PLZ HELP!!!! Explain 72. Determine the value of r so that a line through the points with the coordinates (r, 4) and (-2,3) has
slope 1/4
a. 4.5
b. 6
c. -2
d. 2
9514 1404 393
Answer:
d. 2
Step-by-step explanation:
The point-slope form of the equation for the line can make use of the given slope and point:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -3 = 1/4(x +2) . . . . line with slope 1/4 through point (-2, 3)
Filling in the unknown point values, we have ...
4 -3 = 1/4(r +2)
4 = r + 2
2 = r
_____
Alternate solution
The way the question is worded, you seem to be expected to use the slope formula.
m = (y2 -y1)/(x2 -x1)
For the given points and slope, you have ...
1/4 = (3 -4)/(-2 -r)
-2 -r = 4(-1) . . . cross multiply
2 = r . . . . . . . . add r+4 to both sides
10. How many linear feet of cove molding are needed to trim the ceiling of a
12-foot by 16-foot family room?
Answer:
24 look it up on Google and your welcome I hope I'm right good day
3. Use the given information about the polynomial graph to write out the equation.
Degree 5, Roots of multiplicity 2 at x = 3 and x = -2 and a root of multiplicity 1 at x = 4,
y-intercept at (0,12).
Answer:
[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]
Step-by-step explanation:
The standard form for a polynomial equation in its factored form is:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where p and q are the zeros and a is the leading coefficient.
We know that the degree of the polynomial is 5.
We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).
These have a multiplicity of two, so we will square them.
We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.
Therefore, our polynomial is now:
[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]
We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:
[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]
Evaluate:
[tex]12=a(9)(4)(-4)[/tex]
Evaluate:
[tex]-144a=12[/tex]
Divide both sides by -144:
[tex]a=-1/12[/tex]
Hence, our entire polynomial is:
[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]
Solve -2(5x – 3) = 41.
Answer:
Divide both sides by the numeric factor on the left side, then solve.
Exact Form:
x=−7/2
Decimal Form:
x=−3.5
Mixed Number Form:
x=−3 1/2
Step-by-step explanation:
Answer:
- 3.5
Step-by-step explanation:
hope this helps :)
I gotchu all. Download the file and read what's inside I hope it makes you feel better if you're having a bad day :>
Given
f(x) = 6x^3 +19x²-29x +c where c is a constant
if (x-1) is a factor of f(x),
find value of c
Hence, solve the equation of f(x) =0.
Answer:
[tex]c=4\\x=1, x=\frac{-25+\sqrt{721}}{12},x=\frac{-25-\sqrt{721}}{12}[/tex]
Step-by-step explanation:
See the picture attached
4(3x + 2) = 4(2x + 3) + 4x
Answer:
x = -4
Step-by-step explanation:
4(3x + 2) = 4(2x + 3) + 4x (distribute the 4's on both sides)
12x + 8 = 8x + 12 + 4x (collect like terms)
12x + 8 = 13x + 12 (subtract 12x on both sides)
8 = x + 12 (subtract 12 on both sides)
-4 = x
Hope this helps ya!
(x-5)²+2y³(x-5)+y[tex]{6}[/tex]
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[tex]( {x - 5})^{2} + 2 \times ( x - 5 ) \times ( {y}^{3} ) + ({ {y}^{3} })^{2} = \\ [/tex]
[tex]( \: {(x - 5) + {y}^{3} } \: )^{2} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
2x+7 the 7 is a what
What do you mean exactly
Is h = 11 a solution to the inequality below? 22 over h > 11
Answer:
no because if you insert 11 as h you get the inequality 2>11 wich isnt true
Step-by-step explanation:
569,820 divide by 4
569,820 divide by 5
569,820 divide by 10
569,820 divide by 6
569,820 divide by 9
569,820 divide by 3
569,820 divide by 2
and when your done just tell me which one has no remainders (If u tell me the remainders, u get 1 bonus point and that equals........18 POINTS!!)
Answer:
569820/4=142455
569820/5=113964
569820/10=56982
569820/6=94970
569820/9=63313.33333333333333 (remainder)
569820/3=189940
569820/2=284910
Step-by-step explanation:
Please Help Asap thank you soo much god bless you
1) x ≤ 30
2) 5x + 2x ≥ 14
3) xy ≤ 4
4) y - 5 < 20
Step-by-step explanation:
please mark me as brainlest
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn’s estimate?
A. 2.13%
B. 2.18%
C. 12%
D. 46.83%
Answer:
A
okay? Answer A
44. Time to Complete a Task Two machines can complete a task in t hours, where t must satisfy the
equation t/8+t/12 = 1. How long will it take for the two machines to complete the task?
Answer:5 h 48 min
Step-by-step explanation:
t/8+t/12=1
=> 3t+2t =24
5t=24
t=24/5
t=5 and 4/5 h
That equal to 5 h and 8/10 h or 5h and 8*6 min
So the answer is 5 h 48 min
An airplane flew 2400 miles in 4 hours if the plane for the same number of miles each hour how many miles it fly in 1 hour
Answer:
600?
