what is the equation of the line passing through ( -5, -3 ) and perpendicular
to the line representing the equation y = - 5/7x + 2?
Answer:
y = 7/5x + 4
Step-by-step explanation:
use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.
(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4
please help. I am getting in trouble so please try to be correct...
What is the approximate area of the congruent orange right triangles?
A. 17 in2
B. 31 in2
C. 33 in2
D. 51 in2
Answer: The answer is A 17in2
Step-by-step explanation:
In the question it states that the triangles are congruent (both the same).
first I found the area of the top orange triangle.
the formula to find the area of a triangle is [tex]\frac{1}{2} bh[/tex] (base times Height).
so I did [tex]\frac{1}{2} 3.23* 5.12[/tex] which gave me 8.27.
Since the triangles are congruent (the same) they would both have the same area along with base and height. so I multiplied 8.27 by 2 (because there are two triangles) and got 16.54 which rounds up to 17.
the question also stated to find the APPROXIMATE area (close to the actual, but not completely accurate or exact.)
Answer:
A. 17 in2
Step-by-step explanation:
have a good day ^_^
Which statement can you be sure is true?
A.
NO
is parallel to ML.
B.
NO
is proportional to ML.
C.
NO
is not parallel to ML.
D.
None of the above is true.
Answer:
C
Step-by-step explanation:
NO is not parallel to ML.
If you need to show multiplication, do not use the letter w. Use the asterisk
(*) symbol instead, or simplify your answer.
Mr. Jones's algebra class has too many students in it. If the class were split
exactly in equal parts to form 3 new classes, each class would have no more
than 14 students in it
Answer:
42 students total, 14*3=42
Step-by-step explanation:
I'm not exactly sure what the question is, but I am assuming that it is , How many students were in the original class?
If you have 14 students in 3 classes, then you need to multiply each class by 14.
14 students × 3 classes = 42 students in the original class
At the amusement park each students is given $16 dollars for food. This covers the cost of 2 meals plus $4 for snacks. how much money does the school expect each student to spend per meal. Which equation can be used to represent this situation? plz help now if u can
Answer:
16 = 2x + 4
Step-by-step explanation:
The total amount of money they are given is $16. That is split up into 2 equal groups with 4 left over. So you'd have to subtract 4 from both sides. Then divide both sides by 2. This will give you the answer to how much money they expect the students to spend on food.
may someone help me out, i having a little bit of trouble.
Which values satisfy the inequality? 2 ≥ y/5 -1
Choose all answers that apply:
A: y=15
B: y=20
C: y=25
Answer:
A is correct, B and C are not!
Step-by-step explanation:
2 ≥ y/5 -1 means 2 is greater than or equal to the number on other side
So try those answers (15, 20, and 25) as y
2≥ 15/5-1
2≥3-1
2≥2
True! So A, 15, works
2≥20/5-1
2≥4-1
2≥3
False! So B, 20, does NOT work!
2≥25/5-1
2≥5-1
2≥4
False! So C, 25, does NOT work!
Hope this helps! Please mark brainiest :)
An alloy is composed of nickel, zinc, and copper in a ratio of 7:2:9. How many kilograms of each metal are needed to make 3.6 kg of this alloy?
Answer:
Nickel= 1.8 kg
Zinc= 0.4 kg
Copper= 1.8 kg
Step-by-step explanation:
7:2:9
7=nickel
2=zinc
9=copper
7+2+9=18
18×2=36
7×2=14 2×2=4 9×2=18
Divide by 10
14÷10=1.4 4÷10=0.4 18÷10=1.8
1.8+1.4+0.4= 3.6
1.8=nickel
0.4=zinc
1.8=copper
Amount of each metal are needed to make 3.6 kg of this alloy are,
Nickel = 1.4 kg
Zinc = 0.4 kg
Copper = 1.8 kg
We have to given that,
An alloy is composed of nickel, zinc, and copper in a ratio of 7 : 2 : 9.
Now, We can assume that,
Amount of nickel = 7x
Amount of zinc = 2x
Amount of copper = 9x
Hence, We get;
⇒ 7x + 2x + 9x = 3.6
⇒ 18x = 3.6
⇒ x = 3.6 / 18
⇒ x = 0.2
Thus, WE get;
Amount of nickel = 7x
= 7 × 0.2
= 1.4 kg
Amount of zinc = 2x
= 2 × 0.2
= 0.4 kg
Amount of copper = 9x
= 9 × 0.2
= 1.8 kg
Learn more about the ratio visit:
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A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?
Answer:
you need 3000000 bees
Step-by-step explanation:
1kg=1000000mg.
