Answer:
(1,0)
Step-by-step explanation:
Hi there!
We want to find the x intercept of the line that passes through the point (3,4) and has a slope of 2
First, let's find the line
We are given both a slope, and a point. We can write the equation of the line in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
We do have everything needed to write the equation, let's just label everything to avoid confusion:
m=2
[tex]x_1=3[/tex]
[tex]y_1[/tex]=4
Now substitute those values as the variables that they represent into the equation:
[tex]y-y_1=m(x-x_1)[/tex]
y-4=2(x-3)
Now we have the equation in slope-point form
The x intercept of the line is the value in which the line passes through the x axis. The value of y at this point is 0
So we can substitute y as 0 in the equation to find out the value of x:
y-4=2(x-3)
0-4=2(x-3)
Multiply
0-4=2x-6
Add 6 to both sides
0+2=2x
Simplify the left
2=2x
Divide both sides by 2
1=x
So the value of the x intercept is 1, also written as the point (1,0)
Hope this helps!
[tex] \frac{2 + 3i}{3 + 4i} [/tex]
find the value quickly
[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]
[tex]=\frac{6-8i+9i+12}{25} [/tex]
[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]
[tex]=\frac{18+i}{25} [/tex]
[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]
_______
Hope it helps :) ⚜
Write 49 as a product of primes
Answer:
7×7 = 49
Step-by-step explanation:
7 is a prime number. 7×7= 49 (product of primes)
Bruno and Willie need a total of $50,000 to start an accounting business. Bruno has spent a lot of time getting the business set up, so Willie agrees to contribute $12,000 more than Bruno. How much money will Willie contribute?
The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.
Let amount contributed by Willie be x
Let amount contributed by Bruno be y
Since Willie agreed to contribute $12,000 more than Bruno;
Therefore;
x - y = 12000....…....... equation (1)x + y = 50,000...…....... equation (2)By solving the system of equations simultaneously;
2x = 62000x = 31000and y = 50,000 - 31000y = 19,000In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.
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Is that the right answer
Answer:
Yes
Step-by-step explanation:
Loss=(C.P)-(S.P)
C.P= x and S.P= y
Loss= x-y
Loss= $(x-y)
What is the answer to this question?
Answer:
x = 1/5
Step-by-step explanation:
yeah-ya........ right?
x m 1,5 m and 1,5 m
x² = (1,5)² + (1,5)²
x² = 2,25 + 2,25
x² = 4,5
x = 2,1m
[tex]\bold{\underline{Solution : -}}[/tex]
[tex]\sf a^2 + b^2 = c^2[/tex][tex]\sf x^2 = (1.5)^2 + (1.5)^2 [/tex]
[tex]\sf x^2 = 2.25 + 2.25 [/tex]
[tex]\sf x^2 = 4.5 [/tex]
[tex]\sf x = \sqrt{4.5} \approx 2.1[/tex]
Select all the parallelograms.
Step-by-step explanation: In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Whoever answers in simplest form gets brainliest, 5 stars, and a thanks. Please help asap.
Answer:
18.725
Step-by-step explanation:
4 5/8 = (4*8 + 5) /8 = 37/8
10 7/10 = (10*10 + 7) / 10 = 107/10
3 2/5 = (3*5 + 2) / 5 = 17/5
lcm of 8, 10, 5 is 40
37/8 + 107/10 - 17/5
= (37*5 + 107*4 - 17*8) / 40
= (185 + 428 + 136) / 40
= 749/40
= 18.725
What is the measure of
Answer:
∠ ABC = 108°
Step-by-step explanation:
The 2 given angles are vertically opposite and are congruent , that is
4x + 8 = 3x + 33 ( subtract 3x from both sides )
x + 8 = 33 ( subtract 8 from both sides )
x = 25
Then
∠ ABC = 3x + 33 = 3(25) + 33 = 75 + 33 = 108°
Can someone please help? I'll give brainliest if correct
Answer:
vertex = (7, - 2 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = x² - 14x + 47
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 14x
y = x² + 2(- 7)x + 49 - 49 + 47
= (x - 7)² - 2 ← in vertex form
with vertex = (7, - 2 )
How many sides do 1 quadrilateral, 5 hexagons, and 1 heptagon have in all?
Answer:
Pentagon - 5 sides = 5 x 4 = 20
Hexagon - 6 sides = 6 x 5 = 30
Nanagon - 9 sides = 9
20 + 30 + 9 = 59 IN TOTAL
Step-by-step explanation:
In quadrilateral ABDC, AB // CD. Which additional piece of information is needed to determine that ABDC is a parallelogram? overline AB cong overline CD O overline AC cong overline BD OAB overline AB perp overline BD; overline CD perp overline BD
Answer:
AC is parallel to BD
Step-by-step explanation:
A parallelogram is a quadrilateral with two pairs of parallel sides.
what is the value of 8^-1/3
Answer:
2
Step-by-step explanation:
cube root of 8
The system of equations below form a line and a parabola. Select all possible solutions to this system from the answer choices below.
2 + y = 5
2? + y = 11
A(-2,7)
B(7,2)
C(3,2)
D(2,3)
ח
F(5,0)
Answer:
B dude also also watch out the jews are coming
The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?
A graph titled Brenda's Monthly Cell Phone Bill has hours used on the x-axis and cell phone bill (dollars) on the y-axis. Points plotted are (1, 27), (2, 39), and (3, 51).
Answer: Well all you have to do Is find the Rise over run.
Step-by-step explanation:
Then you will have your answer :)
Answer:
Step-by-step explanation:
12
Why is it possible for condition means to differ at the end of an experiment even if the independent variable had no effect
Pls help me on this
Answer:
I don't understand anything. if I was know of course I will help you
A sandwich store charges a $10 delivery fee,and $4.50 for each sandwich.
a. Graph the total cost of sandwiches and delivery based on the number of sandwiches ordered. let x represent the number of sandwiches and y represent the total cost. Be sure to label your axes and scale them by labeling each grid line with a number.
PLEASE PLEASE PLEASE answer this i need to get a good grade on my test its worth 70% of my grade.
The required graph shows equation y = 10 + 4.50x which represents the total cost of sandwiches and delivery based on the number of sandwiches ordered.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Let x represent the number of sandwiches and y represent the total cost.
Here is a graph of this equation:
y = 10 + 4.50x
This graph shows that the total cost of sandwiches and delivery is a straight line that increases by $4.50 for each additional sandwich ordered. The $10 delivery fee is the y-intercept of the line, which is the point where the line crosses the y-axis (when x = 0).
The slope of the line is 4.50, which indicates the change in the total cost for each unit change in the number of sandwiches.
Learn more about the graphs here:
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What is 6 percent of 435000
Answer:
26,100
Step-by-step explanation:
[Given] 6 percent of 435000
[6% as a decimal] 0.06 of 435000
[Multiply] 26,100
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
it's rise/run 3/2
Step-by-step explanation:
you rise positive 3 and run 2
How would I graph this?: 3x + 9y = −18
Answer:
take value of x as 0 so
9y=-18 y =-18/9
y=-2
(0,-2)
same take y equal 0
Which student used the correct steps to construct rhombus PQRS?
Answer:
Student 1
Step-by-step explanation:
In order to accomplish the next step of construction PS║QR, the angle LQM must be copied to make angle NPT. That is done by drawing arc NT (centered at P) so it has the same (chord) length as arc LM.
This step is only accomplished by Student 1.
Noir drove from the Dead Sea up to Amman, and her altitude increased at a constant rate. When she began driving her altitude was 400 meters below sea level. When she arrived in Amman 2 hours later, her altitude was 1000 meters above sea level. Let y represent noir’s altitude in meters relative to sea level after x hours.
Answer:
y(x) = -400 m + (700 m/hr)x
Step-by-step explanation:
Let y = 0 represent sea level. Noir's initial altitude was -400 m. In two hours she went from -400 m to +1000 m, a positive change of 1400 m. Thus, the rate of ascent was m = slope = (change in altitude) / (change in time), or
rate of ascent = 1400/2 m/hr = 700 m/hr
Thus, an equation describing her altitude relative to sea level after x hours is
y(x) = -400 m + (700 m/hr)x, where x is the number of hours of driving completed. This formula correctly predicts the altitude after two hours:
y(2) = -400 m + (700 m/hr)(2 hr) = 1000 m above sea level.
Astore pays $927.40 for a water heater and marks the price up by 5%. What is the new price?
Answer:
$973.77
Step-by-step explanation:
$927.40 = 100%
New price = 100% + 5%
New price = 105% of 927.40
105% of 927.40 = 1.05(927.40)
1.05(927.40) = 973.77
-Chetan K
Find an expression which represents the difference when (-x+9y) is subtracted from (-6+4y)
Answer:
x - 5y - 6
Step-by-step explanation:
- 6 + 4y - ( - x + 9y) ← distribute parenthesis by - 1
= - 6 + 4y + x - 9y ← collect like terms
= x - 5y - 6
Tahap risiko unit amanah?
Step-by-step explanation:
Tahap risiko unit amanah?
Help it’s confusing please
Answer:
She had $150 in the beginning before she bought the swimming items.
Step-by-step explanation:
You have the right numbers for the equation but you also times the money she had in total.
The equation is x-3(44)=18
44 is the total for one daughter and you times that by three to get for three duaghters.
Then you multiply -3 and 44 which is -132.
Which would be x-132=18
Now you would move -132 to the other side which would be +132 →x=18+132
x=150
800 students were surveyed to find out their favorite subject. 35% chose math. How many students chose math.
Cuál es la razón que indica el avance de un automóvil a 40000 m en 60 minutos?
La razón que indica el avance de un automóvil a 40,000m en 60 min es 666.67 m/min
Queremos obtener la razón entre la distancia avanzada por un automóvil y el tiempo en el que se avanza esta distancia.
Recordamos que:
velocidad = distancia/tiempo.
Entonces lo que calcularemos es la velocidad, en promedio, del autmóvil.
Tenemos:
distancia = 40,000mtiempo = 60minVelocidad = 40,000m/60min = 666.67 m/min
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help please will give brainliest !!!!
Answer:
a) alternate interior angles
b) vertical angles
c) corresponding angles
d) linear pair
Step-by-step explanation:
Alternate interior angles:
formed when a transversal intersects two lines on the same plane located on the inside/interior side of the parallel lines, but they're on the opposite sides these angles are congruent Example: angles D and EVertical angles:
pair of opposite angles formed by lines that intersect these angles are congruentExample: angles E and HCorresponding angles:
angles that have the same relative position, formed by a transversal intersecting two parallel lines these angles are congruent Example: angles A and ELinear pair:
pair of adjacent angles formed by two intersecting linesangles have measures that add up to 180 degreesExample: angles C and D