Answer:
The correct answe is H , if yu sub the x value in each of the equations yu should get y
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex]
m = the slopeb = the y-intercept (the value of y when x=0)To find the slope of a line (m):
Find the coordinates of two points that fall on the linePlug them into the following formula:[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the pointsTo find the y-intercept of a line (b):
Plug the slope into [tex]y=mx+b[/tex]Plug in one of the pointsSolve for bSolving the Question
We're given a set of coordinates for this linear relation.
First, solve for the slope.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
⇒ Plug in any two points that fall on the line (in this case we used (-2,-7) and (2,1)):
[tex]m=\dfrac{1-(-7)}{2-(-2)}\\\\m=\dfrac{1+7}{2+2}\\\\m=\dfrac{8}{4}\\\\m=2[/tex]
Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=2x+b[/tex]
Now, let's solve for the y-intercept (b)
[tex]y=2x+b[/tex]
Plug in any of the given points:
[tex]1=2(2)+b\\1=4+b\\b=-3[/tex]
Therefore, the y-intercept of the line is 3. Plug this back into [tex]y=2x+b[/tex]:
[tex]y=2x-3[/tex]
Answer[tex]y=2x-3[/tex]
Suppose a city with population 300,000 has been growing at a rate of 8% per year. If this rate continues, find the population of this city in 10 years.
HELP HELPP! GIVING LOTS OF POINTS!!!! nonsense-report
We can organize the data by making a board (i can't draw one so i'll do it in another way)
First, we have to see how many different values are there :
19 ; 21 ; 22; 23 ; 24 ; 25 ; 26 ; 27 ; 28 ; 29 ; 30 ; 31 ; 32 ; 34 ; 35 ; 36 ; 37 ; 39 ; 40 ; 43 ; 44 ;45 ; 46
Frequency :
19 : 1 time
21 : 3 times
22 : 1 time
23 : 1 time
24 : 5 times
25 : 3 times
26 : 2 times
27 : 4 times
28 : 3 times
29 : 2 times
30 : 2 times
31 : 3 times
32 : 2 times
34 : 2 times
35 : 4 times
36 : 2 times
37 : 1 time
39 : 1 time
40 : 1 time
43 : 2 times
44 : 1 time
45 : 1 time
46 : 1 time
47 : 1 time
(that was so long, now you can construct the board yourself right xd)
Fill in the missing values in the table. Scale Distance on map Distance in miles 1/4 inch = 1 mile) 2.5 inches 10 miles 1/2 inch = 1 mile 4.5 inches miles 1 inch = 1 mile 3.0 inches 3 miles 1 inch = 5 miles inches 30 miles 1 inch = 10 miles 3.0 inches miles 1 inch = 15 miles 2.0 inches miles
The missing values are 9 miles, 6 inches, 30 miles, and 30 miles, respectively.
Rule of Three
It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.
The Line 02 of the Table1/2 in= 1 mile, from the rule of three, you can find the distance in miles.
1/2 inch ------------- 1 mile
4.5 inches --------- x miles
Applying cross multiplication
1/2x=4.5
x=4.5 *2
x=9 miles
The Line 04 of the Table
1 in= 5 miles, from the rule of three, you can find the distance in miles.
1 inch ------------- 5 miles
x inches --------- 30 miles
Applying cross multiplication
5x=30
x=6 inches
The Line 05 of the Table
1 in= 10 miles, from the rule of three, you can find the distance in miles.
1 inch ------------- 10 miles
3 inches --------- x miles
Applying cross multiplication
x=3*10 miles
x=30 miles
The Line 06 of the Table1 in= 15 miles, from the rule of three, you can find the distance in miles.
1 inch ------------- 15miles
2 inches --------- x miles
Applying cross multiplication
x=2*15 miles
x=30 miles
Read more about the rule of three here:
brainly.com/question/24514897
Answer:
9 miles, 6 inches, 30 miles, and 30 miles
Step-by-step explanation:
What he said. give him crown.
and right triangle sin (40 - x)° equals cos(3x)° degrees what is the value of x.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \sin(40 - x) = \cos(3x) [/tex]
[tex]\qquad \sf \dashrightarrow \: \cos\{90 - (40 - x ) \} = \cos(3x) [/tex]
[tex]\qquad \sf \dashrightarrow \:90 - (40 - x) = 3x[/tex]
[tex]\qquad \sf \dashrightarrow \:90 - 40 + x = 3x[/tex]
[tex]\qquad \sf \dashrightarrow \:3x - x = 50[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 50[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 25 \degree[/tex]
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
[tex]\sf\huge\underline{\star Solution:-}[/tex]
Given that:Hypotenuse of a right triangle = [tex]\sf\blue{16cm.}[/tex]One side (leg) = [tex]\sf\blue{9cm.}[/tex]To Find:Measure of another side(leg).Solution:-[tex]\rightarrow[/tex] As we know that,
[tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](Pythagoras Theorem)
So, using this formula we can find measure of another side(leg).