1000000x3=3000000
hope this helps, have a good day :)
The first step in calculating your net worth is ___
A listing your assests
B listing your liabilities
C totalling your assests
D subtracting your assests from your liabilities
Answer:
A
Step-by-step explanation:
a) A graph is drawn below.
Explain how you know that y is not directly proportional to x.
Answer:
Because the line doesn’t start at 0 and that shows that y is not proportional to x.
Step-by-step explanation:
That is all you have to write
A graph can show direct, inverse and joint proportions.
y is not directly proportional to x because the graph does not pass through the origin
From the graph, we can see that:
When x = 0, y > 0
i.e. y is greater than 0, when x equals 0
This means that, the equation of the graph is:
[tex]\mathbf{y = mx + b}[/tex], where b > 0
A proportional equation is represented as:
[tex]\mathbf{y = mx}[/tex]
Hence, y is not directly proportional to x because the graph does not start from the origin
Read more about proportional graphs at:
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2. Simplify.
–48
O A. 4213
OB. -4213
O C.-4v3
OD. 4V3
4/10 is the sum of two of which fraction
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Cancel the common factor of 4 and 10 .
Solve. Look at the picture
Answer:
49
Step-by-step explanation:
What is the length of the missing side?
6 ft
7 ft
Answer:
9.21954446 (but round to what ever place is required)
Step-by-step explanation:
Use the Pythagorean theorem
a^2+b^2=c^2
6^2+7^2=c^2
36+49=c^2
85=c^2
c=9.21954446
round to what ever place you need
Work out the length of AB give your answer to 3 significant figures A 1.7 B 10.3
Answer:
17.5
Step-by-step explanation:
n/a
Allison, Molly, and Connor had a challenge to see who could run the most in one day. Allison ran 2 miles. Molly ran 4 times as many miles as Allison, and Connor ran 3 times as many miles as Molly. How many miles did Connor run?
Answer:
12 miles
Step-by-step explanation:
Allison 2 miles
Molly , (2 times the miles of Allison so 2x2 is 4. so she ran) [4 miles]
Connor (3 times the miles of Molly so 4x3 is 12. so he ran) [ 12 miles}
Which technique is most appropriate to solve this equation?
x2 + 6= 31
Question 2 options:
quadratic formula
zero product property
square root property
Answer:
Square root property
Step-by-step explanation:
The given equation is :
[tex]x^2+6=31[/tex]
We need to write the most appropriated technique to solve the above equation.
Subtracting both sides of the above equation by 6 such that,
[tex]x^2+6-6=31-6\\\\x^2=25[/tex]
Now taking square root on both sides we get :
[tex]x=\sqrt{25}[/tex]
The square root property is used here, such that the value of x is :
[tex]x=\pm 5[/tex]
YOU WILL GET BRAINLIST PLEASE HELP
The mean of four numbers is 25. Three of the four numbers are 20, 26, and 26. What is the fourth number?
Answer:
28 hope this helped
Step-by-step explanation:
20+26+26=72
72+28=100
100/4=25
let the number be X
20 + 26 + 26 + X /4 = 25
72 + X /4 = 25
cross multiply
72 + X = 25*4
72 + X = 100
X = 100.- 72 = 28
X = 28
proof
20 + 26 + 26 +28 / 5 = 25
I hope it will help. can I have braainlest
This is the question?
Answer:
15 ???
think just tryin to help
Don't at me
in your class 6 students do not receive weekly allowance. 16 students receive $4 3 students receive $10 and 6 students receive $5. What is the mean weekly allowance?
Answer:
4
Step-by-step explanation:
Jocelyn has 6 birds. Their mean age is 10. The mode of their age is 8 . What might there ages be ??.
Subject - Math ( Mean, Median, and Mode ) PLZ write the answer correctly !! The best answer will be marked as Braintlies !!
Answer:
total ages = 60
Generally, if the mode is 8 would mean there are more than one age of 8
suppose there are two with age 8,
leaving 44 for the other 4
(11 for the average of the remaining 4)
could have 9 and 13, and 8 and 14
so we could have:
8,8,8,9,13,14
or we could have:
8,8,9,10,12,13
check:of the 1st answer
mean = (8+8+8+9+13+14)/6 = 10
the mode is 8
Step-by-step explanation:
Find the surface area of an open box with length of 12 inches, width of 7 inches, and height of 4.5 inches
Also, Good Moring
Worth 20 points
Answer:
Step-by-step explanation:
l = 12 inches
w = 7 inches
h = 4.5 inches
Surface area = lw + 2wh + 2hl
= 12*7 + 2*7*4.5 + 2*4.5*12
= 84 + 63 + 108
= 255 square inches
If it is a closed box, surface area = 2*(lw +wh + hl)
As it is open, surface area = lw + 2wh + 2hl
Down part of the box : length *width
Upper part of the box = length*width
So, for closed box, 2lw
For open box , lw
The surface area of a cylinder is 1000 square centimeters. The radius of the cylinder is four times the
height. What is the height of the cylinder?
Answer:
h = 2.82 cm
Step-by-step explanation:
[tex]surface area = 2 \pi R^{2} + 2 \pi R h\\1000 = 2 \pi (16h^{2} ) + 2 \pi (4h^{2} )\\1000 = 32 \pi h^{2} + 8\pi h^{2} \\1000 = 40 \pi h^{2} \\25 = \pi h^{2} \\\\h = \sqrt{\frac{25}{\pi} } = 2.82 cm[/tex]
If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth test for a 90 average?
hannah made 0.7 of her free throws in a basketball game.abbrahmade 9/10 of her free throws.dinah made 3/4 of her free throws. who is the best shooter. EXPLAIN!!
Answer:
Abbrah is the best shooter.
Step-by-step explanation:
Hannah made 0.7 which is equal to 70 out of 100 shots.
Dinah made 3/4 which is equal to 75 out of 100 shots.
Abbrah made 9/10 shots which is equal to 90 out of 100 shots.
Answer:
Abbrah is the best shooter
Step-by-step explanation:
The chart below shows the distribution of weeds in a yard.
A circle graph titled Lawn weeds. The largest proportion is crab grass, then dandelion, then clover, then chickweed.
A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.
Weed Type
Number
Dandelion
2
Clover
3
Crab Grass
2
Chickweed
2
Which explains whether or not this is a representative sample?
Yes, this is a representative sample because each type of weed is represented in the sample.
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.
Answer:
Its c,No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A small pouch contains 8 black marbles,5 white marbles, and 12 red marbles. Find the probability of picking a red then a black marble if you do not replace the first marble.
Answer:
4/25
Step-by-step explanation:
Total amount of marbles: 8 + 5 + 12 = 25
With 25 marbles, the probability of picking a red is: 12/25
After 1 red marble is removed, the probability of picking a black is: 8/24 = 1/3
Then, the probability of picking a red then a black marble if you do not replace the first marble is: 12/25 * 1/3 = 4/25
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
3y - 9x = -6
5y - 15x = -10
A. More than 1 solution
O B. x = -15, y = 5
O C. X=-9, y = 3
O D. No solution
SUBMIT
Answer:
Infinite
Step-by-step explanation:
Here are a system of how two equations can be classified ;
• If the gradients are the same but the y-intercepts are different, the system has no solution.
• If the gradients are different, the system has one solution.
• If the gradients are the same and the y-intercepts are the same, the system has infinitely many solutions.
Here is the proof.
3y - 9x = -6
5y - 15x = -10
In
3y - 9x = -6
When x =1
y= 1
When x=3
y= 7
Gradient of 3y - 9x = -6
=∆y/∆x
= (7-1)/ ( 3-1)
=(6)÷ 2
= 3
5y - 15x = -10
When x= 1
y = 1
When x=3
Y=7
Gradient of 5y - 15x = -10
=∆y/∆x
= (7-1)/ ( 3-1)
=(6)÷ 2
= 3
Since the gradients are the same the system has infinitely many solutions.
does anyone know this
Answer:
x = 12.24
Step-by-step explanation:
In any circle the following ratio can be used.
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{x}{360}[/tex] , substitute values
[tex]\frac{1.88}{2(8.8)\pi }[/tex] = [tex]\frac{x}{360}[/tex] ( cross- multiply )
17.6π x = 276.8 ( divide both sides by 17.6π )
x = [tex]\frac{276.8}{17.6\pi }[/tex] ≈ 12.24
Answer:
12.24°
Step-by-step explanation:
I hope it helps :)
The baseball diamond at a playground is a square with sides that measure 90 feet, About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth
A 127.3 feet
B 180 feet
C 90 feet
D 16,200 feet
Answer:
A straight line from home plate to second base would have distance:
D = sqrt(2 x 90^2) = 127.3 feet
=> Option A is correct
Hope this helps!
:)
The distance from the home plate to second base in a straight line is required.
The required distance is option A 127.3 feet.
SquareA baseball field is in the shape of a square this means that all corners have the angle [tex]90^{\circ}[/tex]
So, two sides of the square can act as legs of a right triangle and the diagonal can act as the hypotenuse.
A straight line between the home plate and second base would be the diagonal of the square.
The length of each side of the square is 90 feet.
Applying the Pythagoras theorem
[tex]d=\sqrt{90^2+90^2}\\\Rightarrow d=90\sqrt{2}\\\Rightarrow d=127.279\approx 127.3\ \text{feet}[/tex]
Learn more about squares:
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