Answer:
(a)
[tex]3 \sqrt{5} [/tex]
(b)
[tex] \frac{6}{ \sqrt{5} } [/tex]
Step-by-step explanation:
A(-3,0)
B(0,6)
[tex]d = \sqrt{{( - 3 - 0)}^{2} + {(0 - 6)}^{2} } = \sqrt{9 + 36} = 3 \sqrt{5} [/tex]
[tex]d = \frac{ax0 + by0 + c}{ \sqrt{ {a}^{2} + {b}^{2} } } [/tex]
2x-y+6=0
a=2, b=-1, c=6
x0=0, y0=0
[tex]d = \frac{6}{ \sqrt{4 + 1} } = \frac{6}{ \sqrt{5} } [/tex]
the solution for 12x^2-13x+3=0
Answer: X= 3/4
Simplified: 1/3
how do you know where to put the decimal point in problem 6?
6. 4 × 1.18
Answer:
just do 64 * 118 = 7552
count the decimal points in BOTH the items 1 for the 6.4
and 2 in the 1.18 1+2 = 3
so starting from the right move in "3" positions and
put a decimal point
7.552
Step-by-step explanation:
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
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!)
4.OA.2: The Turner family uses 548 liters of water per day. The Hill family uses 3 times as much water per day. How much more water does the Hill family use per day?
Answer:
1096 more water
Step-by-step explanation:
Let;
x = the water used in general
but used 3 times of the original = 3x
3*(548) = 1644 water a day
How much more water =New - original
where:
new = 1644
original= 548
1644 - 548
=1096 more water
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
hElP- please.
:) points!
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
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?
Find the perimeter of ΔNOP. Round your answer to nearest tenth if necessary. Figures are not necessarily drawn to scale
Answer:
P = 157.5 units
Step-by-step explanation:
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
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 :)
can i please get some help on this one?
Answer:
wht yr u in tis is too hard yk
Step-by-step explanation:
What is the slope, m, and y-intercept for the line that is plotted on the fried below…?
SOMEBODY PLEASE ILL GIVE BRAINLIEST AND FREE ROUBUX
Answer:
The y-coordinate is 4. The point is (2,4)
Step-by-step explanation:
The point is 4 units above the x axis.
Answer:
y-coordinate=4
Step-by-step explanation:
PLEASE HELPP ILL GIVE 20 POINTS
Answer:
C=20
Step-by-step explanation:
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]
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
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 sum of the series
√2 - 2 + 2√2 +__+64√2.
Step-by-step explanation:
The question is not clear to me
Given a line segment that contains the points A,B, & C in order, if AB = x, BC = x, and AC is equal to 36, then x = _____.
Select one:
a. 18
b. 6
c. 36
d. 12
Answer:
a. 18
Step-by-step explanation:
AB+BC = AC
x + x = 36
2x = 36
x = 36/2
x = 18
Question in the image
Answer:
c
Step-by-step explanation:
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
Arrange the numbers as they appear from left to right on a horizontal number line.
2.85
-1.58
-2.5
-1.85
-2.57
-2.76
2.5
Answer:
-2.76, -2.57, -2.5, -1.85, -1.58, 2.5, 2.85
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]
x + 9x + 5 = 35 . Find value of x.
Answer:
x = 3
Step-by-step explanation:
x + 9x + 5 = 35
=> x + 9x = 35 - 5
=> x + 9x = 30
=> 10x = 30
=> x = 30/10
=> x = 3
Answer:
x = 3
Step-by-step explanation:
Combine like terms. Like terms have same variable with same exponent.
Here x and 9x are like terms
x + 9x + 5 = 35
10x + 5 = 35
Subtract 5 from both sides
10x + 5 - 5 = 35 - 5
10x = 30
Divide both sides by 10
10x/10 = 30/10
x = 3
Find the greatest common factor of these three expressions.
6,63x^2, and 9x
Answer:
126x9
Step-by-step explanation:
f(x)=2^x by a factor of five
What is the equation of the following line?
Answer:
c. y = -4x
Step-by-step explanation:
use slope formula