Step-by-step explanation:
We will put this in y=mx +b form so first calculate the slope
m= (-4)-(-5)/(-4)-(-6)
m= 1/2. So y= x/2. +b
Now just substitute the x and y values of either given point to calculate b
I will use (-4,-4)
-4= (1/2)(-4) +b
-4= -2 +b
b=-2
So equation is y= x/2 -2
...................................
I search it.
Answer:
Step-by-step explanation:
Equation of line in slope- y intercept form:
First find the slope.
[tex]\boxed{Slope= \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf = \dfrac{-4-[-5]}{-4-[-6]}\\\\=\dfrac{-4+5}{-4+6}\\\\=\dfrac{1}{2}[/tex]
Equation:
[tex]y =\dfrac{1}{2}x+b[/tex]
Choose any point and substitute the x and y value in the above equation.
(-6,-5)
[tex]\sf -5=\dfrac{1}{2}*(-6) + b\\\\-5 = -3+b\\\\-5+3=b\\\\-2 = b[/tex]
Equation:
[tex]y = \dfrac{1}{2}x - 2[/tex]
3 2/3 times 5 1/7 = ?/3 times ?/7 =
Answer:
is that 32 / 3 or 3^2/3 ...?
Step-by-step explanation:
if 32/3 and 51/7
then answer will be 1120/17
Each grade level at a school for magic has 289 students. There are 12-grade levels.
How many students attend the school for magic?
Answer:
3468 students
Step-by-step explanation:
289 x 12 = 3468
Question is in image below.
Answer:
√99, 9.8 repeating, π2
Step-by-step explanation:
hope this helped!
-73 + 8x = 55
and i also need to do the check
Answer:
8x=55+73
8x=128
X=128/8
X=16
Step-by-step explanation:
check:
-73+8(16)=55
-73+128=55
55=55
I hope you understand
Please Help! will give brainlest!
Answer:
[tex]\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}[/tex]
Step-by-step explanation:
we want to solve the following trigonometric equation:
[tex] \displaystyle - 2 { \sin}^{2} (\theta )+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)[/tex]
The first step of solving trigonometric equation is to rewrite the equation in terms of one trigonometric function . With Pythagorean theorem, we know that sin²x=1-cos²x . It will be helpful to rewrite the equation in terms of one trig functions. Therefore, substitute 1-cos²[tex]\theta[/tex] in the place of sin²[tex]\theta[/tex]:
[tex] \displaystyle - 2 (1 - \cos ^{2} ) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)[/tex]
simplify:
[tex] \displaystyle\implies - 2 (1 - \cos ^{2} (\theta) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies- 2 + \cos ^{2} (\theta)+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies\cos ^{2} (\theta)+ \cos( \theta) -1 = 0 [/tex]
Consider cos² [tex]\theta\implies[/tex] x. Thus,
[tex]2 {x}^{2} + x - 1 = 0[/tex]
solving the quadratic equation yields:
[tex]{x}^{} = \frac{1}{2} \\ x = - 1[/tex]
back-substitute:
[tex] \begin{cases} \cos( \theta) = \dfrac{1}{2} \\ \cos( \theta) = - 1 \end{cases} \theta \in[0,2\pi)[/tex]
take inverse trig in both sides
[tex] \implies \begin{cases} \theta = \dfrac{\pi}{3} + 2n\pi\\\theta= \frac{5\pi}{3} + 2n\pi \\ \theta = \pi + 2n\pi\end{cases} \theta \in[0,2\pi) \\\\\implies\theta= \frac{\pi}{3}+\dfrac{2n\pi}{3},\theta\in [0,2\pi)\\\text{when n=0}\\ \implies \theta = \frac{\pi}{3} \\ \text{when n=1}\\ \theta= \pi\\ \text{when n=2}\\\theta=\frac{5\pi}{ 3} [/tex]
In conclusion,
[tex]\displaystyle\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}[/tex]
Lin and Priya were working on solving this system of equations.
Lin's first move is to multiply the first equation by 3.
Priya's first move is to multiply the second equation by 2.
Explain why either move creates a new equation with the same solutions as the original equation.
Find the area of the triangle PLEASE HELP ME
Answer:
75
Step-by-step explanation:
because the formula of finding the area of a triangle is base times height divided by 2 so thatshow you get the answer, multiply 10by15 and then divide by 2
Answer:
The answer would be 75 ft ^2
Step-by-step explanation:
Step 1. Do 15x10 (which equals 150)
Step 2. Divide by 2 to get the answer of 75
Step 3. Label to get 75 ft ^2
There are 12 athletes at a track meet. How many different ways can they finish first,second, and third?
Answer:
1320
Step-by-step explanation:
12 x 11 x 10 = 1,320
Please help me
Will mark BRAINLIEST and give extra points
Answer:
Step-by-step explanation:
1 and 4 are adjacent supplementary angles. This will mean that 180-68=112
<4=112 degrees
<3 is the same as 1 which is 68 since they are vertical angles.
<2 is also 112
Answer:
2=112
3= 68
4= 112
Step-by-step explanation:
Each line adds to 180
So subtract 68 and it will give you the opposite side(2) 112
the angle across from it has tha same value so 2 and 4 are the same mesure
What is 4/25 × 2? Give your answer in its simplest form.
Answer:8/25
Step-by-step explanation: 4/25 ×2/1
Answer: hii
Exact form:
8/25
Decimal Form:
0.32
_____________________
Step-by-step explanation:
Simplify the expression.
