Answer:
option C
Step-by-step explanation:
We will take 2 coordinates from the graph and Find the equation of the line.
Let the coordinates be : ( 0, 1) and (1, 3)
step 1 : find slope
[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]
Step 2 : equation of the line :
[tex]( y - y_1) = m (x- x_1)[/tex]
[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]
Therefore, y = 2x + 1 represent the equation of the line.
Answer:
C
Step-by-step explanation:
You need to solve for y = mx + b
You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have
y = mx + 1 so far.
Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.
The clearest point I can see is (-2,-3) which means that
x = -2
y = - 3
Put that into the equation and solve for m.
-3 = m(-2) + 1 Subtract 1 from both sides
-3-1 = m(-2) Combine
-4 = -2 m Divide both sides by - 2
-4/-2 = m
m = 2
Answer
only a and c are real choices. That's because m = 2 in both cases.
The equation we got is y = 2x + 1 which is c
44
Match each ratio with its simplest form.
12:15
20:36
18:24
Pls answer ASAP I need to finish this today and I’m stuck
A triangular parcel of land has side lengths of 100, 580, and 600 feet. Approximate the area of the land. Round your answer to the nearest foot.
Answer:
28800 square feet
Step-by-step explanation:
We solve this using the Heron's formula
Area of a Triangle = √s(s - a)(s - b)(s - c)
s = a + b + c/2
s = 100 + 580 + 600/2 = 640
Area of the land(Triangle) = √640 × (640 - 100)(640 - 580)(640 - 600)
= √640 × (540) ×( 60) × (40)
= √(829440000)
= 28800 square feet
Therefore, the approximate the area of the land is 28800 square feet.
Find an equation of the circle whose diameter has endpoints (6,4) and (2,-6)
Answer:
[tex](x-4)^2+(y+1)^2=29[/tex]
Step-by-step explanation:
We want to find a circle whose diameter has the endpoints (6, 4) and (2, -6).
Since this is the diameter, its midpoint will be the center of the circle. Find the midpoint:
[tex]\displaystyle M=\left(\frac{6+2}{2}, \frac{4+(-6)}2}\right)=(4, -1)[/tex]
So, the center of our circle is (4, -1).
Next, to find the radius, we can find the length of the diameter and divide it by half.
Using the distance formula, find the length of the diameter:
[tex]\begin{aligned} d&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ &=\sqrt{(2-6)^2+(-6-4)^2}\\\\&=\sqrt{(4)^2+(-10)^2}\\\\&=\sqrt{116}\\\\&=2\sqrt{29}\end{aligned}[/tex]
So, the radius will be:
[tex]\displaystyle r=\frac{1}{2}d=\frac{1}{2}\left(2\sqrt{29}\right)=\sqrt{29}[/tex]
The equation for a circle is given by:
[tex]\displaystyle (x-h)^2+(y-k)^2=r^2[/tex]
Substitute:
[tex](x-4)^2+(y+1)^2=29[/tex]
APQR and ARST are shown.
S
R
R
Р
+
H
440
T
What is m TSR?
mZTSR = [1]
Answer:
∠ RST = 68°
Step-by-step explanation:
Since RT = ST then the triangle is isosceles with 2 base angles congruent
∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°
WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior
Answer:
maybe it is corresponding
The question is in the screenshot. ( I really need help in this one)
Answer:
V=A*L
V=72*6
V=432 in cube
I need help asap pls pls pls...
Answer:
c)
Step-by-step explanation:
please don't trust ;-;
A birthday hat in the shape of a cone has a diameter of 28cm and a height of 48cm. The radius is?
Answer:
14
Step-by-step explanation:
the radius is always half the diameter.
but i could be wrong ,beacause im not sure why they gave you the height.
Answer:
Radius is 14 cm
Step-by-step explanation:
To find the radius, you divide the diametre by 2
28 ÷ 2 = 14
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Have a great summer :)
If line a has a slope of -3 and is perpendicular to line b, what would is the slope of line b?
Answer:
Slope of line B: 1/3
Step-by-step explanation:
To find a slope perpendicular to another slope, you take its negative reciprocal.
Therefore, line B will have a slope of 1/3 because -3 -> -1/3 -> 1/3
What is the midpoint of the line segment graphed below?
A. (4,7/2)
B. (8,7/2)
c. (4,3/2)
D (8, 3/2)
Answer:
a) (4,7/2)
Step-by-step explanation:
Midpoint Formula:
[(-1+9)/2], [(2+5)/2]
(8/2, 7/2) = (4, 7/2)
An icicle is 12 inches long and melts at a rate of 1/4 inch per hour
Answer:
It will take 48 hours for the entire icicle to melt.
Step-by-step explanation:
12 divided by 1/4 = 48
The linear equation to model the situation is f(x) = -1/4x + 12
Complete questionWrite a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.
How to determine the linear equation?The given parameters are:
Length = 12 inchesRate = 1/4 inch per hourThe above means that:
Y-intercept (c) = 12Slope (m) = -1/4A linear equation is represented as:
f(x) = mx + c
Where f(x) represents the function and x represents the number of hours.
So, we have:
f(x) = -1/4x + 12
Hence, the linear equation to model the scenario is f(x) = -1/4x + 12
Read more about rate at:
https://brainly.com/question/4931057
#SPJ6
hello i give points!
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
Answer:
i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest
the data will also wont have a major difference in them
hope this helps<3
Any help on this please ?
Answer:
x=35
Step-by-step explanation:
because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.
the equation would be:
180=x+14 +4x -9
add the like terms
180=5x =5
then subtract 5 from both sides
175=5x
then divide five from both sides
x=35
y = x2
-2
What is the Domain:
Answer:
all real numbers
Step-by-step explanation:
The domain is the values that x can take
x can be any real number
Nala and lily are playing a dice game where they score points. After one round, the ratio of nala point to lily's point is 7 to 9. If nala has 14 more points than lily, determine how many points lily has.
Answer:
Lily has 63 points and Nala has 49.
Step-by-step explanation:
Since Nala and Lily are playing a dice game where they score points, and after one round, the ratio of Nala's points to Lily's points is 7 to 9, if Nala has 14 more points than Lily, to determine how many points Lily has se you must perform the following calculation:
9 - 7 = 2
14/2 = 7
7 x 7 = 49
7 x 9 = 63
63 - 49 = 14
Therefore, Lily has 63 points and Nala has 49.
Jaclyn used the slope formula to find the slope of the line through the points given in the table.
A 2-column table with 2 rows. Column 1 is labeled x with entries 0, negative 3. Column 2 is labeled y with entries 4, 0.
1. Point 1: (0, 4); Point 2: (negative 3, 0). 2. Slope = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction = StartFraction 0 minus 4 Over negative 3 minus 0 EndFraction = StartFraction negative 4 Over negative 3 EndFraction. 3. Slope = four-thirds.
In which step did Jaclyn make an error?
Answer: She didn't make an error.
Step-by-step explanation:
She just didn't I got it right.
Answer:
answer is D
Step-by-step explanation:
helpppp pleaseee its hard
Answer:
Ten thousands
Step-by-step explanation:
Replace all other digits with zero
This gives 40,000
Ten thousand (10,000) has the same amount of digits
A ball is dropped from a height of 5m. After each bounce it rises to 35% of its previous height. After how many bounces does the ball reach a Height of less than 50cm?
Answer:
After the third bounce the ball reaches a height of less than 50cm.
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, and it's called common ratio. The nth term of a geometric sequence is given by:
[tex]A_n = A_0(r)^{n}[/tex]
In which [tex]A_0[/tex] is the first term and r is the common ratio.
A ball is dropped from a height of 5m.
This means that [tex]A_0 = 5[/tex]
After each bounce it rises to 35% of its previous height.
This means that [tex]r = 0.35[/tex]
Thus
[tex]A_n = A_0(r)^{n}[/tex]
[tex]A_n = 5(0.35)^{n}[/tex]
After how many bounces does the ball reach a Height of less than 50cm?
50cm = 0.5m. This is n for which [tex]A_n = 0.5[/tex]. Thus
[tex]A_n = 5(0.35)^{n}[/tex]
[tex]0.5 = 5(0.35)^{n}[/tex]
[tex](0.35)^n = \frac{0.5}{5}[/tex]
[tex](0.35)^n = 0.1[/tex]
[tex]\log{(0.35)^n} = \log{0.1}[/tex]
[tex]n\log{0.35} = \log{0.1}[/tex]
[tex]n = \frac{\log{0.1}}{\log{0.35}}[/tex]
[tex]n = 2.19[/tex]
Rounding up:
After the third bounce the ball reaches a height of less than 50cm.
Pls help me solve pls show how you got the answer
Answer:
48 length units
Step-by-step explanation:
area of each squre = 9
side length of each square = sqrt(9) = 3
Length of each side of grid = 4*3 = 12
Perimeter of grid = 4 sides = 4*12 = 48 length units
What is the explicit formula for the geometric sequence 2, 6, 18, 54, …?
Answer:
3x
Step-by-step explanation:
You multiply the pervious number with 3 to get the next number
For example 2 times 3 = 6
6 times 3 = 18
18 times 3 =54
54 times 3= 162
So on and so forth
find the complement of 63°
Answer:
63=90-63= 27
Bye
The chart below represents the number of marbles in a jar. What is the probability of picking blue?
P(blue) =
Answer:
yes
Step-by-step explanation:
write an equation to show the relationship between a and c when a = b + 9 b = c - 2
Given:
The equations are:
[tex]a=b+9[/tex]
[tex]b=c-2[/tex]
To find:
The equation that show the relationship between a and c.
Solution:
We have,
[tex]a=b+9[/tex] ...(i)
[tex]b=c-2[/tex] ...(ii)
Equation (i) can be rewritten as:
[tex]a-9=b[/tex] ...(iii)
From (ii) and (iii), we get
[tex]a-9=c-2[/tex]
[tex]a-c=9-2[/tex]
[tex]a-c=7[/tex]
Therefore, the required equation is [tex]a-c=7[/tex].
Can someone help me with this? i’m struggling urgent help please!!!!
Answer:
Similar by SAS
Step-by-step explanation:
If you multiply the two given sides by 3/2 you will get the sides for the large triangle
3/2 * 10 = 30 / 2 = 15
3/2 * 24 = 72 / 2 = 36
Therefore they are similar by SAS postulate for similarity. Notice that the right angle is between the legs of the triangle. That is the main qualification that allows you to use SAS for similarity.
Find the other two angles of both the triangles, if they were similar then the triangles are similar
Given the following system of equations, what value of x makes the equations true?
x+y= 3.25
x-y= 1.75
279 students went on a field trip. Five buses were filled and 9 students traveled in cars. How many students were in each bus? PLEASEEEEE HELPPPPP ME you get 60 points i dont know if anyone cares but hey
Answer:
90 students.
Step-by-step explanation:
279-9=270, and 270 divided by 9 is 90.
+
(10x+2)
→
(9X+18) find the value of x
16
Step-by-step explanation:
10x+2=9x+18
-2 -2
10x=9x+16
-9x -9x
x=16
Hope this helps! :)
Answer:
x = 16°
Step-by-step explanation:
(10x + 2)° = (9x + 18)°
10x + 2 = 9x + 18
10x + 2 - 2 = 9x + 18 - 2
10x = 9x + 16
10x - 9x = 9x - 9x + 16
x = 16°
Faith makes greetinli cards with colored paper. She plans to make 1/5 of the cards out of red paper. She
has 25 sheets of colored paper in all. If she uses all the colored paper she has, how many sheets are a
color other than red?
What is the answer I need helppppp
Answer:
y= 4 x=0 (0,4)
Step-by-step explanation:
5x+y=4
-5x +y=4
the 5x would cancel out because they equal zero
2y=4
divide both sides by 2
y=4
put the y into one of the equations
5x +4 =4
subtract 4 from both sides
5x=0
divide five from both sides
x=0/5
so x=0
Step-by-step explanation:
5x+y=4 --> y=-5x+4
Plug this into the other equation:
-5x+(-5x+5)=4
Simplify:
-10x=1
x=-.1 (save this answer)
Plug into first simplified equation:
y=-5(-.1)+4
Solve:
y=4.5
(-.1 , 4.5)
A pet store has 115 fish that need to be placed into fish tanks. Each tank can hold 6 fish. How many tanks does the store need for the fish?
Answer:19
Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank