Answer:
10z + 6
Step-by-step explanation:
(3z + 1) + (5 + 7z) =
Drop the parentheses since they are unnecessary.
= 3z + 1 + 5 + 7z
Group like terms together.
= 3z + 7z + 1 + 5
Combine like terms.
= 10z + 6
Answer: 10z + 6
Step-by-step explanation: So you simplify the expression by adding 3z and 7z to get 10z. Next u add 1 and 5 to get 6. Combine those two to get the final answer of 10z+6.
Triangle MNO is reflected over the x-axis and then translated up 4 and right 3. On a coordinate plane, triangle O M N has points (1, 3), (2, 1), (negative 1, 2). Triangle O prime M prime N prime has points (4, 1), (5, 3), (2, 2).
How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same
position?
Answer:
Option A. Translate the pre-image down 4 and right 3 and then reflect the figure over the x-axis
Step-by-step explanation:
The required translation is to translate triangle MNO 4 units down and 3 units left. Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.
Here,
Triangle MNO is reflected over the x-axis and then translated up 4 and right 3.
On a coordinate plane, triangle OMN has points (1, 3), (2, 1), and (-1, 2). Triangle O'M'N' has points (4, 1), (5, 3), (2, 2).
Before reflection, the translation of MNO is given as 4 units down and 3 units left.
Thus, the required translation is to translate triangle MNO 4 units down and 3 units left. Option A is correct.
Learn more about transformation here: https://brainly.com/question/18065245
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What is the area of the regular pentagon with 5 inch sides and an apothem that measures 4.2 inches?
Answer:
43.01m^2
Step-by-step explanation:
[tex]A=\frac{1}{4} \sqrt{5(5+2\sqrt{5}) } a^2\\[/tex]
This is the formula for a pentagon
Answer:52.2in
Step-by-step explanation:
Did it on a test and got it correct
2/3 + (-5/7)
.........
Answer:
-1/21
Step-by-step explanation:
2/3 + -5/7
Get a common denominator of 21
2/3 *7/7 = 14/21
-5/7*3/3 = -15/21
14/21 - 15/21 = -1/21
Answer:
-1/21
Step-by-step explanation:
2/3 + (-5/7)
2/3 - 5/7
Lcm: 21
(2×7 - 5×3)/21
(14 - 15)/21
-1/21
What is the answer to this question?
Answer:
72
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
math question down below
( multiple choice)
Answer:
A
Step-by-step explanation:
I added all the numbers for both trucks and I got 800 on both of them.
Which is an equation of the line through (-1,-4) and parallel to the line 3x+y=5
y = -3x + 7
y = -3x - 7
y = 3x + 1
y = 3x - 1
Answer:
Step-by-step explanation:
hello :
the slope for the line :3x+y=5 is : -3 because you can write y = -3x+5
the equation is : y= -3x-7
the line passes through (-1,-4) ( because when x=-1 y=-3(-1)-7 =3-7=-4) and parallel to the line 3x+y=5 have same
slope : -3
The sum of three consecutive terms of an A.P is 18 and their product is 120. Find the terms?
Answer:
2 6 10
Step-by-step explanation:
Find the range of the data in the box plot below.
pencils
PLZ ASAP PLZ ASAP
Answer:
12
Step-by-step explanation:
the range is = maximum value given - the minimum value given
the data is spread from 0 -12. that means that someone either had 0 pencils or any other number of pencils to 12.
the range would then be 12 - 0.
Which of the following functions is graphed below?
ASAP !!
Answer:
B. y=[x]+4
when you plug it into the calculator you get b
!! NEED RN, MARKING BRAINLIST !!
What is the value of x?
Answer:
5 sqrt(3)
Step-by-step explanation:
Since this is a right triangle
sin theta = opposite side/ hypotenuse
sin 60 = x /10
10 sin 60 = x
10 sqrt(3) /2 =x
5 sqrt(3) =x
Answer:
5√3
Step-by-step explanation:
The sine function ties together the information at hypotenuse = 10, opposite side = x and angle of elevation = 60 degrees:
sin 60 degrees = opp side / hypotenuse = x/10.
Therefore, x = 10 sin 60 degrees = √3/2, and so x = 10√3/2 = 5√3 (equal to the third answer choice).
Find the equation of the line that passes through the point (3,14) and is parallel to the following line y = 2/3x + 4
Answer:
y = 2/3x + 12
Step-by-step explanation:
Parallel means the same slope.
Using point-slope formula, you can find the new equation.
y-14 = 2/3 (x-3)
y-14 = 2/3x - 2
y = 2/3x + 12
Y=4×^2-13×+10 what is the quadratic function by factoring?
