Step-by-step explanation:
because we can also find out the value of x in second equation like this
3x=21
x=21/3
x=7
Answer:
We conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
Step-by-step explanation:
Given the first equation
3x-5 = 16solving the equation
3x-5 = 16
adding 5 to both sides
3x-5+5 = 16+5
3x = 21 ∵ 3x = 21 is the 2nd equation
divide bothe sides by 3
3x/3 = 21/3
x = 7
Please notice that when simplifying 3x-5 = 16, the moment we reach 3x=21, we can determine that it represents the same equation.
In other words, whatever the value of x we will get, it will satisfy both equations.
Therefore, we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
Verification:
Consider the 2nd equation
3x = 21
Put x = 7
3(7) = 21
21 = 21
Thus, it has been validated that when we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
[tex]4x {}^{2} = x {}^{2} + 4[/tex]
Answer:
x = 1.155
x = -1.155
Step-by-step explanation:
4x² = x² + 4
i) move variable to the left-hand side and change its sign4x² - x² = 4
ii) collect like terms3x² = 4
iii) divide both sides of the equation by 3[tex] \frac{ {3x}^{2} }{3} = \frac{4}{3} [/tex]
[tex] {x}^{2} = \frac{4}{3} [/tex]
iv) take the square root to the opposite side of the equation and remember to use positive and negative roots[tex]x = + - \sqrt{ \frac{4}{ 3} } [/tex]
v) the equation has two solutions. write the solutions, one with a '+' sign and another with a '-' sign[tex]x = \sqrt{ \frac{4}{3} } \: or \: 1.155[/tex]
[tex]x = - \sqrt{ \frac{4}{3} } \: or - 1.155[/tex]
Betty can 100 words per minute. Bob can type 75 words per minute. In 6 minutes, how many more words can Betty type than Bob?
Answer:
150
Step-by-step explanation:
Betty can type 100*6=600
Bob types 75*6=450
Betty-Bob (600-450)=150
What is 9 plus 10 equals ?
Answer:
19
Step-by-step explanation:
9+10=19
could someone please help me?
Answer:
i-1
Step-by-step explanation:
2i 1−i = 2i(1+i)(1−i)(1+i)=2(i−1)1+i−i+1=2(i−1)2=i−1
PLEASE HELP THANK YOU
Answer:
g(-4)=1
Step-by-step explanation:
The equation is g(x), if we plug in the x-value of -4, what is g (which is y)?
Looking at the graph, at x=-4, y=1
Hope this helps!
Which arrangement shows 275, 5.36, 535, and 336 in order from least to greatest?
275, 5.36, 336, 535
535, 5.36, 275,336
5.36, 275,336, 535
5.36, 275, 535, 336
Answer:
I have a feeling it's 5.36, 275, 336, 535.
Sorry if I'm wrong.
Step-by-step explanation:
Answer:
C is the answer........
What postulate or theorem can be used to prove that these two triangles are congruent?
PLEASE HELP I REALLY NEED IT!!!
I will give brainliest.
Use the picture
Answer:
AAS postulate can be used to prove that these two triangles are congruent
Step-by-step explanation:
Let us revise the cases of congruence
SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd ΔSAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd ΔASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd ΔAAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd ΔHL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right ΔIn the given figure
∵ There is a pair of vertically opposite angles
∵ The vertically opposite angles are congruent ⇒ (1)
∵ There are two angles have the same mark
∴ These marked angles are congruent ⇒ (2)
∵ There are two sides have the same mark
∴ These two marked sides are congruent ⇒ (3)
→ From (1), (2), and (3)
∴ The two triangles have 2 angles and 1 side congruent
→ By using case 4 above
∴ The two triangles are congruent by the AAS postulate of congruency.
AAS postulate can be used to prove that these two triangles are congruent
Question
Precious bought 4į gallons of milk for $22. How much is one gallon of milk?
Answer:
5, remainder 2
Step-by-step explanation:
22 divided by 4 is 5 and remainder 2
Find the slope between the
following points:
(-3,3), and (5, 10)
Answer:
7/8
Step-by-step explanation:
I got it right
Answer:
7/8
Step-by-step explanation:
cuz
Find the value of k so that the binomial (x – 3) is a factor of the function f(x) = 3x + 2x + kr - 3.
A. 32
B. -32
C. 13
D. -13
E. -22
part:A A cylinder has a height of 14 cm and a diameter of 6 cm. What is the measurement of its diagonal?
part:B What is the height of this pyramid?
Answer:
for A i think its 2.333
and i guess thats what its height
5a + 12d - 19a -11d -a
Answer:
-15a+d
Step-by-step explanation:
5a-20a+12d-11d
-15a+d
18. The average honeybee can travel 10.5 feet per
second. How many feet can the honeybee travel in
3.7 seconds?
Answer:
38.85 feet
Step-by-step explanation:
If the honeybee can travel 10.5 feet per second you multiply 10.5 by 3.7 to get the total for 3.7 seconds.
The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area of the yard is 540 square feet, how many feet shorter than the length is the width?
A yard with a length of 30 feet and a width of (30 minus x) feet.
Which equation represents the scenario?
30 + (30 – x) = 540
540 – 30 = 30 – x
30(30 – x) = 540
540 – (30 – x) = 30
Answer:
30(30-x)=540
Step-by-step explanation:
Answer:
30(30 – x) = 540
c
Step-by-step explanation:
hi , which grade r u in ?
what does (2,12) represent
Answer:
An ordered pair
Step-by-step explanation:
I will mark brainliest!!!!!
Answer:
we need to c the triangle before we can answer btw
Step-by-step explanation:
Answer:
A' = (6, 1)
B' = (4, -1)
C' = (-6, 1)
Step-by-step explanation:
Use the rule 90° Clockwise: (x, y) ⇒ (y, -x).
I hope I helped and have a great day! ^-^
The triangles formed by a man, a pole, and a point on the ground between them, are similar. What is the height of the pole?
Draw the line and write an equation.
Line where the slope is 0, y-intercept is 5.
Complete the equation below
y=
Use x as your variable.
Laquan will give each guest at his party ¹⁄₂ of a cake. How many cakes should he order if 17 people are attending his party?
Answer:
9 cakes
Step-by-step explanation:
If each of the 17 people will eat 1/2 of a cake, you would 17*1/2 cakes. This is 17/2, or 8.5. You cannot usually order 8.5 cakes, so you would round up. 9 cakes.
Please help me out!!!!!
Answer:
k = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
I assume the function is
f(x) = 2x³ - kx² + x - 8k
2(2)³ - k(2)² + 2 - 8k = 2
- 12k + 16 = 0
3k - 4 = 0 ⇒ k = [tex]\frac{4}{3}[/tex]
1. If the area of the rectangle is 12 in squared and the base is 4/11, What is the height of the
rectangle?
33 in
48/11 in
4 4/11 in
12/11 in
WILL GIVE BRAINLEST
Answer:
33 jdkdkskfjsksjaks
Step-by-step explanation:
4/11×x=12
x=33
H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ x−5 1 −(x−4) 2 3x−2 , , , x=0 x=7 x =0,7 h(6)=h(6)=h, left parenthesis, 6, right parenthesis, equals
Answer:
h(6)=16
Step-by-step explanation:
khan
On Monday, the low temperature outside was 32 degrees above zero. On Christmas, it was 5 degrees below zero. What is the difference in the two temperatures?
Answer:
Difference in temperatures = 37 degree
Step-by-step explanation:
Given:
Temperature above zero = 32 degree
Temperature below zero = -5 degree
Find:
Difference in temperatures
Computation:
Difference in temperatures = Temperature above zero - Temperature below zero
Difference in temperatures = 32 - (-5)
Difference in temperatures = 37 degree
Jailene is mixing marshmallows and
Rice Krispies to make Rice Krispy
treats. The number of cups of
marshmallows, m, needed for r
cups of Rice Krispy r is described by
the equation r= 1.5m.
How many cups of marshmallows
are needed to mix with 3 cups of
Rice Krispies?
Answer:
m = 2
Step-by-step explanation:
The number of cups of marshmallows, m, needed for r cups of Rice Krispy r is described by the equation :
r= 1.5m ...(1)
We need to find the no. of marshmallows are needed to mix with 3 cups of Rice Krispies.
Pu r = 3 in equatin (1) :
[tex]m=\dfrac{r}{1.5}\\\\m=\dfrac{3}{1.5}\\\\m=2[/tex]
So, there are 2 cups of marshmallows .
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos
cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of
$78.50 and sold a total of 87 nachos and sodas combined. Which system of equations
represents this situation?
Answer:
x+y = 87
1.5x+0.5y = 78.5
Step-by-step explanation:
Let x = number of nachos sold and y = number of sodas sold
x+y = 87 because that's the total number of nachos and sodas he sold
1.5x+0.5y = 78.5 because nachos cost $1.50 and sodas cost $0.50 and David made a total of $78.50
find the slope given the points (1,4) and (5,9)
Answer:
the slope is 5/4
Step-by-step explanation:
use the formula y2 - y1 over x2 - x1, and plug in the coordinates into that
The slope of the line whose points are (1, 4) and (5, 9) will be 1.25.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The points are given below.
(1, 4) and (5, 9)
The slope of the line is given as,
m = (9 - 4) / (5 - 1)
m = 5/4
m = 1.25
The slope of the line whose points are (1, 4) and (5, 9) will be 1.25.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
In AWXY, X = 1.2 cm, ZX=45° and Y=108°. Find the length of w, to the nearest 10th
Answer:
The length of w is 0.8 cm
Step-by-step explanation:
In Δ WXY
x is the opposite side to ∠X
w is the opposite side to ∠W
y is the opposite side to ∠Y
∵ m∠X = 45°
∵ m∠Y = 108
∵ The sum of the measures of the interior angle of a triangle is 180°
∴ 45 + 108 + m∠W = 180
→ Add the like terms in the left side
∵ 153 + m∠W = 180
→ Subtract 153 from both sides
∴ m∠W = 27°
Now we can use the sine rule to find the length of w
∵ [tex]\frac{w}{sin(W)}[/tex] = [tex]\frac{x}{sin(X)}[/tex] = [tex]\frac{y}{sin(Y)}[/tex]
→ Use the first 2 ratios to find w
∵ x = 1.2 cm
∵ [tex]\frac{w}{sin(27)}[/tex] = [tex]\frac{1.2}{sin(45)}[/tex]
→ By using cross multiplication
∴ w × sin(45) = 1.2 × sin(27)
∴ w sin(45) = 1.2 sin(27)
→ Divide both sides by sin(45)
∴ w = 0.7704474263
→ Round it to the nearest tenth
∴ w = 0.8 cm
∴ The length of w is 0.8 cm
Brainliest to the right answer! please help!
Answer:
-2x+7y
Step-by-step explanation:
Fist look at the x and then y.
Can i have some help
Answer:
y = -1/3x
Step-by-step explanation:
The slope of that are perpendicular lines are negative opposites of each other. If a line has a slope of 3, then a line perpendicular to it will have a slope of (-(1/3)).
Use the equation of a line in point-slope form to solve this;
y = mx + b
where "m" is the slope and "b" is the y-intercept.
Substitute the slope in;
y = (-1/3)x + b
Since it passes through the origin, then it has no y-intercept, therefore the equation of the line is;
y = -1/3x
PLEASE HELP! 13 POINTS
jacks mom purchased a savings bond for jack. the value of the savings bond increases by 5% each year. one year after it was purchased, the value of the savings bond was $210. find the value of the bond when jacks mom purchased it.
