Answer:
y = 3/2x + 7/2
Step-by-step explanation:
First, you need to find the slope.
y2 - y1 / x2 - x1
= 5 - 8 / 1 - 3
= 3/2
The slope is 3/2x.
To find the y-intercept, plug any one of the coordinates into the equation, which is y = 3/2x + b
y = 3/2x + b
8 = 3/2(3) + b
8 = 9/2 + b
7/2 = b
The equation y = 3/2x + 7/2.
Which properties describe the graph of (x + 5)2 + (y – 10)2 < 169?
a. circle with center at (–5, 10), shading inside the circle
b. circle with center at (5, –10), shading inside the circle
c. circle with center at (5, –10), shading outside the circle
d. circle with center at (–5, 10), shading outside the circle
Answer:
a. circle with center at (–5, 10), shading inside the circle
Step-by-step explanation:
I have a quizlet for those towards the end of the course aka Cameron its
HELI KADAKIA to study ofc
The graph of (x + 5)² + (y – 10)² < 169. The circle with centre at (5, –10), shading inside the circle. The correct option is B.
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given equation of the graph is f(x + 5)² + (y – 10)² < 169. When we plot the equation we get the circle having an inside shaded part. The coordinates of the circle are (5,-10).
Therefore, the graph of (x + 5)² + (y – 10)² < 169. The circle with centre at (5, –10), shading inside the circle. The correct option is B.
To know more about circles follow
https://brainly.com/question/24375372
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find the value of x in a triangle. x-20, x+10, x-20
The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)
Sum of all the interior angles of a triangle is 180°.
So a equation can be made by the given data,
(x-40°) + (x-20°) + (½ x-10°) = 180°
x-40°+x-20°+½x-10° = 180°
2x+½x -60°-10° = 180°
5/2 x - 70° = 180°
5/2 x = 180° + 70°
5/2 x = 250°
x = 250° × 2/5
x = 50° × 2
x = 100°
So the angles are
x-40° = 100°-40° = 60°
x-20° = 100°–20° = 80°
½x-10° = ½(100)° - 10° = 50° -10° = 40°
The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.
60° + 80° + 40° = 100° + 80° = 180°
what is the area of the trapezoid?
Answer:
A=a+b
2h=10+20
2·6=90
Step-by-step explanation:
HAVE A GREAT DAY
a. What is the circumference of the
largest circle that can be cut from a
square measuring 30 cm on a side?
Use 3.14 for T.
b. What percent of the perimeter of the
square is the circumference of the
circle?
Answer:
Step-by-step explanation:
a. The diameter of the circle will be 30 cm
So circumference is 3.14 * 30 = 94.2 cm.
b. Required percentage = (94.2) * 100 / (4*30)
= 78.5%.
What is the area of a circle if the diameter is 9cm?
Round to the nearest hundredth (0.01cm2)
Answer: A≈63.62
Step-by-step explanation:
9/2= 4.5
A=πr2=π·4.52≈63.61725
Answer:
To find the area of a circle we have [tex]\pir^{2}[/tex] and the radius is half of the diameter so we have 4.5² which gives 16.25π
The radius of a circle is 8 units.
What is the diameter of the circle?
units
Answer:
16
Step-by-step explanation:
radius is 1/2 of diameter
Answer:
16 units
Step-by-step explanation:
When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.
Find the cosine of angle E.
A) 39/80
B) 39/89
C) 80/39
D) 80/89
Answer:
B) 39/89
Step-by-step explanation:
With reference angle E
hypotenuse (h) = 89
base (b) = 39
cosine angle E
= b /h
= 39/89
A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.
Please use an algebraic equation to find the answer and show your working out if possible!!
