Answer:
-72.5 is a rational number because it can be written as a fraction.
What is the slope of the line that passes through the points (5, 1) and (2, -7)?
Answer:
m [ slope ] = 8/3
Step-by-step explanation:
What is the slope of the line that passes through the points (5, 1) and (2, -7)?
m = ∆y / ∆x
m = y₂ – y₁ / x₂ – x₁
| (5, 1) → (x₁, y₁) | (2, -7) → (x₂, y₂) |
[each coordinate will correspond (directly go to) to the variables shown]
m = (-7) – (1) / (2) – (5)
m = -8 / -3
m = 8 / 3
This means that this line has a rise of 8 and a run of 3.
Up 8 and right 3 proportionally, it would touch the opposite corners of a plane that was 8 by 3 units.
Slope can be thought of as the steepness of a line, the greater the slope, the greater the steepness.
These points are generally known as cartesian coordinates.
____________
Once you have the slope, you can back track from one of the coordinates to find the equation of the line.
Just multiply the slope by the x of either coordinate, make it opposite, and then add that to the y of that coordinate to get b [the y-intercept; where it crosses the y axis, x is always 0]
Since (2, -7) is closer to the y axis than (5, 1) it is more convenient.
In (2, -7), 2 is the x variable and -7 is the y variable.
-mx + y = (-8/3)(2) + (-7) = -16/3 + (-21/3)
21/3 is the same as 7 [so it will have a common denominator].
-16 + -21 / 3 = -37/3 = b
Thus this line has an equation of
y = mx + b
↓ ↓
y = 8/3x – 37/3.
__________________________
Or you can refer to point slope which is what is taught:
y – y₁ = m(x – x₁).
You can tell that there are some similarities to this and the slope formula.
m = ( y₂ – y₁ / x₂ – x₁ ) →
m × ( x₂ – x₁ ) =
( y₂ – y₁ / x₂ – x₁ ) × ( x₂ – x₁ )
[multiply the denominator by both sides]
m ( x₂ – x₁ ) = y₂ – y₁
[x₂, and y₂ can just be x and y since you only need the initial coordinate and slope, because the second coordinate can be anything along that line]
m ( x – x₁ ) = y – y₁ →
y – y₁ = m(x – x₁)
[symmetric property of equality]
if a = b, b = a.
Solve the equation -6 = -9 – 3x for x.
A. -2
B. -1
C. 0
D. 1
Answer:
Your answer is -1 or B
Step-by-step explanation:
This is your answer because
A: is Incorrect because, 3(-2)= -6 and -9 - -6 = -3
B: is Correct because 3(-1)= -3 and -9 - -3 = -6
C: is Incorrect because, 3(0)= 0 and -9 - 0 = -9
D: is Incorrect because, 3(1)= 3 and -9 - 3 = -12
Thus your answer is B!
2x2-12x +8=3 rounding to the nearest hundredth
Answer:
x=3/4 as fraction form.
x=0.75 as decimal form.
Step-by-step explanation:
Step 1.
2x2-12x+8=3
2x2=4
Step 2.
4-12x+8=3
4+8=12
12-12x=3
Step 3.
12-12x=3
(Subtract 12 from both sides.)
-12x=3-12
-12x=-9
Step 4.
-12x=-9 will equal:
0.75 or 3/4
But rounded up will equal 1 whole.
I hope this helps. :)
Gary bikes 3.275 kilometers.
Melissa bikes 3.24 kilometers.
Who bikes farther to get to school?
Answer:
Gary bikes farther to get to school
In a primary school the ratio of boys to girls is 6:7
for each statement write down whether it is:
Answer:
true true flase
Step-by-step explanation:
2+12×2=
31/2020 123 PM
Answer:
[tex]26[/tex]
Step-by-step explanation:
1) first, Simplify 12 × 2 to 24.
[tex]2 + 24[/tex]
2) then, Simplify 2 + 24 to 26.
[tex]26[/tex]
Therefor, the answer is 26.
Answer:
26
Step-by-step explanation:
2 + 12 = 14
14 x 2 = 26
Answer = 26
what are the base pairing rules in terms of DNA
Answer:
The rules of base pairing (or nucleotide pairing) are:
A with T: the purine adenine (A) always pairs with the pyrimidine thymine (T)
C with G: the pyrimidine cytosine (C) always pairs with the purine guanine (G)
Step-by-step explanation:
Why did Kierra get this problem marked wrong and what should correct answer be? PLS HELP ILL MARK AS BRAINLESS
Answer:
She wasnt supposed to bring down 25. She was supposed to bring down the 2 only then the 5 after which the answer would be = 201
Step-by-step explanation:
:)
Mrs. Mobley uses 5 cups of flour and two cups of sugar for her cookie dough. You use 10 cups of flour and 4 cups of sugar. Did you use the same ratio of
flour and sugar as Mrs. Mobley?
Answer:
Yes
Step-by-step explanation:
5:2 is equal to 10:8
Answer:
yes
Step-by-step explanation:The ratio of mrs.mobley is 5:2
and your ratio would still be 5:2
12 + (8 x (4 + 3) + 2) - 6
evaluate the expression plz help
Answer:
The answer is 64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
12 + (8 x (4 + 3) + 2) - 6
= 12 + ( 8 x 7 + 2 ) - 6
= 12 + ( 56 + 2 ) - 6
= 12 + 58 - 6
= 70 - 6
= 64
Please help me someone smart
Answer:
When A is positive there is a minimum vertex.
Step-by-step explanation:
When a parabola is positive the opening goes upwards. When a parabola is negative it goes downwards. The negative sign on the A coefficient means that you reflect your equation across the x-axis
Answer:
The first one.
Step-by-step explanation:
A bakery sells mocha cupcakes and chocolate cupcakes. It sold 220 cupcakes in a day, and 45% of them were chocolate. How many of the cupcakes sold that day were mocha?
Answer:
121 mocha cupcakes
Step-by-step explanation:
[tex] \frac{45}{100} \times 220 = 99 \\ 99of \: the \: cupcakes \: were \: chocolate \\ mocha \: cupcakes = 220 - 99 \\ = 121[/tex]
Answer this correctly, and you'll be awarded as brainliest.
Answer:
Possible
plz give brailiest
I need help with all theses questions
Answer:
Step-by-step explanation:
find the measure of m<N
Answer:
m<N = 10°
Step-by-step explanation:
If the vertex of the inscribied angle is in the circumference, its measure if half the measure of the arc:
[tex]m < n = \frac{mlm}{2} [/tex]
NL is the diameter of the circle, so arc NML is 180° (half the circle). We know the measure of arc NM:
[tex]mnm +mlm \: = mnml \\ 160 + mlm = 180 \\ mlm = 180 - 160 \\ mlm = 20[/tex]
So, angle N is:
[tex]m < n = 10[/tex]
what is the absolute value of the difference in dollars between the flat fees the two companies charge
Answer:
not exactly sure what the question is asking but they are all $15 dollars apart
Step-by-step explanation:
PLZ answer this question y-5 ≥ -15
Answer:
y (is less than or equal to) 3
Step-by-step explanation:
i hope this helps :)
The value of the inequality will be : y ≥ -10 .
Given ,
y-5 ≥ -15
Here,
y-5 ≥ -15
To solve the given inequality,
Take -5 from LHS to RHS of inequality,
y ≥ -15 + 5
y≥ -10
Thus the value of y will be equal to or greater than -10 .
Know more about inequality,
https://brainly.com/question/28984017
#SPJ6
Evaluate:
3³ - 8 (3)
A. 6
B. 3
C. 4
Answer:
B) 3
Step-by-step explanation:
3^3-8(3)
3*3*3-24
9*3-24
27-24
3
solve the following equation
Answer: I think it is x= 3/74
Step-by-step explanation:
Answer:
x=3/74
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
20/3x=1/2x+1/4
Step 2: Subtract 1/2x from both sides.
20/3x-1/2x=1/2x+1/4-1/2x
37/6x=1/4
Step 3: Multiply both sides by 6/37.
(6/37)*(37/6x)=(6/37)*(1/4)
x=3/74
Thus, your answer will be x=3/74.
If 2x-7y=12 and -3x+7y=-11 then find the value of the x and y
Determine whether the triangles are congruent by using transformations. Explain your reasoning.
Answer:
Step-by-step explanation:
im not sure i even tried solving it alone but i dont know the answer im sorry
What is the location of the point on the number line that is ą of the way from
A = 5 to B = 23?
A. 7
B. 8
C. 10
D. 9
PLEASEEEEE HELP WITH THIS GIVING BRAINLIEST
Answer:
Option C. Side a 1.5 inches long, side b is 2 inches long and side c is 2.5 inches long
Step-by-step explanation:
The scale factor=4:1=4/1
Scale factor=(Scale drawing)/object
4/1=6/a
4a=6
a=6/4
A=1.5 inches
4/1=8/b
4b=8
b=8/4
B= 2 inches
4/1=10/c
4c=10
c=10/4
C=2.5 inches
Therefore, side a is 1.5 inches long and side b is 2 inchea long and side c is 2.5 inches long
Answer:
C
Step-by-step explanation:
with the scale factor being 4:1 (meaning shape A is bigger then shape B by 4 times) we can divide the larger shapes dimensions by 4 to get ur answer
Uthara has 6x - 7 pairs of shoes while China has 2x + 3 pairs of shoes. To find how many more pairs of shoes does Uthara have than China?
(please answer quickly)
Answer:
4x-10
Step-by-step explanation:
[tex](6x-7)-(2x+3)=6x-7-2x-3=4x-10[/tex]
4-145 a-c, I'm honestly too lazy atm.
Answer:
6 x 3 = 18
x = 18
6 x 10 = 60
30 x 18 = 540
60/10
540/18
Step-by-step explanation:
The measures of the three interior angles of a triangle are 85°, 20°, and 75º. Determine the
measures of the three exterior angles
Answer:
The measures of the three exterior angles would be 95, 160 and 105.
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find the area bounded by the curve y= 4-× and the x- axis
This is due in 6 minutes please help
Answer:
f(x)=-2x^2+32x-114
Step-by-step explanation:
Answer:
f(x) = -2x^2 + 142
Step-by-step explanation:
f(x) = -2(x - 8)^2 + 14
f(x) = -2(x)^2 - (-2)(-8)^2 + 14
f(x) = -2x^2 - (-2)(64) + 14
f(x) = -2x^2 - (-128) + 14
f(x) = -2x^2 + 128 + 14
f(x) = -2x^2 + 142
Reasoning Solve the system of linear equations using substitution. Use pencil and paper. Which
expression would be easier to substitute into the other equation, in order to solve this problem?
Explain your reasoning.
X = 3y -9
X + 3y = 2
The solution is
(Simplify your answer. Type an ordered pair.)
Answer:
Lol I’m doing the same thing
Step-by-step explanation: