Answer:
The equation of the line that passes through the given points is ;
7y = -x + 12
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general equation form
is;
y = mx + b
where m is the slope and b is the y-intercept
Now, let us substitute the x and y coordinate values of each of the points;
for (-2,2); we have
2 = -2m + b
b = 2m + 2 •••••(i)
for F;
1 = 5m + b
b = 1-5m ••••••(ii)
Equate both b
1-5m = 2m + 2
1-2 = 2m + 5m
7m = -1
m = -1/7
Recall;
b = 2m + 2
b = 2(-1/7) + 2
b = -2/7 + 2
b = (-2 + 14)/7 = 12/7
The equation of the line is thus;
y = -1/7x + 12/7
Multiply through by 7
7y = -x + 12
Find the area of the trapezoid
Answer:
42 square units
Step-by-step explanation:
Each square on the grid is 2 units by 2 units.
Bases: OC = 10; SK = 4
Height: OS = 6
area = (b1 + b2)h/2
area = (10 + 4)(6)/2
area = 42
Answer: 42 square units
Answer:
The area of trapezoid is 42 square unit.
Step-by-step explanation:
According to the question
A trapezoid which is consist of many square shapes and each grid square equals 2 units . We need to find the area of trapezoid.
To calculate the area of trapezoid we have given :-
Base ; SK = 4 and OC = 10Height ; OS = 6Formula for finding area of trapezoid is ½ × (Base 1 + Base 2) × Height .Finding the area of trapezoid :-
Area of trapezoid = ½ × ( 4 + 10 ) × 6
Add 4 and 10.Area of trapezoid = ½ × 14 × 6
Multiply 14 by 10.Area of trapezoid = ½ × 84
Divide by 2.Area of trapezoid = 42
Hence,
The area of trapezoid is 42 square unit.
The sum of two numbers is 37 . The smaller number is 15 less than the larger number. What are the numbers?
Answer:
11 and 26
Step-by-step explanation:
x+x-15=37
x+x-15+15=37+15
x+x=52
2x=52
2x÷2=52÷2
x=26
26+26-15=37
37=37
why why why do i have to watch ads
Answer:
Because you didnt pay for brainly.
If you do, no adds :D
Its a lot easier to be honest
Answer: Because the advertisements are corporations' way of making a market with the internet. They pay a fee to have their adds placed on sites and above videos, and by watching them, that generates revenue for the content creator and the hosting domain itself.
you welcome
Step-by-step explanation:
how do you solve this ?
Answer:
x = 37 mm
Step-by-step explanation:
using the Pythagorean theorem:
m² = 13² - 5² = 169 - 25 = 144
m = √144 = 12 mm
x² = 12² + 35² = 144 + 1225 = 1369
x = √1369 = 37 mm
Answer:
x=37.3
Step-by-step explanation:
Since we're looking for "x" we need to use "the Pythagorean theorem".
13mm will be our "A" and 35mm will be our "B" will "x" being the hypotenuse.
Since x is the hypotenuse, it needs to be a number greater than 13 and 35.
c=√(a² + b²)
Making it c=√(13² + 35²)
Making C=37.336 or 37.3
Therefore making, x=37.3
Write your answer in simplest form 11/12- 3/4
Answer: 1/6 is its simplest form :)
Part A is already answered
Part B asks: What is the length of the hypotenuse?
Answer:
52
Step-by-step explanation:
Using the Pythagorean theorem
a^2+b^2 = c^2
20^2 + 48^2 = c^2
400 +2304=c^2
2704=c^2
Taking the square root of each side
sqrt(2704) = sqrt(c^2)
52 = c
Answer:
[tex]hypotenuse^{2}[/tex] = [tex]altitude^{2}[/tex] + [tex]base^{2}[/tex]
[tex]hyp^{2}[/tex] = [tex]48^{2}[/tex] + [tex]20^{2}[/tex]
= 2304 + 400
= 2704
∴[tex]hyp[/tex] = [tex]\sqrt{2704}[/tex]
= 52
hope this answer helps you....
2/5+3/6 GETS BRAINLIEST
Answer:
27/30
Step-by-step explanation:
yepyffghhhhgghjj
Answer:
9/10 or 0.9
Step-by-step explanation:
When adding fractions, you look at each of them as an equal number, or a whole.
25+36
91
So, now all we have to do is convert it to it's closest form. (In tenths, since we are adding tenths.)
90
And it would be 9/10, or 0.9
Hope this helps!
The equation for the rollercoaster before is f(x)=-0.2x^2-2x
Find the vertex algebraically
Hint: x=-b/2a
??? The answer is not able to be found for the fact that there are 3 numbers all coming from x.
will mark brainliest also its not 6 and 5
The linear graph shows the possible combinations of cakes and pies a club must sell to meet their fundraising goal. What is the domain of the graph? A) {x: 0 < x < 40} B) {x: 0 ≤ x ≤ 40} C) {x: 0 < x < 20} D) {x: 0 ≤ x ≤ 20}
Answer:
[tex]\{x: 0 \le x \le 40 \}[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
The domain of the graph
To do this, we simply write out the range of value of the x-coordinate.
From the attached graph, the x values are:
[tex]x = [0,40][/tex] i.e. from 0 to 40 (both inclusive)
So, the domain is:
[tex]\{x: 0 \le x \le 40 \}[/tex]
how do you solve for the x ?
Answer:
x = -8
Step-by-step explanation:
these angles are vertical, therefore they are equal
x + 78 = 70
x = -8
What is a volume of this composite solid?
Shape a = 6 x 4 x 3 = 72
Shape b = 4 x 4 x 4 = 64
72 + 64 = 136
A
Answer:
A
Step-by-step explanation:
Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select ALL the equations that represent this situation. *
Answer:
Equation b and c represent the situation.
What's the number between 1.35 and 1.351
Answer: + 1000
Step-by-step explanation:
Theater tickets are marked down 15%. How much are the tickets if they originally cost $55?
HELP ASAP
44/15 converted into a mixed number (convert a fraction into a decimal before converting it into a mixed number)
Answer:
2 14/15
Step-by-step explanation:
44/15= 2.9333333333333
2.9333333333333= 2 14/15
Which event is less likely to occur:
Event A: The product of the numbers 2 dice land on being less than 11. (Hint: the
product is when you multiply 2 numbers together).
Event B: Selecting a number at random from 1-30, inclusive, which has at least one
digit being 2.
Answer:
event a because you have more out comed multiplying numbers than a set of numbers
Need help on this one too
Answer:
sin(θ)=4√41/41
cos(θ)=5√41/41
tan(θ)=4/5
cot(θ)=5/4
sec(θ)=√41/5
csc(θ)=√41/4
Step-by-step explanation:
I NEED HELP
Please write the right answer
Your portfolio must include a minimum of the following five types of equations and solutions:
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable. Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend!
This is a total of 7 equations and solutions.
Answer:
1). (x - 4 = 13)
2). (r + 17 = 51)
3). (7/9x =28)
4). (2/3x = 2)
5). { 3(x-2) = -9 }
6). (x -1.75 = 8.85)
7). Natalie buys organic almonds priced at $77 from the grocery store. How much did
she pay the cashier, if she received $23 in change?
Step-by-step explanation:
1. add 4 on both sides and it will be x=17
2. subtract 17 on both sides and it will be x= 34
3. multiply 9/7 on both sides and it will be x= 257/7 then you divide 257 by 7 then the final answer will be x= 36
4. multiply 3/2 on both sides and it will be x=6/2 then you divide 6 from 2 and the finial answer will be x= 3
5. you will distribute 3 into x and 2 and you will be 3x-6=-9 then you will add 6 on both sides so you will get 3x=3 and then divide 3 on both side so you will get x=1
6. add 1.75 on both sides so x= 10.6
7. the equation will be 23 +x = 77 so first you will subtract 23 on both sides and x will equal 54 so Natalie paid $54
Answer:
i'm taking that test rn
Step-by-step explanation:
what are three ways you can solve a proportion?
Answer:
horizontal
vertical
diagonal
Step-by-step explanation:
I guess I only know those.hope it helps you
What is the simple interest on $4,000 for 2 and a half years at 4 percent a year?
Answer:
Step-by-step explanation:
You can't receive money if you withdraw in the midst of a year.
So 4000 * 1/25 * 2 = $4320
Alicia bought a new game that was 15% off. The discount took 4.65. What was the original price of the shirt?
Answer:
If 31 is a option I would pick it.
Step-by-step explanation:
The problem we are solving is:
15% of ____ is 4.65.
This means that 0.15 x ? = 4.65
So ? = 4.65 / 0.15
Therefore ? = 31.
So the original number is 31.
Martin drew a triangle. Its sides were
3
cm
3 cm3, start text, space, c, m, end text,
4
cm
4 cm4, start text, space, c, m, end text, and
5
cm
5 cm5, start text, space, c, m, end text.
It has one right angle and two acute angles.
Answer:
It is a right triangle
Step-by-step explanation:
Complete question
Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle is ----- and ------ .
First you must know that for a triangle to be right angled, the square of the largest side must be equal to the sum of the square of the other two sides
Given
Largest side c = 5
Other sides a = 3 and b=4
Square of largest side c² =5²=25
Sun of the squares of other two sides = a²+b²
Sum of the squares of other two sides =3²+4²
Sum of the squares of other two sides = 9+16 =25
Since c² =a²+b² according to pythagoras theorem, hence the triangle is right angled
Solve by completing the square.
x2 - 4x – 20 = 0
A. x = {-2±6√2}
B. x = {2+6√2}
C. x = {2+2√6}
D. x = {-2±2√6}
Show your work.
Step-by-step explanation:
Subtract
20
from both sides of the equation.
x
2
−
4
x
=
−
20
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
−
2
)
2
Add the term to each side of the equation.
x
2
−
4
x
+
(
−
2
)
2
=
−
20
+
(
−
2
)
2
Simplify the equation.
Tap for more steps...
x
2
−
4
x
+
4
=
−
16
Factor the perfect trinomial square into
(
x
−
2
)
2
.
(
x
−
2
)
2
=
−
16
Solve the equation for
x
.
Tap for more steps...
x
=
2
±
4
i
What is the value of x in the equation below?
12 – 2(x-1)=6
Figure 222 is a scaled copy of Figure 111.
Identify the side in Figure 222 that corresponds to side \overline{CD}
CD
start overline, C, D, end overline in Figure 111.
Answer:
if im corect the anwser is 3.14 (Side note) this is the wrong question i was anwsering to
math because im very bad at it
help, please Ill mark brainliest!
Answer:
the answers are 12.5, 5, 2, 0.8 and 0.32
Step-by-step explanation:
2(0.4)^-2
=2(6.25)
= 12.5
2(0.4)^-1
= 2(2.5)
=5
2(0.4)^0
=2(1)
=2
2(0.4)^1
=2(0.4)
=0.8
2(0.4)^2
=2(0.16)
=0.32
Independent Practice
Which property justifies the step shown in solving this equation? − y−5=11
−y−5+5=11+5
A.
Multiplication Property of Equality
B.
Addition Property of Equality
C.
Subtraction Property of Equality
D.
Division Property of Equality
Answer:
B. Addition Property of Equality
Step-by-step explanation:
B addition property of equality
A feeder at the zoo in shape of a cone has a radius of 3 inches. It holds about 113.04 cubic inches of food. Approximate its height to the nearest inch. Use 3.14 to approximate the value of pie.
Answer:
12 inches
Step-by-step explanation: