Write an
equation of a line in slope-intercept form that passes through (5, 2) with a slope of -2.
Answer:
y=-2x+12
Step-by-step explanation:
This is an equation in slope-intercept form:
y=mx+b (where m is the slope and b is the y-intercept)
We are given the slope, -2.
y=-2x+b
We plug in the values (5,2):
2=(-2)*5+b
2=-10+b
b=12
The equation is:
y=-2x+12
The two
triangles are similar.
What is the value of x?
Enter your answer in the box:
Answer:
x = 5
Step-by-step explanation:
Sides of large triangle: 4x and 15
Corresponding sides of small triangle: 3x + 1 and 12
[tex] \dfrac{4x}{15} = \dfrac{3x + 1}{12} [/tex]
[tex] 60 \times \dfrac{4x}{15} = 60 \times \dfrac{3x + 1}{12} [/tex]
[tex] 16x = 15x + 5 [/tex]
[tex] x = 5 [/tex]
A jewellery shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.
Answer:
Step-by-step explanation:
x is the original price.
420/x = 70% = 0.7
x = 420/0.7 = 600
Original price of bracelet was £600
3 is subtrated from 9 times 2 and 5 is added
Answer:
20
Step-by-step explanation:
9*2-3+5
18-3+5
15+5
20
Answer:
Its 20
Step-by-step explanation:
9 x 2 = 18
18 - 3 = 15
15 + 5 = 20
Find the volume of this sphere. Use 3 for pi.
Answer:
radius=16divided by 2
=8
Volume=4÷3πr^3
Volume=4÷3×3×8
Volume=96÷3
Volume=32
Evaluate the expression 2
2^5 = 32
Hope this helps! :)
Answer:
32
Step-by-step explanation:
[tex]2^{5}[/tex]
= 2 × 2 × 2 × 2 × 2
= 4 × 4 × 2
= 16 × 2
= 32
Find the measure of the indicated angle to the nearest degree using trig functions. (if you can also give me step by step on how to get the answer that would be great)
A) 21°
C) 20°
B) 70°
D) 9°
Answer:
A ; 21
Step-by-step explanation:
Here, the side facing the right angle is the hypotenuse and it has a measure of length 42
The side facing the missing angle is the opposite and it has a length of 15
The trigonometric ratio that connects the hypotenuse and the opposite is the sine
The sine of an angle is the ratio of the opposite to the hypotenuse
Thus;
sine ? = 15/42
sine ? = 0.357
? = arc•sim 0.357
? = 21 degrees
write y=2x^2-12x+16 in vertex form
Answer:
y = 2[tex](x - 3)^{2}[/tex] - 1
Step-by-step explanation:
y = 2[tex]x^{2}[/tex] - 12x + 16
y = 2([tex]x^{2}[/tex] - 6x + 8) ( Factor out 2 )
y + 9= 2([tex]x^{2}[/tex] - 6x + 9) + 8 ( Complete the square [tex](\frac{-b}{2} )^{2}[/tex] ) Add 9 both sides
y + 9 = 2 [tex](x - 3)^{2}[/tex] + 8 (Subtract 9 each side)
y = 2 [tex](x - 3) ^{2}[/tex] - 1 ( simplify )
Could anyone help me out with this?
Answer: they are abt the same its all abt percentage now- Pitcher A
Step-by-step explanation: more water lessens the strength
find the sum of the series
√2 - 2 + 2√2 +__+64√2.
Step-by-step explanation:
The question is not clear to me
If 2.2 pounds = 1 kilogram and Mary weighs 120 pounds, how much does she weigh in
kilograms?
Given:
2.2 pounds = 1 kilogram
Weight of Mary = 120 pounds.
To find:
The weight of Marry in kilograms.
Solution:
We have,
2.2 pounds = 1 kilogram
Using this conversion, we get
1 pound = [tex]\dfrac{1}{2.2}[/tex] kilogram
120 pound = [tex]\dfrac{1}{2.2}\times 120[/tex] kilogram
= [tex]\dfrac{120}{2.2}[/tex] kilogram
[tex]\approx 54.54[/tex] kilogram
Therefore, the weight of Mary is about 54.54 kilograms.
What are the values that go into the green box?
Answer:
The value belonging to the green box is b
Step-by-step explanation:
QP uses the points Q and P
Q is (0,-a)
P is (b,-c)
The distance between the two points can be calculated using the distance formula;
D = √(x2-x1)^2 + (y2-y1)^2
(x1,y1) = (0,-a)
(x2,y2) = (b,-c)
D = √(b-0)^2 + (-c + a)^2
D = √(b)^2 + (-c + a)^2
If anyone can help with this ill mark Brainly
Answer:
In this case, we can do substitution.
Step-by-step explanation:
For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x
For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3
And for the last one, (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10
Hope your happy with the answer :)
Solve the solution of this inequality 4/9x-10>x/3-12
What is the slope, m, and y-intercept for the line that is plotted on the fried below…?
A triangle has sides with lengths of 60 yards, 80 yards, and 100 yards. Is it a right triangle?
yes, it's a scaled version of a triangle with side lengths 3, 4 and 5.
by a factor of 20
a triangle with side lengths 3, 4 and 5 is a right triangle and it holds true for a²+b²=c², because 9+16=25
the 3,4,5-triangle is the simplest right triangle to calculate it's numbers seem somehow elegant.
the triangle in your problem is just a bigger version of it (wich means all angles stay the same).
My reasoning is lacking, but I'm sure
What is the hardest math problem ever?
Step-by-step explanation:
this is the hardest I think
The measure of an angle is eight times the measure of its supplementary angle. What is the measure of each angle?
Step-by-step explanation: X=10 DEGREES FOR THE SMALLER ANGLE. 8*10=80 DEGREES FOR THE LARGER ANGLE.
Answer:it’s 20 and 160 I’m doing ixl and this was the correct answer.
Step-by-step explanation:
which of the following give the highest future value is 6000000 is invested at 6% for 3 years
Answer:
$5084745.76271
Step-by-step explanation:
Given data
Final amount= $6000000
Rate=6%
Time= 3 years
Now let us find the initial amount which is the principal
using the simple interest formula we have
6000000 = P(1+0.06*3)
6000000 =P(1+0.18)
6000000 =P*1.18
P= 6000000 /1.18
P=$5084745.76271
Hence the initial deposite is $5084745.76271
D=22/7×d-90
Solve the equation.
Answer:
D=-90+22/7
Step-by-step explanation:
D= 22/7×d-90
D= -90+22d/7
PLEASE HELP ME ILL MARK YOU BRAINLIEST !!!!!!!!!!
Step-by-step explanation:
(1/2) / (1/3) = (1/2)(3/1) = 3/2 miles per hour = 1.5 miles per hour
Answer:
Step-by-step explanation:
to find the unit rate, which is what we are looking for, we have to divide the number of miles by the number of hours. Specifically:
[tex]\frac{\frac{1}{2} }{\frac{1}{3} }[/tex] and to work this out, we bring up the bottom fraction and flip it to multiply, giving us:
[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{1}[/tex] which is [tex]\frac{3}{2}[/tex] miles per hour (which is the same thing as walking a mile and a half every hour). The choice you're looking for is the one that reflects 3/2 miles per hour. (I can't see which choice it is; they're too small!)
Find the area of the rectangle.
A rectangle
Answer:
The formula to find the area of a rectangle is A=BH
so the area equals the base times the height
Hope This Helps!!!
Find all solutions to the equation.
cos x = sin x (6 points)
Answer:
Step-by-step explanation:
cos x=sinx
divide by cos x
1=tan x
tan x=1
[tex]tan x=1=tan \frac{\pi }{4}=tan (n\pi +\frac{\pi }{4})\\x=n\pi +\frac{\pi }{4} ,\\where~n~is~an~integer.[/tex]
Which of the following CANNOT be assumed from this image?
Answer:
that he lines are not going strait
Step-by-step explanation:
Monique wants to have an equal number of cups and napkins. What
is the least number of packages of cups and the least number of
packages of napkins Monique should buy to have an equal number
of cups and napkins?
f(x) = –2² – 9x
Find f(-2)
Answer:
22
Step-by-step explanation:
1.) -2²-9(-2)
2.) -2(-2)+18
3.) 4+18
4.) 22
Please helpppp
Find h
Answer:
the square root of 85 (so 85 is the answer)
Step-by-step explanation:
You can use the pythagorean theorem to find the height. So the sides of the triangle would contain the radius (4/2 = 2) and 9.
so, 2 squared plus 9 squared = 85
I hope this helps!
A ball rolls down and the distance traveled by the ball is given by d = 5t + t2/3 feet in t seconds. Find the time when the ball reaches the distance of 18 feet.
A sphere has a volume of 1,436.03m^3, what is the approximate length of its radius?
A
4.9 m
B
7.0 m
C
10.7 m
D
18.5 m
Answer:
B. 7.0 m
Step-by-step explanation:
steps are in the pic above
These points are linear.
Find the slope.
x-3 -2 -1 0 1/2
y-3 -2 -1 0 1 2
slope = [?]
Answer:
Slope = 4
Step-by-step explanation:
The slope of a linear equation can be calculated as;
m = y2-y1/x2-x1
What we have to do here is to select any two points ;
(x1,y1) = (3,8)
(x2,y2) = (6,20)
m = (20-8)/(6-3) = 12/3 = 4