Answer:
Step-by-step explanation:
y - 6 = 3(x + 5)
y - 6 = 3x + 15
y = 3x + 21
28. SUBMARINE A submarine dives 106 feet below the water. Then it rises
63 feet.
Harlon wrote the equation uppercase A = 18 (x squared + 1) to find the area of a rectangle that has a length of x squared + 1 and a width of 18. He solved for x and got x = plus-or-minus StartRoot StartFraction uppercase A Over 18 EndFraction minus 1 EndRoot Which of the following is an equivalent equation for x?
Answer: x= a-18/18
Step-by-step explanation:
The expression equivalent to this is letter A. x= ±√(A-18/18)
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
To solve for x in the equation for the area which was given to be;
A = 18(x^2 + 1),
So, we divide both sides of the equation by 18 first.
A/18 = x^2 + 1
Then, we subtract 1 from both sides of the equation;
A/18 – 1 = x^2
Then, we simplify the expression in the left side of the equation;
(A – 18)/18 = x^2
And obtain the square root from both sides of equation,
x= ±√(A-18/18)
Therefore, The expression equivalent to this is letter A. x= ±√(A-18/18)
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Evaluate (101.5)^2 – (100.5)^2 *
Answer:
[tex]\boxed{202}[/tex]
Step-by-step explanation:
[tex](101.5)^2-(100.5)^2[/tex]
[tex]= 10302.25 - 100.5^2[/tex]
[tex]= 10302.25 - 10100.25[/tex]
[tex]= 202[/tex]
Hope this helped you!
202
Step-by-step explanation:Hi there !
(101.5)² – (100.5)² =
use formula a² - b² = (a - b )(a + b)
= (101.5 - 100.5)(101.5 + 100.5)
= 1×202
= 202
Good luck !
Solve each inequality.
1. 2(k + 4) - 3k ≤ 14
2. 3(4c - 5) - 2c > 0
3. -x + 2 < 3x - 6
4. 3v - 12 > 5v + 10
3. -x + 2 < 3x - 6
=3x +x < 2 + 6
=4x < 8
=x > 8/4
=x > 2
4. 3v - 12 > 5v + 10
= 5v-3v > 10+12
=2v > 22
= v < 22/2
=v < 11
scar goes to the gym 4 times per week. Every time he walks 5 miles on the 4 points
treadmill. How many miles does he walk on the treadmill in one year?
Answer:
He walks 1,060 miles on the tremil in one year.
Step-by-step explanation:
4*5=20*53=1,060
There are 53 sometimes 52 weeks in a year,2020 wise 53 so 53*20=1,060 miles.
Write the equation of the line that passes through the given points. (8,0) and (0,4)
Answer:
[tex]y = - \frac{1}{2} x + 4[/tex]
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
This is also known as the slope-intercept form.
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }, \\ where \: (x1, y1) \: is \: the \: 1st \: coordinate \: and \: (x2, y2) \: is \: the \: 2nd \: coordinate.[/tex]
Find the value of m using the gradient formula above:
[tex]m = \frac{4 - 0}{0 - 8} \\ m = \frac{4}{ - 8} \\ m = - \frac{1}{2} [/tex]
Substitute m= -½ into the equation:
y= -½x +c
To find the value of c, substitute a pair of coordinates:
When x= 0, y=4,
[tex]4 = - \frac{1}{2} (0) + c \\ 4 = c \\ c = 4[/tex]
Thus, the equation of the line is y= -½x +4.
halp meh i need to do this by tommarow
6/11
Step-by-step explanation:
hope it helps also what's the dot?
how to find a in this ?
Answer:
see explanation
Step-by-step explanation:
(a)
The triangle has 2 congruent sides and is therefore isosceles.
(b)
The base angles of an isosceles triangle are congruent, thus
a = [tex]\frac{180-52}{2}[/tex] = [tex]\frac{128}{2}[/tex] = 64
(c)
a = b = 64 ( alternate angles )
is 15 square rooted rational
Answer: The square root of 15 is a rational number
explanation: if 15 is a perfect square. ... Since 15 is not a perfect square, it is an irrational number. This means that the answer to the square root of 15 will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.
How many 1/4 pieces are in 5 3/4
Answer:
23
Step-by-step explanation:
3/4 has 3 of 1/4 pieces.
5 has 20 of 1/4 pieces.
The number of pieces of 1/4 in 5 3/4 is 23 pieces
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pieces be = A
Let the number be = 1/4
Now , the number of pieces of 1/4 in 5 3/4 is calculated as
The number 5 3/4 is converted into mixed fraction is 23/4
So , the equation is
The number of pieces of 1/4 x n = 23 / 4
So , the equation will be
n x 1/4 = 23 / 4 be equation (1)
Multiply by 4 on both sides , we get
n = 23 pieces
Therefore , the number of pieces 1/4 is in 5 3/4 is 23 pieces
Hence , The number of pieces of 1/4 in 5 3/4 is 23 pieces
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george floyd was what race
Answer:
African American (aka Black)
Answer:
african american blm/alm
Step-by-step explanation:
When two objects are near each other, how would increasing one object’s mass affect it?
Solve for x
65°
40°
X+85°
Answer:40.
Step-by-step explanation:
2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?
Answer:
There are 171 members in the club
Number of boys = 38
Number of girls = 133
Step-by-step explanation:
Let
x = total members of the club
Boys = 2/9x
if there are 95 more girls than boys
Girls = 2/9x + 95
how many girls are there in club?
Total members in the club = boys + girls
x = 2/9x + 2/9x + 95
x = 2+2/9x + 95
x = 4/9x + 95
x - 4/9x = 95
9x-4x/9 = 95
5/9x = 95
Divide both sides by 5/9
x = 95 ÷ 5/9
= 95 × 9/5
= 855/5
= 171
boys = 2/9x
= 2/9 * 171
= 342 / 9
= 38
Girls = 2/9x + 95
= 38 + 95
= 133
Total = 38 + 133
= 171
There are 171 members in the club
Number of boys = 38
Number of girls = 133
Jerry has just purchased his first home for $190,000. He put down a 20 percent down payment of $38,000 and took out a 5 percent mortgage for the rest. His mortgage payment is $700 per month. How much of his first monthly mortgage payment is amortization?
Answer:
$66.67
Step-by-step explanation:
The calculation of first monthly mortgage payment is amortization is given below:-
Amount borrowed = Purchase first home cost - Down payment
= $190,000 - $38,000
= $152,000
Annual interest = ($152,000 × 5%) ÷ 12
= $7,600 ÷ 12
= $633.33 per month
Now,
First monthly payment = Mortgage payment - Annual interest
= $700 - $633.33
= $66.67
Hence, we simply applied the above formula.
Triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82∘. What is the largest angle measure in triangle DEF?
Answer:
164
Step-by-step explanation:
Because if you multiply 82 x 2 it would equal 164 but you can also divide each number by 82 to get your answer
Evaluate: 30 - 12÷3×2 =
Answer:
22
Step-by-step explanation:
We can use the order of operations (PEMDAS), to solve this equation.
We must first multiply and divide, and order. This means we divide 12 by 3 and get 4, then multiply that by 2 and get 8. (30-12÷3×2,30-4×2,30-8). Now we just subtract 8 from 30 and get 22 as our answer.
2) A drum full of rice weighs 40 1/6 pounds . If the empty
drum weighs 3 3/4 pounds. find the
weight of rice in the
drum
Answer:
36.416 the 6 is repeating repeating
Step-by-step explanation:
I believe this is right. I hope this helps you!! I apologize if wrong.
y=-2 4x-3y=18 equations using substitution
Answer:
X = 3
Y = -2
Step-by-step explanation:
If y = -2, you can plug in -2 for y in the equation 4x - 3y. This means that this equation will become 4x -3(-2) = 4x+6=18. Solve for x from this, and you will get 3.
Answer:
x=3/y=-2
Step-by-step explanation:
help me please
(pythagorean theorem)
Answer:
13 cm × 12 cm
Step-by-step explanation:
The diagonal of the top or bottom faces of the box is the hypotenuse of a triangle with legs 12 cm and 5 cm. The Pythagorean theorem tells you that diagonal length is ...
d = √(12² +5²) = √(144 +25) = √169 = 13 . . . cm
The width of the divider is 13 cm.
The height of the divider is shown as 12 cm.
The dimensions of the dividing rectangle are 13 cm by 12 cm.
Solve -11 > -1 - 2x solve and check your answer
Answer:
x>5
Step-by-step explanation:
-11>-1-2x
2x>-1+11
2x>10
x>5
Answer:
5 > x
Step-by-step explanation:
-11 > -1 -2x ---> plus one on each side---> -10 > -2x ----> divide by -2 --> 5 > x
Company DIMOND just paid annual dividend of $5 today. The dividend is expected to grow at 3% for the next 5 years, then it will grow at 5% in perpetuity. If stocks of similar company earn 9% annual return, what is the price of a share of Company DIMOND stock?
Answer:
$120.05
Step-by-step explanation:
Div₀ = $5
Div₁ = $5.15
Div₂ = $5.3045
Div₃ = $5.463635
Div₄ = $5.62754405
Div₅ = $5.796370372
Div₆ = $6.08618889
first we must determine the terminal value on year 5:
terminal value = $6.08618889 / (9% - 5%) = $152.1547223
now we determine the present values of our future dividends + terminal value = $5.15/1.09 + $5.3045/1.09² + $5.463635/1.09³ + $5.62754405/1.09⁴ + $5.796370372/1.09⁵ + $152.1547223/1.09⁵ = $4.724 + $4.464 + $4.219 + $3.987 + $3.767 + $98.890 = $120.05
Jacob ordered pizza from his favorite pizzeria. The pizzeria delivers pizzas for $10 each plus a delivery charge of $2.99. Jacob paid a total of $32.99. Write an equation that models this situation. Let p = the number of pizzas delivered. Equation:
Answer:
$10p + $ 2.99 = $32.99
Step-by-step explanation:
I got this because he got multiple pizzas that are each $10, but we don't know how many there are, so I put $10p together.
He also pays $2.99 as a delivery charge.
And I ended it with the equation equaling $32.99 because that is the total he paid.
Solve for d please !!!!
Answer:
f²r-nr=d
Step-by-step explanation:
f²r-N=d/r
multiply both sides by r to get d by itself
f²r-nr=d
(all variables need to be there in your final equation)
Cameron said that the Y intercept of a quadratic function always tells the maximum value of the function. explain Cameron's error
Answer:
We can have two cases.
A quadratic function where the leading coefficient is larger than zero, in this case the arms of the graph will open up, and it will continue forever, so the maximum in this case is infinite.
A quadratic function where the leading coefficient is negative. In this case the arms of the graph will open down, then the maximum of the quadratic function coincides with the vertex of the function.
Where for a generic function:
y(x) = a*x^2 + b*x + c
The vertex is at:
x = -a/2b
and the maximum value is:
y(-a/2b)
Ahmad and Ben have a total of 78 keychains.
Ben has twice as many keychains as Charlie.
Ahmad has 6 keychains less than Charlie.
.
.
.
.
.
.
(a) How many keychains does Ahmad have?
(b) How many keychains does Charlie have?
Sorry it was tru
2C=B
C-A=6 A=C-6
A+B+C=78
78=C-6+2C+C
When a dilation occurs the original figure is
Answer:
A dilation stretches or shrinks the original figure. A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch).
Step-by-step explanation:
if ab is 2x+3 bc is 3x+5 and ac is 38 what is the value of x
Answer:
x would equal 8. because you would add AB and BC together and set it equal to AC
Hoped I helped
Can I get a brainliest
which expression is equivalent to -14–6?
Answer:
-14+(-6) = -6+(-14)
what is 3(5)+(-2+4-5)? explanation needed, please. I need to turn my work for it in in about 30 minutes.
Answer:
12
Step-by-step explanation:
3(5)+(-2+4-5)
Use PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
(-2+4-5)=-3
3(5)-3
3(5)=15
15-3=12
Answer:12