Step-by-step explanation:
you do 2400÷4 which would be 600 for each hour
Which of the following pairs of functions are inverses of each other?
Answer:
The answer is (B).
Step-by-step explanation:
A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = [tex]\frac{y+9}{6}[/tex]
g(x) = [tex]\frac{x+9}{6}[/tex] is inverse function of f(x) and ≠ [tex]\frac{x+2}{6}[/tex] - 3
B). y = f(x) = [tex]\frac{5x}{4}[/tex] - 3 ⇔ 4y = 5x - 12 ⇔ x = [tex]\frac{4y+12}{5}[/tex]
g(x) = [tex]\frac{4(x + 3)}{5}[/tex] is inverse of f(x)
What number is 0.001 more than 3.9?
Answer:
3.901
Step-by-step explanation:
Add 0.001 to 3.9.
Answer:
3.901
Step-by-step explanation:
The plumber added an extra $35 to her bill
Answer:
you just add 35 to her bill
Purchased bed for $119.99 bought it at $71.99 the percent difference was 40% or $48.00. How to I write an equation that relates y discount cost to x original cost.
Answer:How was the question asked I bet I could figure it out if you told me that
Step-by-step explanation:
Find the value of the variable
[tex] \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]
The above quadrilateral is a square because of the marking shown for the equilaterality of sides.
We have,
Side of the square = 13We need to find:
Variable x and y?Solution:
x is the side of the square and y is the diagonal. Hence,
[tex] \large{ \boxed{ \sf{x = 13}}}[/tex]
And for finding the diagonal which can use the Pythagoras theoram where the leg sides (p and b) are the sides of the triangle. Hence,
➝ y = √13² + 13²
➝ y = √338.
[tex] \large{ \boxed{ \sf{y = 13 \sqrt{2} }}}[/tex]
The correct option is Option (D)
☃️[tex] \large{ \purple{ \bf{FadedElla}}}[/tex]
how could we graphically visualize the relationshio between the age of a used car and the selling price if a used car
Find the next three terms of each arithmetic sequence.
4. 9, 13, 17, 21, 25, ...
6. 29, 35, 41, 47, ...
5. 4, 0, -4, -8, -12,...
Answer:
(4) 29, 33, 37
(6) 53, 59, 65
(5) -16, -20, -24
Step-by-step explanation:
When Brandon went bowling, it cost $4.95 per game, plus a one-time fee to rent the shoes. Brandon played 5
games and paid $32. Write and solve a linear equation to find the cost to rent the shoes.
If angle M is represented by x + 16 and angle G is represented by
X – 40, and angles M and G are complementary, what is the
measure of angle M?
Answer:
the measure of angle M is 73 degrees
Step-by-step explanation:
the sum of complementary angles is 90 degrees. so set up the equation as:
x+16+x-40=90
combine like terms and you get:
2x-24=90
add 24 on both sides and you get:
2x=114
divide by 2 on both sides to isolate x and you get:
x=57
since the equation for angle M is x+16, you substitute 57 for x and you get:
M=57+16
M=73
4
Which function family does f(x)=5(x-2)2 + 3 belong to?
Answer:
Quadratic
Step-by-step explanation:
The type of quadratic function in the question is in vertex form.
A gas tank holds 16 1/2 gallons of fuel. If you used 7 1/4 gallons of fuel yesterday and 3 1/2 gallons of fuel today, how many gallons of fuel are left in the tank?
Answer:
5 3/4 gallons of fuel left in the tank
Step-by-step explanation
16 1/2 - 7 1/4 = 9 3/4
9 3/4 - 3 1/2 = 5 3/4
The quadrilateral shown is rotated 90° clockwise about the origin. In which quadrant is the image of the quadrilateral located?
Answer:
Option (2). 1
Step-by-step explanation:
Coordinates of point A, B, C and D are,
A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).
Quadrilateral ABCD when rotated 90° clockwise about the origin,
Rule for the rotation of the vertices,
(x, y) → (y, -x)
Following the rule of rotation coordinates of the image points,
A(-4, 4) → A'(4, 4)
B(-2, 4) → B'(4, 2)
C(-2, 1) → C'(1, 2)
D(-4, 3) → D'(3, 4)
Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.
Option (2) is the correct option.
how can patterns help me divide multiples of 10?
Help please! Due today
Solve: |x|-7<15
Answer:
No Solution
Step-by-step explanation:
Answer:
pretty sure its
0.466666
Step-by-step explanation:
Given q(x)=3x and r(x)=x2.
What is (r∘q)(2)?
a. 36
b. 10
c. 12
d. 24
Answer:
36
Step-by-step explanation:
(r∘q)(2)=
= ((3x)^2(2)
=(3*2)^2
=6^2
=36