Answer:
At (5, -4)Step-by-step explanation:
The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The equation of the line that passes through given point with a slope of m:
y - y₁ = m(x - x₁)
Line A:
[tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]
[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]
Line B:
[tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]
[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]
Point of intersect means the same coordinates x and y.
So:
[tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]
hey its mathematics please and thank you
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade? The area of the shade is ft2.
Answer:
24
Step-by-step explanation:
A triangle is a three sided polygon with three edges and three vertices
There are different types of triangles. They include :
Right angled triangle - one of the angles measure 90 degreesequilateral triangle - all three sides of the triangle are equalisosceles triangle - two sides of the triangle are equalArea of a triangle = 1/2 x ( base x height)
1/2 x (6 x 8) = 24 ft²
Can someone help me with this it’s timed !!!
Answer:
c
Step-by-step explanation:
Answer:
1. A
2. Missouri Compromise
3. Abolition
Step-by-step explanation:
how many true solutions are in x^2− 6x − 7 = 0
solve the following quadratic equation (x-16)^2=256
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Answer:
[tex]sln \\ x {}^{2} - 16 {}^{2} = 256 \\ x {}^{2} = 256 - 16 {}^{2} \\ x {}^{2} = 256 - 256 \\ x {}^{2} = 0 \\ x = 0[/tex]
I hope this help you
Jonny has $50 in a savings account. Each week, he deposits $13 in the account. Jonny's brother has $90 in a saving account. Each week, he deposits $11 in the account. Write an algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months.
Answer:
140 + 96 m
Step-by-step explanation:
There are 4 weeks in 1 month.
Therefore:
Jonny has $50 in a savings account. Each week, he deposits $13 in the account.
$50 + $13 × 4m
The algebraic expression is given as:
50 + 52m
Jonny's brother has $90 in a saving account.
Each week, he deposits $11 in the account.
The algebraic expression is given as:
$90 + $11 × 4m
90 + 44m
An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:
Amount Jonny has + Amount his brother has
50 + 52m + 90 + 44m
= 50 + 90 + 52m + 44m
= 140 + 96 m
true or false? typing 720 words in 12minutes is equal to 60 words per minute
Answer:
720/60
=12
Yepz
Step-by-step explanation:
TrueHope it helps
Answer:
It's True
Step-by-step explanation:
1 minute = 60 words
then how many words in 12 minutes?
So, Multiply 12 with 60
12 × 60 = 720
Thus, 720 words can be type in 12 minutes
-TheUnknownScientist
Maria is solving this number riddle by using guess and check: Fifteen less than a number is twelve.
Based on the riddle, which statements must be true? Check all that apply.
Answer:
27
Step-by-step explanation:
x-15=12
x=15+12
x=27
Answer:
27
Step-by-step explanation:
does anyone know the answer to this ?
Answer:answer b
Step-by-step explanation:
Answer:
I think it is B
Step-by-step explanation:
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 363 square feet. The width of the basement is 1 3 its length. What is the length of Louis's basement? The length is feet.
Answer:
the length is 33 feet
Step-by-step explanation:
The computation of the length is shown below:
Let us assume the length be x
So the width be 1 by 3 x
And the area is 363 square feet
So
As we know that
Area = length × width
363 = x × 1 ÷ 3 x
363 = 1 ÷ 3x^2
Now
363 × 3 = x^2
1089 = x^2
x = 33 feet
hence, the length is 33 feet
Someone help me ASAP !
Answer:
31
Step-by-step explanation:
HELP! 9 is what percent of 100 (need to show how I got my answer)
Answer:
9%
Step-by-step explanation:
We can start by changing this number to a fraction.
[tex]\frac{9}{100}[/tex]
We know that 100 is a whole percentage
Therfore, we would get 9%
Two trains, train A and train B, weigh a total of 251 tons. Train A is heavier than Train B. The difference of their weights is 181 tons. What is the weight of each train?
The segments shown below could form a triangle.
A. True
B. False
The school swim team has 12 freshmen, 10 sophomores, 15 juniors and 5 seniors. The team is headed by 4 coaches
Answer:
simplified its 5:4 for juniors to freshmen's
Step-by-step explanation:
Answer:
5 : 4
Step-by-step explanation:
Ratio of juniors to freshmen = 15 : 12
15 = 3 * 5
12 = 3 * 4
GCF = 3
15 : 12 = 15÷3 : 12÷ 3
= 5 : 4
Carly went for a walk and jog
• She started walking.