Answer: 8/25Hopefully this helps you
- Matthew
What does the fictional account of the epidemic include that the nonfictional account does not? george washington’s feelings details about the setting dialogue between made-up characters details about yellow fever
The thing which the fictional account of the epidemic includes that the nonfictional account does not is the c, dialogue between made up characters.
What is a Fictional Account?This refers to the narration about a set of events by an author that is not real or true but is a figment of the imagination of the writer.
Hence, we can see that from the complete text, there are the details of the given text to show the differences between the fictional and non-fictional accounts which was the c, dialogue between made-up characters.
Read more about George Washington here:
https://brainly.com/question/2409724
What is the area of this triangle?
15.75 in²
31.5 in²
63 in²
Answer:
31.5 in²
Step-by-step explanation:
The area of a triangle is calculated with the following formula:
1/2*b*h (b: base, h: height)
The height of this triangle is given as 9 and base is 7
1/2*7*9 = 31.5 in²
Answer:
31.5 in²
Step-by-step explanation:
Richard and Nestor create paintings. Richard creates 40 paintings in 28 days.
Nestor creates 45 paintings in 5 weeks. Who creates paintings at a faster rate?
Show your work
Answer:
Richard
Step-by-step explanation:
28 days=4 weeks
40 paintings in 4 weeks
45 paintings in 5 weeks
Richard weekly rate: 40/4=10 paintings per week
Nestor weekly rate: 45/5=9 paintings per week
If richard's rate is 10 while nestor's is 9, richard has a faster rate
can someone answer 55 ÷ (9 - 4) ⋅ 8 for me please,
Answer:
88
Step-by-step explanation:
PE M/D A/S
55/ (9-4) *8
9-4=5
55/5*8
11*8
88
A circle with two chords is shown below. What is the value of x? Round your answer to the nearest tenth.
Numbers given are 8, 20, and 36
The theorem state that the products of the lengths of the line segments on each chord are equal. The value of x from the figure is 15.75
Intersecting chord theoremThe theorem state that the products of the lengths of the line segments on each chord are equal.
According to the given diagram;
9 * 21 = 12 * x
189 = 12x
Divide both sides by 12
12x/12 .= 189/12
x = 189/12
x = 15.75
Hence the value of x from the figure is 15.75
Learn more on Intersecting chord theorem here:https://brainly.com/question/23732231
#SPJ1
this is the question
Answer:
1.D
2.B
3.F
4.E
5.A
6.C
PLEASE HELP 30 PTS!!
Answer:
A to C is [tex]37.51\ ft[/tex]
Step-by-step explanation:
We are given an angle and the base length. Recall:
[tex]tan(x) = \frac{opposite}{adjacent}[/tex]
Add the values:
[tex]tan(15) = \frac{x}{140}[/tex]
Solve for x:
[tex]tan(15) = \frac{x}{140}\\tan(15) * 140 = x\\37.51 = x[/tex]
What is the exact value of sinA?
sinA=
Answer:
Step-by-step explanation:
If the volume of the right prism shown is 27 ft3, then h = __feet.
Answer:
h=6
Step-by-step explanation:
To find the volume of a right angle prism-
Find area of cross-section, in this case an isoscles triangle so we know that both of the parallel lines are 3ft
To find the area of the cross-section, do:
3 x 3 = 9
9 ÷ 2 = 4.5 (Area of cross-section)
Since we don't know the length of h, we need do:
27^3 ÷ 4.5 = 6
Therefore 6 is h
Hope I explained it okay:)
Describe the transformation of f(x) = cos x to g(x) = cos(x - pie/4).
Answer:
The Answer is C.
Step-by-step explanation:
f(x) = cos x , g(x) = cos(x - π/4)
Equation: f(x) = a * cos (x - h) + k
Since the equation only has h = π/4, it means that it shift right.
What is the theoretical probability of
randomly picking a triangle from the shapes
below?
Answer:
A, 3/7.
Step-by-step explanation:
There are 7 shapes overall shown. Since there are 3 triangles, we need to do 3/7.
Answer: 3/7
Step-by-step explanation:
Number of triangles / total number of shapes
mean of 12, 2, 64, 0, 48, 4, 6, 80
Answer:
Mean 27
Median 9
Mode 12, 2, 64, 0, 48, 4, 6, 80
Step-by-step explanation:
Malik invests money in an account paying simple interest. He invests $80 and no money is added or removed from the investment. After one year, he has $83.20. What is the simple percent interest per year?
Answer:
4%
Step-by-step explanation:
The interest earned on the investment is the difference between the end-of-year value and the initial value:
$83.20 -80 = $3.20 . . . . simple interest per year
__
The interest rate is the ratio of this to the initial investment:
$3.20/$80.00 = 0.04 = 4% . . . . . simple interest rate per year
A shirt costs ₱560. The store is giving a 6% discount if you buy this. How much will you pay for this shirt? need answers asap
Answer:
526.4
Step-by-step explanation:
560 - 6%
= 526.4 you will pay for the shirt
there are 63,360 inches in a mile. how many inches are in 4,200 miles ?
What is negative 2 square root of 45 plus 2 square root of 20
Answer:
-2 square root 5
Step-by-step explanation:
Find the rule and solve for n
Please help me I need this now.
Answer:
n = 6
Rule: Times 3
Step-by-step explanation:
Rectangle A′B′C′D′ is a dilation of rectangle ABCD.
What is the scale factor?
Enter your answer in the box.
Answer:
Scale factor = 4
If you multiply by 4 the two sides of ABCD, you will get the corresponding sides of A’B’C’D’
Help please -math- I’m lazy
A chef uses salt and sugar in the ratio 2:7 to make a sauce. The chef uses 133 g of sugar. How much salt does he use?