Write equations (both, Point Slope & Slope Intercept Forms) of the line with
slope of -2 and point (9,2).
Answer:
Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Step-by-step explanation:
We need to write equation of line having slope -2 and point (9,2)
a) Equation in Point Slope Form
The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
Where x₁ and y₁ are the points of line and m is slope.
x₁=9 and y₁=2 and m=-2
Putting values in formula and finding equation:
[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]
So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
b) Equation in Slope Intercept Form
The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
Finding y-intercept using slope m=-2 and point(9,2)
[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]
The equation in slope m=-2 and b=20 is:
[tex]y=mx+b\\y=-2x+20[/tex]
So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
PLZ HURRY IT'S URGENT!!!
The USC basketball team scored over 100 points in its last game. Some baskets, x, were worth 2 points and other baskets, y, were worth 3 points. Write an inequality to represent the score.
options:
2x+3y 100
2x+3y≤100
2. For the inequality y
options:
True
False
Answer:
its 2x+3y>100
Step-by-step explanation:
BTW the greater than sign is greater than or equal to I just cant input that sign so make sure the sign is > with a line underneath it.
16. [-12 Points]
DETAILS
CURRENMEDMATH11 3.S.001.
Solve the equation. A calculator may be used.
Express your answer to the nearest tenth.
0.8 1.4.
X
0.45 1
Express your answer to the nearest hundredth.
1.4
0.8
Х
0.45
=
1
Answer:
Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.
best answer get brainly
Farrell football team has a total 30 uniform shirts.20% of the uniforms are medium-sized how many uniforms are medium?
Answer:
I would believe that it would be close 7 whatever is closest to seven bro
Answer:
12
Step-by-step explanation:
20%=2/5
2/5 is equivalent to 12/30
therefore 12 uniforms are medium
#12: Kara is deciding between The Lyme Point Inn and Ever After Farms for 1 point
her wedding reception. The Lyme Point Inn charges $3,000 for the venue
and $100 for each meal. Ever After Farm charges $5,400 for the venue and
$70 for each meal. Write and solve an equation to find the number of
meals at which the total cost charged by the two venues would be the
same. *
Your answer
ooo
Answer:
80 meals
Step-by-step explanation:
Set up an equation where x is the number of meals:
100x + 3000 = 70x + 5400
Solve for x:
100x + 3000 = 70x + 5400
30x + 3000 = 5400
30x = 2400
x = 80
So, at 80 meals, the cost of the 2 venues will be the same
Answer:
80 metals
Step-by-step explanation:
100x + 3000 = 70x + 5400
How to Solve for x:
100x + 3000 = 70x + 5400
30x + 3000 = 5400
30x = 2400
x = 80
So, at 80 meals, the cost of the 2 venues will be the exact same
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want a ice cream party, 7 want a movie, 10 want a costume party, and the rest want are undecided. If 20% want a ice cream party, how many students are in class?
Answer:
25
Step-by-step explanation:
Give the values of the coefficients [a], [b], and [c], regarding the product in the form of ax^2-bx + xy - cy. Use "0" if the term isn't present.
Answer:
[tex]x^{2} -6x+xy-6y[/tex]
Step-by-step explanation:
Answer:
The values of coefficients a, b and c are
a=1
b=6
c=6
Step-by-step explanation:
We need to give the values of coefficients [a],[b] and [c] regarding the product in the form of [tex]ax^2-bx + xy - cy[/tex]
The term given is: [tex](x+y)(x-6)[/tex]
First we will multiply the terms
[tex](x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y[/tex]
Now comparing the product [tex]x^2-6x+yx-6y[/tex] with the given form [tex]ax^2-bx + xy - cy[/tex]
The values of coefficients a, b and c are
a=1
b=6
c=6
Helpppppppppppppp
asappppppppppp
Answer:
180-112=68
Step-by-step explanation:
2. Graph x < 8 and x > -1.
Answer:
I'll try my best in explaining the steps.
Considering both signs are greater than and less than sign, its an open circle.
For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.
For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.