Answer:
8 and 36
Step-by-step explanation:
let the daughter's age be x then father is x + 28
In 6 years their ages are
x + 6 and x + 28 + 6 = x + 34
Father is 3 times her age , then equation is
x + 34 = 3(x + 6) ← distribute
x + 34 = 3x + 18 ( subtract x from both sides )
34 = 2x + 18 ( subtract 18 from both sides )
16 = 2x ( divide both sides by 2 )
8 = x
Daughter's age is 8 and father's age is 8 + 28 = 36
Division in a given ratio
In a class of 30 pupils the ratio of the number of boys to the number of girls is 7 : 8. How many girls are there?
Step-by-step explanation:
let the ratio 7:8 be 7x and 8x.
now
7x+8x=30
or, 15x=30
or, x= 30/ 15
or, x= 2
here
no. of boys = 7x= 7*2 = 14
no. of girls= 8x = 8*2= 16
hope this helps u...
Answer:
16 girls
Step-by-step explanation:
sum the parts of the ratio, 7 + 8 = 15 parts
Divide the number of pupils by 15 to find the value of one part of the ratio.
30 ÷ 15 = 2 pupils ← value of 1 part of the ratio, then
8 parts = 8 × 2 = 16 ← number of girls
Factor the expression 8a + 16c
-2(a - 8)
6(a - 3c)
4c(2a - 4)
8(a + 2c)
Part B
Based on your answer to the previous question, evaluate the expression for a=4 and c= 3.
-30
48
80
8
How long is the wire that supports the tree
10
5.6 ft
3.3 ft-
ASAP PLEAE HELP
I WILL GIVE BRAINEST
FIND THE INDICATED MISSING ANGLE MEASURE.
ROUND THE ANGLE MEASURE TO THE NEAREST WHOLE DEGREE.
Answer:
21.801
Good luck
What is the exact area of a circle with a radius of 12 feet? 24π Square Feet 36π Square Feet 121π Square Feet 144π Square Feet Question 2. What is the approximate area of the circle? Use π = 3.14 (the circle has 10.4 inside it) 32.7 square centimeters 65.2 square centimeters 108.2 square centimeters 339.6 square centimeters Question 3. What is the approximate area of a circle with a radius of 28 centimeters? Use π = 3.14 87.9 square centimeters 175.8 square centimeters 2461.8 square centimeters 4923.5 square centimeters Question 4. What is the approximate area of a circle with a diameter of 50 centimeters? Use π = 3.14 87.9 square centimeters 379.9 square centimeters 1962.5 square centimeters 4923.5 square centimeters
Answer:
144πfeets² ; 339.6 cm² ; 2461.8 cm² ; 1962.5 square centimeters
Step-by-step explanation:
Area of a circle, A = πr²
1.)
with a Radius of 12 feets
A = π * 12² = 144πfeets²
2.)
Approximate area :
3.14 * 10.4² = 339.6224 feet²
3.)
with a Radius of 28 cm
A = 3.14 * 28² = 2461.76cm²= 2461.8 cm²
4.
Diameter = 50 cm ; Radius = 50/2 = 25
with a Radius of 25 centimeter
A = 3.14 * 25² = 1962.5 cm²
At the most recent dance ASB sold 143 tickets and collected $1470 of students sold for $10.00 and teachers tickets sold for $15.00 how many teachers attended the dance
Answer:
8
Step-by-step explanation:
1470 = 10s+15t
143 = s+t
1470 = 10(143-t)+15t
40 = 5t
8 = t
solve the inequality
10 - 6x < 70
Answer:
x > -10
Step-by-step explanation:
10 - 6x < 70
-10 -10
-6x<60
/-6. /-6
(flip sign)
x>-10
Answer:
This is the answer x < 5
2 × 10^12 red blood cells have a total mass of 90 grams.
Work out the average mass of 1 red blood cell.
Give your answer in standard form.
Answer:
2×10¹² cells → 90 g
mass of 1 red blood cell : 90÷(2×10¹²) = 45×10^-12 g = 4.5×10^-11 g
How did you compute sums of dollar amounts that were not whole numbers?
Answer:
$7.34
Step-by-step explanation:
To compute sum of dollars that are not whole numbers. Using the sum of$5.89 and$1.45 as an illustration :
$5.89 + $1.45
Taking the whole numbers first:
$5 + $1 = $6
Take the sum of the decimals :
$0.89 + $0.45 = $1.34
Sum initial whole + whole of sum of decimal
$6 + $1 = $7
Remaining decimal : $1.34 - $1 = $0.34
$7 + $0.34 = $7.34
Which data set could be represented by the box plot shown below?
Answer:
The answer is C
Step-by-step explanation:
It starts at 25 and then it stops at 38.
I hope this helps!
Answer:
hi
Step-by-step explanation:
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+2=3 (x-6)
Answer:
Step-by-step explanation:
It x=2
Your friend uses 2 1/2 ounds of dried fruit and 1/2 pound of raisins to make trail mix.How many 1/2 pound packages can he make.
Answer:
he can make 6 because 2 and 1/2 plus 1/2 = 3 and 3 divided by 2 is 6
Step-by-step explanation:
what is the value of x and y?
Answer:
The right answer is x = 8, y = 40.
Step-by-step explanation:
Since this triangle is isosceles we know that...
∠ACB = ∠ABC
40° = (5x)°
40 = 5x
x = 40 / 5
x = 8
We also know that the sum of all angles inside the triangle is equal to 180°, therefore...
∠BAC = 180° - ∠ACB - ∠ABC
(2y + 20)° = 180° - 40° - 40°
2y + 20 = 100
2y = 100 - 20
2y = 80
y = 80 / 2
y = 40
From this, we know that the right answer is x = 8, y = 40.
Ten friends shared a bag of popcorn. Using p to represent the bag of popcorn, which expression represents the amount each friend received? *
1 point
p / 10
10 - p
10p
10 + p
Which of the following statements about the image below is true
Answer:
It is answer 3
Step-by-step explanation:
37.286 to the nearest hundredth
Answer:
37.3
Step-by-step explanation:
Answer:
37.29
Step-by-step explanation:
A store advertises 15% off an item that regularly sells for $300. what is the sale item? how is a 15% discount similar to a 15% decrease? Explain.
Answer: $255
Step-by-step explanation:
A store advertises 15% off an item which sells for $300. The sale item will then be calculated as:
= $300 - (15% × $300)
= $300 - (0.15 × $300)
= $300 - $45
= $255
The sales price is $255.
A 15% discount is similar to a 15% decrease because in both cases, one has to subtract the value of 15% from the selling price.
Helpppppp please look at the picture i added
(I need help ) the graph shows the relationship between the
number of cubic yards of soil ordered and the
total cost of the soil delivered.
Answer:
80/320
Step-by-step explanation:
answer is given
Solve each of these equations.
1. 2(x+5)=3x+1
2. 3y−4=6−2y
3. 3(n+2)=9(6−n)
Answer:
1. x=9
2. y=2
3. n=4
hello just helping out!
find the simple interest principle 950 interest rate 12% time 4 years
Answer:
A= $1406
Step-by-step explanation:
The formula for simple interest is A=P(1+rt), where P=Principal, R=Rate, and T=Time. Before you plug your numbers into your formula, you must first convert 12% to a decimal (This is simple because all you have to do is divide 12 by 100.)- 0.12.
Now, you can plug your numbers into the formula: A=950(1+0.12x4). To make this less complex, I suggest working in the parenthesis first- specifically simplifying rt, or multiplying 0.12 by 4 (you should get 0.48)! Now, you are just about ready to go. A=950(1+0.48)- You can plug this into your calculator as is, or you can go on ahead and add the numbers in the parenthesis if that makes you feel better! (You should get 1.48).
Your final formula should be 950(1.48), and you should plug this into a TEACHER-APPROVED CALCULATOR to save time!
Your final answer should be $1406, otherwise you did something wrong! XD!
Which fraction is equal to 36%?
Answer:
[tex] \frac{36}{100} = \frac{9}{25} [/tex]
Step-by-step explanation:
3600%/100% cancel them you will get 36% answer..