Answer: [tex]\sqrt{68}[/tex] units.
Step-by-step explanation:
The distance between points (a, b) and (c, d) is given by :_
[tex]D=\sqrt{(d-b)^2+(c-a)^2}[/tex]
Given points : (-10,-7) (-8,1)
Distance between points (-10,-7) and (-8,1) = [tex]\sqrt{(1-(-7))^2+(-8-(-10))^2}[/tex]
[tex]=\sqrt{(1+7)^2+(-8+10)^2}\\\\=\sqrt{8^2+2^2}\\\\=\sqrt{64+4}\\\\=\sqrt{68}[/tex]
Hence, distance between given points = [tex]\sqrt{68}[/tex] units.
Which points are on the graph of g(x) = (1/5)x?
Select each correct answer.
(3, 125) (-2,5) (1, 0) (-1, 5)?
Given:
The function is
[tex]g(x)=(\dfrac{1}{5})^x[/tex]
To find:
The correct ordered pairs.
Solution:
We have,
[tex]g(x)=(\dfrac{1}{5})^x[/tex]
For x=3,
[tex]g(3)=(\dfrac{1}{5})^3[/tex]
[tex]g(3)=\dfrac{1}{125}[/tex]
So, the ordered pair is [tex](3,\dfrac{1}{125})[/tex].
For x=-2,
[tex]g(-2)=(\dfrac{1}{5})^{-2}[/tex]
[tex]g(-2)=(5)^2[/tex] [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]
[tex]g(-2)=25[/tex]
So, the ordered pair is [tex](-2,25)[/tex].
For x=1,
[tex]g(1)=(\dfrac{1}{5})^1[/tex]
[tex]g(1)=\dfrac{1}{5}[/tex]
So, the ordered pair is [tex](1,\dfrac{1}{5})[/tex].
For x=-1,
[tex]g(-1)=(\dfrac{1}{5})^{-1}[/tex]
[tex]g(-1)=(5)^1[/tex] [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]
[tex]g(-1)=5[/tex]
So, the ordered pair is (-1,5). This is the correct answer.
Therefore, the correct option is D.
A triangle has interior angles of (x+5) (x-5) and (2x) what is the measure of the largest interior angle?
Answer:
90
Step-by-step explanation:
interior angles of all triangles add up to 180 degrees
180=x+5+x-5+2x
180=4x
45=x
plug back in to find largest angle
2 (45) = 90
Solve |x+4|=6 need help for a quiz
Answer:
down below
Step-by-step explanation:
set up two equations:
x + 4 = 6 x + 4 = -6
solve both:
x = 2 x = -10
plug it back in to the original equation:
|2 + 4| = 6. |-10 + 4| = -6
|6| = 6. |-6| = -6
6 = 6. since absolute value is always positive:
correct. |6| = -6
6 does not = -6
write both of these down if you need to show your work
ANSWER ME 2 QUESTION.....URGENT....SO PLZZ FASTLY SND ME THE ANSWER....
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Answer:
whats up , whats the question ?
Step-by-step explanation:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.
What are the domain and range of the function on the graph?
The domain includes all integers, and the range is y ≥ 0.
The domain includes all integers, and the range is y > 0.
The domain includes all real numbers, and the range is y ≥ 0.
The domain includes all real numbers, and the range is y > 0.
The graph will begin at a lower point on the y-axis.
The graph will increase at a faster rate.
The graph will increase at a slower rate.
The y-values will continue to increase as x-increases.
The y-values will each be less than their corresponding x-values.
Answer:
The domain of the function i.e. the value of x can be any real number and the range of the function is y > 0.
Step-by-step explanation:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.
Therefore, as x tends to - ∞, the y-value tends to 0 but not equal to zero and as x tends to +∞, the y-value also tends to +∞.
Hence, the domain of the function i.e. the value of x can be any real number and the range of the function is y > 0. (Answer)
June was thinking of a number. June doubles it and gets an answer of 98.9. What was the original number?
Answer: 49.45
Step-by-step explanation:
From the information, we are informed that June was thinking of a number and then doubles it and gets and gets an answer of 98.9.
Let the number be represented by x.
Since she doubles it, thus implies that:
2x = 98.9
x = 98.9 / 2
x = 49.45
The number is 49.45
Use the distributive property to write an expression that is equivalent to 9(c+5).
Answer:
9c + 45
Step-by-step explanation:
The distributive property also known as distributive law of multiplication and division.
In the given expression, distributive law of multiplication is applied where we can multiply first before addition.
Given
9(c+5)
Using distributive property
9(c+5)
= (9 × c) + (9 × 5)
= 9c + 45
9(c+5) = 9c + 45
what is the rate and unit rate for 115 miles on 9 gallons of gas
Answer:
the actual answer is 12.7777777778 but you can break it down to about 12.8
Step-by-step explanation:
Hope this helps :)
The ratio of blue to red for a purple paint made by
28
mixing 24 oz of red with 28 oz of blue.
Answer:
28:24
Step-by-step explanation:
Blue to red is 28:24 or 7:6.
What is the slope of the line through (0,5) and (-2, -1)?
(0.5)
3
2
X
2
4
-4 -3
+(-2,-1)
-1
-2
-3
A. -3
O
B. -
o
C. 3
O
D.
10
PREVIOUS
Answer:
the slope is 3
Step-by-step explanation:
slope formula [tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m\frac{5-(-1)}{0-(-2)}[/tex] = 3
Help I will mark brainliestttt
Answer:
11 or more
Step-by-step explanation:
55-40=15
160/15=10.666
11 or more
Use the graph above to determine which of the following ordered pairs is in quadrant II.
( (-5-2)
(3.2)
(4.-1)
(-4, 6)
hellppp!!
can anyone please help me
Answer:
1. x = 9°
angleA=36°
angleB=54°
2. x = 28°
angleA=28°
angleB=62°
Step-by-step explanation:
1. 6x + 4x = 90° (By ASP)
2. 2x + 6 + x = 90° (By ASP)
Last one for shore area of this circle???
will give brainliest
pls hlep me!!
Answer:
16 pi units or about 50.265 units
Step-by-step explanation:
formula for area of circle is πr^2
Using the image, the radius (half the diameter) is 4 units
put this in equation
pi times 4^2
pi times 16
16pi
brainliest to who ever answers correctly
Answer:
it’s either no slope or 0, I dont exactly know which one you would put in to be correct
Step-by-step explanation:
If y is a positive integer, for how many different values of y is [tex]\sqrt[3]{144\y}[/tex]a whole number?
Answer:
2
Explanation:
I'll explain later, it has to do with prime factors, and perfect cubes.
The two values of y that work are 18, and 144.
³√(144/18) = ³√(8) = 2 [whole number]
³√(144/144) = ³√(1) = 1 [whole number]
easy 10 points, math underline. photo below
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
HELPPP simplify the expression !!!
Answer:
Exact form: 3√5/5
Decimal form: 1.34164078...
Step-by-step explanation:
Answer:
6.708020
Step-by-step explanation:
Simplify: −5(−4) + 13 =
Answer:
33
Step-by-step explanation:
-5(-4)= 20
20+13=33
~.❤~Please Answer~❤.~
Answer:
True
hope it helps!
Step-by-step explanation:
Solve for x please: 9=8/5(x+5)
Answer:
5/8 =x
Step-by-step explanation:
9=8/5(x+5)
Multiply each side by 5/8
5/8 *9= 5/8 *8/5(x+5)
45/8 = x+5
Subtract 5 from each side
45/8 - 5 = x+5-5
45/8 -5 = x
Get a common denominator
45/8 - 5*8/8 =x
45/8 - 40/8 =x
5/8 =x
Bring 8/(a-x) to a denominator of x-a
Answer:
[tex]-\frac{8}{x-a}[/tex]
Step-by-step explanation:
[tex]\frac{8}{a-x}[/tex]
we can take common factor of -1 in the denominator
[tex]\frac{8}{-(-a+x)}=\frac{8}{-(x-a)}[/tex]
and now multiply and divide by -1
[tex]\frac{8}{-(x-a)}\cdot \frac{-1}{-1}=\frac{-8}{x-a}=-\frac{8}{x-a}[/tex]
ava scored a 74% a 75% and an 80% on her first three math quizzes. What would she need to scorr on her 4th quiz to have an average of 80 percent
Answer:90
Step-by-step explanation:
8+4x≥12
x≤5
x≥1
x≤1
x≥5
is -32/8 an integer...??? Pleaseeee helpppp meeee
Answer:
yes
Step-by-step explanation:
-32/8 = -4
-4 is an integer
What scale factor was applied to the first rectangle to get the resulting image?
Enter your answer as a decimal in the box.
Answer:
7.5/3= 2.5
i checked by doing
3*2.5 and it was equal to 7.5
the scale factor is 2.5
Answer:
2.5
Step-by-step explanation:
I divided 7.5 by 3 and got 2.5then to check my answer I multiplied 2.5 and 3 to get 7.5Hope this helps.A teacher is writing an exam with 60
questions. If she has finished writing 70% of
the questions, how many questions does she
still need to write?
A) 18
B) 20
C) 30
D) 42
Can smb yk..
a shop is having a sale all items are reduced by 30% work out the sale price of an item normally priced at £110
Answer:
77 us dollar
Step-by-step explanation:
because I used a calculator
Answer:
77
Step-by-step explanation:
the price of a computer was decreased by 20% to £136. what was the price before it was decreased
Answer:
170
Step-by-step explanation:
Let x be the original price
x* .20 is the decrease
x - .20x = new price
.80x = new price
.8x = 136
Divide each side by .8
.8x/.8 = 136/.8
x =170
Answer:
7
Step-by-step explanation:
In the figure shown, AB = 8 and AD = 5. What is BC?
BC=type your answer...
Answer:
AB = 8 and AD = 5
Ad=BC ( given in fig or as its is rectangle and sides of rectangle are equal )
so BC = 5