Answer:
y = 2x - 3
Step-by-step explanation:
Take any two points from the graph
(0,-3) & (2 ,1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{1-[-3]}{2-0}\\\\= \frac{1+3}{2}\\\\= \frac{4}{2}\\\\= 2[/tex]
m = 2
[tex]y - y_{1}=m(x -x_{1})\\\\y - [-3] = 2(x - 0)\\\\y + 3 = 2x\\\\y = 2x - 3[/tex]
Solve using the quadratic formula
2x^2+x+67=0
Answer:
[tex]\displaystyle x=\frac{-1 \pm i\sqrt{535}}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Multiple RootsStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]Algebra II
Imaginary Root i = √-1Step-by-step explanation:
Step 1: Define
Identify
2x² + x + 67 = 0
a = 2
b = 1
c = 67
Step 2: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-1 \pm \sqrt{1^2-4(2)(67)}}{2(1)}[/tex]Multiply: [tex]\displaystyle x=\frac{-1 \pm \sqrt{1^2-4(2)(67)}}{2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-1 \pm \sqrt{1-4(2)(67)}}{2}[/tex][√Radical] Multiply: [tex]\displaystyle x=\frac{-1 \pm \sqrt{1-536}}{2}[/tex][√Radical] Subtract: [tex]\displaystyle x=\frac{-1 \pm \sqrt{-535}}{2}[/tex][√Radical] Simplify: [tex]\displaystyle x=\frac{-1 \pm i\sqrt{535}}{2}[/tex]Question 6 of 9 Last week, Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1 4 2 1 4 -mile path. Which expression represents the total number of miles he biked? A. 5 × ( 3 + 2 + 2 1 4 ) 5 × ( 3 + 2 + 2 1 4 ) B. 5 + ( 3 × 2 × 2 1 4 ) 5 + ( 3 × 2 × 2 1 4 ) C. 5 × ( 3 × 2 × 2 1 4 ) 5 × ( 3 × 2 × 2 1 4 ) D. 5 + ( 3 + 2 + 2 1 4 )
Answer:
A. 5 × ( 3 + 2 + 2 1/4 )
Step-by-step explanation:
Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1/4 -mile path.
The expression represents the total number of miles he biked is calculated as:
The number of times he rode his bike × (sum of the number of miles he biked)
= 5 × ( 3 mile + 2 miles + 2 1/4 miles)
= 5 × (3 + 2 + 2 1/4)
Therefore, Option A is the correct option
Find the measure of the exterior angle.
The measure of the exterior angle of the triangle is
Answer:
X = 132
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle therefore
x = 46 + 86
x = 132
Answer:
The measures of exterior angle is 132° .
Step-by-step explanation:
We know that the sum of interior angle is equal to the sum of exterior angle of triangle.
interior angle = exterior angle86° + 46 ° = x
combine like terms
132° = x
Can i plz get some help been stuck for while
What is the volume of the shape shown
Answer:
Yea sure its 102.5meters squared
If you apply the changes below to the cubic parent function, F(x)=x3, what is the equation of the new function if it reflects across the y-axis and vertically stretches by multiplying by 7
Answer:
g(x) = 7(-x)³
Step-by-step explanation:
The cubic parent function is given as; f(x) = x³
Now, we are told that it reflects across the y-axis. This means that the new function will take the form;
g(x) = f(-x)
Thus, the new function is;
g(x) = (-x)³
Now,we are told that this new function stretches by multiplying by 7. Thus, we now have;
g(x) = 7(-x)³
What is the remainder when x^3-8x^2+20x-16 is divided by x+2?
Answer:
(x - 4)(x - 2)²
Step-by-step explanation:
x³ - 8x² + 20x - 16
x³ - 4x² + 4x - 4x² + 16x - 16
x(x² - 4x + 4) - 4(x² - 4x + 4)
(x - 4)(x² - 4x + 4)
(x - 4)(x² - 2x - 2x + 4)
(x - 4)(x(x - 2) - 2(x - 2))
(x - 4)(x - 2)(x - 2)
(x - 4)(x - 2)²
(x - 4)(x - 2)²
Answer:
-96
Step-by-step explanation:
x+2=0 take 2 to the other side which will be -2
the -2 you sub it into the quotient and calculate
PLEASE HELP QUICK
graph and show work and i will give 30 points
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
7/20
Step-by-step explanation:
Take the time for history assignment and subtract the time for her English assignment
3/5 - 1/4
Get a common denominator of 20
3/5 *4/4 = 12/20
1/4 * 5/5 = 5/20
12/20- 5/20
7/20
Plot the points A(3, 10), B(-3,5) and C(-1,-6) on the graph paper. Join them in pairs and identify the figure so formed.
9514 1404 393
Answer:
obtuse scalene triangle
Step-by-step explanation:
Connecting 3 points will make a triangle. The sides are different lengths, and the largest angle is more than 90°. The figure is an obtuse scalene triangle.
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Ciara is naking a new outfit she needs 2 1/2 yards of the fabric for the shawl and 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric,how much more does she needs?If the dance outfit is charged at $16 per yard how much will the dance outfit cost
Answer:
1 1/4 yards
$20
Step-by-step explanation:
The amount of fabric more that she needs can be determined by subtracting the sum of the yards needed for the shawl and the dress from the fabric she has
sum of the yards needed for the shawl and the dress =
[tex]2\frac{1}{2} + 1\frac{3}{4}[/tex]
[tex]3\frac{2 + 3}{4}[/tex] = [tex]3\frac{5}{4}[/tex] = [tex]4\frac{1}{4}[/tex]
Yards needed
[tex]4\frac{1}{4} - 3[/tex] = [tex]1\frac{1}{4}[/tex]
cost of dance outfit = $16 x [tex]1\frac{1}{4}[/tex]
[tex]\frac{5}{4}[/tex] × $16 = $20
Calculate the length of AC, to the nearest tenth of a centimeter.
Answer:
AC ≈ 11.0 cm
Step-by-step explanation:
Using Pythagoras' identity in Δ CDE and Δ ADE
CE² + DE² = DC²
CE² + 7² = 8²
CE² + 49 = 64 ( subtract 49 from both sides )
CE² = 15 ( take the square root of both sides )
CE = [tex]\sqrt{15}[/tex]
-------------------------------------------------------
AE² + DE² = DA²
AE² + 7² = 10²
AE² + 49 = 100 ( subtract 49 from both sides )
AE² = 51 ( take the square root of both sides )
AE = [tex]\sqrt{51}[/tex]
Then
AC = AE + CE = [tex]\sqrt{15}[/tex] + [tex]\sqrt{51}[/tex] ≈ 11.0 cm ( to the nearest tenth )
Please help me, the answer is v=24, but I need working out
Answer:
v=24
Step-by-step explanation:
V= 3[tex]\sqrt{10^{2} - 6^{2} }[/tex]
V= 3[tex]\sqrt{100-36}[/tex]
V= 3[tex]\sqrt{64}[/tex]
V= 3×8
V= 24
A car can travel 76 miles on 4 gallons of gasoline. How far can it travel on 8
gallons?
Answer:
152 gallons
Step-by-step explanation:
76÷4=19
19x8=152
Answer:
152 miles
Step-by-step explanation:
76 x 2 = 152
May I please have help ?! Thanks ❤️
The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.
Answer:
C = 4 pi ft
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
Solving for r
4 pi = pi r^2
Dividing each side by pi
4 = r^2
Taking the square root of each side
sqrt(4) = sqrt(r^2)
2 = r
Now we can find the circumference
C = 2 * pi *r
C = 2*pi*2
C = 4 pi ft
i need help pls help
Answer:
33/20
Step-by-step explanation:
I dont know if that was a minus or a plus but it looked like a minus sorry if its wrong
Answer:
0.475
Step-by-step explanation:
It makes it easier for people to turn fraction to decimal.
So, 1/4 in decimal is 0.25.
1.9•0.25=0.475
Sorry if I'm wrong I'm in 8 grade I learned it in this year
What is the approximate measure of the leg opposite of angle A???
