Answer:
The slope of the perpendicular line is 2/5.
Step-by-step explanation:
We want to find the slope of the line that is perpendicular to the line that passes through the points (-1, 6) and (3, -4).
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
Find the slope of the original line:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-4)-(6)}{(3)-(-1)}=\frac{-10}{4}=-\frac{5}{2}[/tex]
The slope of the perpendicular line will be its negative reciprocal.
Thus, the slope of the perpendicular line is 2/5.
The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.
Step-by-step explanation:We have to find the slope of the line perpendicular to the line through the points (-1,6) and (3,-4).
using the formula;-
m = (y²-y¹) / (x²-x¹)
Where,
m = slope ( y² - y¹) = ( -4 -6 )( x² - x¹) = ( 3 - 1)plug the value and simplify.
m = ( (-4 ) - 6)/(3 - (- 1)
m = - 10 / 4
m = - 5/2
Hence, The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.
Add (1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2) For each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically.
Answer:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]
Step-by-step explanation:
Given
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]
Required
Solve
We have:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]
Collect like terms
[tex]1.3t^3 + 0.6t^2 + 0.4t^2 - 24t- 18t + 8[/tex]
[tex]1.3t^3 + t^2 -42t + 8[/tex]
So:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]
Answer:
look at pic
Step-by-step explanation:
Given: P (-4; 7), Q ( 3;0) and R (-1;-4).
Determine:
1.1.1
the gradient of QR
If A = {1, 2, 3} the number of non-empty proper subsets are
Answer:
The number of non empty proper subsets of a set with 3 elements is =23−2=8−2=6.
What is the product?
Find the x and y intercept for the equation: − = 4
Answer:
x = (4,0)
y = (0,-4)
Step-by-step explanation:
x - y = 4
(0) - y = 4
-(-y) = -(4)
y = -4
x - (0) = 4
x = 4
x = (4,0)
y = (0,-4)
Answer:
x = 4 . 0
y = 0 . -4)
Step-by-step explanation:
John had $20. He earned $5, spent $10, earned $5 again, and then spent $3. After this series of earings and expenses, how much money did he owe or have left?
Answer:
It might be $17 for how much he has left.
Step-by-step explanation:
$20+$5-$10+5-$3=$17
Write the equation of the graph shown below in factored form.
Answer:
where is the graph?
Step-by-step explanation:
I could help.
how do i answer this?
Step-by-step explanation:
here is the answer. Hope that helps.
solve the logarithmic equation
[tex] log_{3} {x}^{2} - log_{3}(x + 6) = 1[/tex]
Answer:
Step-by-step explanation:
Using log(x) - log(y) = log (x/y)
logx^2 - log(x+6) = 1 is equal to:
log (x^2/(x+6)) = 1
Taking inverse base 3 log on both side:
x^2/(x+6) = 3
x^2 = 3x + 18
x^2 - 3x - 18 = 0
(x-6)(x+3) = 0
x = 6 or -3
Answer:
Step-by-step explanation:
1 = base 3log3
substitute
logx^2-log(x+6) = log3
logx^2 - log(x+6) - log3 = 0
log( (x^2/(x+6))/3 ) = 0
anti-log
x^2/3(x+6) = 1
x^2 = 3(x+6)
x^2-3x-18=0
x=6 n -3
anti-log base 3 on both sides:
Which statement about a right triangle is true?
A: The length of each leg equals 1/2 of the hypotenuse.
B: The square of the hypotenuse is equal to the sum of the squares of the legs.
C: One leg is always longer than the hypotenuse.
D: A right triangle can have only one obtuse angle.
Answer:
the square of hypotenuse rs eqaul to the sum of the square of the legs
help! A new law has support from some Democrats and some Republicans. This two-way frequency table shows the proportion from each political party that does or does not support the new law.
Which conclusions can be made from this table?
Select each correct answer.
For both parties, more members do not support the law than support the law.
Compared to the Republicans, the Democrats have a larger percentage of members who support the law.
More Republicans support than the law than do not support the law.
Among Democrats, a larger percentage do not support the law than support the law.
Support Do not support
Democrat 0.32 0.68
Republican 0.44 0.56
What i can see:
It seems this law isn't particularly majorly favored in either party. In a lot of cases one party will have the majority support and one will have minority support. Although it seems to be more favored amongst democrats.