Step-by-step explanation:
indicate in standard form the equation of the line passing through the given points, in the equation box below. X(0, 6), Y(5, 6)
Answer:
0x + y = 6
Step-by-step explanation:
Equation of the Line
The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
It can be later converted to any other form of the line. For example, the standard form is:
[tex]Ax + By = C[/tex]
Let's find the equation by using the given points (0,6) (5,6):
[tex]\displaystyle y-6=\frac{6-6}{5-0}(x-0)[/tex]
Operating:
[tex]\displaystyle y-6=\frac{0}{5-0}(x-0)[/tex]
y - 6 = 0
Or, equivalently:
0x + y = 6
This corresponds to a horizontal line
find area of triangle formed by (1,1) (2,3) (4 ,5) using heron's formula
Answer:
The area of a triangle is:
A = 1 unit²Step-by-step explanation:
Given the points of a triangle
A(1, 1)
B(2, 3)
C(4, 5)
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Distance between AB:
[tex]AB=\sqrt{\left(2-1\right)^2+\left(3-1\right)^2}[/tex]
[tex]=\sqrt{1+4}[/tex]
[tex]=\sqrt{5}[/tex]
so
[tex]a=\sqrt{5}[/tex]Distance between BC:
[tex]BC=\sqrt{\left(4-2\right)^2+\left(5-3\right)^2}[/tex]
[tex]=\sqrt{2^2+2^2}[/tex]
[tex]=\sqrt{2^3}[/tex]
[tex]=2\sqrt{2}[/tex]
so
[tex]b=2\sqrt{2}[/tex]Distance between AC:
[tex]AC=\sqrt{\left(4-1\right)^2+\left(5-1\right)^2}[/tex]
[tex]=\sqrt{3^2+4^2}[/tex]
[tex]=\sqrt{5^2}[/tex]
[tex]=5[/tex]
so
[tex]c=5[/tex]Semiperimeter = sum of sides ÷ 2
[tex]s=\frac{\sqrt{5}+2\sqrt{2}+5}{2}=5.03224[/tex]
Area of the triangle:
[tex]A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}[/tex]
[tex]a=\sqrt{5}[/tex][tex]b=2\sqrt{2}[/tex][tex]c=5[/tex][tex]A=\sqrt{s\left(s-\sqrt{5}\right)\left(s-2\sqrt{2}\right)\left(s-5\right)}[/tex]
[tex]A=\sqrt{5.03224\dots \left(5.03224\dots -\sqrt{5}\right)\left(5.03224\dots -2\sqrt{2}\right)\left(5.03224\dots -5\right)}[/tex]
[tex]A=1[/tex]
Therefore, the area of a triangle is:
A = 1 unit²(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. How many more pies did Petra eat?
A) one and fifty eight eightieths pies
B) one and seventeen twenty firsts pies
C) two and fifty eight eightieths pies
D) two and seventeen twenty firsts pies
(Here is an image if needed) :
Answer:
2 7/20
Step-by-step explanation:
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
If f(x) = -3x + 4, find f(-4)
Answer:
Step-by-step explanation:
-3x+4
-3(-4)+4
12+4
16
Answer:
3x+4
3(-4)+4
12+4
16
Step-by-step explanation:
Q14.
Solve the simultaneous equations
2x - 3y = 24
6x + 2y = -5
landimorament
Find the values of a and b such that x² - 2x + 2 = ( x - a )² + b
Answer:
a = b = 1
Step-by-step explanation:
x² - 2x + 2 = ( x - a )² + b
x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1
a = b = 1
May someone help me with this please?!
Factor the polynomial function over the complex numbers.
f(x)=x4+3x2−4
Enter your answer in the box.
f(x)=
Answer:
14
Step-by-step explanation:
I am pretty sure its 14 if not im so sorry
A tree is 72 feet (ft) tall. How many inches (in) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.
1 foot = 12 inches:
1/72 = 12/x
Cross multiply:
1x = 72 * 12
x = 864 inches
yler's brother earns $12 per hour. The store offers him a raise— a 5% increase per hour. after the raise,how much will tyler make per hour
Answer:
$12.60
Step-by-step explanation:
12/100 × 12 = 0.60
12 + 0.60 = 12.60
State the number of complex roots and the possible number of real and imaginary roots for each equation. The find all roots? If possible.
