Answer:
18
Step-by-step explanation:
Let the unknown number be = x
Then,
x + 16 = 34
=> x = 34 - 16
=> x = 18 (Ans)
the area of a figure is 36cm2. Give 3 shapes of figure. where possible give 3 possible sets of dimensions for each possible shape. answer in less than one minute pls)
Answer:
121
Step-by-step explanation:
Rewrite using a single positive exponent.
8
.8
-3
The straight line y = 3x +2 intersects the curve y = 2x^2 + 7x-11 at two points. Find the coordinates of these two points Give your answers correct to 2 decimal places.
Given:
The equation are
[tex]y=3x+2[/tex]
[tex]y=2x^2+7x-11[/tex]
To find:
The coordinates of intersection points.
Solution:
We have,
[tex]y=3x+2[/tex] ...(i)
[tex]y=2x^2+7x-11[/tex] ...(ii)
From (i) and (ii), we get
[tex]3x+2=2x^2+7x-11[/tex]
[tex]0=2x^2+7x-11-3x-2[/tex]
[tex]0=2x^2+4x-13[/tex]
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then by quadratic formula:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
In the equation [tex]0=2x^2+4x-13[/tex], we have [tex]a=2,b=4,c=-13[/tex].
Using quadratic formula, we get
[tex]x=\dfrac{-4\pm \sqrt{4^2-4(2)(-13)}}{2(2)}[/tex]
[tex]x=\dfrac{-4\pm \sqrt{16+104}}{4}[/tex]
[tex]x=\dfrac{-4\pm \sqrt{120}}{4}[/tex]
Now,
[tex]x=\dfrac{-4+\sqrt{120}}{4}[/tex] and [tex]x=\dfrac{-4-\sqrt{120}}{4}[/tex]
[tex]x=1.7386[/tex] and [tex]x=-3.7386[/tex]
[tex]x\approx 1.74[/tex] and [tex]x\approx -3.74[/tex]
Putting x=1.74 in (i), we get
[tex]y=3(1.74)+2[/tex]
[tex]y=5.22+2[/tex]
[tex]y=7.22[/tex]
Putting x=-3.74 in (i), we get
[tex]y=3(-3.74)+2[/tex]
[tex]y=-11.22+2[/tex]
[tex]y=-9.22[/tex]
Therefore, the coordinates of the intersection points are (1.74, 7.22) and (-3.74,-9.22).
Solve the equation -25p – 2 = 48 for p.
A. -2
B. 1
C. 3
D. 8
Answer:
A. -2
Step-by-step explanation:
-25p - 2 = 48
First, add 2 to both sides
That gives you
-25p = 50
Then, divide both sides by -25. Then that leaves the answer.. p = -2
y2 + x3 + 7 for y = 2, x = 1 algebraic example ano po solve dito medyo nakakalito po
Answer:
Substitute y and x
(2)2 + (1)3+7
then multiply 2 * 2
4+ (1)3+7
then multiply 1* 3
4+ 3+7
add those numbers
14 ang iyong sagot, tandaan kapag nakikita ang panaklong tulad ng nakikita mo dito nangangahulugang dumami
How to prove this using trig identities?
(Tan B + Cot B)^2 = sec^2B + csc^2B
Thanks and please shows steps. I will vote best answer and helpful and do more.
Step-by-step explanation:
tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)
= (sin2B + cos2B)/[(cosB)(sinB)]
= 1/[(cosB)(sinB)]
= (1/cosB)(1/sinB)
= (secB)(cscB)
2+5.67890654321678-5432
The value of 3° is
its from the chapter exponenets
Answer:
1
Step-by-step explanation:
=>. the value of 3° = 1
=> it is known to us that any number to the
power zero is equals to 1
hope it helps
Number 13 and 14 don’t matter but help ‼️
What is the slope of a line perpendicular to the line of the equation in the above ? Please help answer !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!
Answer:
- 4Step-by-step explanation:
Slopes of perpendicular lines are negative-reciprocals.If m is the slope of one line, the slope of the perpendicular line is -1/m.Let's find the slope of the given line:
x - 4y = -12Rewrite this in the slope-intercept form: y = mx + b
x - 4y = -124y = x + 12y = 1/4x + 3The slope is 1/4
The perpendicular line has slope
- 1/(1/4) = - 4if b = -3, what is the value of b³?
Answer:
-27
Step-by-step explanation:
b³=(-3)³
b³=(-3×-3×-3)
b³=-27
Can someone pleade help me on this question 8
Calculate the geometric mean of 12 and 20
Answer:
The Geometric mean of two numbers is the square root of their product.
Given numbers are 12,20.
Geometric mean = √(12*20)
= √240.
= 15.49.
= 15.5.
The geometric mean of 12 and 20 is 4√15.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 3 + 3x + 4y = 7 is an expression.
We have,
The geometric mean of a and b is √(ab).
Now,
a = 12 and b = 20
so,
The geometric mean of 12 and 20.
= √(12 x 20)
= √240
= 4√15
Thus,
The geometric mean of 12 and 20 is 4√15.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
The value of Kensington's car decreases in value according to the exponential decay
function V
Pe-0.12t , where Vis the current value of the vehicle, t is the
number of years Kensington has owned the car and P is the purchase price of the car,
$20,000. To the nearest dollar, what will be the value of Kensington's car in 8 years?
What is the volume of the rectangular pyramid below?
1.
Find the value of x in the parallelogram below.
*
65
Enter each line of work as an equation.
