Answer:
x = 4
Step-by-step explanation:
the given figure is of an isoceles triangle.
The two angles opposite are congruent(i.e78 degrees) .
That is the sides opposite to them are also congruent.
I. e 4x + 23 = 10x - 1
I. e 4x - 10x = -1 -23
I. e -6x = -24
I. e -x. = -24/6
Dividing by 6 to 24 we get,
-x = -4
therefore by removing the minus sign from both the sides,
the answer comes x = 4
Rewrite the following expression using the properties of logarithms.
log2 z + 2 log2x + 4 log9 y + 12 log9 x - 2 log2 y
You must show all of your work to receive credit.
Payal is going to Turkey. The exchange rate is £1 = 3.1938 lira. She changes £582 to lira. How
many lira will she get to the nearest lira?
Answer:
1,858.7916
Step-by-step explanation:
multiply 3.1938 times the number of E to get the quantity
What is the best prediction of the time required for
the oil spill to reach a diameter of 10 km?
A 147 days
B200 days
205 days
D233 days
Answer:
Step-by-step explanation:
It's 205
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 147 days. Then the correct option is A.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = y. Then the degree of the equation will be 2.
The table shows the connection between the width in kilometers of an oil slick and the time in days. A capability can be utilized to show this relationship.
The equation at (2.4, 1) will be given as,
2.4 = a (1)² + b (1) + c
2.4 = a + b + c ...1
The equation at (9.4, 2) will be given as,
9.4= a (2)² + b (2) + c
9.4 = 4a + 2b + c ...2
The equation at (21.1, 3) will be given as,
21.1 = a (3)² + b (3) + c
21.1 = 9a + 3b + c ...
Solve equations 1, 2, and 3 with the calculator, then we have
a = 2.35, b = -0.05, c = 0.1
Then the equation is given as,
y = 2.35x² - 0.05x + 0.1
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be
y = 2.35(10)² - 0.05(10) + 0.1
y = 235 - 0.5 + 0.1
y = 235.5
The value of y is nearer to the value of 233. Then the value of y will be 233 days.
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 233 days. Then the correct option is D.
More about the quadratic equation link is given below.
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The complete question is given below.
The table shows the relationship between the diameter of kilometers of an oil spill and the time in days. A function can be used to model this relationship.
What is the best prediction of the time required for the oil spill to reach a diameter of 10 km?
A) 147 days
B) 200 days
C) 205 days
D) 233 days
giving brainliest Here are the coordinates of rectangle PLAY: (-11,20), (-11,-3), (-1,20), (-1,-3). Find the perimeter of this rectangle. See if you can figure out its side lengths without plotting the points.
Answer:
perimeter equals 66
sides: 23,23,10 10
Please help me
Due in an hour
. What is the value of x
please help
Answer:
9
Step-by-step explanation:
12x + 17x - 14 + 90 + 2x + 5 = 360
31x + 81 = 360
31x = 279
x = 9
Reuben hires a car. It costs £150, plus 85p for each mile he travels. When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles. How much did Reuben pay to hire the car?
Answer:
Cost of hiring a car = £63,815
Step-by-step explanation:
Cost of hiring a car = 150 + 85p
When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles.
Number of miles Reuben travelled = 28,361 miles - 27,612 miles
= 749 miles
Cost of hiring a car = 150 + 85p
= 150 + 85(749)
= 150 + 63,665
= 63,815
Cost of hiring a car = £63,815
What would you multiply by to decrease a number by 22.5%
Answer:
Multiply the number by 77.5% (100%-22.5%)
Step-by-step explanation:
Answer:
Multiply the number by 77.5% (100%-22.5%)
Step-by-step explanation:
Write the equation of an exponential function that satisfies these characteristics:
1. y intercept of (0,5)
2. range is all y values greater than 0
The value of the exponential equation is y = 5ˣ + 4
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
The y intercept is ( 0 , 5 )
So , when x = 0 , the value of y = 5
Substituting the values in the equation , we get
y = 5ˣ + 4 be equation (1)
when x = 0
y = 5⁰ + 4
y = 1 + 4
y = 5
when x = 2
y = 5² + 4
y = 25 + 4 = 29
Therefore , the range is all y values greater than 0
Hence , the equation is y = 5ˣ + 4
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cubic feet= 1 cubic yard
Answer:
(1 yard) 3 = 1 3 yard*yard*yard = 1 yard*yard*yard = 1 cubic yard. Since 1 yard = 3 feet, we have.
1 cubic yard = (1 yard) 3 = (3 feet) 3 = 33 feet*feet*feet = 27 cubic feet.
Step-by-step explanation:
X=?
Enter the number that goes in the green box.
Please helpppp:(
Answer:
x=35°
Step-by-step explanation:
145°+110°+70°=325°
360°-325°=35°
Solve the system by substitution.
y = -6x
y = -4x + 4
Answer:
x=-2 y =12
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
−6x=−4x+4
Solve
−6x=−4x+4
x=−2
y= 12
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−2,12)
The result can be shown in multiple forms.
Point Form:
(−2,12)
Equation Form:
x=−2,y=12
please quickly and correctly solve the question in the image below.
Answer:
step 2
Step-by-step explanation:
he was not supposed to multiply by x
he was supposed to combine like terms
add -2x and 4x and add 6 and 5
Answer:
So he messed up on step 2
Step-by-step explanation:
Tessa bought stock in a restaurant for $277.00. Her stock is now worth $346.25. What is the percentage increase of the value of Tessa's stock?
Answer:
125%
Step-by-step explanation:
Divide 346.25 by 277
you get 1.25
multiply it by 100
Answer:
25%
Step-by-step explanation:
This is calculated this way:
$346.25/$277 = 1.25
Then subtract 1, because that part represents what Tessa had to start with. That leaves
0.25
That decimal equals 25%, and that is the answer.
Yesterday, between noon and midnight, the temperature dropped by 25.8°F. If the
temperature was -13.4°F at midnight, what was it at noon?
15.1 f
Step-by-step explanation:
-13.4+25.8= 15.1 F
A six-sided number cube is rolled 300 times. Predict how many times you would expect to roll a 4.
A.
40
B.
50
C.
60
D.
100
Answer:
50 of 300 times
Step-by-step explanation:
what is the length of c, if a=7 and B=12
Answer:
9.8
Step-by-step explanation:
1 Zx and Zy are supplementary angles. Zy measures 65º. What is the measure of Zx?
Answer:
zx=115'
Step-by-step explanation:
supplementary angles add up to 180'
180-65=115
Answer:
115°
Step-by-step explanation:
Given
Zy = 65°
Zx = ?
we know
Zx + Zy = 180° { being supplementary angles }
Zx + 65° = 180°
Zx = 180° - 65°
Zx = 115°
Hope it will help :)❤
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?
9514 1404 393
Answer:
D y +5 = -2/7(x -4)
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
You're given (h, k) = (4, -5), so the equation will be of the form ...
y +5 = m(x -4) . . . . for some slope m
This form eliminates the first two choices.
__
The slope of the given line is the coefficient of x when solved for y:
2y = 7x +14
y = 7/2x +7 . . . . slope is 7/2
The perpendicular line will have a slope that is the opposite reciprocal of this, ...
-2/7 . . . . slope of perpendicular line
This is the slope shown in choice D:
y +5 = -2/7(x -4)
D
Step-by-step explanation:
Solve the following system of equations below using any method.
Remember to check your solution!
x – 4y = -7
-5x + 7y = 9
Answer:
(1,2) or equation form: x=1 y=2
Step-by-step explanation:
Used system of equations and doubled checked!
Hello someone please help ASAP!!
Answer:
B
Step-by-step explanation:
A rational function range or possible answer cant be zero since on a rational function we dont want what we call vertical and horizontal asymptote are when y=0 or when x=0 so it can be any real number except 0.
5. Find the slope of the line through the points (17, -13) and (17, 8).
Answer:
the slope is undefined
Step-by-step explanation:
Answer:
Step-by-step explanation:
(8 + 13)/(17-17) = 21/0 = undefined
Please answer these 3 they are pretty simple tysm will mark brainliest
7: -69
8: -2+3-4 = -3
9: $ (5y+10)
express x^2 - 8x + 5 in the form (x - a)^2 - b where a and b are integers
Answer:
x^2 -8x + 5 = (x-4)^2 - 11
Step-by-step explanation:
Here we want to write the given expression in the form
x^2-8x + 5 can be written as follows;
(x-4)^2 = x^2 - 8x + 16
All we have to do is to subtract 11
Thus, we have it that;
x^2-8x + 5 = (x-4)^2 - 11
Yo anyone knows the answer to this
Answer:
3
Step-by-step explanation:
(8y-3)+(-8y+6)=
8y + -8y = 0
-3 + 6 = 3
0 + 3 = 3
Determine the slope of the line that passes through the given points. Complete your work in the space provided.
(8.1) and (8,-4)
Answer:
0
Step-by-step explanation:
Slope formula y2-y1/x2-x1
-4-1/8-8
simplify
-5/0
slope is 0
-3(1+6r)=14-r
in class need help
Answer:
r = -1
Step-by-step explanation:
-3(1+6r)=14-r
Distribute the -3
-3*1 -3*6r = 14-r
-3 -18r = 14 -r
Add 18r to each side
-3-18r+18r = 14-r+18r
-3 = 14+17r
Subtract 14 from each side
-3-14 = 14+17t-14
-17 = 17r
Divide by 17
-17/17 = -17r/-17
-1 =r
12 decreased by some number h
Answer:
12 - h
Step-by-step explanation:
Divide 200kg in the ratio 15:9:1
Answer:
120kg, 72kg and 8kg
Step-by-step explanation:
Given the ratios 15:9:1
total ratio = 15+9+1 = 25
For the ratio of 15
Share = 15/25 * 200
Share = 3000/25
Share = 120kg
For the ratio of 9
Share = 9/25 * 200
Share = 1800/25
Share = 72kg
For the ratio of 1
Share = 1/25 * 200
Share = 200/25
Share = 8kg
52,427 rounded to the nearest thousand
Answer:
52,000 to the nearest thousand
Answer:
52,000
Step-by-step explanation: