Answer:
Solution given:
equation of line j is:
y=2x+8
comparing above equation with y=mx+c
we get
m=2
let slope of another line k be M
since lines are perpendicular
their product is -1
so
m *M=-1
2M=-1
M=-½
since it passes from (6,-6)
we have
(y-y1)=M(x-x1)
(y+6)=-½(x-6)
2y+12=-x+6
x+2y+12-6=0
x+2y+6=0 is a required equation of line k.
Answer:
[tex] \displaystyle y = - \frac{1}{2} x - 3[/tex]
Step-by-step explanation:
we are given that,
[tex] \displaystyle E _{ j}: y = 2x + 8[/tex]
and it's perpendicular to [tex]E_k[/tex]
since [tex]E_k[/tex] is perpendicular to [tex]E_j[/tex] the slope of the equation of k has to be -½
because we know that
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{m}[/tex]
we are also given a point where the perpendicular line passes as we got the slope and a point we can consider using point-slope form of linear equation to figure out the perpendicular line
remember the point slope form
[tex] \displaystyle y - y_{1} = m(x - x_{1})[/tex]
we got that, y1=-6,x1=6 and m=-½ thus,
substitute:
[tex] \displaystyle y - ( - 6)= - \frac{1}{2} (x - 6)[/tex]
remove parentheses:
[tex] \displaystyle y + 6= - \frac{1}{2} (x - 6)[/tex]
distribute:
[tex] \displaystyle y + 6= - \frac{1}{2} x + 3[/tex]
cancel 6 from both sides:
[tex] \displaystyle y = - \frac{1}{2} x - 3[/tex]
hence, the equation of line k is y=-½x-3
2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24
PLEASE HELP ME mhanifa
Answer:
Step-by-step explanation:
10). m(arc AB) = m(arc BC) = m(arc CA) [given in the picture]
m(arc AB) = [tex]\frac{360^0}{3}[/tex]
= 120°
Therefore, m(arc ACB) = m(arc AC) + m(arc BC)
= 120° + 120°
= 240°
11). m(arc CD) = 127° [Given]
m(arc AB) = 51° [Given]
m(arc AC) = m(arc BD) [Given]
m(arc CD) + m(arc BD) + m(arc AB) + m(arc AC) = 360°
127° + 2[m(arc BD)] + 51° = 360°
178° + 2[m(arc BD)] = 360°
2[m(arc BD)] = 360° - 178°
m(arc BD) = 91°
Since, m(arc CDB) = m(arc CD) + m(arc BD)
Therefore, m(arc CDB) = 127°+ 91°
= 218°
12). m(arc EH) + m(arc ED) + m(arc DH) = 360°
180° + 53° + m(arc DH) =360°
m(arc DH) = 360° - 233°
m(arc DH) = 127°
solve each inequality and show work.
1) 4x - 2 > 2x + 8
2) -3x - 6 > 4x - 20
3) 4(x + 1) < 3x - 2
4) 2x + 3 + x < -2x + 1 + 12
5) 2(x - 1) > 4x + 4 - 5x
6) 2 + 4x -7 < 8x + 2 - 2x
Answer: Use the app photo math, you just take a picture and it gives you the answer and shows you the steps:)
1) x> 5
2) x< 2
3) x<-6
4) x< 2
5) x> 2
6) x> - 7/2
Step-by-step explanation:
See the images below for the work:) The images will be in order with the number the first problem will be the answer to the first.
Answer:
[tex]\sf 1)\:4x - 2 > 2x + 8[/tex]
Add 2 from both sides:
[tex]\sf 4x-2+2>2x+8+2[/tex]
[tex]\sf 4x>2x+10[/tex]
Subtract 2x from both sides:
[tex]\sf 4x-2x>2x+10-2x[/tex]
[tex]\sf 2x>10[/tex]
Divide both sides by 2:
[tex]\sf \cfrac{2x}{2}>\cfrac{10}{2}[/tex]
[tex]\boxed{\sf x>5}[/tex]
_______________________________
[tex]\sf 2)\: -3x - 6 > 4x - 20[/tex]
Add 6 from both sides:
[tex]\sf -3x-6+6>4x-20+6[/tex]
[tex]\sf -3x>4x-14[/tex]
Subtract 4x from both sides:
[tex]\sf -3x-4x>4x-14-4x[/tex]
[tex]\sf -7x>-14[/tex]
Multiply both sides by -1:
[tex]\sf\left(-7x\right)\left(-1\right)<\left(-14\right)\left(-1\right)[/tex]
[tex]\sf 7x<14[/tex]
Divide both sides by 7:
[tex]\sf \cfrac{7x}{7}<\cfrac{14}{7}[/tex]
[tex]\boxed{\sf x<2}[/tex]
_______________________________
[tex]\sf 3)\: 4(x + 1) < 3x - 2[/tex]
Apply distributive property:
[tex]\sf 4x+4<3x-2[/tex]
Subtract 4 from both sides:
[tex]\sf 4x+4-4<3x-2-4[/tex]
[tex]\sf 4x<3x-6[/tex]
Subtract 3x from both sides:
[tex]\sf 4x-3x<3x-6-3x[/tex]
[tex]\boxed{\sf x<-6}[/tex]
_______________________________
[tex]\sf 4)\: 2x + 3 + x < -2x + 1 + 12[/tex]
Combine like terms:
[tex]\sf (2x+x)= 3x[/tex]
[tex]\sf( 1+12)=13[/tex]
[tex]\sf 3x+3<-2x+13[/tex]
Subtract 3 from both sides:
[tex]\sf 3x+3-3<-2x+13-3[/tex]
[tex]\sf 3x<-2x+10[/tex]
Add 2x from both sides:
[tex]\sf 3x+2x<-2x+10+2x[/tex]
[tex]\sf 5x<10[/tex]
Divide both sides by 5:
[tex]\sf \cfrac{5x}{5}<\cfrac{10}{5}[/tex]
[tex]\boxed{\sf x<2}[/tex]
________________________________
[tex]\sf 5)\: 2(x - 1) > 4x + 4 - 5x[/tex]
Combine like terms:
[tex]\sf (4x-5x)=-x[/tex]
[tex]\sf 2\left(x-1\right)>-x+4[/tex]
Apply distributive property:
[tex]\sf 2x-2>-x+4[/tex]
Add 2 from both sides:
[tex]\sf 2x-2+2>-x+4+2[/tex]
[tex]\sf 2x>-x+6[/tex]
Add x from both sides:
[tex]\sf 2x+x>-x+6+x[/tex]
[tex]\sf 3x>6[/tex]
Divide both sides by 3:
[tex]\sf \cfrac{3x}{3}>\cfrac{6}{3}[/tex]
[tex]\boxed{\sf x>2}[/tex]
_______________________________
[tex]\sf 6)\: 2 + 4x -7 < 8x + 2 - 2x[/tex]
Subtract 2 from both sides:
[tex]\sf 2+4x-7-2<8x+2-2x-2[/tex]
[tex]\sf 4x-7<8x-2x[/tex]
Combine like terms:
[tex]\sf (8x-2x)=6x[/tex]
[tex]\sf 4x-7<6x[/tex]
Add 7 from both sides:
[tex]\sf 4x-7+7<6x+7[/tex]
[tex]\sf 4x<6x+7[/tex]
Subtract 6x from both sides:
[tex]\sf 4x-6x<6x+7-6x[/tex]
[tex]\sf -2x<7[/tex]
Multiply both sides by -1:
[tex]\sf \left(-2x\right)\left(-1\right)>7\left(-1\right)[/tex]
[tex]\sf 2x>-7[/tex]
Divide both sides by 2:
[tex]\sf \cfrac{2x}{2}>\cfrac{-7}{2}[/tex]
[tex]\boxed{\sf x>-\frac{7}{2}}[/tex]
_______________________________________
Drag each tile to the correct box.
Tickets for all of the described charity raffles cost $2 per ticket. Arrange the raffles in ascending order of their expected values to the player,
The player picks a single letter from A to J
and
a single digit from 0 to 9. If both the letter
and
the digit match the letter and the digit
picked
on that day, the player wins $150.
Answer: 4,2,3,1,5,6
Step-by-step explanation:
Plato
Simplify.
(-x²+2x-3)+(7x²+6x+5)
Answer:
6x² + 8x + 2
Step-by-step explanation:
(-x² + 2x - 3) + (7x² + 6x + 5 ) = ?
-x² + 2x - 3 + 7x² + 6x + 5 = ?
-x² + 7x² + 2x + 6x - 3 + 5 = ?
