Hi,
a line is define by the following equation : y = ax+b
where a is the slope, and b the value for x = 0
so you have : a*3 +b = 3 for the first point
a*(-5) +b = 4 for second point
so you have a system : 3a+b =3
-5a+b = 4
so : 3a+b -(-5a) -b = 3-4
3a+5a +b-b = -1
8a = -1
a = -1/8
then a = -1/8 so , in remplacing a by it's value in one equation , b is : 3(-1/8) +b = 3
-3/8 +b = 3
b = 3 +3/8
b = 24/8 +3/8
b = 27/8
let's check : 3 (-1/8) + 27/8 = -3/8 +27/8 = 24/8 = 3
first point is correct
-5( -1/8) + 27/8 = 5/8 +27/8 = 32/8 = 4
second point is correct
line is y = -1/8X +27/8
The perimeter of a patio is 64 feet. The width of the patio is 12 feet and the length of the patio is ( ) x + 6 feet. What is the length of the patio?
5 positive integers are arranged in ascending order, as follows:
3, 5, 5, 9, x
There are 2 modes.
Find x.
A mode is a number that shows up more often than other numbers.
The number 5 would be a mode because there are two of them.
Since there are 2 modes and the numbers go from smallest to largest x would need to be 9, so there would be two 9’s
X = 9
Given the function f(x) = -5x^2 + 2x + 9 find f(1) and f(2)
Answer:
i hope it will work
Step-by-step explanation:
f(x) = -5 x^2 + 2 x + 9
f(1)=-5(1)^2 +2(1) +9 = 6
similarly
f(2)=-5(2)^2 +2(2) +9 = -7
if its help-full then hit the stars and brain-list it
thanks
A triangle has a hypotenuse of 14 inches. Angle A is equal to
72 degrees.
Find the length of the adjacent side. Round the solution to the
nearest hundredth.
Answer:
b = 4.33 in
Step-by-step explanation:
angle A = 72°
hypotenuse = 14 in
Required: Adjacent side length (b)
use the formula Cos A = adjacent / hypotenuse
cos (72) = b / 14
b = cos (75) * 14
b = 4.33 in
evaluate the expression for the given value of x.
2x-6;x=9
Answer:
12
Step-by-step explanation:
2x - 6 = ?
x = 9
You substitute x for 9: the value of x.
2(9) - 6 = ?
2 * 9 = 18
18 - 6 = 12
So your answer is 12.
Hope it helps : )
Brainliest pleaseeee
Through (5,2) slope=1
Answer:
y = x - 3
Step-by-step explanation:
Equation of line in slope point form is given as:
y - y_1 = m(x - x_1)
[tex]y - y_1 = m(x - x_1) \\ y - 2 = 1(x - 5) \\ y - 2 = x - 5 \\ y = x - 5 + 2 \\ y = x - 3 \\ [/tex]
Help ASAP....anyone please
Answer:
a(n)= 4*n+1
a(n+1)=5+4*n
Step-by-step explanation:
The sequence 5, 9, 13, 17 is the ariphmetic progression where a(1)=5 is the first member of the progression and the diference is d=9-5=4 (the distance between the neighboring members)
For ariphmetic progression is known that n- term is equal to
a(n)=a(1)+d*(n-1)
So for our case
a(n)=5+4(n-1)=5+4n-4=4n+1
a(n+1)= 5+4(n+1-1)= 5+4n
Please help me......
Answer:
I got 50.7%, rounded up to be 51
Step-by-step explanation:
Add up all of Sohan's points and divide it by the total number of points and move the decimal over 2 places
i need the answer to 6x - 9x+ 7= -1
Answer:
x = -8/3
Step-by-step explanation:
So first let's simplify the expression. Grouping together like terms gives:
-3x + 7 = -1
Subtracting 7 from both sides gives
-3x = -8
Meaning x = -8/3
Answer:
x = 8/3 or 2.67
Step-by-step explanation:
6x - 9x + 7 = -1
6x - 9x = -3x
-3x + 7 = -1
-7 -7
-3x = -8
/-3 /-3
x = 8/3 or 2.67
which two continents are entirely located in the western hemisphere
Answer:
south america and north america
Step-by-step explanation:
Araceli recorded the height (in centimeters) of a pea plant over a 10-day
period for a science experiment. Which equation is the best model of the
data?
30 pints please help
Answer:B. y=0.5x+0.3
Step-by-step explanation:a. p. e. x.
The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation thus option (B) is correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given points,
Let's take two-point (1,1) and (2,1.5)
The slope associated with the above points will be as,
(1.5 - 1)/(2 - 1) = 0.5
Thus, the line will be y = 0.5x + 0.3
Hence "The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation".
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Please look at the image and help me! It’s geometry.
Answer:
1
Step-by-step explanation:
12x+x+4=17
13x=17-4
13x=13
x=1
NEED HELP ASAP
PLZZZZS????
Answer: m∠F = 31°
Solution: The triangle's rotation is irrelevant to the measure of its angles. In other words, angles D, E, and F will all stay the same if the triangle is turned ("rotated"). That being said, we know by definition that the interior angles of a triangle add up to 180°. We are given two of the angles, and we are asked to find the third:
m∠D + m∠E + m∠F = 180°48° + 101° + m∠F = 180°149° + m∠F = 180°m∠F = 31°In which of these figures appear to contain a set of lines that is neither parallel nor perpendicular?
Answer:
D
Step-by-step explanation:
The lines in A meet at a right angle (90°) so they are perpendicular.
The lines in B meet at a right angle (90°) so they are perpendicular.
The lines in C do not meet and appear to be parallel.
The lines in D meet at an angle that does not appear to be 90°, so they are neither perpendicular nor parallel.
Write an equation for the nth term of the arithmetic sequence. Then find a50.
1/3 , 1/2 , 2/3 , 5/6
Step-by-step explanation:
Since the sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 1/3
d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6
Substitute the values into the above formula
That's
[tex]A(n) = \frac{1}{3} + (n - 1) \frac{1}{6} \\ = \frac{1}{ 3} - \frac{1}{6} + \frac{1}{6} n [/tex]So the nth term of the sequence is
[tex]A(n) = \frac{1}{6} + \frac{1}{6}n[/tex]For a50 since we are finding the 50th term
n = 50
So we have
[tex]A(50) = \frac{1}{6} + \frac{1}{6} (50) \\ = \frac{1}{6} + \frac{25}{3} [/tex]We have the final answer as
[tex]A(50) = \frac{17}{2} [/tex]Hope this helps you
the radius of a sphere is 7 meters what is the circle's area
★ Given :
[tex]\begin{lgathered}\bullet\:\:\textsf{Radius of circle = \textbf{7 meter}}\end{lgathered}[/tex]
[tex]\rule{130}1[/tex]
★ Digram :
[tex]\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle*{1}}\put(29,26){\sf\large{7 m}}\end{picture}[/tex]
[tex]\rule{130}1[/tex]
★ Solution :
☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}[/tex]
[tex]:\implies\sf Area\:of\:circle = \pi r^2 \\\\\\:\implies\sf Area\:of\:circle = \dfrac{22}{\cancel{7}} \times \cancel{7} \times 7\\\\\\:\implies\sf Area\:of\:circle = 22 \times 7\\\\\\:\implies\sf Area\:of\:circle = 154 m^{2}[/tex]
⠀
[tex]\therefore\:\underline{\textsf{Area of circle is \textbf{154}} \:\sf{m^2}}.[/tex]
[tex]\rule{170}{2}[/tex]
What is the abscissa of origin?
Answer:
abscissa of origin is 0.
Step-by-step explanation:
The abscissa of a point is the signed measure of its projection on the primary axis, whose absolute value is the distance between the projection and the origin of the axis, and whose sign is given by the location on the projection relative to the origin (before negative; after: positive).
6 bags cost $16.50 How much is 3 bags
Answer:
3 bags cost $8.25
Step-by-step explanation:
Proportions:
6 bags ⇔ $16.50
3 bags ⇔ $B
B = 16.5*3/6
B = $8.25
Answer:
Step-by-step explanation:
8.25
Whats the solution to this equation?
2x + 3(x - 10) = 45
A. x = 7
B. x = 3
C. x = 15
D. x = 11
Answer:
C
Step-by-step explanation:
2x + 3(x - 10) = 45
2x + 3x - 30 = 45
5x - 30 = 45
5x = 75
x = 15
simplifiy the expression -|-5.(-7)|
Answer:
-5|-7|
Step-by-step explanation:
[tex]-\left|-5\left(-7\right)\right|\\\\\mathbf{missing\:stepId}=\\\\Refine\:Abs\:Checked\:3Eq,\:\\\\|ax|=a|x|,\:a\ge 0,\:-\left|-7\right|\\=-5\left|-7\right|[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{-35}}[/tex]
Step-by-step explanation:
[tex]\Rightarrow -|-5* (-7)|[/tex]
Multiplying the terms in the absolute value.
[tex]\Rightarrow -|35|[/tex]
The absolute value of a number is the distance between that number and zero.
The absolute value of 35 is 35.
[tex]\Rightarrow -35[/tex]
I really don’t get this question can someone help me
======================================================
Explanation:
Points are of the form (x,y), where y = f(x) since y and f(x) are outputs.
When we vertically stretch by a factor of 3, we are making the function curve 3 times more stretched out along the vertical y axis. So a general point (x,y) becomes (x,3y). Whatever the y coordinate is, we multiply by 3 to get its stretched out counterpart.
