Answer:
Slope is -6/17
Step-by-step explanation:
( -3,12) ,(14,6)
m= (y2-y1)/(x2-x1)
m= (6 - 12)/(14 + 3)
m = (-6)/ 17
m = -6/17
Simplify the expression to standard form
-1/2(8x - 4) + (-5 + 3x)
Answer:
[tex] - x - 3[/tex]
Step-by-step explanation:
1) regroup term.
[tex] - \frac{1}{2} (8x - 4) + 3x - 5[/tex]
2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.
[tex] - \frac{8x - 4}{2} + 3x - 5[/tex]
3) Factor out the common term 4.
[tex] - \frac{4(2x - 1)}{2} + 3x - 5[/tex]
4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).
[tex] - 2(2x - 1) + 3x - 5[/tex]
5) Expand by distributing terms.
[tex] - (4x - 2) + 3x - 5[/tex]
6) Remove parentheses.
[tex] - 4x + 2 + 3x - 5[/tex]
6) Collect like terms.
[tex]( - 4x + 3x) + (2 - 5)[/tex]
8) Simplify.
[tex] - x - 3[/tex]
Therefor, the answer is -x - 3.
Use the image to answer the question below.
Å
-2
W
Which equation best represents circle A?
Answer: C
Step-by-step explanation: (x+2) 2+(y-1) 2=3
Kiran has 27 nickels and quarters in his pocket, worth a total of $2.75.
B. How many nickels and quarters are in Kiran's pocket? Show your reasoning.
Answer:
1.35 about 6 quarters
Step-by-step explanation:
2.75-1.35=1.40
1.40/0.25=about 6
Answer:
there will be 20 nickels and 7 quarters
A reflecting telescope contains a mirror shaped like a parabola of revolution. If the mirror is 16 inches across at its opening and is 2 feet deep, where will the light be concentrated?
Answer:
18
Step-by-step explanation:
If rectangle ABCD is reflected over x=3, does the area of the rectangle change? Explain
Answer:
Nope
Step-by-step explanation:
Rigid transformations don't change the area or perimeter of a shape.
What is the value of x?
Answer:x = 8.5
Step-by-step explanation:
1. Combine like terms
62+75+9 = 146
2.Set up equation
146+4x = 180
3. Subtract 146 to each side
146-146 + 4x = 180-146 = 34
4. Divide by 4
4x/4 = 34/4
X= 8.5
What is the value of y?
E
(3y + 4) (5y-10)
A.)7
B.)5.5
C.)1.75
D.)6
Answer:
7
Step-by-step explanation:
3*7+4=25
5*7-10=25
A roll of ribbon is used to tie 12 gifts which will be given to teachers on Teacher's
Day. Every gift requires a length of 1.85 m. After tying all the gifts, it was found that
2/3 of the ribbon had been used. The remaining ribbon was cut into 12 pieces of the same length. Calculate the length of each piece of ribbon that had been cut.
can someone help me answer this question plss
Each piece of ribbon that had been cut has a length of approximately 3.7 m.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The total length of ribbon to tie 12 gifts is calculated as,
⇒ 12 gifts × 1.85 m/gift = 22.2 m
The length of the ribbon remaining is calculated as,
Total length = [22.2 / (1/3)] x 2/3
Total length = 66.6 x 2/3
Total length = 44.4
The length of each piece of ribbon that had been cut is calculated as,
Length of each piece = 44.4 m ÷ 12 = 3.7 m
More about the Algebra link is given below.
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Matt wanted to buy a new mountain bike. The bike he wants to buy costs $319. He received $85 for his birthday and earned another $147 from his job as an Uber driver. How much more money will he need in order to buy the mountain bike?
Answer:
he will need $87 more to buy a mountain bike.
Step-by-step explanation:
85+147= 232 dollars that he has all together.
subtract that from the total cost of the bike (319-233= $87 more to buy a bike.)
PLEASE HELP!!!! It’s timed
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 41, adjacent B C is 9, opposite A C is 40.
Answer:
bStep-by-step explanation:
we are given opposite, adjacent and hypotenuse
and said to find cos(B)
recall trigonometric identity [tex]\cos(\theta)=\dfrac{adj}{hypo}[/tex]
let adj and hypo be 9 and 41 respectively
so
[tex] \displaystyle \: \cos( \beta ) = \frac{9}{41} [/tex]
hence our answer is b
A house was purchased in 2012 for $150,000 If the value of the home increases by 3% each year, what will the house be worth in the year 2015?
Find the area of the trapezoid.
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
Learn more about the trapezoid here:
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4 drinks for $3 is a unit rate?
Answer:
No, a unit rate is a rate for one quanity such as 1 drink for 0.75 cents.
Step-by-step explanation:
What is the slope of this line? Please answer quick
Answer:
the slope is 2
Step-by-step explanation: the slope is the rise over run
The answer is 2. In the future try the rise over run method and when the line is / the slop is positive and when it is like \ the slope negative.
A plane traveling with a velocity measured in meters per second, is described by vector a = 5,6). Find the
speed of the plane.
Answer:
The speed of the plane is [tex]v=1.2\: m/s[/tex]
Step-by-step explanation:
The vector (5,6) represents a point in the coordinate system time-position.
So, we have that at t = 5 s the position is x = 6.
Let's recall that the slope of this vector is the speed, then using the tangent definition:
[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]
[tex]v=1.2\: m/s[/tex]
I hope it helps you!
PLEASE HELP
Find the measure of the numbered angles
Answer:
I believe the answers are;
m<1 = 50°
m<2 = 130°
m<3 = 50°
m<4 = 130°
m<5 = 40°
m<6 = 30°
Jasmine has twice as much money as Madison. Madison has $6 less than Devanie. Together they have $54. How much money does Madison have?
Answer:
madision be $12
Jasmine be $24
And, the devanie be $18
Step-by-step explanation:
The computation is shown below:
Madison be x
Jasmine be 2x
Devanie be x + 6
And, the total is $54
Now the equation is
x + 2x + x + 6 = $54
4x = $48
x = $12
So madision be $12
Jasmine be $24
And, the devanie be $18
Cody starts the month of April with 5 action figures. Each month, he collects an additional 3 action figures.
Write an equation (in slope-intercept form) that matches Cody's situation.
Group of answer choices
y = 3x + 5
y = 5x + 3
y = 3x - 5
y = 5x - 3
Answer:
y= 3x + 5
Step-by-step explanation:
The +5 represents the starting 5 action figures, and the 3x represents the 3 action figures he collects each month.
What the answer someone help me!!!
Step-by-step explanation:
the answer to your question is
16/9
Answer:
16/9
Step-by-step explanation:
remove the bracket
Help me with this!!!
Answer:
yes
Step-by-step explanation:
What is the measure of the missing angle in the triangle below? (Write just the number with NO titles or words)
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
all triangles have a sum of 180 degrees. so 115+35=150
180-150= 30
Cassie purchases a new car for $30,000 that depreciates 6% each year. How much will the car be worth in 10 years? PLEASE HELP ASAP I NEED THIS GRADE!!
Answer:
it will be worth 3 grand meh pal
Step-by-step explanation:
495x43
1
Taylin buys 5 ounces of tea leaves for $2.35. At this rate, how much money does
she need to buy 12 ounces of tea leaves?
$5.04
2.355-0.47
0.47 1215.64
In problem 10, how would your work be different if you were asked how many
ounces of tea leaves Taylin could buy with $10?
Answer:a) $5.64 b) 21 ounces of tea leaves
Step-by-step explanation:
Step 1
5 ounces of tea leaves can be bought with $2.35
1 ounce of tea can be bought with =$2.35/5 =$0.47
12 ounces at the same rate can be bought with
=12 x $0.47 = $5.64
b) 5 ounces of tea leaves can be bought with $2.35
? Ounces of tea leaves can be bought with $10
$2.35 =5 ounces of tea
$10 = ? ounces of tea
= (10 x 5)/2.35
=50/2.35
=21.27 rrounded to 21 ounces of tea leaves
HELP ASAP WILL GIVE LOTS OF POINTS AND YOUR ANSWER MUST BE REAL OR ELSE I WILL NOT GIVE POINTS
The virus the suspect created was initially exposed to 5 people, and it spreads at a rate of 51.2% each week. The weight of the suspect is equal to the number of people who will be infected by week 9. (Round to the nearest whole number.) what is the question used to find the weight
Answer:
I dont know
Step-by-step explanation:
and thats not how it works
Dylan has 0.5 liters of water. He needs to find out how many milliliters of water he has so he can complete his science experiment. How many milliliters (mL) of water does Dylan have
Answer:
500 milliliters
Step-by-step explanation:
Dylan has 0.5 liters of water. He needs to find out how many milliliters of water he has so he can complete his science experiment. How many milliliters (mL) of water does Dylan have
1 liter of water = 1000 milliliters of water
0.5 liters of water = x
Cross Multiply
x = 0.5 × 1000 milliliters of water
x = 500 milliliters of water
Therefore, Dylan has 500 milliliters of water
Answer:
answer
Step-by-step explanation:
Answer:
500 milliliters
Step-by-step explanation:
Dylan has 0.5 liters of water. He needs to find out how many milliliters of water he has so he can complete his science experiment. How many milliliters (mL) of water does Dylan have
1 liter of water = 1000 milliliters of water
0.5 liters of water = x
Cross Multiply
x = 0.5 × 1000 milliliters of water
x = 500 milliliters of water
Therefore, Dylan has 500 milliliters of water
rewrite the equation in slope-intercept form.
8x-4y=20
Beth used 1 1/4 tubes of glue on her science project. Each Tube holds 1/3 ounce of paint. Write an equation to represent the situation. How many ounces of glue did Beth use?
Answer:
5/12 ounces
Step-by-step explanation:
If each tube holds 1/3 oz of paint, the you multiply 1/3 by the number of tubes that she used. 1/3oz/tube(1.25 tubes)= 5/12 ounces
2x + 3 = 23 steps for x?
Answer:
x=10
Step-by-step explanation:
work in the photo
Answer:
x=10
Step-by-step explanation:
Subtract 3 from both sides
2x=23-3
Simplify 23-3 to 20
2x=20
Divide both sides by 2
x= 2 0/2
Simplify 20/2 to 10
x=10
Solve the equation x2 + 4x − 11 = 0 by completing the square. Fill in the values of a and b to complete the solutions.
Answer:
x = - 2 -[tex]\sqrt{15\\[/tex]
x = - 2 + [tex]\sqrt{15[/tex]
Step-by-step explanation:
The given equation needs to be solved by completing the squares.
The required values are -2+√15, -2-√15
Completing the squaresThe given equation is [tex]x^2+4x-11=0[/tex]
The general form of a quadratic equaiton is [tex]ax^2+bx+c=0[/tex]
Comparing with the given equation we have
a = 1
b = 4
c = -11
Rearranging the equation
[tex]x^2+4x=11[/tex]
Finding (b/2)²
[tex](\dfrac{4}{2})^2=4[/tex]
Adding to both sides of the equation
[tex]x^2+4x+4=11+4\\\Rightarrow (x+2)^2=15\\\Rightarrow x+2=\pm\sqrt{15}\\\Rightarrow x=-2+\sqrt{15},-2-\sqrt{15}[/tex]
Learn more about completing the squares:
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This my last one help
Answer:
A2 = 120
A3 = 60
A5 = 60
A6 = 120
Step-by-step explanation:
Angle 1 and 2 are supplementary, so A2 = 180 - 60, which is 120.
Angle 1 and 3 are vertical angles, which are always the same measure.
Angle 5 is alternate interior angles with 3, which means it is also 60.
Angle 6 is alternate interior angles with 4, which means it is 120.