? = 6x² + 8x +2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Point A is located at (1,10) and point B is located at (20,18). What point partitions the directed line segment AB into a 2 : 5 ratio?
Answer:
c. (6 3/7, 12 2/7)
Step-by-step explanation:
x= 38/7 + 1 = 5 3/7 +1 = 6 3/7
y= 16/7 + 10 = 2 2/7 + 10= 12 2/7
Help!! A. 2,2 B. 4,1 C. 1,-1 D. -1,0
PLEASE HELP ME WITH THIS QUESRTION I KEEP GETTING THIS WRONG
angle t = ___?
Answer:
[tex]141^{\circ}[/tex]
Step-by-step explanation:
The quadrilateral in the image is a cyclic quadrilateral, because it is circumscribed by a circle. In all cyclic quadrilaterals, each pair of opposite sides are supplementary (add up to 180 degrees). Therefore, we have the following equation:
[tex]m\angle T+39=180,\\m\angle T=\boxed{141^{\circ}}[/tex]
4. Find an equation of the line that is tangent to the graph of 4x + 2xy^2 +44 = y^3 at the point (-3,2).
i need this asap.
Given:
The equation is:
[tex]4x+2xy^2+44=y^3[/tex]
To find:
The equation of the tangent on the given equation at point (-3,2).
Solution:
We have,
[tex]4x+2xy^2+44=y^3[/tex]
Differentiate with respect to x.
[tex]4(1)+2[x(2yy')+y^2(1)]+0=3y^2y'[/tex]
[tex]4+4xyy'+2y^2=3y^2y'[/tex]
[tex]4+2y^2=3y^2y'-4xyy'[/tex]
[tex]4+2y^2=(3y^2-4xy)y'[/tex]
Isolate y'.
[tex]\dfrac{4+2y^2}{3y^2-4xy}=y'[/tex]
Now, we need to find the value of the derivative at point (-3,2).
[tex]y'_{(-3,2)}=\dfrac{4+2(2)^2}{3(2)^2-4(-3)(2)}[/tex]
[tex]y'_{(-3,2)}=\dfrac{4+8}{12+24}[/tex]
[tex]y'_{(-3,2)}=\dfrac{12}{36}[/tex]
[tex]y'_{(-3,2)}=\dfrac{1}{3}[/tex]
It means the slope of the tangent line is [tex]\dfrac{1}{3}[/tex].
The equation of tangent line that passes through the point (-3,2) with slope [tex]\dfrac{1}{3}[/tex] is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-2=\dfrac{1}{3}(x-(-3))[/tex]
[tex]y-2=\dfrac{1}{3}x+1[/tex]
[tex]y=\dfrac{1}{3}x+1+2[/tex]
[tex]y=\dfrac{1}{3}x+3[/tex]
Therefore, the equation of tangent line is [tex]y=\dfrac{1}{3}x+3[/tex].
Two functions, A and B, are described as follows: Function A y = 8x + 3 Function B The rate of change is 1 and the y-intercepted is 4. How much more is the rate of change of Function A than the slope of Function B?
Answer:
7
Step-by-step explanation:
Expressing Both equations in the slope intercept format : y = mx + c
Function A :
y = 8x + 3
Where, slope = 8 ; intercept = 3
Function B:
y = x - 4
Note ;
Rate of change = slope
Rate of change or slope of function A = 8
Slope of function B = 1
Difference = 8 - 1 = 7
Is it possible to find two data sets A and B such that A has a greater median and mode,
while B has a greater average and range? If you think the answer is yes, provide an example. If you think the answer is no, explain why not.
Answer:
54
Step-by-step explanation:
You add 5+19 and divide my 2
PLS HELPP GUYS !!!! in a hurry !!!!!!!
Answer:
A because it uses all of domains
Step-by-step explanation:
Which expression is equivalent to 2(3 - x) - 12 + 4x?
2x - 6
3х - 6
3x-7
2x - 7
Answer:
2x - 6
Step-by-step explanation:
2(3 - x) - 12 + 4x =
6 - 2x - 12 + 4x =
-6 + 2x =
2x - 6
I will give you brainlest and a kiss please help
Find The Surface Area Of The Prism!