• After a few minutes, Carly began jogging at a faster speed than she was walking
• Carly got tired then slowed down to a slower speed than she was jogging
which graph best represents the distance Carly went?
Answer:
I believe D
Step-by-step explanation:
The reason is she starts off slowly but then keeps on gaining up and up.
One day a retail store received a box of 24 shirts. If this shipment had 6 defective shirts, what can the store expect for upcoming shipments?
F.
A box of 32 shirts will have 12 defective shirts.
G.
A box of 40 shirts will have 10 defective shirts.
H.
A box of 48 shirts will have 3 defective shirts.
J.
A box of 64 shirts will have 8 defective shirts.
Answer:
the answer is H.
Step-by-step explanation:
Megan has a bag of 6 green, 1 yellow, and 3 purple blocks. She draws a block, replaces it, and then draws another block. What is the probability that the two blocks are the same color?
Answer:
2/10 20%
Step-by-step explanation:
What is the answer to g(-9)
Answer:
-9g
Step-by-step explanation:
Move -9 to the left of g
I think this is right, sorry if it is wrong, have a great day
The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams
Answer:
HELP ME!?
Step-by-step explanation:
The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3
Answer:
Option B (16 cm³)
Step-by-step explanation:
GIVEN :-
Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³TO FIND :-
Volume of coneFACTS TO KNOW BEFORE SOLVING :-
Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is [tex]\frac{1}{3} \pi r^2 h[/tex]Hence ,
Volume of cylinder = Thrice the volume of cone
[OR]
Volume of cone = One third of volume of cylinder
PROCEDURE :-
Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]
Which represents the dimensions of the rectangular park?
A. W = 20 ft. and / = 50 ft.
B. w = 30 ft. and I = 80 ft.
C. w = 50 ft. and I = 20 ft.
D. w = 80 ft. and I = 60 ft.
What will happen to a number, if it was added to its inverse?
Answer:
The word "inverse" in the question is ambiguous, since x usually has inverses under both addition and multiplication. ... If the question is asking about the additive inverse (opposite), then the sum is always 0 for any x . So the sum takes its maximum value for any x .
Step-by-step explanation:
Answer:
Zero
Step-by-step explananation:
An inverse is the opposite of another number, so if you add them together it would equal zero.
Here are a few examples.
5+-5=0
9+-9=0
150+-150=0
-220+220=0
-476+476=0
The inverse is simply the originall number, but on the opposite side of the number line. Meaning you add or take away the negative sign, depending on the original number.
Hope I explained well:)
What Is The Measure Of X?
Answer:
Its a:70 degrees..........
Answer:
60 degrees
Step-by-step explanation:
This is because on the other side there is 30 degrees, and since a right angle= 90 degrees, simply do 90-30=60
Dexter’s aquarium holds 4.5 gallons of water. He needs to add some chemicals to balance the pH level in the aquarium. However, the chemicals are in liters. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of water in Dexter’s aquarium?
A 1.18 L
B 0.7 L
C 8.3 L
D 17.1 L
Answer:
the answer is d 17.1 L
Step-by-step explanation:
Solve the system and determine whether it is consistent or inconsistent and dependent or independent.
2x – 4y = 10
-12x + 24y = -60
hi can you please help me with this. the question is in the picture:)
determine two pairs of polar coordinates for the point (4, -4) with
Answer:
(4√2cos 135, 4√2sin135)
Step-by-step explanation:
determine two pairs of polar coordinates for the point (4, -4) with
Given the rectangular coordintate
r = √4²+(-4)²
r = √16+16
r = √32
r = √16*2
r =4√2
Theta = arctan(-4/4)
theta = arctan(-1)
theta = -45
theta = 180 - 45
theta = 135 degrees
x = rcos theta
y = rsin theta
x = 4√2cos 135
y = 4√2sin135
Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain
Answer:
Yes
Step-by-step explanation:
Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]
This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.
Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.
Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?
Answer:
[tex]Area = 287\ in^2[/tex]
Step-by-step explanation:
Given
[tex]Length = 20.5[/tex]
[tex]Space = 4.25[/tex]
[tex]Panels = 3[/tex]
See attachment
Required
The area of one panel
From the attachment, the total width is 50.5in.
i.e.
[tex]Total\ Width = 50.5[/tex]
Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.
The reduced width is:
[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]
[tex]Reduced\ Width = 42[/tex]
At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).
[tex]Width = \frac{42}{3}[/tex]
[tex]Width = 14[/tex]
The area of one is:
[tex]Area = Length * Width[/tex]
[tex]Area = 20.5 * 14[/tex]
[tex]Area = 287\ in^2[/tex]