Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.
through:
(0,3)(−4,5)
Step-by-step explanation:
General line equation: y = mx + c
When x = 0, y = 3. => (3) = m(0) + c, c = 3.
When x = -4, y = 5. => (5) = m(-4) + c,
5 = -4m + (3), -4m = 2, m = -0.5.
Hence the answer is y = -0.5x + 3.
Answer:
y=-[tex]\frac{1}{2}[/tex]+3
Step-by-step explanation:
To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)
m=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
=[tex]\frac{5-3}{-4-0}[/tex]
=2/-4
=-[tex]\frac{1}{2}[/tex]
next, calculate b by substituting a point (0, 3) into the equation
y=mx+b
3=(-1/2)(0)+b
b=3
final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3
A ladder is 8 metres long . It leans against a wall with one end on the
ground 6 metre from the wall. The other end just reaches a windowsill.
Calculate the height of the windowsill above the ground.
Answer:
b=2√7 ≈ 5.29 meters
Step-by-step explanation:
think of it like a right triangle like in the picture with 8metre ladder as the hypotenuse
a²+b²=c²
6²+b² =8²
b²= 8²-6²=28
b=√28 =2√7 ≈ 5.29 meters
PLEASE ANSWER SOON AND ONLY IF YOU KNOW THE ANSWER! I NEED YOUR HELP!
The graphs of [tex]y = x^2 - 7x + 7[/tex] and the line [tex]y = -3[/tex] intersect at two points. What is the sum of the x-coordinates of these two points?
Answer:
x = 5, x = 2
Step-by-step explanation:
y=x²-7x+7 but also y=-3
so x²-7x+7=-3
x²-7x+10=0
when factorising think about 2 numbers you multiply by each other tp give 10 but at the same time their sum is 7
-5x-2=10
-5+-2=-7
so (x-5)(x-2)=0
(note: multiply the two brackets to check if ur answer is correct and that it gives x²-7x+10=0)
x-5=0 so x=5
but also x-2=0 so x=2
. Solve; 2x+96=182 hurry due in 5 mins
Move all terms that don't contain x to the right side and solve.
x = 43
Answer:
x=43
Step-by-step explanation:
2x+96=182
2x=86 (Subtract 96 from 182)
x=43 (Divide 86 by 2)
i don't understand the math. please help.
Answer:
a. $105
b. $455
Step-by-step explanation:
It’s true or false answers, plz help!
Answer:true
Step-by-step explanation:
This is circle theorems I am not rly good at this
Answer:
m∠BCD = 24°
Step-by-step explanation:
By the theorem,
"Angle subtended by an arc at the center of the circle is twice in measure of the angle subtended at the circumference."
m(∠BOD) = 2(m∠BFD)
= 2(78°)
= 156°
Therefore, m(arc BD) = m∠BOD = 156°
Since, m(arc BD) + m(arc BFD) = 360°
156° + m(arc BFD) = 360°
m(arc BFD) = 360 - 156
= 204°
Since, "angle formed outside the circle by the intersection of two tangents measure half of the difference of the intercepted arcs".
m∠BCD = [tex]\frac{1}{2}[m(\text{arc BFD})-m(\text{arc BD})][/tex]
= [tex]\frac{1}{2}[204 - 156][/tex]
= 24°
slope is soo confusing.. but if anyone down to help me
Answer:
-2/2 or simplify to =-1
Step-by-step explanation:
you use rise over run. you may use an exact formula (y2-y1)/(x2-x1) by picking 2 y values and 2 x values on the graph and subtracting the values.
plz plz plz help me no incorrect answers plz
Answer:
x = 26°
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The ray NC bisects ∠WNB
→ That means it divides the angle into two equal angles, ∠WNC and ∠CNB.
∴ m∠WNC = m∠CNB
∵ m∠WNC = 3v - 4
∵ m∠CNB = 2v + 6
→ Equate the measures of the two angles
∴ 3v - 4 = 2v + 6
→ Add 4 to both sides
∵ 3v - 4 + 4 = 2v + 6 + 4
∴ 3v = 2v + 10
→ Subtract 2v from both sides
∵ 3v - 2v = 2v - 2v + 10
∴ v = 10
∵ x = m∠WNC
∴ x = 3v - 4
→ Substitute v by 10
∵ x = 3(10) - 4
∴ x = 30 - 4
∴ x = 26°
Sidney takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut she makes is 15 inches long and the width of the fabric is 12 inches. What is the fabric's length?
Answer: The length is 3 or 9 hope this helps.
Step-by-step explanation:
Four different stores posted ads on special 15-oz cans of baked beans -8 for $6 = 75 cents per can -10 for $10 = $1 per can -2 for $3 = $1.50 per can -80 cents per can The last store listing was selling 28-oz of baked beans for $1.40 each. How does that price compare to the other prices?
