Using pythagorean theorem
[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]
[tex]\\ \sf\longmapsto x^2=13^2-5^2[/tex]
[tex]\\ \sf\longmapsto x^2=169-25[/tex]
[tex]\\ \sf\longmapsto x^2=144[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{144}[/tex]
[tex]\\ \sf\longmapsto x=12[/tex]
Answer:
x = 12
Step-by-step explanation:
→ State Pythagoras theorem
a² + b² = c²
→ Rearrange to make b the subject
b² = c² - a²
→ Square root everything
b = √c² - a²
→ Substitute in the numbers
b = √13² - 5²
→ Simplify
b = 12
The equation of line a is y=−14x+3. If line b runs perpendicular to line a and passes through (2, 6), what would be the equation of line b?
Hint : The product of the slopes of two lines perpendicular to each other is - 1 .
______________________________
In slope-intercept ( y = ax + b ) from of the linear equations the coefficient of x is the slope of the line.
Thus :
Slope of line a = - 14
______________________________
Suppose that the slope of line b is x according to the Hint we have :
- 14 × x = - 1
negatives simplify
14x = 1
Divide both side by 14
14x ÷ 14 = 1 ÷ 14
x = 1/14
So the slope of line b is 1/14
_____________________________
Now let's find the equation of line b by point-slope formula using the point question have us ( 2 , 6 ) :
y - y( given point ) = Slope × ( x - x ( g p ) )
y - 6 = 1/14 × ( x - 2 )
y - 6 = 1/14 x - 2/14
y - 6 = 1/14 x - 1/7
Add both sides 6
y - 6 + 6 = 1/14 x - 1/7 + 6
y = 1/14 x - 1/7 + 42/7
y = 1/14 x + 41/7
And we're done ...
Answer:
more info needed
Step-by-step explanation:
2 tablespoons =
A) 3 teaspoons
B) 2 fluid ounces
C) 1 fluid Ounce
D) 1 teaspoon
Answer:
C) 1 fluid Once
Step-by-step explanation:
Evaluate the expression 10 + 3(5 - 2) using order of operations.
Answer:
31
Step-by-step explanation:
PEMDAS
5-2=7
3 times 7 is 21
21+10
31
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{10 + 3 (5 - 2)}[/tex]
[tex]\large\textsf{5 - 2 = \bf 3}[/tex]
[tex]\large\textsf{= 10 + 3(3)}[/tex]
[tex]\large\textsf{3(3) = \bf 9}[/tex]
[tex]\large\textsf{= 10 + 9}[/tex]
[tex]\large\textsf{= \bf 19}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 19}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Can someone help me out
answer is
4ft* 5ft
= 20ft^2
PLS HELPP!!
Identify the constant term in the expression:
3x + 45y + 13z + 43
Answer:
a constant term is a term in an algebraic expression that does not contain any variables
Therefore your answer is 43
Answer:
The constant term in the above expression is 43 as it has no variable where 3 has x variable 45 has y variable and 13 has z variable
So 43 is the constant term in the above expression
Simply: 9+2(3+4)
I need help
Answer:
23
Step-by-step explanation:
9+2(3+4)
PEMDAS
Parentheses first
9+2(7)
Then multiply
9+14
Then add
23
Answer:
23
Step-by-step explanation:
9+2(3+4)
=9+(2)(7)
=9+14
=23
Which expressions are equivalent to 2^5•2^4? Check all that apply.
Answer:
2⁵×2⁴=2⁹
2⁵×2⁴=2×2×2×2×2×2×2×2×2
2⁵×2⁴=4⁵
2⁵×2⁴=8³×2
Answer:
[see below]
Step-by-step explanation:
Recall the product rule: [tex]a^x+a^y=a^{x+y}[/tex]
[tex]2^5 + 2^4 = 2^{5 + 4} = \boxed{2^9}[/tex]
Other expressions could be:
[tex]2^{-2} *2^{11}=2^{-2+11} = \boxed{2^9}[/tex]
[tex](2*2*2*2*2)(2*2*2*2) = 2^5 + 2^4 = \boxed{2^9}[/tex]
Hope this helps.
The diagonals of a quadrilateral must be bisect each other and be perpendicular to gurarantee that the quadrilateral is a parrelogram
Answer:
False
Step-by-step explanation:
A quadrilateral is a closed geometrical figure that have four sides and four vertices. Thus the following includes in a quadrilateral : parallelogram, square, rhombus, rectangle and trapezium.
If the diagonals of the quadrilateral bisects each other and are perpendicular to each other, then the quadrilateral forms a rhombus.
Hence the answer is FALSE.
Find the slope of the line passing through the points (-2, -8) and (9,-8).
slope:
To get that answer, apply the slope formula
m = (y2 - y1)/(x2 - x1)
m = (-8 - (-8))/(9 - (-2))
m = (-8 + 8)/(9 + 2)
m = 0/11
m = 0
Any line with slope 0 is completely horizontal.
As a quick rule of thumb: if the y coordinates of the two points are the same, then the slope is 0 on this horizontal line.
which expression is equivalent to (4 square root 5 to the power of 3) to the power of 1/2
By converting to an exponential expression, solve log3 (x + 9) = 5.
Answer:
[tex]{ \tt{ log_{3}(x + 9) = 5 }} \\ { \tt{x + 9 = {3}^{5} }} \\ { \tt{x + {3}^{2} = {3}^{5} }} \\ { \tt{x = {3}^{5} - {3}^{2} }} \\ { \tt{x = 234}}[/tex]
Rex buries 6 bones in the backyard on Monday then he buries more on Tuesday he buried a total of 10 bones how many did he bury Tuesday?
Answer:
Rex buried 4 bones on Tuesday
Step-by-step explanation:
10 - 6 = 4. Simple as that
Can someone help me with this math homework please!
Answer:
Meh
Step-by-step explanation:
B. Subtract polynomials: (3x – 5 – 7x2) – (–2 + 6x2 – 5x)
Step 1: Rewrite the polynomials without the parentheses. Remember to multiply each term in the second parentheses by –1. Show your work. (2 points)
Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)
Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)
Answer:
[tex](3x-5-7x^{2} )-(-2+6x^{2} -5x)[/tex]
[tex]step\:1: 3x-5-7x^{2} +2-6x^{2} +5x[/tex]
[tex]step\:2:(-7x^{2} -6x^{2} )+(3x+5x)+[(-5+2)][/tex]
[tex]step\:3:-13x^{2} +8x-3[/tex]
OAmalOHopeO
The simplified expression of (3x – 5 – 7x²) – (–2 + 6x² – 5x) is
-x² + 8x - 3
To subtract polynomials. Specifically, we will solve the expression
(3x - 5 - 7x²) - (-2 + 6x² - 5x) step by step using the rules of polynomial subtraction.
To subtract polynomials, we need to combine like terms and simplify the expression.
Step 1: Distribute the negative sign in the second parentheses:
(3x - 5 - 7x²) + (2 - 6x² + 5x)
Step 2: Now, group the like terms together. Like terms have the same variables raised to the same powers:
(3x + 5x) + (-7x² + 6x²) + (-5 + 2)
Step 3: Combine the like terms:
8x - x² - 3
So, the final simplified expression after subtracting the polynomials is:
-x² + 8x - 3
1. First, we distribute the negative sign by changing the signs of all the terms in the second parentheses.
2. Next, we group the like terms together, which means combining the terms with the same variable and exponent.
3. Finally, we combine the coefficients of the like terms to obtain the simplified polynomial expression.
To know more about Polynomials here
https://brainly.com/question/13954700
#SPJ2
**HELP**
find the angle measures given the figure is a rhombus.
Answer:
m<1=74
m<2=37
Step-by-step explanation:
m<2 is the same as the other angle, 37 degrees. So now we need to find the other angle in the triangle.
37+37+x=180.
The total degree of a triangle is 180.
x=106
Subtract that from 180 to get m<1.
180-106=74
I hope this helps!
Good luck!
Question 7(Multiple Choice Worth 1 points) (08.02 LC) Eva conducted a survey to find out the amount of time high schoolers spend surfing the Internet. From the data collected, the range of time spent was 3 hours. What does this range say about the data? The quotient between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours. The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours. All the students surveyed spend exactly 3 hours surfing the Internet. All the students surveyed spend an average of 3 hours surfing the Internet.
Answer:
The answer is "Option B".
Step-by-step explanation:
The difference between most time and also the least spending time on Internet surfing is 3 hours. Since we do not have charts for tables etc., only 3 can be used we need. A range is defined as the difference between the largest and the smallest amounts. The range between both the largest as well as the smallest is unique. In this reply, it tells us that the gap between most time and the fewer hours invested surfing the web is 3 hours.
In option A, it is wrong since the range has nothing to do with formulas. (Of course, the dividend with a divisor results in a quotient). Only subtraction and not division may be achieved.In option C, when all surf for exactly one hour, it could take the largest time of 3 hours and 3 hours, the last time. Add it into the equation and the range of the data present would've been 0.In option D, It is erroneous even as the range is not the mean, and the mean seems to be the average. We search for both the range, not the mean.The answer is B
The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.
This answer is proven 100% correct.
Hope this helps!
Need help on this please!!! 10 points!!!
Answer:
I think the answer is the first one ... am i right...
If AABC is reflected across the y-axis, what are the coordinates of A'?
Answer:
-2,-4
Step-by-step explanation:
ASAP PLEASE !!!