Eg: (0,-2) on f(x) moves to (0,-6) which is on g(x)
-------------
Since y = f(x), and we're multiplying y by 3, we can say
f(x) = |x-3| - 2
3*f(x) = 3*( |x-3| - 2 )
3*f(x) = 3|x-3| + 3(-2)
3*f(x) = 3|x-3| - 6
g(x) = 3|x-3| - 6
For this item, a non-integer answer should be entered as a fraction using / as the fraction bar. Simplify the numerical expression. 2/3 divided by 2^4 + (3/4 + 1/6) divided by 1/3 =
Answer:
67/24
Step-by-step explanation:
Simplify the numerical expression.
2/3 divided by 2^4 + (3/4 + 1/6) divided by 1/3
2/3 ÷ 2⁴ +(3/4 + 1/6) ÷ 1/3
(2/3 ÷ 2⁴ ) +[(3/4 + 1/6) ÷ 3]
= (2/3 ÷ 16) + [9 + 2/12) ÷ 1/3]
=( 2/3 × 1/16 ) + [ 11/12 × 3]
= 1/24 + 11/4
= 67/24
If a silver alloy that costs $6.50 an ounce
is going to be mixed with 30 ounces of a
silver alloy that costs $9 an ounce to
make a mixture that costs $8 an ounce,
how many ounces of the $6.50 an ounce
alloy must be used?
Answer:
20 is the correct answer
Step-by-step explanation:
you're welcome :)
can someone help on 3? i got 455
5(p)13
1x+30
1 • x = 1 • 5 = 5
5 + 30 = 35
35(13) = 455
Answer:
Hey there!
p(x)=x+30
p(13)=13+30
p(13)=43
5(43)=215
Let me know if this helps :)
The volume of a cube is 27 cubic meters. What is the length of one edge of the
cube?
Answer:
3 meters
Step-by-step explanation:
Step 1: State what is known
Volume of cube is 27 cubic meters
Important formula: Volume of cube = [tex]l^{3}[/tex]
Step 2: Input value into formula and solve for "l"
[tex]27=t^{3} \\\sqrt[3]27}=\sqrt[3]{t^{3} } \\3 = t[/tex]
Therefore the length of 1 edge of the cube is meters
Length of each edge of cube is 3 metres.
What is the volume of cube?
The volume of a cube defines the number of cubic units, occupied by the cube completely. The volume of cube is found by multiplying the value of the edge with itself three times that is a³.
It is given that volume of cube is 27 cubic metres.
a³ = 27
a = ∛27
a = 3
Hence, length of each side of cube is 3 metres.
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Combine the like terms to create an equivalent expression -3x-6+(-1)
The equivalent expression after combining the like terms is -3x - 7.
We have,
Expression:
-3x - 6 + (-1)
-6 and -1 are like terms.
To combine the like terms simply add them together:
-3x - 6 + (-1)
-3x - 7
-3x is the only term so it can be simplified further.
This is the simplest form of the expression.
Therefore,
The equivalent expression after combining the like terms is -3x - 7.
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if the volume of a cube is 27 metre cube find one of side
Approximate the value of 119√
Answer:
√119 = 10.908712114636
Subm
What is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4, -6)?
Answer:
y + 6 = - 2(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y + b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 2 and (a, b) = (4, - 6) , thus
y - (- 6) = - 2(x - 4) , that is
y + 6 = - 2(x - 4)
Find the equation that best represents the following word problem: In a certain freshman class, the number of girls is 83 less than twice the number of boys (b). The total number of students in that freshman class is 259. How many boys and girls are in that class?
Answer:
[tex]g = 2b-83[/tex]
[tex]b+g=259[/tex]
Number of boys = 114
Number of girls = 145
Step-by-step explanation:
Let the number of boys in the class = [tex]b[/tex]
Now, as per question statement,
Number of girls is 83 less than twice the number of boys.
Representing in the form of equation.
Let number of girls = [tex]g[/tex]
[tex]g = 2b-83 ....... (1)[/tex]
Also, given that total number of students in the class = 259
i.e. [tex]b+g=259[/tex]
Putting value of [tex]g[/tex] using equation (1):
[tex]\Rightarrow b+2b-83=259\\\Rightarrow 3b-83=259\\\Rightarrow 3b=259+83\\\Rightarrow 3b=342\\\Rightarrow \bold{b=114}[/tex]
So, number of boys, b = 114
Putting value of [tex]b[/tex] in equation (1) to find the value of [tex]g[/tex].
[tex]\Rightarrow g = 2(114)-83 \\\Rightarrow g = 228-83\\\Rightarrow \bold{g = 145}[/tex]
So, number of girls, g = 145.
Hence, the answer is:
Number of boys = 114
Number of girls = 145