Answer:
8.7 cm
Step-by-step explanation:
take 60 degree as reference angle
using sin rule
sin 60=opposite/hypotenuse
[tex]\frac{\sqrt{3} }{2}[/tex]=opposite/10
[tex]\frac{\sqrt{3} }{2} * 10[/tex]=opposite
[tex]\sqrt{3} *5[/tex] = opposite
[tex]5\sqrt{3}[/tex] =opposite
8.66=opposite
8.7 =opposite
First, Diana scores 12 points in total with three arrows. On her second turn, she scores 15 points. How many points does she score on her third turn?
Answer:
Third turn point = 21 points
Step-by-step explanation:
Given:
First turn point = 12
Second turn point = 15
Find;
Third turn point
Computation:
First turn point = 12
Assume;
Point for outer circle = a
Point for inner circle = b
So,
3a = 12
Point for outer circle = 4 point
Second turn point = 15
So,
2a + b = 15
2(4) + b = 15
Point for inner circle = 7
Third turn point = 3 x 7
Third turn point = 21 points
Please hurry
Find the value of cos P rounded to the nearest hundredth, if necessary
Answer:
cosP = 4/5
Step-by-step explanation:
cosP= b/h = b/√(b²+p²) = 24(√(24²+18²)= 24/30= 4/5
Fill in the blank. In the triangle below, x=__. Round your answer to two decimal places.
Given:
The figure of a right triangle.
To find:
The value of x.
Solution:
In a right triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given right angle triangle,
[tex]\tan 52^\circ=\dfrac{x}{35}[/tex]
[tex]1.2799\times 35=x[/tex]
[tex]44.7965=x[/tex]
Approximate the value to two decimal places.
[tex]x\approx 44.80[/tex]
Therefore, the value of x is about 44.80 units.
The difference of two positive numbers is 14. The larger is twice the smaller decreased by 4. Find the two numbers.
X (smaller value)
X (larger value)
Answer:
the answer is given on the picture
BRAINILEST PLZZZZZzzzzz
Answer:
Base:3
Height:5
Area= 15
Step-by-step explanation:
Formula=BxH
3x5=15
Which of the following expressions is equivalent to the one shown below? (4^3)5 A. 49 B. 42 C. 48 O D. 415
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{(4^3)(5)}[/tex]
[tex]\mathsf{4^3}[/tex]
[tex]\mathsf{= 4 \times 4\times 4}[/tex]
[tex]\mathsf{= 16 \times 4}[/tex]
[tex]\mathsf{= \bf 64}[/tex]
[tex]\mathsf{64(5)}[/tex]
[tex]\mathsf{= \bf 320}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 320}\huge\textsf{ (NONE of the ABOVE)}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
the person below isn't giving the right answer choice did you ever get the answer for this question please comment me the answer cuz they clearly don't see the answer choice
what's the length of each side using the Pythagorean theorem, round to the nearest hundredth if necessary. Will give brainliest
Answer:
X.2 y C 5
Step-by-step explanation:
the dots please
not sure how to do this one! will mark brainliest
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]-\frac{12}{16} + \frac{11}{12}[/tex]
take lcm of the denominator
lcm=48
[tex]\frac{-12*3 + 11*4}{48}[/tex]
[tex]\frac{-36 + 44}{48}[/tex]
[tex]\frac{8}{48}[/tex]
[tex]\frac{1}{6}[/tex]
Answer:
[tex]=\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]-\frac{12}{16}+\frac{11}{12}[/tex]
the lcm of 16 and 12 is 48
[tex]-\frac{12}{16} =-\frac{36}{48}[/tex]
[tex]\frac{11}{12} =\frac{44}{48}[/tex]
[tex]-\frac{36}{48} +\frac{44}{48}=\frac{8}{48}[/tex]
[tex]=\frac{1}{6}[/tex]
Hope this helps
quadratic formula?
2x^2-4x+2=0
A. 1
B. -4
C. 6
D. -2
E. 2
Jacob buys 8 copies of a book for presents for friends. It costs her a total of $119.60. Write an equation that can be used to find out how much each book, b, was sold for.
Answer:
8b=119.60
Step-by-step explanation:
8b=119.60
B=14.95
What is the perimeter of the parallelogram???
which is the correct classification square root of 32?
Answer:
5.65
Step-by-step explanation:
But if you need to round it would be 6.
Hope this helps!
Good Luck!