[tex]\rightarrow[/tex][tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](putting the value of both given side of triangle)
Here I am putting the value of hypotenuse in C because it is the longest side of triangle.[tex]\rightarrow[/tex] [tex]\sf{9^2 +B^2 \:=\: 16^2}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{81 +B^2 \:=\: 256}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 256-81}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 175}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B \:=\: \sqrt{175}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B\:=\: 13.22(approx)}[/tex]
Therefore, measure of another side (leg) of the triangle = [tex]\sf\purple{ 13.22(approx).}[/tex]
____________________________________
Hope it helps you:)
7. Mattie ran across a circular part. The
circumference of the park is 92.31 feet.
How far did Mattie run?
Answer:
29.39
Step-by-step explanation:
So, the formula for circumference is 2(3.14)r.
If the question is looking for the diameter,
You don't have to include the r, you can just do d(3.14)=92.31
You can divide 92.31 by 3.14 and you get 29.39
PLSSS HELP ME
(5x5)/[10x22]-4\52
Answer: 21/572
[tex]\frac{5.5}{10 . 22} - \frac{4}{52}[/tex]
The dots stand for multiplication
Could someone explain each one of these questions (apart from a) step by step? Thanks!
part c:
100-3t = 64
100-64 = 3t
36 = 3t
t = 12
part d:
1/2 (x-5) = 9
x-5 = 9 / (1/2)
x-5 = 18
x = 23
What additional information could be used to prove that the triangles are congruent using AAS?
Select two options
Answer:
Step-by-step explanation:
We have two congruent angles, so we need a pair of congruent sides. This is satisfied by options 2 and 3.
what is the answer to two plus two divided by 3 times 6
Answer:
8
Step-by-step explanation:
2 + 2 = 4
4 / 3 = 1.3
1.3 x 6 = 8
How many milliliters are in 12.9 liters?
Answer:
12,900
Step-by-step explanation:
12.9 x 1000 = 12,900
Answer:
12,900. That is because you must multiply the amount to find the converted value, in this case, 12,900.
Mike invests $4000 in an account that earns 3% annual interest. How much money will there be in the account after 3 years if the interest is compounded semi-annually?
Answer:
$4786.72
Step-by-step explanation:
4000(1+0.03/6)^12(3)
Use this formula to find the compounded interest after each 6 months, which would have an interest rate used to increase the amount of money.
What is the cost of 10.0 gallons of gasoline priced at 1.449 per gallon?
Answer:
14.49
Step-by-step explanation:
thats all folks i don't know why though
What is the solution to this system of equations?
Answer:
Replace the y, z, and x values with real numbers .
0 - 3 = -3
5 + 4 = 9
3 + 4 = 7
Please answer this with an explanation
Answer:
35 feet
Step-by-step explanation:
when the flare is fired , time t = 0
substitute t = 0 into the equation
f(0) = - 10(0)² + 60(0) + 35 = 0 + 0 + 35 = 35
Answer:
the correct answer would be 35 feet
Step-by-step explanation:
hope this helps
How to find a surface are?
The surface area is found by finding the area of all shapes creating the surface, and then adding them together.
Example:
If we have a 5 x 5 x 5 cube, we will find all six sides. Since 5 x 5 is 25, and 25 x 6 = 150, the surface area of this example cube will be 150 units².
Why the x 6? Since it is a cube all the sides have the same area, and a cube has 6 sides.
DOES ANYONE KNOW THIS ?? Its not 20 or 16 and the layers that can be put into the box is 4 number 2 thank u so much i will make u brainliest if its right
Answer:
4 layers
128 cm²
0.1 m
Step-by-step explanation:
Height of chocolate = 0.5 cmHeight of open box = 2 cmLayers of chocolate
Height of box / Height of chocolate2 / 0.52 x 24 layersVolume of box
8 x 8 x 264 x 2128 cm³Length of river on map
x : 10,000 = 1 : 100,000x = 0.1 metersAnswer:
128
Step-by-step explanation:
Volume of an open box= 2(b x h) + 2(l x b) + 2(l x h)
now here the length and breadth are same, so both are 8, and there is no need to put 2 before (l x b) as it is an open box
(8 x 8) + 2(8 x 2) + (8 x 2)
A trigonometry student stands 25 meters from a building and measures the angle of elevation to the top of the building as 30â°. how accurate does her angle measurement have to be if she wants her propagated percentage error in estimating the height of the building to be no more than 5%?
Using the slope concept, it is found that the angle measurement has to be within 1.2º of 30º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, considering the horizontal distance and the actual angle, the following equation is applied to find the actual height:
[tex]\tan{30^\circ} = \frac{h}{25}[/tex]
[tex]h = 25\tan{30^\circ}[/tex]
h = 14.43.
For an error of 5%, the bounds of h are as follows:
[tex]h_{min} = 0.95 \times 14.43 = 13.71[/tex]
[tex]h_{max} = 1.05 \times 14.43 = 15.15[/tex]
Hence, the angles will be given by:
[tex]\tan^{\alpha} = \frac{13.71}{25}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{13.71}{25}\right)}[/tex]
[tex]\alpha = 28.8[/tex]
[tex]\tan^{\alpha} = \frac{15.15}{25}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{15.15}{25}\right)}[/tex]
[tex]\alpha = 31.2[/tex]
Hence the angle measurement has to be within 1.2º of 30º.
More can be learned about the slope concept at https://brainly.com/question/18090623
12 Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the functions with their periods. y=-3tan3.r y=6sin3r 2.1 y=-4cot y=2009 y=-žsec 37 3 27 3 kas 3 10T Reset Next
Answer:
Just use a calculator
Step-by-step explanation:
It's easier :)
What’s the distance between the points (-3,10)and(6,-2)
Answer:
i think its 20
Step-by-step explanation:
Which scatterplot shows a linear association?
Answer:
B
Step-by-step explanation:
A linear association means the function is a relation that can be shown with a line.
The first scatterplot is in the form of a parabola, and parabolas are the quadratic function form, meaning it cannot be linear.
Next, the second scatterplot goes diagonally, in a straight line. If we were to connect the dots using a line, then it would be a linear association, meaning that B is the correct answer.
What is the sum of the geometric sequence 2, 8, 32, if there are 8 terms?
Answer:
43690
Step-by-step explanation:
hope u understand it
Your final balance on an investment of $130 invested at 8% was $182.00. For what period of time did you invest?
Answer:
17.5 months.
Step-by-step explanation:
Can the sides of a triangle have lengths 7, 15, and 18?
Answer:
Yes it can!
Step-by-step explanation:
The 2 shortest sides how to be bigger than the longest sides when combined
7 + 15 = 22 and 22 is bigger than 18. So yes you can make a triangle with those side lengths.
Answer:
Step-by-step explanation:
If this is a right angle triangle then no, it is impossible since this set of lengths is NOT a pythagorean triple.
If this is a non-right angle triangle then yes.
(0,3) and (5,13) what is the answer
Answer:
if you're asking for the slope the answer is 2
Step-by-step explanation:
i hope your asking for slope
Pleas help. 5 Divided by 1/8
[tex]\dfrac{5}{\tfrac 18} = 5 \times \left(\dfrac 18 \right)^{-1}= 5\times 8 = 40[/tex]
Answer:
40
Step-by-step explanation:
[tex] \frac{5}{1} \div \frac{1}{8} [/tex]
[tex] \frac{5}{1} \times \frac{8}{1} [/tex]
[tex]40[/tex]
1
unit.
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of
2
1
How many
unit cubes does it take to fill the prism?
2
NI
Answer:
48
Step-by-step explanation:
If the side length is 1/2, cube it to find the volume of the cube. Then divide 6 by 1/8. Remember that if you are dividing a fraction, you multiply by the reciprocal, in this case 8. 6 times 8 is 48.
Do number 5 pleaseee
Answer:
A
Step-by-step explanation:
16 × 2 = 32
20 × 2 = 40
hshsjbdjidjeje
Find the value of x
Find the measures of the following angles
Answer:
Step-by-step explanation:
PLEASE HELP !!!!! I HAVE TO TURN THIS IN BY TOMORROW
Answer:
Step-by-step explanation:
Given the equation: y = 8 * 2ˣ, substitute the x-values in the table for x in your equation, to find the y-values.
For x = -1
[tex]y = 8 * 2^x\\y=8*2^{-3}\\y=8*\frac{1}{2^3} < ==negative\ exponent\ property: x^{-n}=\frac{1}{x^n}\\y=8*\frac{1}{8}\\y=8*0.125\\y=1\\\\(-1,1)[/tex]
For -2:
[tex]y = 8 * 2^x\\y=8*2^{-2}\\y=8*\frac{1}{2^2} < ==negative\ exponent\ property: x^{-n}=\frac{1}{x^n}\\y=8*\frac{1}{4}\\y=8*0.25\\y=2\\\\(-2,2)[/tex]
For -1:
[tex]y = 8 * 2^x\\y=8*2^{-1}\\y=8*\frac{1}{2^1} < ==negative\ exponent\ property: x^{-n}=\frac{1}{x^n}\\y=8*\frac{1}{2}\\y=8*0.5\\y=4\\\\(-1,4)[/tex]
For 0:
[tex]y = 8 * 2^x\\y=8*2^0\\y=8*\frac{1}{2^2} < ==zero\ exponent\ property: x^0=1\\y=8*1\\y=8\\\\(0,8)[/tex]
For 1:
[tex]y = 8 * 2^x\\y=8*2^1\\y=8*2\\y=16\\\\(1,16)[/tex]
For 2:
[tex]y = 8 * 2^x\\y=8*2^2\\y=8*4\\y=32\\\\(2,32)[/tex]
For 3:
[tex]y = 8 * 2^x\\y=8*2^3\\y=8*8\\y=64\\\\(3,64)[/tex]
Hope this helps!