Subtract g(x) from f(x)
[tex]f(x)=\sqrt{x+7\\} \\g(x)= log(x+2)[/tex]
Answer:
sqrt(x+7) - log(x+2)
Step-by-step explanation:
f(x) = sqrt(x+7)
g(x) log(x+2)
f(x) - g(x) = sqrt(x+7) - log(x+2)
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]f(x)=\sqrt{x+7} \\g(x)= log(x+2)[/tex]
we have to subtract g(x)from f(x)
[tex]\sf{\sqrt{x+7}-log(x+2) }[/tex]Rhombus LMNO is shown with its diagonals. Rhombus L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. All sides are congruent. The length of LN is 28 centimeters. What is the length of LP?
In a Rhombus the diagonals intersect and divides it in two equal halves.
Therefore LP = 28/2
LP = 14cm
Answered by GauthMath if you like please click thanks and comment thanks
Answer:
Answer: 14 cm
Step-by-step explanation:
E2020
Jane , peter and mary each have some cards of 3:5:6 . Peter has 40 cards . How many fewer cards did mary has then peter?
Answer:
Mary has 8 more card than Peter
Step-by-step explanation:
Jane: peter: mary
3 5 6
Peter has 40
40/5 = 8
Multiply each by 8
Jane: peter: mary
3*8 5*8 6*8
24 40 48
We want Mary - Peter
48-40
8
Mary has 8 more card than Peter
Find each missing measure
Answer:
a) GJ=ZX=18
b) XY=GH=27
c) ZY=JH=28
d) H=38
e) Z=J=(180-38)÷2=71
f) J=Z=71
Si Martha retira de su cuenta el 10% para los transportes del mes. ¿Cuál es el nuevo saldo de la cuenta?
Respuesta:
0,9 veces
Explicación paso a paso:
Deje que la cantidad en la cuenta de Martha se denote como x, que es la cantidad en la cuenta = x
Porcentaje retirado para transporte = 10%
El porcentaje total siempre será del 100%
Por lo tanto, si se retira el 10%, entonces; el porcentaje restante es:
Porcentaje total: porcentaje gastado en transporte
(100% - 10%) * monto en cuenta
90% * x = 0,9 * x = 0,9x
Saldo de cuenta nueva = 0.9x
Could you please help me with this geometry assignment
lol sorry i dont even know i just want points xd
Find the equation of the line parallel to y = -3x + 4 with a y-intercept of -10
Answer:
y=-3x-10
Step-by-step explanation:
Hi there!
We need to find the equation of the line parallel to y=-3x+4 that has the y intercept of -10 (the point (0, -10))
Parallel lines have the same slope
The slope of y=-3x+4 is -3 (it is in the placement of where m (slope) is in y=mx+b)
So the slope of the new line parallel to y=-3x+4 is also -3
Here is the equation of that line so far:
y=-3x+b
b is a placeholder for the y intercept
However, we are given the y intercept as -10, so substitute -10 as b into the equation
y=-3x-10
There's the equation of the line parallel to y=-3x+4 with a y intercept of -10
Hope this helps!
What is the rule for this reflection?
1 point
C(4,4
[(4,4
reflected image
B (2, 2)
preimage
A' (-5, 1)
B'(-22)
A(5, 1)
0 (x, y) -> (-x, y)
(x, y) -> (x,-y)
(x, y) -> (-X, -y)
(x, y) -> (-y,x)
Answer: To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite. Corresponding parts of the figures are the same distance from the line of reflection. Ordered pair rules reflect over the x-axis: (x, -y), y-axis: (-x, y), line y=x: (y, x).
These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x = 8 to x = 9?
A. -82
B.-17
C.-2
D.-65
Answer:
-17
Step-by-step explanation:
The cost of a cab ride is given by the function C= 1.80 + 1.5 d , where d is the number of miles traveled and C is in dollars. What is the cost of a 10 mile ride ?
Answer:
$16.8
Step-by-step explanation:
Given data
We have the given function as
C= 1.80 + 1.5d
Let us substitute the value of d=10 in the expression
C= 1.80 + 1.5*10
C=1.80+15
C=16.8
Hence the cost of the ride for 10 miles is $16.8
Find the measure of each angle indicated
Answer:
13. 100* : 14. 111* : 15. 125* : 16. 47*
Step-by-step explanation:
13. Same side interior angles add to 180.
14. Alternate interior angles equal each other.
15. Alternate interior angles equal each other.
16. Opposite angles equal each other.
cuál de los circulos tiene 90% de color amarillo?
en cuál de los circulos hay 80% de color amarillo ?
cuál de los circulos tiene 75% de color amarillo?
en cuál de los circulos hay 50% de color amarillo?
pliiis para hoy
Answer:
hay 75 por ciento de color amarillo