Like "insert law here" may be more favored by republicans or align more to their usual values.
Another thing is that it seems that it is controversial and a large portion either supports or doesnt support this law in both parties.
Im no master politician ofc but i am interested in politics so, yeah :)
Answer:
Among Democrats, a larger percentage do not support the law than support the law.
For both parties, more members do not support the law than support the law.
Step-by-step explanation:
just finish the test
if two angles are supplementary, then what is the measurement of the missing angle, if one angle is 120?
Answer: 60°
Step-by-step explanation:
If two angles are supplementary, that means they add up to 180°.
Therefore, if one angle is 120°, the other missing angle can be calculated by:
180° - 120° = 60°
Se conoce que 6 jarras cuestan lo mismo que 5 cubiertos y que 3 cubiertos cuestan S/. 7.20, ¿Cuánto costarán 7 jarras? (2 PUNTOS)
Answer:
7 jarras costarán 14 $
Step-by-step explanation:
Si 3 cubiertos cuestan 7.20 $
1 cubierto cuesta 7.20/3 = 2.40 $
y 5 cubiertos cuestan 5* 2.40 = 12 $
que también cuestan 6 jarras = 12 $
Luego 1 jarra cuesta 12/6 = 2 $
Por lo que 7 jarras costarán: 7 * 2 = 14 $
What number line model represents the expression 5 1/2 + (-3)
Answer:
(A)
Step-by-step explanation:
The bottom arrow goes to 5 1/2, and then because adding -3 is the same as subtracting 3, the top arrow correctly goes back 3, resulting in an answer of 2 1/2.
Hope it helps (●'◡'●)
A triangle has a base of 15 inches and an area of 60 square inches. What is the height of the triangle? In
your final answer, include all of your calculations.
Hi there!
[tex]\large\boxed{h = 8in}[/tex]
Area of a triangle:
A = 1/2(bh)
Plug in given values:
60 = 1/2(15h)
Solve for h. Multiply both sides by 2:
120 = 15h
Divide both sides by 15:
120/15 = h
h = 8 in
Answer:
8 inches
Step-by-step explanation:
1. BasicsArea of a triangle: [tex]\frac{1}{2}BH[/tex]
2. Solving[tex]\frac{60}{15} *2[/tex][tex]4*2=8[/tex]2. Checking[tex]\frac{1}{2}(8)(15)=\frac{1}{2} (120)=60[/tex] CORRECT
8 inches
Hope this helped! Please mark brainliest :)
write 36,438 correct to 2 significant figure
(show how you did it)
Answer:
36,000
Step-by-step explanation:
Rounding Significant Figures Rules
Non-zero digits are always significant Zeros between non-zero digits are always significant Leading zeros are never significant Trailing zeros are only significant if the number contains a decimal pointRounding Rules
When rounding significant figures the standard rules of rounding numbers apply, except that non-significant digits to the left of the decimal are replaced with zeros.
Example: 356 rounded to 2 significant digits is 360
This calculator rounds down if the next digit is less than 5 and rounds up when the next digit is greater than or equal to 5.
In the table below 305.459 is rounded from 0 to 6 significant figures. For comparison the same number is rounded from 0 to 6 decimal places. You can see the difference between rounding for significant figures and rounding to decimal places.
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Answer:
The points lie INSIDE THE CIRCLE
hope it helps
have a nice day
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
Mia invests $5,000 in an index fund. After 1 year, the fund's share price has increased by 8%. How much did Mia gain?
Answer: In the end, she has $5400 in total, so she must gain $400 on her investment.
Step-by-step explanation:
8% is 0.08 >>> add 1 to it = 1.08
5000*1.08 = 5400
or the other way to do this is 5000*0.08 = 400 and then 5000+400=5400
Hope this helps!
4. Convert 23 miles per hour to kilometers per minute. (1 mile = 1.609 kilometers)
Answer:
Ewan ko lng po when you find someone ma mas better less sa kanya
Toby's little brother used his set of wooden blocks to build a giant tower. He stacked up 30 blocks to make a tower that was 64 inches tall.
How tall is each block?
Write your answer as a proper fraction or mixed number.
Solution to the question:
Number of blocks stacked: 30
Height of tower: 64 inches
Height of each block: ?
To find the height of each block, we divide the total height of the tower with the number of blocks stacked
Therefore,
Height of each block: 64/30 = 2.13 inches
So, the height of each block is 2.13 inches.
