Answer:
Step-by-step explanation:
You have two pieces if information: the slope of a line and a point on the line. So you can use the "point-slope" formula in order to write the equation of this line. It is a fill-in-the-blank type of formula.
y - y1 = m(x - x1)
In this fill-in-the-blank formula the y1, the m, and the x1 will be filled in with the numbers you were given.
The problem gave the slope as -3/2 , this is your m. On these linear equation problems and formulas, m always stands for the slope.
So fill that in:
y - y1 = -3/2 (x - x1)
They also gave you a point, that is the (x1, y1) that you need to fill in the formula. The point was (-12, 16), so -12 will be your x1 and 16 will be your y1. Fill it in!
y - 16 = -3/2 (x - -12)
Simplify that ugly 'minus a negative' in the parenthesis.
y - 16 = -3/2 (x + 12)
If you were never told what form of equation to write, or they said "any form of the equation", then you're done!
This is in "point-slope" form.
y - 16 = -3/2(x+12) Ta-da!
If you need to change it to "slope-intercept' form then there are a few more steps.
y - 16 = (-3/2)x + (-3/2)12
y - 16 = (-3/2)x - 18
+16 +16
y = -3x/2 - 2 This is y=mx+b (called slope-intercept form)
Edward deposited $5,500 into a savings account 5 years ago. The simple interest rate is 3%. How much money Need ans
Answer:$1375 in interest and $6875 total.
Step-by-step explanation:
Do now: Balance the following equation.
1.
C₂H₂ + O₂--
+
--->
- CO2 + H2O
Answer:
C2H2 + 3O2 ---> 2CO2 + 2H2O
Step-by-step explanation:
7/11 x 7/15 x 3 multiply and write your answer as a fraction in the simplest form.
Answer: 49/55
7/11 x 7/15 x 3
49/165 * 3
147/165
49/55
[tex]\dfrac{7}{11} \times \dfrac{7}{15} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{3\times 5} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{5}\\\\\\=\dfrac{7\times7}{11 \times 5}\\\\\\=\dfrac{49}{55}[/tex]
Kayla uses ⅙ cup of glitter for every ⅓ cup of glue to make glitter glue. Enter the number of cups of glitter Kayla uses for 1 cup of glue. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER
========================================================
Explanation:
1/6 cup of glitter is needed for each 1/3 cup of glue. We want that "1/3 cup of glue" to be "1 cup of glue". So we'll multiply each part by 3.
3*(1/6) = 3/6 = 1/23*(1/3) = 3/3 = 1The ratio 1/6 : 1/3 updates to 1/2 : 1 to tell us that we need 1/2 cup of glitter to pair with 1 cup of glue.
write the equation of a line that passes through the points (-4,-7) and (-6,9)?
To solve this you need to use the formula: y2 - y1
x2 - x1
9-(-7) over -6-(-4)
The answer would be -8.
State the slope and y-intercept for the graph of
- 8x + y = -12.
Answer:
y must have a numerical coefficient of 1. This equation does. If it does not, then you must divide through by whatever is in front of the y.
To read the slope, you must have x and its coefficient on opposite sides of the equal sign.
So you get
y = 8x – 12 when you add 8x to both sides
Next, the y intercept is found when x = 0
y = 8x – 12
y = 8(0) – 12
y = – 12
The y intercept is -12 or in point form (0, – 12)
Answer
slope = 8
y intercept = – 12
Step-by-step explanation:
plz help me find this answer for number 9 and number 10 offering 20 points for a answer !!
Answer:
7
Step-by-step explanation:
Terms are the numbers and/or variables within an equation. For example you have 5 terms in that equation:
[tex]3x^2+7y^3+2x+9y-5y^2[/tex]
The first term is: [tex]3x^2[/tex]
The second term is: [tex]7y^3[/tex]
The third term is: [tex]2x[/tex]
The fourth term is: [tex]9y[/tex]
The fifth term is: [tex]-5y^2[/tex]
Coefficients are the numbers in front of variables (this includes negative/subtraction signs). For example you have 5 coefficients in this equation:
The first coefficient is: 3
The second coefficient is: 7
The third coefficient is: 2
The fourth coefficient is: 9
The fifth coefficient is: -5
5m - 2 represents the statement two less than five times a number
Answer:
yes
Step-by-step explanation:
Solve each inequality:
a. x + 3 < 4
b. x - 3 > 5
_
c. 4 > x - 2
d. -2 < x + 1
_
Which of the following lists of ordered pairs is a function?
Answer:
Option D.
Step-by-step explanation:
A function is a relation in which one input (x-value) is assigned to exactly one output (y-value).
Since option D's x-values do not repeat, then it is a function.
Hope this helps.
Find a and b. А E b B 409 с D
Answer:
a = 70°, b = 140°
Step-by-step explanation:
use alternate interior angles
The interior angles of a straight line are 180°
a = 180°-110° = 70°
b = 180°-40° = 140°
//I'm sorry, but I'm not very fluent in English.
Question 14 (5 points)
image
Which of the following is a true statement about the rhombus shown?
Question 14 options:
A)
≅
B)
m∠SPQ = 90°
C)
m∠STP = 90°
D)
≅
Question 15 (5 points)
image
Determine the value of x.
Question 15 options:
A)
x = 90°
B)
x = 45°
C)
x = 20°
D)
x = 4.5°
Answer:
14) C
15) D, because 90:20=4.5
9) Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?
b) On another trip, he used 9 gallons of gas. How far did he travel?
Answer: 38 miles per gallon ; 342 miles.
Step-by-step explanation:
The miles/gallon that he got on the trip will be:
= 228/6
= 38 miles per gallon.
When he used 9 gallons of gas, the distance travelled will be:
= 38 × 9
= 342 miles
Answer:
Question :
Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?b) On another trip, he used 9 gallons of gas. How far did he travel?Solution :
a) How many miles/gallon did he get on the trip?
[tex]{\implies{\sf{\dfrac{228}{6}}}}[/tex]
[tex]{\implies{\sf{ \cancel{\dfrac{228}{6}}}}}[/tex]
[tex]{\implies{\sf{\underline{\underline{\red{36 \: miles/gallon}}}}}}[/tex]
Hence, he get 38 miles/gallon for his trip.
[tex]\rule{200}2[/tex]
b) On another trip, he used 9 gallons of gas. How far did he travel?
[tex]{\implies{\sf{38 \times 9}}}[/tex]
[tex]{\implies{\sf{\underline{\underline{\red{342 \: miles}}}}}}[/tex]
Hence, he traveled 342 miles by using o gallon og gas.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
(1 pc
3. A recipe calls for 4 cups of sugar to make 4 dozen cookies. Use the proportion to calculate
how much sugar is needed to make 8 dozen cookies.
4 cups
x cups
4 dozen 8 dozen
O2 cups
08 cups
08.5 cups
0 12 cups
I really need help! I give Brainly-est
Answer:
8cups
Step-by-step explanation:
if it takes 4-cups for 4-dozen. That's 1-cup each dozen so 8-dozen is 8-cups
What is the answer I’ll rate you 5
The equation of the line is [tex]y=8[/tex]
To get the required equation, use the general form of the equation of a line having a gradient [tex]m[/tex], and passing through a point [tex](x_0,y_0)[/tex]
[tex]y-y_0=m(x-x_0)[/tex]
For our problem, the line has [tex]0[/tex] gradient, and passes through the point [tex](4,8)[/tex]
substituting the required values, we have
[tex]y-y_0=m(x-x_0)\\y-8=0(x-4)\\y-8=0\\y=8[/tex]
The required equation is [tex]y=8[/tex]
Learn more here: https://brainly.com/question/1690609
Alberta is going to take a 2-hour-26-minute flight from Chicago, Illinois, to
Denver, Colorado, that leaves at 11:49 a.m. Chicago time. If Illinois is in the
central time zone and Colorado is in the mountain time zone, what will be the
local time in Denver when the flight arrives?
Use the following to help you answer the question
12:00 p.m. eastern time = 11:00 a.m. central time = 10:00 a.m. mountain
time = 9:00 a.m. Pacific time.
