Answer:
y + 1 = 8 (x + 7)
Step-by-step explanation:
point slope form is
y - y1 = m (x - x1)
So replace the y1 with the y point, and the x1 with the x point
y - (-1) = m (x - (-7) )
then replace the m with the slope
y - (-1) = 8 (x - (-7) )
now solve
y + 1 = 8 (x + 7)
The area of triangle ABC is 4 root 2. Work out the value of x
Answer:
x ≈ 2.4
Step-by-step explanation:
Area of the triangle = 1/2 absin theta
Find the diagram of the triangle attached
a = 2x-3
b =x+2
theta = 45°
Substitute and find x
4√2 = 1/2(2x-3)(x+2)sin45
8/√2 = (2x-3)(x+2)(1/√2)
8 = (2x-3)(x+2)
Expand
8 = 2x²+4x-3x-6
2x²+x-6-8=0
2x²+x-14 = 0
x = -1±√1²-4(14)(2)/2(2)
x = -1±√1+112/4
x = -1±√113/4
x = -1+10.63/4
x = 9.63/4
x = 2.4
The value of x is 3.075.
Given that,
The area of the triangle is [tex]4\sqrt{2}[/tex] square meter,
and [tex]\theta[/tex] is 45 degrees.
The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).
We have to determine
The value of x.
According to the question
The area of the triangle is determined by the following formula,
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta[/tex]
Substitute all the values in the formula
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\[/tex]
[tex]\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575[/tex]
The value of x can not be negative so the value of x is 3.075.
Hence, The required value of x is 3.075.
For more details refer to the link given below.
https://brainly.com/question/15894203
Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?
Answer:
The answer is y = 4x - 1.
Step-by-step explanation:
☆The equation we'll be using: y = mx + b
☆Since we already have the slope. we have to find the y-intercept.
☆[tex]y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: } [/tex]
☆Using the information we gathered and was given, we just to put them together.
☆[tex]y = 4x - 1[/tex]
Answer:
y=4x-1
Step-by-step explanation:
6m – 3 = 5 – (m + 39.5)
What is the solution of the equation shown
Answer:
m= -4.5
Step-by-step explanation:
Let's solve your equation step-by-step.
6m−3=5−(m+39.5)
Step 1: Simplify both sides of the equation.
6m−3=5−(m+39.5)
6m−3=5+−1(m+39.5)(Distribute the Negative Sign)
6m−3=5+−1m+(−1)(39.5)
6m−3=5+−m+−39.5
6m+−3=5+−m+−39.5
6m−3=(−m)+(5+−39.5)(Combine Like Terms)
6m−3=−m+−34.5
6m−3=−m−34.5
Step 2: Add m to both sides.
6m−3+m=−m−34.5+m
7m−3=−34.5
Step 3: Add 3 to both sides.
7m−3+3=−34.5+3
7m=−31.5
Step 4: Divide both sides by 7.
7m
7
=
−31.5
7
m=−4.5
Step-by-step explanation:
6m-m=5-3+39.5
5m=-37.5
m=7.5
Joel has a bag with 128 pieces of candy in it. He gives his sister 25% of the candy. How many pieces of candy does Joel give his sister?
Answer:
[tex]Joel \: \: gave \: \: his \: \: sister \: \: 32 \: \: pieces\: \: of \: \: candy[/tex]
Step-by-step explanation:
[tex] \frac{x}{128} = \frac{25}{100} [/tex]
[tex](x)100 = (25)128[/tex]
[tex](x)100 = 3200[/tex]
[tex] \frac{(x)100}{100} = \frac{3200}{100} [/tex]
[tex]x = \frac{3200}{100} [/tex]
[tex]x = 32[/tex]
[tex]Joel \: \: gave \: \: his \: \: sister \: \: 32 \: \: pieces \: \: of \: \: candy[/tex]
In which part of the graph is the distance from home constant?
Distance from home
4
5
Time
A. 4
B. 3
C. 2
D. 1
Answer:
I chose B. 3
Step-by-step explanation:
I chose B because the person is either staying still, not moving, or something of the sort.
Need help ASAP
Will mark you brainlist
Please help! I may have more to ask!!
Answer:
Perimeter = 26.85 in.
Step-by-step explanation:
Perimeter of a figure = Sum of the lengths of the boundaries of the figure
In the figure attached,
There is a parallelogram with side lengths 5 in, 7 in and 7 in.
