Answer:
y = −14x + 3
Step-by-step explanation:
Parallel lines have the same slope
The equation y = −14x + 7 is put in slope intercept form ( y = mx + b )
Where m = slope
-14 takes "m's" place meaning that the slope = -14
If parallel lines have the same slope than the equation of a line parallel to y = −14x + 7 must have a slope of -14
The only equation that has a slope of -14 is D
Using B.P.T., prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that your have proved it in class IX)
Answer:
See Explanation
Step-by-step explanation:
(For Diagram please find in attachment)
Given, Let Assume triangle ABC Where, DE is Parallel to BC & D is midpoint to AB . ∵ AD=DBTo Prove, E is the midpoint of AC.Proof, If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.Since DE∥BC
∴ By Basic Proportionality Theorem,
AD/DB = AE/EC
Since it is Given, AD=DB
∴ AE/EC =1
∴ AE=EC (Proved)
Two men p and q set off from a base camp r prospecting for o,p moves 40km on a bearing 205 degree and q moves 30km on a bearing of 060 degree
a. Find the distance of q from p
b. The bearing of q from p
Answer:
(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°
= 400+225−600cos145°
= 625+600×0.8192
= 491.52+625
/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41
≊33km ( to the nearest whole number)
(b) By sine rule,
sin<QPR15=sin14533.41
sin<QPR=15sin14533.41
sin<QPR=15×0.573633.41=0.2575
<QPR=14.92°
∴ Bearing of Q from P = 25° + 14.92° = 39.92°.
≊40° (to nearest whole number)
Step-by-step explanation:
hope it helps
...
Brian runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?
Answer:
7/50 = x/75
x = 10.5
therefore he would run 10.5 miles in 75 minutes
Answer:
In 75 minutes, she runs (7/50) x 75 = 10.5.
She runs 10.5 miles in 75 minutes.
Step-by-step explanation:
If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? With four hard disk drives, the probability that catastrophe can be avoided is
Answer:
[tex]P(Atleast\ 1) = 0.9999992[/tex]
Step-by-step explanation:
Given
[tex]p = 3\%[/tex] --- rate of hard disk drives failure
[tex]n = 4[/tex] --- number of hard disk drives
See comment for complete question
Required
[tex]P(Atleast\ 1)[/tex]
First, calculate the probability that the none of the 4 selected is working;
[tex]P(none) = p^4[/tex]
[tex]P(none) = (3\%)^4[/tex]
[tex]P(none) = (0.03)^4[/tex]
Using the complement rule, the probability that at least 1 is working is:
[tex]P(Atleast\ 1) = 1 - P(none)[/tex]
This gives:
[tex]P(Atleast\ 1) = 1 - 0.03^4[/tex]
[tex]P(Atleast\ 1) = 0.9999992[/tex]
Find an equivalent ratio for the proportional relationship. PQ restaurant offers 5 chicken rolls for $6.
Answer:
5:6 lol
Step-by-step explanation:
pleasee help me,A train travels from station P to station Q at a speed of 90km/h in 3hours 40minutes.The train stops at station Q for 25minutes before returns to station P.The time taken from station P to station Q.Calculate the average speed,in km/h,of the whole journey of the train
Write a expression to represent each situation
Olivia bought 8 bags of fruit at the farmer's market. She put
a apples and b bananas in each bag.
Step-by-step explanation:
number of bags=8bags
which is the fruits=apples and bananas
total number of apples and bananas bag = 4 bag of each
In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is [tex]t = 2(\frac{2h}{32} )\frac{1}2[/tex] , where t is the time in seconds, and h is the height of the jump, in feet.
Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?
Answer:
8 inches
Step-by-step explanation:
Given:
t = 2 ( 2h/32 ) ^1/2 ( or: t = 2 * sqrt ( 2h/32) ).
Step 1: First Player
0.9 = 2 * sqrt( 2h/32 ) / ^2 ( we will square both sides of equation )
0.81 = 4* 2h/32
0.81 = h/4
h 1 = 0.81 * 4 = 3.24 ft
Step 2: Second Player
0.8 = 2 * sqrt( 2h/32 ) /^2
0.64 = 4 * 2 h/32
h 2 = 0.64 * 4 = 2.56 ft
Step 3: Simplify
h 2 - h 1 = 3.24 - 2.56 = 0.68 ft
and since 12 in = 1 ft:
0.68 * 12 = 8.16 in ≈ 8 in.
Apples are 6 for $1.50 and oranges are 5 for $3.00. How much does it cost to buy 2 apples and 2 oranges Help me solve show me the steps
Answer:
$1.70
Step-by-step explanation:
To figure out how much each apple costs, divide $1.50 by the quantity of apples (6). The answer to that is $0.25, so multiply it by the two apples to get $0.50.
For the oranges, divide $3 by 5. The answer for that is $0.60. Multiply that by the two oranges to get $1.20.
Then, add $0.50 to $1.20 to get a total of $1.70
Answer:
$1.70
Step-by-step explanation:
We know that you can buy 6 apples for $1.50 and 5 oranges for $3.00. So let's look at the cost for one individual apple first.
To find the amount/apple we can divide $1.50 by 6. Here's another way to look at it:
Assume A is cost per apple.
6A = $1.50
6A/6 = $1.50/6
A = $0.25
Now to find the amount for 2 apples, you want to multiply the amount it costs for one apple by 2, because you are multiplying the quantity by 2 as well.
A= $0.25
A *2 = $0.25 * 2
2A = $0.50
So for two apples, it is 50 cents.
We can use a similar process for oranges but with a different price and quantity.
Assume R is cost per orange.
5R = $3.00
5R/5 = $3.00/5
R = $0.60
To find the amount for two oranges we multiply the cost by two.
R = $0.60
R*2 = $0.60*2
2R = $1.20
Finally, we want the total amount for apples AND oranges so we find the sum.
$0.50 + $1.20 = $1.70
Please help ASAP...will give brainliest
Answer:
The answer is 90cm
Step-by-step explanation:
Hello,
Lateral area = (3+3+3+3)*6=4*3*612*6=72 (cm²)
Bases area= 2*3²=18 (cm²)
Total area= 72+18=90 (cm²)
HELP PLS!!
Find the value of x and the value of y.
A. x = 16, y = 9√2
B. X= 7, y = 16√2
C. x = 6√2, y=7√2
D. X= 7√3, y = 16
Answer:
A
Step-by-step explanation:
Thanks to the given angle, we can say that the triangle formed by tracing another height has two congruent legs
So
x = 9 + 7 = 16
y = √2 * 9^2 = 9√2
Answer:
A
Step-by-step explanation:
Completing the rectangle formed by legs 9 and 7 , gives us a right triangle on the left.
Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y = 9[tex]\sqrt{2}[/tex]
Using the tan ratio in the right triangle and the value tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{adj}[/tex] = 1
adj = 9
Then
x = 9 + 7 = 16
Which point represents the unit rate?
Twice a number minus 25 is less than 89. Translate it into an inequality and find the solution
Answer:
2x-25<89
x<57
Step-by-step explanation:
2x-25<89
2x<89+25
2x<114
Divide by 2...
x<57
Hope this helped! Please mark brainliest :)
write
25 x 10^6
in standard form
Answer:
2.5 * 10⁷
Step-by-step explanation:
25 * 10⁶ 2.5 * 10 * 10⁶2.5 * 10⁷Answer:
25,000,000
Step-by-step explanation:
A trader bought some oranges at 5c each She finds that 6 of them are rotten. She sells the rest at 8c each and makes a profit of $4,50. How many oranges did she buy? (Hint: let the number of oranges be x. Work in cents.)
can someone please help me
Question 1 Tell whether this table represent a proportional relationship. Give the constant proportionality.
O yes, k= 2/9
yes, k= 9
O not proportional
Answer:
yes , k = 9
Step-by-step explanation:
The equation of a proportional relationship is
y = kx ← k is the constant of proportion
To find k divide both sides by x
[tex]\frac{y}{x}[/tex] = k
Check each ordered pair in the table
k = [tex]\frac{18}{2}[/tex] = 9
k = [tex]\frac{45}{5}[/tex] = 9
k = [tex]\frac{63}{7}[/tex] = 9
Thus the relationship is proportional with k = 9
Find the volume of the triangular prism."
14 ft
h=3A
6 ft
Answer:
Step-by-step explanation:
volume =triangular area× length
=1/2×6×3×14
=126 ft³
Answer:
About 126 ft cubed
Help and explain ( solve using the substitution method )
Answer:
you are posting unvisibile photo pls fix it
Step-by-step explanation:
The amount (mass) of Carbon in a 24 gram sample of Methane is 18 grams. Find the percent of carbon in the sample.
The percent of carbon in the 24 gram sample of methane is 75%.
To find the percent of carbon in the sample of methane, you can use the formula:
Percent of Carbon = (Mass of Carbon / Total Mass of Sample) * 100
Given that the mass of carbon in the sample is 18 grams and the total mass of the sample is 24 grams, we can substitute these values into the formula:
Percent of Carbon = (18 grams / 24 grams) * 100
Percent of Carbon = (0.75) * 100
Percent of Carbon = 75%
Therefore, the percent of carbon in the 24 gram sample of methane is 75%.Mass of Carbon: The problem states that the mass of carbon in the sample of methane is 18 grams. This means that out of the total mass of the sample, 18 grams is specifically attributed to carbon.
Total Mass of Sample: The total mass of the sample is given as 24 grams. This represents the combined mass of all the elements present in the sample, including carbon and hydrogen.
Percent Calculation: To find the percentage of carbon in the sample, we use the formula: (Mass of Carbon / Total Mass of Sample) * 100. This formula calculates the fraction of carbon relative to the total mass of the sample and converts it to a percentage.
Learn more about percentage here:
https://brainly.com/question/24877689
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Divide the polynomial by the binomial with or without remainder
(y^(2)-5y+4)÷(y-4)
Answer:
(y-1)
Step-by-step explanation:
simplified you split y^2-1y+-4y+4 this is further simplified by splitting equation into y(y-1) -4(y-1) this leaves you with (y-4)(y-1)/(y-4) y-4 will cancel out and you are left with y-1
92×43 show work ( I know its easy but I'm tired so help please)
Answer:
3956
Step-by-step explanation:
92 * 43
92 * 40 = 3680
92 * 3 = 276
3680 + 276 = 3956
Which graph is that of the inequality shown below?
Answer:
Graph C
Step-by-step explanation:
Each graph has the same slope and points, but only C works for this inequality- since you’re looking for less than or equal to, and only graphs b and c show less than, you know it’s one of those. From there you know it’s less than or equal to, so you want the full line, not dotted, since dotted represents that those values are excluded from the solution.
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!
If x+y=15 and x-y=25, then what is the value of 2x^2 - y^2?
Answer:
775
Step-by-step explanation:
We are given two equations in which we can perform systems of equations by putting these two equations on top of each other then solving for one variable:
x+y=15
x-y=25
Here, we can cancel out the y variable and get:
2x=40
x=20
Then we can put the x variable into any of the equations to solve for y (in this case I will use the equation x+y=15 so 20+y=15
y=-5
Now, we can solve by plugging both variables into 2x^2 - y^2 :
2(20)^2 - (-5)^2
800-25 = 775
I hope this helps!
Answer:
775
Step-by-step explanation:
Hi there!
We are given the following system of equations:
x+y=15
x-y=25
and we need to find the value of 2x²-y²
First, let's find the value of x and y
Let's add the 2 equations together to clear y and solve for x (y-y=0)
2x=40
divide both sides by 2
x=20
Now substitute 20 as x into either one of the equations to solve for y
To do x-y=25 for instance,
20-y=25
subtract 20 from both sides
-y=5
multiply both sides by -1
y=-5
Now we know that x=20 and y=-5
Substitute those values into the expression (remember: y² is equal to y×y, or (y)²)
2(20)²-(-5)²
Raise to the second power
2(400)-(25)
multiply and open parenthesis
800-25
subtract
775
Hope this helps!
What is a set ? Give an example of a set .
Answer: 24
Step-by-step explanation:
I NEED HELP AND NOBODY HELPING ME !!
(6ab-8a+8) - (7ab-1 )
Answer:
[tex]- ab - 8a + 9[/tex]
Step-by-step explanation:
[tex](6ab - 8a + 8) - (7ab - 1) \\ 6ab - 8a + 8 - 7ab + 1 \\ - ab - 8a + 9[/tex]
hope this helps you.
Answer:
-ab - 8a + 9
Step-by-step explanation:
(6ab - 8a + 8) - (7ab - 1) =
= 6ab - 8a + 8 - 7ab + 1
= -ab - 8a + 9
Compute the simple interest on a $1000 loan at 16.75 % for five years.
Answer:
$837.5
Step-by-step explanation:
here given
Principal (P)= $ 1000
Rate. (R)= 16.75%
time. (T)= 5year
we know
Simple interest (S.I)= PTR/100
1000*5*16.75/100
= $837.5
Find the measures of the angles formed by two intersecting lines if the
sum of the measures of three of the four angles is 270°
50 points! Please help quick!
Answer:
every single angle is 90°
Step-by-step explanation:
remember that,
4 angles will form if two lines intersect and the sum of those 4 angles is 360°
we are given the sum of 3 angles i.e 270
so one of the angles should be
[tex] \displaystyle {360}^{\circ} - {270}^{\circ}[/tex]
simplify substraction:
[tex] \displaystyle {90}^{\circ}[/tex]
therefore since one of the angles is 90° the intercepting lines are Perpendicular as a result every single angle formed by the two intercepting lines is 90°
Answer:
90°
Step-by-step explanation:
We know that sum of angle around a point is 360° . Here its already given that sum of three Angles out of 4 is 270°
Therefore :-
Measure of remaining one angle ,
360 - 270 90 °Therefore the measure of the fourth angle is 90°
Find end and mid point
Answer:
You already post your answer!
Step-by-step explanation:
Maybe you should get two points in order to find midpoint and endpoint!
or you should give other information!
