Answer:
5
Step-by-step explanation:
To find the distance between two points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points into the appropriate places of the formula and solve:
[tex]d = \sqrt{((-1)-(3))^2+((4)-(7))^2} \\d = \sqrt{(-1-3)^2+(4-7)^2} \\d = \sqrt{(-4)^2+(-3)^2} \\d = \sqrt{16 + 9 } \\d = \sqrt{25} \\d = 5[/tex]
Thus, the distance is 5 units.
find the measure of the angle pic added
Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.
Pythagorean theorem.
a^2+b^2=c^2
This means that the square of the length of the 2 legs of a right triangle added together = the square of the length of the hypotenuses or diagonal.
If you know 2 of the values in the 3 variables a,b,c what would you do to find the missing variable value?
I will not write the exact answers to this problem. I think you can figure how to write it out yourselves.
so what exactly is a,b,c
i rlly need help. plssssss
Answer:
10
Step-by-step explanation:
5 x 8 / 4
40/4=10
After a discount of 40%, the sale price of a ride pass at a fun park is $30. What is the original
price?
Answer:
30 divided by 0.40 = 75
The original price was $75
Step-by-step explanation:
30 divided by 0.40 = 75
The original price was $75
porfa ayuda:
Dibuja un triángulo isósceles y se divide
su base en 4 partes iguales. Identifica los
triángulos congruentes pintándolos del
mismo color.
Answer:
Ignore los puntos.
Ignore the points.
QUICK HELP PLEASE
Robert found an old game in a closet and and wanted to play it. However, a Portion of the spinner shown at the right could not be read. Find the missing portion of the spinner for Robert.
Answer:2/36 or 1/18
Step-by-step explanation:
ANSWER:
2/36
EXPLANATION: Find what the gcf factor of all the denominators are the gcf of all the denominators is 36 but what you do to the top do to the bottom then add 3/36+4/36+6/36+9/36+12/36=34/36 so you need 2/36 to have a full circle
what is -5/9 = -10/3 v
Answer:
v= 1/6
Step-by-step explanation:
1. Simiplify 10/3v = 10/3v -5/9= -10v/3
2. Multiply both sides by 3
3. Use this rule : a/b × c = ac/b
4. 5× 3= 15 -15/9= -10v
5. Simiplify 15/9 = 5/3 -5/3 = -10v
6. Divide both side by -10 -5/3/-10=v
7. Two negative make a postive 5/3/10 = v
8. Simplify 5/3/10= 5/3×10
9. Simplify 3×10=30 5/30=v
10. Simplify 5/30 = 1/6v
11. Swith sides v= 1/6
if f(x)=2x-1 and g(x)=3x+5, then (f*g)(x) is equal to
gud evng have a gud day
hope u enjoy ur day
(F*g)(x) means to multiply the two equations.
Multiply each term by each term:
2x-1 * 3x+5 =
2x * 3x + 2x*5 + (-1)*3x + (-1)*5 =
6x^2 + 10x -3x -5 =
6x^2+7x-5
Action game rental charges $25 membership fee at eight to rent a video game Bob’s easy game rental charge is $13 to rent a video game if you run in the same number of games from each business after running how many games with the overall cost be less for action game rental
division is 1.92307692308
multiply is 325
Find the value of the cosine for ZA.
A
8 ft
B
С 5 ft
5489
C.
889
a.
89
89
d.
oo la
b.
4.89
89
Answer:
C. [tex] \frac{8\sqrt{89}}{89} [/tex]
Step-by-step explanation:
Cos A = Adj/Hyp
Reference angle = <A
Adjacent side = 8 ft
Hypotenuse = √(8² + 5²) = √89 (pythagorean theorem)
Thus:
[tex] Cos (A) = \frac{8}{\sqrt{89}} [/tex]
Rationalize
[tex] Cos (A) = \frac{8 * \sqrt{89}}{\sqrt{89} * \sqrt{89}} [/tex]
[tex] Cos (A) = \frac{8\sqrt{89}}{89} [/tex]
Suppose x is any positive number.
Circle 1: center (0, 0) and radius 2x
Circle 2: center (0, 0) and radius 10x
Why is circle 1 similar to circle 2?
Answer:
Step 1: Determine why circle 1 is similar to circle 2
The reason why circle 1 is similar to circle 2 is that they both expand at the same rate. While x grows larger, both circle 1 and circle 2 grow at a proportional rate. Circle 2 grows is 5 times bigger than circle 1 given any value 5.
When x = 3: circle 1 = 6 and circle 2 = 30
When x = 10: circle 1 = 20 and circle 2 = 100
Answer:
Circle 2 is a dilation of circle 1 with a scale factor of 5.
Step-by-step explanation:
Took the quiz and got a perfect score :)
Can someone help meeeee ??
Answer:
Bottom left graph, ∠a + ∠b = 180°, ∠a + ∠b = 90°, ∠a + ∠b = 90°
Step-by-step explanation:
For the first problem, we can look at the slope. The slope of the equation is negative. The line has to be similar to the bottom slant of the letter "K".
There are two lines that are similar and have the same y-intercept, so it's just a matter of which slope matches.
The slope is -1, so that means to find a different point we go down 1 and right 1.
The only point that's the same on the two lines are (0, 3).
When go down 1 and right 1, the point should be: (1,2)
The only line that satisfy this is the bottom left graph.
For problem 2, ∠a and ∠b must add up to 180°.
So the equation for problem 2 is: ∠a + ∠b = 180°
For problem 3, ∠a and ∠b are equal because they're opposite angles.
So the equation for problem 3 is: ∠a = ∠b
For problem 4, ∠a and ∠b must add up to 90°.
So the equation for problem 4 is: ∠a + ∠b = 90°
For problem 5, ∠a and ∠b must add up to 90°, since the other angle is 90°, which is half to 180°.
So the equation for problem 5 is: ∠a + ∠b = 90°
1) Solve for x
4x + 3 = 3x - 5
A) 8
C) -8
D) 2
B) -2
IA...
Perhatikan gambar di bawah ini!
R
doſ 1
OD adalah jari-jari lingkaran dalam segitiga PQR. Jika RQ-28 cm, PR
2D siku-siku dan PD-DQ. hitunglah :
a. Luas segitiga PQR
b. Panjang OD
c. Panjang OQ
ng
JAWABAN
² = QR² - QT²
= 13² - 5²
= 169 - 25
= 144
TR = √144
TR = 12 cm
Menentukan panjang PR
PR = 2 × TR
= 2 × 12 cm
PR = 24 cm
what is the distributive property for 15x+25?
Answer:
5(3x+5)
Step-by-step explanation:
Answer:
5(3x + 5)
Step-by-step explanation:
Factor out 5 of 15x + 25 then you'll get your answer.
Hope this helps:)
What is the midpoint of the segment (2,4) (2,-7)
Answer:
b
Step-by-step explanation:
Danielle said she read 1/2 of a book select all the fractions that are equivalent to 1/2
The piecewise function h(x) is shown on the graph.
What is the value of h(3)?
O -2
O -1
• 1
0 2
Answer:
00
Step-by-step explanation:
What is the answer for this?
Answer:
Proved
Step-by-step explanation:
Given
[tex](2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Required
Prove
On the right hand side, we have:
[tex]2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Rewrite:
[tex]2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
[tex]6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Apply law of indices
[tex]6* 10^{2+5} = 3.5 * 10^7 + 2.5 * 10^7[/tex]
[tex]6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Express 6 as 3.5 + 2.5
[tex](3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Open bracket
[tex]3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Proved
5. }(m+4)
Help plz.........
Answer:
i need to know what the answer is to solve for m
Step-by-step explanation:
use an inequality symbol(<, > , =,< to
compare-3+7 -10 -2
The equation y = -3 is a example of linear function. Why?
Explanation:
We can rewrite y = -3 as y = 0x-3 or y = 0x+(-3)
Compare that to y = mx+b and we can see that m = 0 is the slope and b = -3 is the y intercept. The slope of 0 indicates a horizontal line.
We can think of it is as slope = rise/run = 0/1 = 0. A rise of 0 tells the reader "the graph does not go up or down at all". Every point on the line y = -3 has y coordinate of -3. Two such points are (0,-3) and (1,-3).
if the mean of the numbers 2x,3x,4x and 3x is 12,then the sum of the numbers is?
a)4
b)12
c)48
d)80
Answer:
C. 48.
Step-by-step explanation:
If the mean is 12, then 12 must be 2x, 3x, 4x, and 3x divided by 4.
--> [tex]\frac{2x+3x+4x+3x}{4}=12[/tex]
--> [tex]\frac{12x}{4}=12[/tex]
--> [tex]\\3x=12[/tex]
--> x=4
Add: 2x+3x+4x+3x=8+12+16+12=48
A motorboat takes 3 hours to travel 108 kilometers going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water:
Rate of the current:
Answer:
45; 9
Step-by-step explanation:
1) if the rate of the boat in still water is 'b' and the rate of the current is 'c', then it is possible to write the rate of the boat going upstream: b-c, downstream: b+c.
2) the basic formula is: D=r*t, where D - distance, r - rate/velocity, t - time;
3) according to the condition it takes 3 hours to travel 108 km upstream, it means according to the formula above 3(b-c)=108;
4) according to the condition it takes 2 hours to travel 108 km downstream, it means according to the formula above 2(b+c)=108;
5) if to make up the system of two equations, then:
[tex]\left \{ {{3(b-c)=108} \atop {2(b+c)=108}} \right. \ => \ \left \{ {{b=45} \atop {c=9}} \right.[/tex]
6) rate of the boat in still water: 45 km/h;
rate of the current: 9 km/h.
Question 3 (1 point) Co-60 has a half life of 5.3 years. If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage? Answer = grams Blank 1:
Answer:
464 grams.
Step-by-step explanation:
Amount of substance:
The amount of substance after t years is given by an equation in the following format:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Co-60 has a half life of 5.3 years.
This means that:
[tex]A(5.3) = 0.5A(0)[/tex]
We use this to find r. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{5.3}[/tex]
[tex](1-r)^{5.3} = 0.5[/tex]
[tex]\sqrt[5.3]{(1-r)^{5.3}} = \sqrt[5.3]{0.5}[/tex]
[tex]1 - r = 0.5^{\frac{1}{5.3}}[/tex]
[tex]1 - r = 0.8774[/tex]
So
[tex]A(t) = A(0)(0.8774)^{t}[/tex]
If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage?
We have that [tex]A(26.5) = 14.5[/tex], and use this to find A(0). So
[tex]A(t) = A(0)(0.8774)^{t}[/tex]
[tex]14.5 = A(0)(0.8774)^{26.5}[/tex]
[tex]A(0) = \frac{14.5}{(0.8774)^{26.5}}[/tex]
[tex]A(0) = 464[tex]
464 grams.
Can someone please help
Answer:
5y + 8
and
8y +5 are the same solutions.
What is the middle term of the trinomial from (3x+5) (4x-3)
Answer:
11x
Step-by-step explanation:
To find it, you can simply expand the expression
(3x + 5)(4x - 3)
= 3x(4x - 3) + 5(4x - 3)
= 12x² - 9x + 20x - 15
= 12x² + 11x - 15
A cell phone call costs $0.08 per minute. How much would a 6-minute call cost?
Answer:
28.8
Step-by-step explanation:
0.08x60 sec
4.8x6
28.8
Help me please......
Answer: 46
Step-by-step explanation:
Let the 3 consecutive even numbers be x, (x-2) and (x+2) respectively.
According to the question,
x + (x - 2) + (x + 2) = 132
or, x + x - 2 + x + 2 = 132
or, 3x = 132
or, x = 132 ÷ 3
or, x = 44
So, first even number = 44
Required third number = 44 + 2
= 46