And a semicircle with radius 'r' = [tex]\frac{5}{2}[/tex] = 2.5 in
Now the circumference of the semicircle = πr
= π(2.5)
= 7.85 in.
Now the perimeter of the total figure = 7 + 5 + 7 + 7.85
= 26.85 in.
Therefore, perimeter of the figure is 26.85 in.
What is a function? *
Answer:
A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.
Step-by-step explanation:
hope this helps
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,0) and (0,9)
Answer:
need a picture hdhxhxhxhx
Mateo has 31/2 pounds of apples he uses 3/4 of a pound of apples for each batch of applesauce how many batches of applesauce can he make
Answer:
20 2/3
Step-by-step explanation:
Determine wether the following statement is always, sometimes, or never true. A regular polygon has all sides and angles congruent.
Answer:
most likely always. either that or sometimes I hope that answers your question!
Can someone please help me answer this!!!
Answer:
32 to 40 minutes
Step-by-step explanation:
Plot a point on the coordinate plane to represent each of the ratio values in the table.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the table
Time (h) Distance (km)
1 2
3 6
6 12
9 18
As the time (h) is represented on the x-axis and the distance (km) is represented on the y-axis.
We know that the first coordinate of an ordered pair or point (x, y) is called the x-coordinate and the second coordinate is called the y-coordinate.
Thus, from the table, we get the following points:
(1, 2), (3, 6), (6, 12), and (9, 18)
The given points are plotted on the graph attached below.
From the graph, it is clear that:
Point (1, 2)
Point (1, 2) is represented at x = 1 and y = 2.
Thus, at the point (1, 2):
Speed = Distance / Time = 2/1 = 2km per hour
Point (3, 6)
Point (3, 6) is represented at x = 3 and y = 6.
Thus, at the point (3, 6):
Speed = Distance / Time = 6/3= 2km per hour
Point (6, 12)
Point (6, 12) is represented at x = 6 and y = 12.
Thus, at the point (6, 12):
Speed = Distance / Time = 12/6= 2km per hour
Point (9, 18)
Point (9, 18) is represented at x = 9 and y = 18.
Thus, at the point (9, 18):
Speed = Distance / Time = 18/9= 2km per hour
Please check the attached graph.
Which is a multiple of 3, 2, and 5? 36 40 45 60
Answer:
60
Step-by-step explanation:
60/3=20
60/2=30
60/5=12
20$56 x4-7 + ,608+. 0. -70
Let f(x) be defined on the positive real numbers as follows:
Start with a number x.
Take the square root of the number and add 3 more than the number you started with.
Square the result and add 2 more than the original number.
Finally, divide the result by 2 more than the square of the original number.
Required:
Write a formula for f(x).
Answer:
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Step-by-step explanation:
We have to find the formula for f(x)
Let x be the number
According to question
Now,
[tex]\sqrt{x}+x+3[/tex]
Now,
After squaring we get
[tex](\sqrt{x}+x+3})^2[/tex]
Add x+2 to above result then, we get
[tex](\sqrt{x}+x+3})^2+2+x[/tex]
Then,
[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Therefore, the formula for f(x) is given by
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Chris paid $3,069 for 3 iphones. Each iphone costs the same amount. How much did each iphone cost? Solve this problem using a strategy of your choice.
Answer 1029
Step-by-step explanation: So, since all of the phones cost 3,069 in total, divide 3,069 by three. You get 1029.
Simplify (x-y-5) (x-2)
5+y=y+5 which property of addition commutative,associative,additive ifentity property,additive identity property ,
Answer:
commutative
Step-by-step explanation:
Commutative property says changing the order of addends does not change the sum.
Answer:
commutative
Step-by-step explanation:
Commutative property says changing the order of addends does not change the sum.
a car can drive 165 miles in 5 hours.
how many yards can thee car travel in a hour
Answer: 58,080 yards in one hour.
Step-by-step explanation:
1. 165 miles ÷ 5 = 33 miles per hour
2. 1 mile = 1760 yards
3. 1760 x 33 = 58,080 yards.
4. 58,080 yards per hour.
Therefore the car travels 58,080 yards in 1 hour.
Simplify
57
leaving your answer in index form.
Find the equation of the linear function represented by the table below in slope
intercept form
Answer:
y=x+2.
Step-by-step explanation:
1. if the point A has coordinates (-3;1) and B - (1;3), then it is possible to make up the equation:
[tex]\frac{x-X_A}{X_B-X_A}= \frac{y-Y_A}{Y_B-Y_A}; \ => \frac{x+3}{4} =\frac{y+1}{4};[/tex]
2. if to evaluate the equation, then
x+3=y+1; ⇔ y=x+2 (slope-interseption form).
please help ppppppppppppp
Answer:
112
Step-by-step explanation:
formula = lwh/3 (length x width x height / divided by 3)
Answer:
112in
Step-by-step explanation:
Please mark brainliest.
❌Will mark brainliest answer
Select all the correct answers.
Which equations have one solution?
Which are equations? Check all that apply.
Answer:
numbers 1,4,6,7 are all equations
Step-by-step explanation:
just look for the equal sign if there's no equal sign then its an expression not an equation
Answer:
All of the equations are the ones with the equal signs (=)
I hope this helps!
One Season The Cougars won 20 games. They played a total of 25 games. Use the equation 20 + g = 25 to find g, the number of games the team lost.
Answer:
Step-by-step explanation:
20 + g = 25
-20 -20
g = 5
This is 10 questions please answer. 1.Write the ratio as a fraction in the simplest form 15 girls to 6 boys. 2.Write The ratio as a fraction in simplest form 24 players: 3 teams.
3. Write The ratio as a fraction in simplest fraction form 48 worksheets: 12 students.
4. Tell whether the ratios form a proportion 4/7 the 4 is on top of the 7 24/35 the 24 is on top of the 35. 5. Tell whether the ratios form a proportion 11/12 11 top of the 12 33/36 33 on top of the 36. 6. 8/24 8 on top of 24 5/15 5 on top of the 15. 7.3/7 3 is on top of the 7 12/21 12 top of the 21 8. Tell whether the two rates form a proportion 25 cars in 5 days; 60 cars in 12 days.
9.14 books in 2 boxes; 20 books in 3 boxes.
10.On a monday you swim 12 laps in 30 minutes. On tuesday you swim 15 laps in 45 minutes are these rates porportional? Explain.
Answer and explanation:
1. 15 girls to 6 boys = 15:6
15/6= 5/2
2. 24 players to 3 teams = 24:3
24/3= 8/1=8
3. 48 worksheets to 12 students =48:12
48/12= 4/1
4. 4/7 and 24/35 are not proportional as they do not reduce to same ratio
5. 11/12 and 33/36 are proportional because they reduce to same same ratio(33/36=11/12)
6. 8/24 and 5/15 are proportional beacaue they reduce to same ratio(8/24=5/15=1/3)
7. 3/7 and 12/21 are not proportional because they do not reduce to same ratio(3/7≠12/21)
8. 25 cars in 5 days= 25/5= 5 cars each day. 60 cars in 12 days = 60/12=5 cars each day. Therefore they are proportional.
9. 14 books in 2 boxes= 7 books per box. 20 books in 3 boxes = 20/3= 6.667. Therefore they are not proportional.
10. 12 laps in 30 minutes =12/30=2/5
15 laps in 45 minutes =15/45=1/3. Therefore they are not proportional.
what is the nearest number to 1000 but smaller than 1000 into which 38 will divide with no remainder
Divide 1000 by 38:
1000/ 38 = 26.316
Use the whole number and multiply it by 38:
26 x 38 = 988
The number is 988
What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?
Answer:
x = (-150)/49
Step-by-step explanation:
Solve for x:
49 x + 150 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 150 from both sides:
49 x + (150 - 150) = -150
Hint: | Look for the difference of two identical terms.
150 - 150 = 0:
49 x = -150
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 49 x = -150 by 49:
(49 x)/49 = (-150)/49
Hint: | Any nonzero number divided by itself is one.
49/49 = 1:
Answer: x = (-150)/49
Your uncle has said that if you agree to finish college he will give you equal payments of $1,000 at the end of each year for the next eight years.
If the annual interest rate stays constant at 6%, what is the value of these payments in today's dollars? (Note: Round your answer to the nearest
whole dollar.)
O $6,583
O $5,279
$7,763
$6,210
Mrs. Write makes cookies for the school bake sale. She uses the equation y=0.50x to determine the cost, y, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale?
A) 5 cookies per dollar
B) $2 per cookie
C) 50 cookies per dollar
D) $0.50 per cookie
Answer:D
Step-by-step explanation: just trust me on this one i have a 103% in 9th grade math