Answer:
75 cents per can
Step-by-step explanation:
8 for $6 = 75 cents per can
10 for $10 = $1 per can
2 for $3 = $1.50 per can
The last store sold 28-oz for $1.40 each
To obtain the cost per 15-oz can of baked beans
28-oz / 15-oz = 1.86667of 15 - oz cans of baked beans can be obtained from 28 - oz.
The price per can will now be :
$1.40 / 1.8666666
= $0.75
= 0.75 * 100 = 75 cents
Hence, for the last store, they sold at 75 cents per can similar to the first store.
Answer:
75
Step-by-step explanation:
it is
Help !!!
See question in image.
Please show workings .
Answer:
Given a function y=f(x) its first derivative – the rate of change of y with respect to x – is defined by: dydx=limh→0[f(x+h)−f(x)h]. Finding the derivative of a function by computing this limit is known as differentiation from first principles
and put the formula answer will be there
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim( h to 0 ) [tex]\frac{\frac{3}{x+h}-\frac{3}{x} }{h}[/tex]
= lim( h to 0 ) [tex]\frac{3x-3(x+h)}{hx(x+h)}[/tex]
= ( lim h to 0 ) [tex]\frac{3x-3x-3h}{hx(x+h)}[/tex]
= lim( h to 0 ) [tex]\frac{-3h}{hx(x+h)}[/tex] ← cancel h on numerator/ denominator
= lim( h to 0 ) [tex]\frac{-3}{x(x+h)}[/tex] ← let h go to zero, then
f'(x) = - [tex]\frac{3}{x^2}[/tex]
Calculate the area of the square shown below.
its a square ■ and on the bottom its 3.1 yd what do I do?
Step-by-step explanation:
area of square is a^2
3.1yd^2=9.61yd^2
Answer:
Area = 9.61^2
Step-by-step explanation:
A square has all equal sides so each side is the same length. To find the area mulyiply the length by the width. Since it is a square both sides will be 3.1 yds long. So multiply 3.1 by 3.1 and you will get 9.61^2, That is the area of the square.
Suppose you want to get a loan for $ 5 , 000 at an interest rate of 5.3 % for 2 years to be paid back in 24 monthly installments. Calculate this loan using simple interest. What is the amount of the monthly payments? Round the answer to the nearest cent (hundredth).
Answer:
monthly payment = $56.445
Step-by-step explanation:
given data
loan = $5000
interest rate r = 5.3 % = 0.053
time t = 2 year = 24 months
solution
we will use here amount of the monthly payments formula that is
monthly payment = principal × [tex]\frac{r}{1+(1-r)^{-t}}[/tex] ................1
put here value and we get
monthly payment = 5000 × [tex]\frac{0.053}{1+(1-0.053)^{-24}}\\[/tex]
monthly payment = $56.445
Answer:
Step-by-step explanation:
Which relation is a function?
O {(0, -9), (-2, -3), (-2, 0), (-3, -2)}
O {(0, -9), (-9, -2), (0, -3)}
O {(0, -9), (-9, 0), (-3, -3)}
O {0, -9, -2, -3}
Answer:
C
Step-by-step explanation:
Here, we want to select the option that present a function
For a set of points to be a function, we have that every single x value is directly mapped to a single y value
As we can see, this is correct only for the third option
There is no repetition of x-values or y-values
Every x value is directly linked to a different y-values
Answer:
C
Step-by-step explanation:
Here, we want to select the option that present a function
For a set of points to be a function, we have that every single x value is directly mapped to a single y value
As we can see, this is correct only for the third option
There is no repetition of x-values or y-values
Every x value is directly linked to a different y-values
Please help, will reward brainliest.
Answer:
2 out of every 5; 2:3; 2:5
Step-by-step explanation:
2 out of every 5 means that out of 5, he/she picks two (leftover 3)
the other choices are a ratio of if he/she has 2 of that then they will also have 5 of this
What is the measure of the marked angle? (photo included)
Answer:
B) 42 Degrees
Step-by-step explanation:
An angle bisector is basically a line that splits an angle into two congruent angles.
In this case, the large angle ABC is bisected by ray BD.
Angle ABC is given to be 84 degrees, so the measure of angle ABD is exactly half of that, or 42 degrees.
Let me know if this helps!
If you roll a six sided die six times what is the best prediction possible for the number of times you a roll a two
Answer:
the best possiable prediction is 2/6
Step-by-step explanation:
Pattern A start at 20 and has the rule subtract 2. Pattern b starts at 20 and has the rule subtract 1. Which shows the first several terms of patterns A and b
Answer:
c.
Pattern A: 20, 18, 16, 14, 12, 10
Pattern B: 20, 19, 18, 17, 16, 15
Step-by-step explanation:
Pattern A starts at 20 and the rule is to subtract 2. The terms will therefore be:
= 20, 18, 16, 14, 12, 10
The numbers above were gotten by subtracting 2 from each term for the next term.
Pattern B starts at 20 and the rule is to subtract 1. The terms will be:
= 20, 19, 18, 17, 16, 15
Correct option is therefore option C.
Kevin has 7 baseballs. Each baseball weighs 0.3 pound. Ken wants to use this model to find the total weight of the baseballs. Each hundredths block in the model represents 1 whole.
Answer: The total weight of the 7 baseballs are 2.1 pounds, or if using a model, 2 hundredths and 1 tenth.
Step-by-step explanation:7 x 0.3 = 2.1 or 2 hundredths and 1 tenth on the model.
Hint: 1 Hundredth is equal to 1 whole.
Find x and y so the quadrilateral is a parallelogram.
hellpppp what angle is
Answer:
acute
Step-by-step explanation:
Answer:
Acute
Step-by-step explanation:
∠LAF is 70°. Since it has an angle measurement of less than 90°, it is known as an acute angle.
Iliana multiplied 3p – 7 and 2p2 – 3p – 4. Her work is shown in the table.
The expression (3 p minus 7)(2 p squared minus 3 p minus 4) is shown above a table with 3 columns and 2 rows. First column is labeled 2 p squared, second column is labeled negative 3 p, the third column is labeled negative 4. First row is labeled 3 p with entries 6 p cubed, negative 9 p squared, negative 12 p. Second row is labeled negative 7 with entries negative 14 p squared, 21 p, 28.
Which is the product?
6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
Which is the product?
6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.
Answer: Answer Is C
Step-by-step explanation: Did the Quiz test thing
Answer:
C. 6p3 – 23p2 + 9p + 28
Step-by-step explanation:
edge
To convert a temperature from degrees Celsius to degrees Fahrenheit, you can use the formula F= (C*1.8) + 32 where F is degrees Fahrenheit and C is degrees Celsius. What is the temperature (in degrees Fahrenheit) of water that is 10 degrees Celsius?
Answer:
The temperature is [tex]50^{\circ}F[/tex]
Step-by-step explanation:
Given
[tex]F= (C*1.8) + 32[/tex]
Required
Find F when [tex]C = 10[/tex]
[tex]F= (C*1.8) + 32[/tex]
Substitute 10 for C
[tex]F = 10 * 1.8 + 32[/tex]
[tex]F = 18 + 32[/tex]
[tex]F = 50[/tex]
Sue charges a flat rate of $20 plus $10 per hour it takes her to mow a lawn. Which equation shows the correct way to find the cost y of mowing a lawn for x hours.
Answer:
y=20+10x
Step-by-step explanation:
From the information provided, the equation would indicate that the cost of mowing a lawn would be equal to the flat rate plus the result of multiplying the cost per hour for the number of hours:
y=20+10x, where:
y is the cost of mowing a lawn
x is the number of hours
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
–10.5 9
–21/5 ≤ –5/2d
Answer:
No. ≤ means less than or equal to
Step-by-step explanation:
Need help thanks if you do
Answer:
I think it is 4/5 because when you have a remainder you put it on top over the first number (5)
Step-by-step explanation:
Hope this helped and sorry if this didn't help :(
Katie and Sunnie both have 20-gallon fish tanks that are leaking water! After 15 minutes, Katie's tank has leaked 43 gallon. After 20 minutes, Sunnie's tank has leaked 34 gallon. Which tank is leaking faster?
Answer:
Katie's gallon
Step-by-step explanation:
Katie and Sunnie both have 20-gallon fish tanks that are leaking water!
For Katie
After 15 minutes, Katie's tank has leaked 4/3 gallon.
The rate of leakage =
4/3 gallon × 15 minutes
= 16
For sunny
After 20 minutes, Sunnie's tank has leaked 3/4 gallon.
Her rate is given as:
= 3/4 gallon × 20 minutes
= 15
Therefore,
The tank that is leaking faster is Katie's gallon
solve 2x²-3x-7=0 using completing the square method
Answer:
Use the formula ( b 2 ) 2 in order to create a new term.
Solve for x by using this term to complete the square.
Exact Form: x = ± √ 65 4 + 3 4
Decimal Form: x = 2.76556443 … , − 1.26556443 …
Kristen invested $1,800 in an account paying 6.5% simple interest. After 5 years, what is the balance of her account?
Answer: 2,385
Step-by-step explanation: