Answer:
4
Step-by-step explanation:
The distance between the points (-1,2) and (-5,2)
[tex] \sqrt{( - 5 - ( - 1)) ^{2} + (2 - 2) ^{2} } \\ = \: \sqrt{( - 4)^{2} + (0) ^{2} } \\ = \sqrt{16 + 0} \\ = \sqrt{16} \\ = 4[/tex]
Answered by GAUTHMATH
James is saving 5p and 10p coins. He has 75 coins. The ratio of the 5pto the 10p coins is 1 : 1.5. How much are his coins.
Answer:
the total ratio is 1+1.5=2.5
to get the number of 5p coins you get (1/2.5)*75=30
To get the number of 10p you get
(1.5/2.5)*75=45
so he has 30 5p coins and 45 10p coins so the total value Is given by
(5*30)+(10*45)=600
The length of a rectangle is 7 inches longer than it is wide. If the area is 60 square inches, what are the
dimensions of the rectangle?
Answer: 5 by 12
Step-by-step explanation:
Let's call the dimensions of the rectangle w and w+7
The area is 60, so we can do 60=w(w+7)
60=w^2+7w
w^2+7w-60=0 factor the quadratic equation
(w-5)(w+12)=0
w-5=0, w=5
w+12=0, w=-12
Since the length of a rectangle cannot be negative, w=5
the dimensions of the rectangle are 5 and 12
Instructions: Solve the triangle, find mA and mZC.
Step-by-step explanation:
mA=cosA=17/38
A=cos inverse of 17/38
A=63 degrees
Reflect triangle ABC across the line x = 2. Then the reflect (image) A', B' and C' across the line x = -3.
Answer:
The first reflection makes the points (1,1), (-1,1) and (1,4) and the second reflection changes THOSE to (-7,1) (-5,1) and (-7,4). Just connect the dots to make the triangle.
Let me know if anything did not make sense.
Step-by-step explanation:
Reflect just means how far away is each point to the line of reflection? then ake a new point the sae distance, but in the opposite direction. You always want to use a line that makes a right angle to the line of reflection too, so since x=2 and x=-3 are verticallines you are going to use horizontal lines to measure where A, B and C are.
So the three points are A:(3,1), B:(5,1) and C:(3,4)
Now use a horizontal line to measure how far A, B and C are from x=2.
A is 1 spance to the right of x=2, so A' (what A turns into) is 1 space to the left. so (3,1) becomes (1,1) The y value does not change since you are only using the horizontal direction for reflection. B changes fro (5,1) to (-1,1) and finally C changes from (3,4) to (1,4)
Now the second reflection is the exact same process, but witht he new points reflected across x = -3. So the new points are (-7,1) (-5,1) and (-7,4).
Its in the picture!!!1
A bus leaves Islamabad at 11:00 am and reaches Lahore at 3:00 p.m . If the distance bwtween Islamabad to Lahore is 380km , find the speed od the bus.
Answer:
Step-by-step explanation:
Hello!
11h-> 3h
=> 4h
380/4 =>95km/h
PLEASE HELP WILL MARK BRAINLIEST
Answer:
C
Step-by-step explanation:
Its the only answer where the y intercept is 16.
We know its 16 because the line crosses the y axis at 16
Divide. Write your answer in simplest form.
−0.18÷0.03=
HI THERE
the answer is -6
#YoghurtCup
What’s the coordinates for Y-3>2x+2 on a graph?
You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 3.2 feet long, if the remaining piece needs to be 0.66 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.
Answer:
11.2
Step-by-step explanation:
3.2 / 0.66 = 4.8484...
3.2 + 3.2 + 4.8484... = 11.24848...
= 11.2 (rounded)
Brainliest, please!
Consider these four statements about a line that passes through two points on a plane.
Statement A: The lines on a different plane from the points.
Stament B: The line lies in only one plane.
Statement C: The line is on the same plane as the points.
Statement D: The line passes through only one plane.
Which statement is true?
Answer:
4
Step-by-step explanation:
Factor completely, show work.
x² - 49
You want to pull out the square roots of each term since they are both perfect squares.
Factor using the difference of squares formula: a2-b2=(a+b)(a-b)
This formula allows the middle term to cancel out.
=x2 - 49
=(x + 7)(x - 7)
ANSWER: (x + 7)(x - 7)
Hope this helps! :)
Which number line shows the solution set for StartAbsoluteValue 8 minus 2 p EndAbsoluteValue = 6?
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
A number line going from negative 4 to positive 4. Points are at negative 1 and positive 1.
A number line going from negative 8 to positive 8. Points are at negative 7 and positive 7.
A number line going from negative 7 to positive 1. Points are at negative 7 and positive 1.
Answer:
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
Step-by-step explanation:
We have the equation:
|8 - 2*p| = 6
Remember that the equation:
|f(x)| = A
with A > 0
means that:
f(x) = A
or
f(x) = -A
Then for our case, we can rewrite:
|8 - 2*p| = 6
as:
(8 - 2*p) = 6
or
(8 - 2*p) = -6
Now we can solve these two equations to find the two possible values of p.
From the first one, we get:
8 - 2*p = 6
8 - 6 = 2*p
2 = 2*p
2/2 = p = 1
so one solution is p = 1
Now from the other equation, we can get the other solution:
(8 -2*p) = -6
8 - 2*p = -6
8 + 6 = 2*p
14 = 2*p
14/2 = p = 7
So the two solutions are p = 1 and p = 7
Then the correct option is:
"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."
39. a(x + 3) < 5x + 15 - x
Answer:
x < [tex]\frac{15-3a}{a-4}[/tex]; a > 4
a < [tex]\frac{4x+15}{x+3}[/tex]
Step-by-step explanation:
ax+3a < 4x + 15
ax - 4x < 15 - 3a
x( a -4) < 15 - 3a
x < [tex]\frac{15-3a}{a-4}[/tex]
ax + 3a < 5x + 15 -x
ax + 3a < 4x + 15
a( x + 3) < 4x + 15
a < [tex]\frac{4x+15}{x+3}[/tex]
Answer:
x < (15 - 3a) / (a - 4). ( only true if a > 4)
a < (x + 15)/x
Step-by-step explanation:
a(x + 3) < 5x + 15 - x
ax + 3a < 5x + 15 - x
ax - 5x + x < 15 - 3a
ax - 4x < 15 - 3a
x(a - 4) < 15 - 3a
Dividing both sides by (a - 4):
x < (15 - 3a) / (a - 4)
a < (x + 15)/x
. True or False: The function y = (x2 – 4)/(x2 – 4) is continuous for all values of x
Evaluate ab+bc+ca . If a²+b²+c²=50 and a+b+c=12
Answer:
ab+bc+ac=47
Step-by-step explanation:
(a+b+c)=12
Square both sides
a^2+b^2+c^2+2(ab+bc+ac)=144
2(ab+bc+ac)=94
ab+bc+ac=47
Answer:
ab + bc + ca = 47
Step-by-step explanation:
Using the algebraic identity
(a + b + c) = a² + b² + c² + 2(ab + bc + ca) , then
12² = 50 + 2(ab + bc + ca)
144 = 50 + 2(ab + bc + ca) ← subtract 50 from both sides
94 = 2(ab + bc + ca) ← divide both sides by 2
47 = ab + bc + ca
ABC is a right-angled triangle. Angle B = 90. Angle A = 36. AB = 8.7 cm. Work out the length of BC. Give your answer correct to 3 significant figures.
Answer: About 6.321 cm
Step-by-step explanation:
[tex]tan(x)=\frac{opposite}{adjacent}[/tex]
[tex]tan(36)=\frac{x}{8.7} \\\\x=8.7*tan(36)=6.3209...[/tex]
help me
I need help please
Answer:
hhghhhhhhhhh
Step-by-step explanation:
yyyyjuiynrjdjf
Find the length of the side and area ot the square whose perimeter is given below a)44cm b)80cm
9514 1404 393
Answer:
a) 11 cm
b) 20 cm
Step-by-step explanation:
A square has four equal-length sides, so the perimeter is 4 times the side length. Then the side length is 1/4 of the perimeter.
a) s = (1/4)(44 cm) = 11 cm
b) s = (1/4)(80 cm) = 20 cm
pls help me ASAP !!!!!!!!!
Not quite sure how to solve
find the mean of the following, 1.5 m,1.7 m,1.6 m,1.5m,1.5m.
Answer ASAP please!
………
Answer:
47.746, answer choice C
Step-by-step explanation:
47.746
Identify the correct statement for the given figure.
Answer:
B
Step-by-step explanation:
b/c the figure is right angle
Answer:
[tex]x = \frac{83}{7} [/tex]
Step-by-step explanation:
5x+(2x+7)=90
7x+7=90
7x=90-7
7x=83
x=83/7
x=11.857
A bowl contains 10 red marbles and 10 green marbles. A woman selects marbles at random without looking at them. Assume that the woman does not replace the marbles after drawing them. How many marbles must she select to be sure of having at least three marbles of the same color
Answer:
5 marbles
Step-by-step explanation:
Assume the first is color 1
and then the second is color 1
Now the third is color 2
The fourth is color 2
Now the 5th marble of either color will make 3 of one color
Bob is hired by Company A and is given an annual salary of $35 000 with a 10% raise
after 1 year. Sam is hired by Company B and is paid $3842.42 per month with a 5% raise
after 1 year. Determine the difference of salary after 1 year.
Step-by-step explanation:
Bob's salary : $35000 per year plus 10% after one year
100% = 35000
1% = 100%/100 = 35000/100 = $350
10% = 10×1% = 10×350 = $3500
so in total, his salary will be $35000+$3500 = $38500 after one year.
Sam's salary : $3842.42 per month plus 5% after one year.
100% = $3842.42 per month. but to make it comparable to Bob's salary, we need to calculate the annual salary.
so, 100% 12×3842.42 = $46109.04
1% = 100%/100 = 46109.04/100 = $461.09
5% = 5×1% = 5×461.09 = $2305.45
so, in total, his salary will be $46109.04+$2305.45 = $
Which function represents g(x), a refection of f(x)=1/2(3)^x across the y-axis
Answer: g(x) = (1/2)3^-x reflection over y axis yields (-x,y)
Anyone help me please
[tex]6 {x}^{6} + 6 {x}^{4} + 6 {x}^{2} [/tex]
Answer:
(6x^2)(x^4 +x^2 + 1)
Step-by-step explanation:
6x^6 + 6x^4 + 6x^2
split it up into parts
6x^6 = (6x^2) * x^4
6x^4 = (6x^2) * x^2
6x^2 = (6x^2) * 1
so you can take out 6x^2 to get
(6x^2)(x^4 +x^2 + 1)
toán lớp 8
giải bất phương trình: 2x + 2 > 4
Answer:
x>1
Step-by-step explanation:
Answer:
x>1
I hope it will help you
4.
A line contains the points R (-5, -6) S (1, 5) and T (x, 10). Solve for x. Be sure to show and explain all work
Answer:
x is 3.[tex]\overline{72}[/tex]
Step-by-step explanation:
The given points on the line are;
R(-5, -6), S(1, 5) and T(x, 10)
The number of points required to find the equation of the line = 2 points
The slope, m, of the line using points R(-5, -6) and S(1, 5) is given as follows;
m = (5 - (-6))/(1 - (-5)) = 11/6
The equation of the line in slope and point form, using point S(1, 5) is therefore;
y - 5 = (11/6)·(x - 1) = 11·x/6 - 11/6
y - 5 = 11·x/6 - 11/6, given that the x-value is required, we have;
x = (y - 5 + 11/6) × 6/11 = 6·y/11 - 19/11
x = 6·y/11 - 19/11
At point T(x, 10), y = 10, therefore, we have;
x = 6×10/11 - 19/11 = 41/11 = 3.[tex]\overline{72}[/tex]
x = 3.[tex]\overline{72}[/tex].
