Answer:
(2, 8)
Step-by-step explanation:
Given the system of equation
3x+2y=22 ... *4
-4x+3y=16 .... *3
Using the elimination method
12x + 8y = 88
-12x + 9y = 48
Add
8y + 9y = 88+48
17y = 136
y = 136/17
y = 8
Recall that
3x+2y=22
3x+2(8)=22
3x + 16 = 22
3x = 22-16
3x = 6
x = 6/3
x = 2
Hence the required solution (x, y) is (2, 8)
Help pls
Find x
a(21)
b(27)
c(9)
d(18)
9514 1404 393
Answer:
a. 21
Step-by-step explanation:
The external part of the hypotenuse of the right triangle is shown. The full length of the hypotenuse is 9+20 = 29. The Pythagorean theorem can be used to find x.
x^2 +20^2 = 29^2
x^2 = 841 -400
x = √441
x = 21
__
Alternate solution
The diameter of the circle is 2·20 = 40 units, so the product of distances from the external vertex to the opposite sides of the circle along the secant is (9)(40+9). The product of the distances along the tangent is x·x. These two products are equal, so ...
x^2 = 9(49)
x = (√9)(√49) = 3·7
x = 21
Please help me asap. No links please
8th Grade
Answer:
Option P √2.5²-1.2²
Step-by-step explanation:
a = distance between Toby's House and the playground = 1.2 inches
b = distance between the playground and Toby's Friend's House = unknown
c = distance between Toby's House and Toby's Friend's House = 2.5 inches
Use the Pythagorean Theorem to calculate the side length of b:
a²+b²=c²
b²=c²-a²
b=√(c²-a²)
b=√(2.5²-1.2²)
Therefore, option P is correct.
Answer: it is p
Step-by-step explanation:
if my class starts at 11:45 am and ends at 1:15 pm but I leave early at 12:30 pm how much time have I spent in class?
Answer:
45 minutes
Step-by-step explanation:
you can disregard the 1:15 pm time
Answer:
45 minutes.
Step-by-step explanation:
You can ignore the 1:15 pm, as it's not relevant to the question of how much time you have spent in class.
11:45am to 12:30pm
Adding 15 minutes turns 11:45 am to 12:00 pm
Add another 30 minutes, it becomes 12:30 pm.
Calculate the sum of the minutes:
15+30 = 45 minutes.
Write an equation of the line that passes through the given point P and has the given slope m.
P(9,4)
m = -1/3
9514 1404 393
Answer:
y -4 = -1/3(x -9)
Step-by-step explanation:
The point-slope form of the equation for a line is useful for this.
y -k = m(x -h) . . . . . . . line through point (h, k) with slope m
You are given (h, k) = (9, 4) and m = -1/3. Putting these values into the form gives the equation ...
y -4 = -1/3(x -9)
I dont know what To Put here srry
There is a question here it pic
Answer:
31.4 OR 10π
Step-by-step explanation:
circumference of the circle: 2 × 3.14(π) × radius
the radius in the circle shown is 5
2 × 3.14 × 5 = 31.4
or
2 × π × 5 = 10π
find hcf of 3x²+7x-6 and 2x²+7x+3
Given:
The expression are:
[tex]3x^2+7x-6[/tex]
[tex]2x^2+7x+3[/tex]
To find:
The HCF of the given expression.
Solution:
We have,
[tex]3x^2+7x-6[/tex]
[tex]2x^2+7x+3[/tex]
The factor form of given expressions are:
[tex]3x^2+7x-6=3x^2+9x-2x-6[/tex]
[tex]3x^2+7x-6=3x(x+3)-2(x+3)[/tex]
[tex]3x^2+7x-6=(x+3)(3x-2)[/tex]
Similarly,
[tex]2x^2+7x+3=2x^2+6x+x+3[/tex]
[tex]2x^2+7x+3=2x(x+3)+1(x+3)[/tex]
[tex]2x^2+7x+3=(x+3)(2x+1)[/tex]
From the factor forms it is clear that the factor [tex](x+3)[/tex] is common.
Therefore, the HCF of given expressions is [tex](x+3)[/tex].
A truck is painting traffic lines along a highway the truck paints 8 miles of lines in 3 hours at the rate how many miles can a truck paint in 12 hours.
Answer:
The truck can paint 32 miles in 12 hours.
Geometry help please. What is J? What is G?
Answer:
j = 32
g = 78
Step-by-step explanation:
because they are similar you can use CPCTC corresponding parts of congruent triangles are congruent to determine f = j and h = g
Jodie has 68 red marbles and 272 blue marbles. What percent of Jodie’s marbles are red?
Answer:
20%
Step-by-step explanation:
To do this we need to find the total number of marbles
272 + 68 -> 340
Now we divide 340 by 68 to get
68/ 340 = .2
Multiply by 100 because percent means PER 100 so to get this decimal in percent form multiply by 100
.2 * 100 = 20%
20% of Jodie's marbles are red
answer only thx thx IMAOSJSJA
Answer:
5) 48
6) 60
Step-by-step explanation:
Find the geometric mean of the pair of numbers. Give your answer in simplest radical form.
1/4 and 4
Answer:
1
Step-by-step explanation:
The geometric mean of two numbers is the suqre root of their product
=sqrt(1/4*4)
=sqrt(1)
=1
what is the mean price of $29 $58 $15 $129 $75 $22
What is the area of a garden plot that measures 6 1/2 feet by 4 feet?
Answer:
26 sq. ft.
Step-by-step explanation:
So 6 1/2*4
6*4=24, 1/2*4=2
24+2=26
Can someone please help me on this homework ASAP!!
Answer:
Step-by-step explanation:
Multiply each term of (x² + 2x - 1) by x and multiply each term of (x² + 2x - 1) by 3
Area of parallelogram = bh
= (x² + 2x - 1)(x + 3)
= (x² + 2x - 1)*x + (x² + 2x - 1)*3
=x²*x + 2x*x - 1*x + x²*3 +2x*3 - 1*3
= x³ + 2x² - x + 3x² + 6x - 3
= x³ + 2x² + 3x² -x + 6x - 3
= x³ + 5x² + 5x - 3
Brook makes this conjecture: Because the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal.
Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
[tex]\Delta Sector=\dfrac{1}{2}r^2\theta[/tex]
Whereas the area of a circle for a radius r is given as
[tex]\Delta Circle=\pi r^2[/tex]
Now the ratio is given as
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}[/tex]
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }[/tex]
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
A triangle has side lengths of 17 inches, 19 inches, and 10 inches. What kind of triangle is it?
Answer:
Scalene triangle
Step-by-step explanation:
a scalene triangle has 3 uneven sides
Zoe runs a market in the city of Manila. Half of the canned drinks in stock were sold out. Zoe bought 68 more canned drinks to restock her supply. If there is a total of 200 cans now, how many canned drinks were in stock initially?
Answer:
264 canned drinks
Step-by-step explanation:
Let
canned drinks in stock initially = x
Canned drinks sold out = 1/2 of x
= 1/2x
Canned drinks remaining in stock = x - 1/2x
= 1/2x
New restock = 68 canned drinks
Total drinks in stock presently = Canned drinks remaining in stock + New restock
200 = 1/2x + 68
200 - 68 = 1/2x
132 = 1/2x
x = 132 ÷ 1/2
= 132 × 2/1
x = 264 canned drinks
canned drinks in stock initially = x = 264 canned drinks
What is the range?
981356 mean and median
Answer:
mean: 15
median: 14
mode: 13
range: 8
PLZ help for branliest answer. I NEED CORRECT ANSWER
hii please help i’ll give brainliest
Answer: Point K
Step-by-step explanation:
The first number is the x line and the second number is the y line <3 pls mark brainliest
Matt's savings account earns 2% interest each year. He had $200.00 in his savings account
at the beginning of the first year. If he did not deposit or withdraw any money, what is the
value of Matt's savings account at the end of the second year?
Answer:
208.08
Step-by-step explanation:
math
Answer:
204
Step-by-step explanation:
2% of 200 is 2 so after second year it will be 200,+2+2 that is 204
a circle has a radius of sqrt37 units and is centered at 1.3,-3.5
Answer:
80
Step-by-step explanation:
Answer:
(x-1.3)^2 + (y+3.5)^2 = 37
In general, (x-c)^2 + (y-k)^2 = r^2 where (c,k) is the center and r is the radius.
So if the circle with radius 5 has center (3,-4) then it's equation is:
(x-3)^2 + (y+4)^2 = 25
Notice that the second term is (y+4)^2 because the y-coordinate is -4 and y-(-4) = y+4
The scale factor of the scale model of a desk to the actual desk is represented by the ratio 1:16. If the dimensions of the model desk are 2 inches wide by 3.75 inches long what is the actual area of the top of the desk?
PLS HELP WILL GIVE BRAINY THINGY TO CORRECT ANSWER PLUS 100 POINTS!!!
Toby is choosing a bank account.
He wants to invest his money for 5 years.
Account 1: 7.2% interest paid at the end of 5 years.
Account 2: 1.49% compound interest, paid annually.
Account 3: 1.9% simple interest on the starting amount, paid annually.
How much interest will Toby earn on £1000 with each account?
Round your answers to the nearest penny.
Write down which account Toby should choose in the comment box.
Account 1: £
Account 2: £
Account 3: £
Answer:
Account 1: £720, account 2: £1227.38, account 3: £950.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters. What is the area of the disk to nearest hundredth. ** Use 3.14
A. 18.84
B. 28.26
C. 91.06
D. 113.04
Answer:
B. 28.26
Step-by-step explanation:
Need help. Find the value of x
Answer:
Step-by-step explanation:
14
The 10 students in the Environmental Club represent 10% of the students in the seventh grade. How many students are in the seventh grade?
Answer:
100 students
Step-by-step explanation:
10% of students in 7th grade ----- 10 students
Divide by 10 on both sides:
1% of students in 7th grade ----- 10 ÷10= 1 student
×100 on both sides:
100% of students in 7th grade ----- 1 ×100= 100 students
Answer:100
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
A
Step-by-step explanation:
x is greater than 2 so all numbers bigger than 2 will be shaded. the circle is open because its not less than or equal to or greater than or equal to.
Why is it not possible to make a right triangle using lengths of 4 feet, 8 feet, and 10 feet?
Answer:
because it does not follow the rule... you should be able to and any to side lengths and get an answer greater than the third side.
Tina paid $6.60 for some $0.15 stamps and some $0.20 stamps. She bought 37 stamps in all. How many of each kind did she buy?
PLS HELP
Answer:
1 set of A= $0.15
1 set of B= $0.20
Total Stamps bought = 37
Total purchase = 37
Let X= Set A of $0.15 each
Y= Set B of $0.20 each
x+y = 37----------X=37-Y
0.15X + 0.20Y = 6.60
0.15(37-Y) + 0.20Y = 6.60
5.55- 0.15Y + 0.20Y =6.60
0.05 Y = 6.60-5. 55
Y=1.05/ 0.05= 21
X= 37-21= 16