Answer:
x = 5
Step-by-step explanation:
From the Euclidean theorem
10^2 = x(x + 15)
100 = x(x+15) from this equation we can conclude that x = 5 and when
added to 15 it'd be 20 and multiplied by itself the result is equal to 100
(2x-1)(x+5)=o solve for x
Answer:
x = - 5, x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
(2x - 1)(x + 5) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
Answer:
x = - 5, x = 1/2
Step-by-step explanation:
(2x - 1)(x + 5) = 0
x + 5 = 0 so x = - 5
2x - 1 = 0 so 2x = 1 so x = 1/2
Triangle G H F is shown. Angle F G H is a right angle. The length of G H is 28 and the length of hypotenuse F H is 40.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction
What is the approximate measure of angle F? Use the law of sines to find the answer.
11.5°
44.4°
68.0°
81.9°
Answer:
44.4
Step-by-step explanation:
right on edge
Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72
Answer:
[tex]72[/tex]
Step-by-step explanation:
Jeremy is [tex]x[/tex] years-old.
Jeremy's grandfather is [tex]4x[/tex] years-old.
Adding their ages together will get [tex]90[/tex]
[tex]4x+x=90\\5x=90\\x=90 \div 5\\x=18[/tex]
Jeremy's grandfather age would be:
[tex]4x\\4(18)\\72[/tex]
Answer: 72
Step-by-step explanation:
Let Jeremy age be x
Granfather' age is 4x
x + 4x = 90
5x = 90
x = 90/5 = 18
Jeremy' age is 18
Granfather age is 4x = 4*18 = 72
Please answer this question GEOMENTRY
Answer:
4 in
4√2 in
Step-by-step explanation:
Part A
Missing angle= 90°-45°=45°
Missing leg = 4 in as opposite angles are equal
Part B
According to Pythagorean theorem
Hypotenuse²= (4in)²+(4in)²= 32 in²
c=√32 in²= 4√2 in
What is the area of parallelogram ABCD?
7
А
6
B
5
13 square units
0 14 square units
15 squtare units
16 square units
4
3
2.
D
1
С
1
2
3
4
5
6
7
x
Answer:
13 square units
Step-by-step explanation:
The area of the parallelogram is 13 square units
The area of a parallelogram is the product of the height and the base of the parallelogram
Assume the parallelogram has the following properties
Base = 6.5 units
Height = 2 units
The area of the parallelogram is calculated as:
Area = Base * Height
So, we have:
Area = 6.5 units * 2 units
Area = 13 square units
Hence, the area of the parallelogram is 13 square units
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Does anyone know how to solve these two math problems??!
Answer:
1. x = -1
2. y = -3
Step-by-step explanation:
1. 5(5x+2) = 4(x+3)
5-5x+2 = 4x+12
5-5x+2 = 4x+12
-5x+3 = 4x+12
-3 -3
-5x = 4x+9
-4x -4x
-9x = 9
x = -1
2. -3³-2(2y-2) = 5y+4
-27-4y+4 = 5y+4
-4y-23 = 5y+4
-4 -4
-4y-27 = 5y
+4y +4y
-27 = 9y
y = -3
Answer:
1. 4.17
2. -2.2
Step-by-step explanation:
Steps For Number 1
1. solve put 5x and 1 together, then put two and three together.
5 - 6x +5 = 4
2. 6x + 5 =
x= 0.83
5 - 0.83 = 4.17
Steps For Number 2
1. -3^3 = -9
2. -9 - 2(2y-2) = 5y +4
3. solve for y in 2y -2
y = 0
4. -9 - 2 = -7
5. -7 = 5y +4
5y +4 =-7 solve
-4 = -4
5y = -11 divide 5 by both
What is the y-intercept of the line perpendicular to the line y = -3/4 x + 5 that includes the point (-3, -3)?
Answer choices =
-3/4
1
7
-21/4
Answer:
y= -3/4
Step-by-step explanation:
The y-intercept of the line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point (-3, -3) is, 1
The equation of a line in point-slope form passing through the points
[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] with slope m is defined as;
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Given that,
The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point
(-3, -3).
Let us assume that the slope of perpendicular lines is m₁ and m₂.
Hence,
[tex]m_1 \times m_2 = - 1[/tex]
Here, The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex]
The equation of perpendicular line is,
[tex]y = \frac{-3}{4} x + 5[/tex]
Slope = [tex]\frac{-3}{4}[/tex]
Hence, the slope of the line is,
[tex]m = \frac{- 1}{\frac{-3}{4} }[/tex]
[tex]m = \frac{4}{3}[/tex]
Since, the line includes the point (-3, -3).
Hence, the equation of the line with slope [tex]m = \frac{4}{3}[/tex] includes the point (-3, -3) is,
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
⇒ [tex]y - (- 3) = \frac{4}{3} (x - (- 3))[/tex]
⇒ [tex]y + 3 = \frac{4}{3} (x +3)[/tex]
Multiply by 3 on both sides,
⇒ [tex]3 (y + 3) = 4 (x + 3)[/tex]
⇒ [tex]3y + 9 = 4x + 12\\[/tex]
⇒ [tex]3y = 4x + 3[/tex]
⇒ [tex]y = \frac{4}{3} x + 1[/tex]
So, the y-intercept is, 1
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A swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour. The depth of the water after 5 hours is 32 inches. Write the equation for this function in point slope form.
Answer:
The equation for this function in point slope form: y = -3x+47
Step-by-step explanation:
We are given that a swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour.
Slope is the rate of change per unit represented by m
So, m = -3
General equation : y = mx+c ----1
y represents the depth of water
t represents the time
The depth of the water after 5 hours is 32 inches.
So, y =32 and x =5
Substitute the values in the equation
So,32=-3(5)+c
32=-15+c
32+15=c
47=c
Substitute the value of c and m in 1
So, The equation for this function in point slope form: y = -3x+47
The cost to purchase a movie from Move Time is 3.00 per movie as well as a 10.00 membership fee. To purchase a movie from Movie City, the membership fee is 30.00 and every downloaded movie is 2.00. How many downloaded movies must be purchased for the monthly price to be the same. (Can someone turn this into an equation for me?)
Answer:
20
Step-by-step explanation:
Let x represent the number of movies bought/downloaded
3x + 10 = 2x +30
Subtract 2x and 10 from both sides
x = 20
Answer:
3x + 10 = 2x + 30
Step-by-step explanation:
Let the number of movies downloaded = x
Movie time:
3x + 10
Movie city:
2x +30
3x + 10 = 2x + 30
3x -2x = 30 - 10
x = 20
PLEASE HELP ITS TIMED!!
The side length of a square patio is 2.59 meters. Which is the best estimate for the perimeter of the patio, in meters?
Hey there! I'm happy to help!
The perimeter is all of the sides of a shape added up.
Since all of the sides on a square are the same and we know one side, we just multiply it by four.
2.59(4)=10.36
Therefore, the patio is about 10.56 meters.
I hope that this helps! :D
Answer:
The best estimate is 10. Trust me, I did this assessment too.
Step-by-step explanation:
2.59 x 4 = 10.36. So it's 10.
does anybody know the answer to this equation? // * ANSWER ASAP *
Answer:
radius
Step-by-step explanation:
AJ is half the distance across the circle (radius).
What is a constant of proportionality in the equation 3y equals 2x?
Answer:
y=2/3x (y equals two-thirds x)
Step-by-step explanation:
3y=2x
(divide by 3 on both sides to get just the y value)
3/3y=2/3x
y=2/3x
Which of the following properties is represented by (x + y)(2 + z) = 2(x +y) + z(x + y)?
Associative Property of Multiplication
Commutative Property of Multiplication
Distributive Property
Associative Property of Addition
The final statement is: The property of distribution is used in the given expression.