Answer:
x =2
x = -2
Step-by-step explanation:
(x - 2)(x + 2)(x^2 + 4) = 0
(x - 2) = 0
x = 0 + 2
x = 2
(x + 2) = 0
x = - 2
x = - 2
(x^2 + 4) = 0
x^2 = 4
x = [tex]\sqrt{4}[/tex]
x = 2
lupita and kevin walk to school.lupita walks 3/5 mi.kevin walks 0.65 mi.who walks a greater distance to school?how much greater?
Answer:
0.05
Step-by-step explana
Evaluate the circulation of G =xyi +zj +4yk around a square of side 9, centered at the origin, lying in the yz-plane, and oriented counterclockwise when viewed from the positive x-axis.
Answer:
I didn't know the answer and sorry I am here taking freepoint because I needed them in a hurry so that I can ask my questions from someone else that's why I really sorry and thank you for free points
What is 8.15 rounded to the nearest whole number
Answer:
the answer is 8.
Step-by-step explanation:
Brainliest? uwu
Answer:
8 :)
You round down. If it was 8.5 then you'd round up, anything below would be rounded down, for example, 8.4, 8.3, 8.2, 8.1.
5 yds=? Ft (PLEASE HELPP!!!)
Answer:
5 yards = 15 feet
Step-by-step explanation:
Following the formula that for every 1 yard we have 3 feet.
x = amount of yards
y = amount of feet per yard
z = amount of feet total
[tex]x * y = z[/tex]
Substitute:
[tex]5 * 3 = z[/tex]
[tex]15 =z[/tex]
Final answer:
5 yards = 15 feet
the is factoring quadratics with a leading coefficient: 5x to the 2 power - 14x + 8
Answer:
The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)
Step-by-step explanation:
Given quadratic polynomial is:
[tex]5x^2-14x+8[/tex]
To factor a quadratic polynomial with leading co-efficient has to be factorized, the leading co-efficient and the constant are multiplied and pairs(a,b) of the product are made so that their sum or subtraction is equal to the co-efficient of x
We get 40 by multiplying 8 and 5
And the pair we get are: 10 and 4
[tex]=5x^2-10x-4x+8\\=5x(x-2)-4(x-2)\\=(5x-4)(x-2)[/tex]
Hence,
The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)
A contractor bought 6.4 ftof sheet metal. She has used 3.7 ft2 so far and has $43.20 worth of
sheet metal remaining. The equation 6.4x - 3.7x = 43.2 represents how much sheet metal is
remaining and the cost of the remaining amount. How much does sheet metal cost per square
foot?
Sheet metal costs $
per square foot.
-need help ASAP- please and thank you
Answer:
$16
Step-by-step explanation:
To find the cost per square foot we have to solve the given equation for x:
6.4x - 3.7x = 43.2
2.7x = 43.2
Divide both sides of the equation by 2.7 to isolate the x:
2.7x/2.7 = 43.2/2.7
x = 16
The sheet metal costs $16 per square foot.
Hope this helps :)
The length of a rectangle is twice the width if the perimeter of the rectangle 60 units find the area of the rectangle
Answer:
200
Step-by-step explanation:
Length = 2w
2w + 2l = 60
substitute l out with 2w
2w + 2(2w) = 60
2w + 4w = 60
w = 10
l = 20
Area = w • l
= 10 • 20
= 200
Please help I’ll mark brainliest if u give a small explanation
Write the slope-intercept form of the equation of the line described. through (2, -5) perpendicular to y = 1/3x -1
Answer:
y = -3x + 1
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.
Plug in the slope and given point into y = mx + b
y = mx + b
-5 = -3(2) + b
-5 = -6 + b
1 = b
Then, plug in the slope and y intercept into y = mx + b again:
y = -3x + 1 will be the equation of the line
3.
1
y=x+3
1
slope: +: y-intercept: 3
4
B slope: 4; y-intercept: -3
1
slope: ; y-intercept: -3
D slope: 4; y-intercept: 3
PLEASE HELP ME
Answer:
A
Step-by-step explanation:
remember y=Mx+b where M is slope mad B is y intercept
The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 30 students in the chorus, how many are girls and how many are boys.
girls 3 parts
boys 2 parts
Answer:
it should be girls 12 to 18
Step-by-step explanation:
i just messed around with a calculator and found it.