Answer:
288
Step-by-step explanation:
the formula is 2(lw+wh+hl)
length - 8
width - 8
height 5
substitute the values and you get
2(64+40+40)
2(144)
= 288
Answer:
320
Step-by-step explanation:
Wesley and Brian have a total of 87 baseball cards. Wesley has 30 less than twice as many cards as Brian. How many baseball cards do they each own?
Answer:
wow this is kinda hard but it think it is brian has 19 and wesley has 68
Step-by-step explanation:
yeah hope this helps <3
Simplify the expression
How many seamstresses would be needed to sew thirty-six seams in two hours?
Answer:
Six.
Step-by-step explanation :
Each seamstress can sew one seam in twenty minutes, or 3 in an hour, or 6 in two hours. 150
make brainliest pls
Answer:
six each seamstresses can sew one seam in tewenty min
Find x and round it to the nearest tenth is necessary, help please and thank you so much
Answer:
111
Step-by-step explanation:
360 - 65 - 106 - 78 = 111
What is the value of expression of x=5
What is the coefficient of 6x-3
Answer:
27
Step-by-step explanation
6x - 3
6(5) - 3 || replace the x with its value
30 - 3 || multiply (also known as simplify)
27 || subtract 3 from 30
find the area of ABCD
trapezoid ABCD ~ trapezoid EFGH
trapezoid ABCD: 20cm
trapezoid EFGH: 5cm
area of EFGH = 40 sq cm
Answer:
640 cm²
Step-by-step explanation:
The ratio of the area of 2 similar polygons = the ratio of the square of their corresponding lengths
Thus:
Area of Trapezoid ABCD to Area of Trapezoid EFGH = AB² to EF²
Area of Trapezoid ABCD = ? = x
Area of Trapezoid EFGH = 40 cm²
AB = 20 cm
EF = 5 cm
Substitute
x:40 = 20²:5²
x/40 = 400/25
x/40 = 16
Cross multiply
x = 16*40
x = 640
Area of trapezoid ABCD = 640 cm²
A jug contains 1560 no of Apple juice in it. How many will each child get if 12 children share juice equally?
Answer:
130
Step-by-step explanation:
total apple juice= 1560
if 12 children share juice equally
they get
=1560/12
= 130
(11.5) - (-11.5)
Jamal says he thinks the answer is 23. His friend, Reggie, claims the
answer will be 0.
Do you agree with either of them?
explain as long as you can
Answer:
Jamal is correct.
Step-by-step explanation:
(11.5) − (−11.5)
=11.5 − (−11.5)
=11.5 + 11.5
=23
find the value of each variable
right triangle and trigonometry
special right triangles
make brainlesst
Answer:
y=4.47 and x=√10
Step-by-step explanation:
180°-45°-90°=45°
√10/(sin 45°)=y/(sin 90)
y=4.47
√10/(sin 45°)=x/(sin45)
x=√10
The perimeter of a right -angled triangle is 72 cm . Its side are in the ratio 3 : 4: 5.Work out the longest length of the triangle.
Answer:
The longest length is 30 cm
Step-by-step explanation:
Mathematically, the perimeter of a triangle is simply the sum of the lengths of its three sides
So, what we have to do here is divide the perimeter in the given ratio to get the side lengths
since 5 is the biggest of the numbers in the ratio, it represents the largest length value
so we have this as;
(3 + 4 + 5) = 12
So that would be;
5/12 * 72
= 5 * 6 = 30
Jackson recorded the growth of a plant over 10 weeks. The equation y=0.25x+4 represents the height in inches over the time in weeks. How tall will the plant be after 5 weeks? How tall will it be after 12 weeks? (PLEASE HELP)
Answer:
5.25 inches after 5 wks
7 inches after 12 wks
Step-by-step explanation:
after 5 weeks: y = .25(5) + 4 which is 5.25 inches
after 12 weeks: y = .25(12) + 4 which is 7 inches
Last year the Debate club had 12 members. This year there are 16 members in the club. Estimate the percent change in the number of club members.
Answer:
Around 33.33% increase
Step-by-step explanation
Solve the following quadratic equation for all values of x in simplest form. 2( x2 - 1) +1= 1
Is f(x)=2x^(3)+6x even, odd, or neither?
Answer:
It is Odd
Step-by-step explanation:
Mark as Brainliest
guys i think i might have a pis.skink
Answer:
Is this true or uhhhh id,k tbh
Thanks for the free point.s anyways