What is a distributive property in math?According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Given here: (x + y)(2 + z) = 2(x +y) + z(x + y)
Clearly 2 and z get distributed over (x+y)
We usually use the distributive property because the two terms inside the parentheses can’t be added because they’re not like terms
Thus this is the distributive property of multiplication.
Hence, Distributive property is the correct option.
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Which equations are true?
Choose all answers that apply:
Ⓐ 0 = 0+1-2
Ⓑ 0=(-2)-(-2) +0
Ⓒ None of the above
Answer:
B
Step-by-step explanation:
A is false. 0 + 1 - 2 = -1, not 0.
B is true.
(-2)-(-2) +0
= -2 + 2 + 0
= 0
C is false, since B is true.
Equation B 0=(-2)-(-2) +0 is true, which is simplified by subtraction.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
For equation A:
0 = 0+1-2
We can simplify the right-hand side of the equation by combining like terms:
0 = -1
This is not true, so we might be tempted to say that equation A is false.
For equation B:
0 = (-2)-(-2) + 0
We can simplify the right-hand side of the equation by performing the subtraction:
0 = 0 + 0 + 0
This simplifies to:
0 = 0
This equation is true.
Therefore, equation B is true.
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NEED HELP AGAIN . ASAP PLS AND THX
Answer:
I am pretty sure its (a) and (c)
Step-by-step explanation:
6. At a toy shop, 45 toys were sold in September. A bonus will be given to workers if they can increase sales by 40% in October. How many toys must the sales team sell in October to receive the bonus?
Answer:
63 toys.
Step-by-step explanation:
45 increased 40 percent
45(1.4)
63
63-45=18
The toy shop needs to sell 18 more toys in october, for a total of 63 toys.
About how much medicine is in a medicine bottle
Answer:
For measuring such small amounts of medicine, your doctor may give you a 1 cc syringe (there is that cubic centimeter thing again - remember, it is the same as a milliliter - ml).
...
measurement of medicines.
1/4 teaspoon 1.25 ml
1 teaspoon 5 ml
1-1/2 teaspoon 7.5 ml
1 tablespoon 15 ml
Step-by-step explanation:
Answer:
Depends on the medicine, some have more some have less there is no set amount
Step-by-step explanation:
Pls give brainliest i had 40 down to 1 for no reason, i will thank you for it via ur profile and comments also a thanks would be appreciated too
I hope this helps u! ;)
Is anyone good at this? Can you answer some of the questions I cant figure out?
Answer:
sure, what questions?
Step-by-step explanation:
Answer:
Sure what are the question
Step-by-step explanation:
The value of cos X is
40/41
42/41
9/41
35/41
Answer:
I think we're probably talking about a right triangle. So just find the adjacent side and the hypotenuse.
Step-by-step explanation:
Once we are considering [tex]x \in \mathbb{R}[/tex], the range of [tex]\text{cos}(x)[/tex] is [tex][1, -1][/tex]. Therefore, [tex]$\frac{42}{41} $[/tex] is not true.
In this exercise, we may have
[tex]$\text{cos}(x)=\frac{x}{r} =\frac{x}{\sqrt{x^2 +y^2} } $[/tex]
Considering the trigonometric functions beyond the unit circle.
Or considering the definition in the right triangle:
[tex]$\text{cos}(x)=\frac{\text{adjacent}}{\text{hypotenuse}} $[/tex]
Which of the following exponential functions represents the graph below?
Answer:
C
Step-by-step explanation:
So you should be looking for the right function.
Remember that any number to the power of 0 is by definition 1.
3 * 1 = 3
In the graph you see point (0,3), so what you do is to check for each function if f(0)=3.
So if you substitute x= 0 the result should be 3.
3 * 1 = 3
The two functions that comply with that, are the ones in answers B or C.
In the graph you can also see point (1,6). So if you substitute x= 1 the result should be 6.
The only function that complies with that is in answer C.
Please help quickly
Answer:
2x + 3
Step-by-step explanation:
Given
(x² + 7x + 1) + (- x² - 5x + 2) ← remove parenthesis
= x² + 7x + 1 - x² - 5x + 2 ← collect like terms
= 2x + 3
Answer:
2x+3
Step-by-step explanation:
Eva can type 320 words in 4 minutes. How many words per minute can Eva type?
words per minute
Answer:
80 words per minute
Step-by-step explanation:
320/4
80 wpm
Answer:80 wpm
Step-by-step explanation:
Divide 320 by 4.
That should give you 80.
Hope i helped :)))
A car travels 3 hours at 50mph; then travels
40mph for 7 hours. How many miles does it
travel during the 10 hours?
Hi!
So, the car travels for 3 hours at 50 miles an hour.
That makes 150 miles.
Then, 40 miles per hour for 7 hours.
That makes 280 miles.
Add it together to get 430 miles
What are the coordinates of the x-intercept of the equation 2x - 3y = 8?
A:(-8/3,0)
B:(0,-8/3)
C:(4,0)
D:(0,4)
E:(-4,0)
Answer:
C
Step-by-step explanation:
x-intercept occurs when y=0.
2x -3y= 8
When y=0,
2x -3(0)= 8
2x= 8
x= 8 ÷2
x= 4
Thus the coordinates is (4,0).
In right triangle ABC on hypotenuse AB lies points K and M such that AK=AC, BM=BC. Find m∠MCK.
Answer:
The measure of ∠MCK is 45°
Step-by-step explanation:
The parameters given are;
ΔABC with hypotenuse side AB
Let AB = x
BC = y
AC = z
∴ x² = y² + z²
∠BCM = ∠CMB (Base angles of isosceles triangle ΔBMC)
Similarly, ∠ACK = ∠AKC (Base angles of isosceles triangle ΔKAC)
∴ ∠BCM + ∠CMB + ∠CBM = 180° (Sum of interior angles in a triangle)
Hence, 2 × ∠BCM + ∠CBM = 180°........(1)
Similarly, 2 × ∠ACK + ∠CAK = 180°......(2)
Hence, 2 × ∠BCM + ∠CBM = 2 × ∠ACK + ∠CAK
However, ∠CBM + ∠CAK + 90° = 180° (Sum of angles in right triangle ΔABC)
∴∠CBM + ∠CAK = 180° - 90° = 90°
Adding equations (1) and (2), we have;
2 × ∠BCM + ∠CBM + 2 × ∠ACK + ∠CAK = 180° + 180° = 360°
Which gives;
2 × ∠BCM + 2 × ∠ACK + ∠CBM + ∠CAK = 360°
Where;
∠CBM + ∠CAK = 90°, we have;
2 × ∠BCM + 2 × ∠ACK + 90° = 360°
∴ 2 × ∠BCM + 2 × ∠ACK = 360° - 90° = 270°
∠BCM + ∠ACK = 270°/2 = 135°
∠BCM = ∠CMB
∴ ∠CMB + ∠ACK = 135°
Also, ∠CMB = ∠CMK and ∠ACK = ∠MCK
Hence, ∠CMK + ∠MCK = 135°
However, ∠CMK + ∠MCK + ∠MCK = 180° (Sum of interior angles in a triangle)
Which gives;
∠CMK + ∠MCK + ∠MCK = 135° + ∠MCK = 180°
∴ m∠MCK = 180° - 135° = 45°.
The measure of ∠MCK, m∠MCK = 45°.
Simplify.
0
10
3
(2.8 + 1.2)
6
NEED THE ANSWER NOW!!!
Answer:
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPP!!!!!!!
951/3 i dont under stand
Answer:
317 IS THE ANSWER
Step-by-step explanation:
The right answer is 317
please see the attached picture for full solution.
hope it helps
good luck on your assignment
Helllp please someone
Answer: -920
Step-by-step explanation:
-447 - 473 = -920
In this case, smaller means more negative
Answer:
-920
Explanation:
To solve this problem, you simply need to subtract 473 by negative 447. Here is how you solve:
-447 - 473
- (447 + 473)
-920
Therefore, the new dot was on -920.