiency, a larger proportion have high blood pressure than not.
2. If there were something genetic which made people simultaneously more susceptible to both vitamin D deficiency an' high blood pressure, that would be an instance of : _________
a. the placebo effect.
b. common response.
c. confounding.
d. direct causation.
point k is on line segment jl given kl = 2x-2 jk = 5x+2 and jl = 21 determine the numerical length of jk
(5x+2) + (2x-2) = 21
solve it :)