Points R, L, and S are
A. non-collinear and non-coplanar
B. coplanar and collinear
C. non-collinear and coplanar
D. collinear and collinear
Answer:
C. non collinear and coplanar
Option (C) non-collinear and co planar is the correct answer about the points R, L, and S.
What is coplanar?A set of points in space are co planar, if there exists a geometric plane that contains them all.
What is non-collinear?Non-collinear points are points that do not lie on one straight line. The points are not collinear, when they are joined with each other, they form a triangle, which is a three-sided polygon.
For the given situation,
The diagram shows the plane M and the triangle.
In the diagram, all the points are lie on the same plane but the points are not lie on the same line.
Three points are always co planar, and if the points are distinct and non-collinear, the plane they determine is unique.
Hence we can conclude that option (C) non-collinear and co planar is the correct answer about the points R, L, and S.
Learn more about co planar and non-collinear here
https://brainly.com/question/24250339
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What is the domain and range?
Answer:
15
Step-by-step explanation:
SOMEONE PLEASE HELP!!
Answer:
RV = 18
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18
Find the TWO integers whos product is -12 and whose sum is 1
Answer: -3, 4
Step-by-step explanation:
Integer #1 = xInteger #2 = yx · y = -12
x + y = 1 ⇒ y = 1 - x
Bring the y-value(1 - x) into x · y = -12:
[tex]x(1 - x) = -12 \\x-x^{2}=-12\\-x^{2}+x+12=0\\-(x^{2}-x-12)=0\\(x+3)(x-4)=0\\x=-3,x=4[/tex]
Bring the x-values into y = 1 - x and see if the values multiply to -12:
x = -3 ⇒ 1 - (-3) = 4 ⇒ 4 * -3 = -12
x = 4 ⇒ 1 -4 = -3 ⇒ -3 * 4 = -12
Isabell drove 819 miles in 13 hours. at the same rate how many miles would she drive in 7 hours
Answer:
441 miles
Step-by-step explanation:
Rate of the Car: 819/13 = 63mph
Miles Driven in 7 Hours: 63*7 = 441 miles
Answer:
441 miles
Step-by-step explanation:
* means multiply
819/13 = x/7
13 * x = 819 * 7
13x = 5733
x = 5733 ÷ 13
x = 441
What is the equation of the line written in general form? I need the answer ASAP
Answer:
The answer is 3x-y-2=0
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line
m = [tex]\frac{4-1}{2-1}[/tex] = 3
The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = 3x - 2 ← in slope- intercept form
subtract y from both sides
0 = 3x - y - 2 , that is
3x - y - 2 = 0 ← in general form
Which points are coplanar and non ol linear
Answer:
COPLANAR:Point A, C and D
NON- COLLINEAR:Point B
Step-by-step explanation:
[tex]{hope it helps[/tex]
How do I find X in this problem
Answer: x = 16°
Step-by-step explanation:
This is a right triangle, which means all angles add up to 180°.One of the angle is already determined to be 90°, that means the sum of the other two angles must also be 90° in order to meet a total of 180°.This means (x+26)° + 3x° = 90°.
Solve for x:
x + 26 + 3x = 90
x + 3x = 90 - 26
4x = 64
x = 64 ÷ 4 = 16°
Answer:
x = 16
Step-by-step explanation:
First you have to know the max degrees in this figure
Since the shape is a right triangle, then the max degrees is 180°
Now that box in the triangle indicates that the angle measures 90°
180° - 90° = 90°
so for both missing angles, we're going to create a equation that satisfy to 90°
[tex](x+26)+(3x)=90[/tex]
First subtract the 26 from both sides (on 90 and on the equation)
[tex]x+3x=64[/tex] (We're left with this)
64 = 3x + x
64 = 3(16) + 16
64 = 48 + 16
64 = 64
x = 16
If anybody can help me with questions 5-8 that will be awesome!!! THANK YOU SO MUCHHHHG
Answer:
5. B
6. B
7. D
8. D
< means a filled in circle.
Hope this helps!
Increase £16470.45 by 13.5% Give your answer rounded to 2 DP. Someone help pls
Answer: £18693.96
Step-by-step explanation:
13.5% = 0.13516470.45 + 16470.45(0.135)
= 16470.45(1 + 0.135)
= 16470.45(1.135)
≈ 18693.96