A. 12:15 p.m.
B. 2:15 p.m.
C. 1:15 p.m.
D. 11:15 a.m.
SUBMIT
Answer: 1:15pm
Step-by-step explanation:
5+(3²-4)-6/3 please help
Therefore, 8 is the answer.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?
Answer:
Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?
Answer:
Solution here,
Principal=?
Time =3 year
Rate of percent= 4.5
SIMPLE intrest=$405
Now
Principal=(SIMPLE INTREST × 100)/(TIME × RATE)
=$40500/13.5
=$3000
Write an equation of the line that passes through (0,5.2) and (-1.5,1).
y=
Answer:
Step-by-step explanation:
Given:
y1 = 5.2
y2 = 1
x1 = 0
x2 = -1.5
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 1 - 5.2 ) / ( -1.5 - 0 )
m = -4.2 / -1.5
m = 2.8
then
y - y1 = m ( x - x1 )
y - 5.2 = 2.8 ( x - 0 )
y - 5.2 = 2.8x - 0
y = 2.8x + 5.2
8 less than the sum of u and 2
Answer: u < 6
Step-by-step explanation: 2 + u < 8
u < (8-2)
u < 6
Given −7 is one of the roots of the quadratic equation
(x + k)2 = 16, where k is a constant, find the values of k.
Answer:
k = {3, 11}
Step-by-step explanation:
Taking the square root of the given equation, we find ...
x +k = ±4
For x = -7, this is ...
-7 +k = ±4
k = 7 ±4 = {3, 11}
Possible values of k are 3 and 11.
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
Taking square root on the both sides of equation (x + k)² = 16 we get,
[tex]\implies\rm{( {x + k)}^{2} } = 16[/tex]
[tex]\implies\rm{x + k = ± 4}[/tex]
Making two conditions for ± 4 i.e
1) x + k = 4
[tex]\implies\rm{ - 7 + k = 4}[/tex]
[tex]\implies\rm{k = 4 + 7}[/tex]
[tex]\implies\rm{k = 11}[/tex]
2) x + k = -4
[tex]\implies\rm{ - 7 + k = - 4}[/tex]
[tex]\implies\rm{k = - 4 + 7}[/tex]
[tex]\implies\rm{k = 3}[/tex]
Thus the values of k can be either 11 or 3.please help me, tysmm! and no spam or links please it's rlly annoying -_-
Construct a bar graph for the relative frequencies given
Find the measure of the indicated angle in the triangle.
Answer:
70°
Step-by-step explanation:
The V angle is complementary with the R which means that
120° + V angle = 180° Therefore V = 60°
The sum of the internal angles of the triangles equals 180.
We have 50° + 60° + U = 180
70° is the answer
why is root 3 not 1.5
like a square of 3m2
wouldn't both sides have 1.5
1.5x1.5 = 3 ?
So why is root 3 =1.73...
I have to find out which quadratic equations are in standard form?
Answer:
See image
Step-by-step explanation:
In order to be in standard form, all the variables should be on the same side of the equation. The x^2 term should be first, then the x term then the constant (you could think of it as an x^0 term; it is a plain number) The coefficients of the x^2 term and the x term, should be integer coefficients (the number next to the x^2 and x cannot be a fraction or decimal)
Examine the diagram, where BD is tangent to circle M at point D, and BA is secant to the same circle at points E and A.
Answer:
19 = x
Step-by-step explanation:
The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)
BD²= (BA)(BE)
8² = (4 + x - 7) (4) BA = BE + EB
8² = (x - 3)(4)
64 = 4x - 12
64 + 12 = 4x
76 = 4x
19 = x
Solve for x help me please****
Answer:
2x-10=x
take -10 to the other side it becomes +10
take +x to the other side where there is 2x it becomes-xevaluate 2x-x=xso x=10Can u tell me the the answer to 44×4 multiply in columns
Answer:
176
hope it helps :)
mark brainliest!!
Please I need help asap
Answer:5/5 then 10-7 then 6/2
Step-by-sanation: