Answer:
7. Orthocenter is on the triangle, at (0,0).
8. Orthocenter is outside the triangle, at (1,-5)
Step-by-step explanation:
Answer:
7. (0, 0) - on the triangle8. (1, -5) - outside the triangleStep-by-step explanation:
Question 7Given points:
J(1, 3), K(-3, 1), L(0,0)Orthocenter is the intersection of altitudes. Altitude is perpendicular segment with one end on the opposite vertices.
Lets work out two altitudes and find their intersection.
Slope of JL
m(JL) = (0 - 3)/(0 - 1) = 3Equation of the line that is perpendicular to JL and passes through K(-3, 1). The line has the slope -1/3.
y - 1 = -1/3(x - (-3)) ⇒ y = -1/3xSlope of KL
m(KL) = (0-1)/(0 - (-3)) = -1/3Equation of the lines that is perpendicular to KL and passes through J(1, 3). The line has a slope -1/(-1/3) = 3
y - 3 = 3(x - 1) ⇒ y = 3xThe orthocenter is the intersection of the lines:
-1/3x = 3x ⇒ x = 0 ⇒ y = 0The point is (0, 0) which overlaps with point L so it is on the triangle
Question 8Given points:
D(-3, -2), E(-2, -2), F(1,2)Lets work out two altitudes and find their intersection.
Slope of DE
m(DE) = (-2 - (-2))/(-2 -(-3)) = 0, horizontal lineEquation of the line that is perpendicular to JL and passes through F(1, 2). The line is vertical:
x = 1Slope of EF
m(EF) = (2- (-2))/(1 - (-2)) = 4/3Equation of the lines that is perpendicular to EF and passes through D(-3,-2)
The line has a slope -1/(4/3) = -3/4:
y - (-2) = -3/4(x - (-3)) ⇒ y = -3/4x - 17/4The orthocenter is the intersection of the lines:
x = 1y = -3/4 - 17/4 = -20/4 = -5The point is (1, -5) is outside the triangle
Which is the rationalized form of the expression sqrtx/sqrtx+sqrt7
Answer:
(x - √7*√x) / (x - 7)
Step-by-step explanation:
I suppose your expression is √x / (√x + √7)
(√x * (√x - √7)) / ((√x + √7) * √x - √7)) = (√x * √x - √7 * √x) / (x - 7)
= (x - √7*√x) / (x - 7)
Answer:
Its A
Step-by-step explanation:
I just took the test on edge
A car travels 48 km in 33 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.
Answer:
54.2288 or 54.3 If this helps pls mark as brainliest
Step-by-step explanation:
Answer:
87.3 km/h
Hope this helps you!
3 time the sum of a number and 5
Answer:
3(x+5) is the answer.
Find the edge of a cube whose volume is equal to the volume of a cuboid with dimensions 36 cm × 75 cm × 80 cm.
Given:
Dimensions of a cuboid = 36 cm × 75 cm × 80 cm.
To find:
The edge of a cube whose volume is equal to the volume of the given cuboid.
Solution:
We know that the volume of a cuboid is
[tex]Volume=length\times breadth \times height[/tex]
[tex]V_1=36\times 75 \times 80[/tex]
[tex]V_1=216000[/tex]
The volume of a cube is
[tex]Volume=a^3[/tex]
Where, a is the side length of the cube.
The volume of cube and cuboid are equal. So,
[tex]a^3=216000[/tex]
[tex]a=\sqrt[3]{216000}[/tex]
[tex]a=60[/tex]
Therefore, the measure of edge of the cube is 60 cm.
he cost of 7 toys is AED 294. Find the cost of 5 toys. (Unitary method)
Please help this is timed
Large Sugar cubes measure 1/2 inch on each edge. They fit into a rectangular container that is 2 inches long, 1 1/2 inches wide and 1 1/2 inches tall.
The volume of each cube is _____.
____ sugar cubes will fit into the container.
Step-by-step explanation:
multiple 1/2 × 2 × 1 1/2
you can download Desmo calculator or write down what you multiple neatly on a piece of paper and use photo math
Please could someone help me with this
What symbol makes the statement true?
4/6 3/8
Answer:
>
Step-by-step explanation:
because
16/24 > 9/24 :)
plz help me with this math question
Answer:
8^2-60 , 11^1 , 2^2x5
Step-by-step explanation:
2^2= 4
4 x 5 = 20
11^1= 11
8^2= 64
64-60 = 4
I need help on this slope interception
Answer:
Step-by-step explanation:
0 -3 y intercept is -3 when x is 0
x y
-1 1 0 -3 subtract 1 for x and 3 for y
2 3
3 6
4 9
x only increase by ones y increases by threes
so the slope is y/x which means 3/1 up three, 1 to the right
y=mx+b
y = 3x-3
Use the graph shown above to find the
equation of the line passing through the point
in slope-intercept form
Answer:
You do not
have graph, child.
Perform the operation
(10^2-x+1)-(9x-2)
Answer:
-9x^2+911x-202
Step-by-step explanation:
You will need to multiply each term in the parenthesis with each term in the other parenthesis.
What are the values of x in the quadratic equation below? Select two options. ( x − 2 ) ( x + 4 ) = 0
URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pts)
Answer:
Here is the answer I solved.
WILL MARK BRAINLYIST IF CORRECT!
Answer:
itsssssssssssssssssss C
please help
find the value of x in the isosceles triangle shown below.
Answer:
x = square root of 55
x^2 = 8^2 - 3^2
x^2= 64 -9
x = square root of 55
Determine the intercepts of the line.
-5x – 4y = 10
y-intercept:
X-intercept:
Answer:
y - intercept = -5/2
x-intercept = -2
Step-by-step explanation:
-5x - 4y = 10
At y-intercept , x = 0
0 - 4y = 10
y = 10/-4
y = -5/2
At x-intercept, y = 0
-5x - 0 = 10
-5x = 10
x = 10/-5
x = -2
Please help, it would be very much appreciated
Answer:
153.86 units squared.
Step-by-step explanation:
given
diameter (d) = 14
radius (r) = 14/ 2 = 7
Area of the circle
= πr²
= 3.14 * 7²
= 3.14 * 49
= 153.86 units squared
Hope it will help :)❤
How many Square feet of outdoor carpet will we need for this hole? plzz helpp!
Answer: I would say 4 square feet
Step-by-step explanation:
Pls give brainliest
12) help pls I have the answer I just need to show the work
Which expression is correct for “y”?
Answer: A
Answer:
y = tan-1 (31/23)
Formula: SOHCAHTOA
TOA: tan = opposite/adjacent
31 / 23 = 1.3478
tan-1 of 1.3478 is 53.4264
53.4264 = 53 (rounding to the nearest degree)
y = 53 degrees
I need help pls please
Answer:
3.80
Step-by-step explanation:
Answer:
3.801
Step-by-step explanation:
Divide and move your decimals.
Plan help with one I really need it
Answer:
Step-by-step explanation:
1) Area of garden = side * side
= 10* 10
= 100 Sq.m
2) Area of each flowerbed = 1*1 = 1 sqm
3) Area of 4 flowerbed = 1 * 4 = 4 sqm
Area of the remaining garden = Area of garden - area of 4 flower bed
= 100 - 4
= 96 sq.m
4) Length of the fence = 4 *side
= 4 * 10 = 40 m
5) Cost of planting in the remaining garden = 96 * 20
= ₹ 1920
Please help you guys, Look at the picture attached
Answer:
Step-by-step explanation:
if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3
5.
x=(-2+4+10)/3=4
y=(6+0+6)/3=4
centroid=(4,4)
6.
x=(3+5-2)/3=2
y=(3-1+1)/3=1
centroid=(2,1)
PLS HELP I NEED IT ASAP ILL MARK BRAINLIEST
Answer:
Earth : Moon
1 : 27
Step-by-step explanation:
24 hrs = 1 day
so the ratio is up there
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
I need help solving this pls
Answer:
Adding them together. x = 3/2, y = 8
Step-by-step explanation:
Adding because we want to get rid of a variable. If we add, 2x + 6x = 8x, 1/2 * y + (-1/2 * y) = 0, and 7 + 5 = 12. Adding gets rid of the y variable.
By adding we get that 8x = 12 which gives us x = 12/8 = 3/2
Substituting this back into either equation will give us y = 8.
I really need to know this answer! Please help
Answer:
Area of rectangle = 54
Area of triangle= 18
Total area = 72
Step-by-step explanation:
Area of rectangle = length × width
= 9 × 6
= 54
Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height
[ Height of the triangle = 10 - 6 = 4 ]
Area of a triangle = [tex]\frac{1}{2}[/tex] × 9 × 4
= 18
Total area = Area of rectangle + Area of triangle
= 54 + 18
= 72
[ The unit should be: [tex]cm^{2}[/tex] or [tex]m^{2}[/tex] etc.; it should have the 'square'. ]
A deli offers bag lunches with 2 bread choices and 3 meat choices, as shown in this tree diagram.
What is the probability that someone will randomly choose a turkey sandwich?
A) 2/3
B) 1/2
C) 1/6
D) 1/3
Answer: 1/3
Step-by-step explanation:
a vacant rectangle lot is being turned into a community pool with a concrete path around it. the area of the lot is represented by 4x² +4c -48 where x is the length of the path in yards what is the length of the path A. 3 yards B 4 yards C. 12 yards D. 48 yards
Answer:
Step-by-step explanation:b448
which is faster 1m/s or 1km/h
Answer:
The answer is 1m/s
Daisy can clean a house in 9 hours. When she works together with her sister Bella, it takes them 5 hours. Let x represent how long it takes Bella to clean the
house by herself.
Set up an equation to represent the situation. Do not solve.
Answer:
×= 5hrs
Step-by-step explanation:
Daisy 9 hrs
Bella my son 5hrs