Answer:
x+65=180(being cointerior angle)
x=180-65
x=115
A group of friends are at a baseball game and are purchasing souvenirs. Olivia purchased 1 t-shirt and 5 baseball caps, spending a total of $165. Her Marco purchased 1 t-shirt and 4 baseball caps, which cost him a total of $137. Assuming that all of the t-shirts and all of the caps are the same price, what is the price of each?
Answer:
baseball cap = $28
t-shirt = $25
Step-by-step explanation:
Olivia: t +5b = 165
Marco: t + 4b = 137
isolate t in Olivia's equation
t = 165 - 5b
plug t into Marco's equation
165 - 5b + 4b = 137
165 - b = 137
b = 28
plug b into either equation
t + 4b = 137
t + 4(28) = 137
t + 112 = 137
t = 25
sos please help how to do this
Answer:
±√7
Step-by-step explanation:
[tex]3 {x}^{2} + 7 = 28 \\ 3 {x}^{2} = 21 \\ {x}^{2} = 7 \\ x = \sqrt{7} [/tex]
Solve the inequality and write the solution in set-builder notation.
t-3>-8
I have no idea what set builder is, so I'll just solve it if that's okay.
t-3>-8
First, to cancel out -3, you need to add it to both sides.
t-3>-8
+3 +3
t>-5
---
hope it helps
Amy is dressing a mannequin for a store window to show off a
new line of men's clothing. Amy can choose from 4 different T-
shirts and 2 styles of jeans. How many different ways can Amy
dress the mannequin?
Answer:
8
Step-by-step explanation:
4 different shirts would be 4 combinations. You can have one of each of the jeans on the mannequin, giving 4x2=8.
Answer:
8
Step-by-step explanation:
pleaseee help meeee i need help
Answer:
[tex] \boxed{ \boxed{{x}^{2n- 1} . {y}^{2n - 1} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] \frac{ {x}^{m} }{ {x}^{n} } < = > {x}^{m - n} [/tex]let's solve:[tex] \sf use \: the \: formula : \\ \tt \frac{ {x}^{2n + 4}. {y}^{4n} }{ {x}^{5} . {y}^{2n + 1} } \\ \tt {x}^{2n + 4 - 5} . {y}^{4n - 2x - 1} [/tex][tex] \sf simplify \: subtraction : \\ \tt {x}^{2n- 1} . {y}^{2n - 1} [/tex]Help please its geometry
Answer:
b
Step-by-step explanation:
Opposite angles are equal in a parallelogram. Therefore 2 angles are 112°. Angles in a parallelogram or any quadrilateral are equal to 360°. To find the remaining sides: 360-(112×2) and divide your answer by 2.
PLS HELP DUE AT MIDNIGHT
Answer:
m<BDC = 60 degrees
Step-by-step explanation:
m<EBD is 120, m<EBC = 180 (it's a straight angle) so m<DBC = 180-120= 60 degrees.
All angles in a triangle add up to 180. 60+60+x=180. 180-120=x=60.
two angles of a quadrilateral are 67 and 100. what is the sum of the other two angles
Answer:
93
Step-by-step explanation:
When y = 5; 3y - 21=
14. A system of equations is shown below. For what value of a will this system have no solutions? Justify your answer.
y = 4x-9
y = ax+6
Answer:
a = 4
Step-by-step explanation:
a = 4
If a = 4, then both lines have the same slope and different y-intercepts. That makes both lines parallel. Since the lines never intersect, there is no solution.
Answer:
x can not equal zero, as it would cause division by zero.
Step-by-step explanation:
First, let's make one equation out of them and see what we get. Because both of them have y on the left, we can say that the two right sides are equal, giving us:
4x - 9 = ax + 6
If we solve for a, we get:
ax + 6 = 4x - 9
ax = 4x - 15
a = 4 - 15 / x
With that arrangement we can see clearly that x can not be equal to zero, as it would give us division by zero.
find the vertex. y=10x^2+3
Answer:
(h,k)
(0,3)
Step-by-step explanation:
2 24-5what is 24 - 2x wanted to 24 - 5 exponent
Answer:
24-5:x2
Step-by-step explanation:
im not sure
mark brainliest if it helps
how many ounces are equivalent to 6 pounds?
Answer:
96
Step-by-step explanation:
1 pound is 16 ounces
6 pounds=x ounces
So we use the X to signal it's presence
1x16 is 16,
That means 16 ounces
6xP=Q
6x16 will give us our answer
Because it will tell us how many pounds there are since ounces is multiplied to get ounces.
6x16=96
P=16
Q=96
96 is our answer.
I hope this helps!!!!
If you need help, don't hesitate to ask!
I'm here until 2:30
May I please have brainliest?
According to the diagram below, which similarity statements are true?
Check all that apply.
P
S
R
A. APQR - APRS
B. APQR ~ APSQ
O C. APQR ~ AQSR
D. APQS ~ AQRS
The required triangle PQS and triangle QRS are similar triangles. Option D is correct.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
According to the diagram,
It can be inferred that triangle PQS and triangle QRS are similar to each other. The term "similar" implies that these two triangles have the same shape but can be different in size. Specifically, the corresponding angles of these triangles are equal, and the corresponding sides are in proportion.
Consider triangle, PQS, and triangle QRS
Angle S is the common angle in both the triangles
And angle Q is similar to angle R
So both the triangle are similar by AA similarity postulate
Therefore, option D is correct.
Learn more about triangle similarities here:
https://brainly.com/question/14926756
#SPJ5