Answer:
(4x-5)(x-2)
Step-by-step explanation:
factors of 10: 1,10, &2,5
factors of 4: 1,4 &2,2
(4x-5)(×-2)
ariq’s design for a swimming pool is shown here. What is the area of the pool cover needed for the design?
____ ft^2
Answer:
it’s 76 ft squared
Step-by-step explanation:
happy to help:)
6,291 DIVIDED BY 3 = ?
its easy i know lets see if your smart.
Answer:
6,291÷3=2,097
Hope this helped :)
the answer is 2,097
Step-by-step explanation:
6,291 divided bt 3= 2,097
The exponential function f, represented in the table, can be written as
f (x)=a*b^x
x | y
___
0|5
1 | 8
Answer:
f(x) will be 11
Step-by-step explanation:
since the first 1 is (0,5) the (0,8) so +3 so next would be 11
Answer:
5(8/5)^x
Step-by-step explanation:
find the area of this triangle. pls help
Answer:
area is 24
Step-by-step explanation:
!! Please help!!
With the exception of 1 and 63, find all the numbers that divide into 63 with no remainder
A. 2, 3,6
B. 3,9,21
c. 3,7
D 3,7,9, 21
E, 3,7,9
Answer:
the factors of 63 are:
1,3,7, 9, 21, 63
D. 3, 7, 9, 21, 63
Step-by-step explanation:
Which of the following statements NOT true?
Plz I need help with this problem. I'm dumb
Answer:
V_rectangular_box = width x height x length
V = V_big_one + V_small_one
= (1/3)x(1/4)x(5/8) + (1/6)x(1/4)x(1/4) = 1/16 (ft3)
Answer:
fjdjdkhfidkfjsidmi
Step-by-step explanation:
irufusidjf9sodf8wpud8dkdhd8idhddh
Help me solve this.50+(3x+4)
Answer:
50+4=54 and you can't add a number with a letter to th number that doesn't so it is 54+3x.
Step-by-step explanation:
Answer:
54+3x
Step-by-step explanation:
Hope this helps! Have a nice day!
In the fraction below, which number is the numerator?
4
14
O A. 4
O B. 13
SUBMIT
a
Triangle ABC is isosceles.
Triangle A B C is shown. The lengths of sides A C and A B are congruent. Angle C A B is (x + 5) degrees. Angle A B C is (3 x) degrees.
What is the measure of angle C?
25°
30°
60°
75°
Answer: 75°
Step-by-step explanation:
Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:
x + 5 + 3x + 3x = 180
simplify
7x + 5 = 180
subtract 5 from both sides
7x = 175
divide each side by 7
x = 25
plug 25 in for x to find the angle measure
3(25) = 75
The measure of angle ∠C would be 75 degrees which is the correct answer would be option (D).
The lengths of sides AC and AB are congruent.
Angle CAB = (x + 5) degrees.
Angle ABC = (3 x) degrees.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
We may deduce that ABC and ACB are congruent by using the Base Angles Theorem. Because the angles of a triangle sum up to 180 degrees, we may solve for x using this equation:
⇒ x + 5 + 3x + 3x = 180
Rearrange the likewise terms and apply the arithmetic operation,
⇒ 7x + 5 = 180
Subtract 5 from both sides of the above equation,
⇒ 7x = 175
Divide both sides by 7 of the equation,
⇒ x = 25
Since Angle ∠ABC is (3 x) degrees.
Substitute the value of x = 25 to find the angle measure
⇒ Angle ∠C = 3(25) = 75°
Therefore, the measure of angle ∠C would be 75 degrees.
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The population P of birds in an area is modeled by the exponential model
P(t) = 30e-95t where t represents time in years.
Is the population of birds increasing or decreasing?
a. Increasing
b. Decreasing
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Given f(x)=(2x-3)(3x+7), what is the y-intercept
Answer:
(0,-21)
Step-by-step explanation:
The x value of a y intercept is always 0
So we can plug in 0 to the equation to solve for the y intercept
(2*0-3)(3*0+7)
-3*7= -21
y intercept: (0,-21)
Answer:
-21
Step-by-step explanation:
f(x)=(2x-3)(3x+7)
The y intercept is when x=0
f(0) = (0-3) (0+7)
-3*7
-21
The y intercept is -21
1/3 x 1 1/4 as a fraction
Answer:
11/12
Step-by-step explanation:
1
3
(
11
4
)
=(
1
3
)(
11
4
)
=
(1)(11)
(3)(4)
=
11
12
(Decimal: 0.916667)
PLease mark me brainllest!!!
The given equation in fraction should be [tex]\frac{5}{12}[/tex]
Calculation of the fraction:Since two fractions are given i.e. [tex]\frac{1}{3}[/tex] and [tex]1 \frac{1}{4}[/tex]
We have to multiply these two in fractions
So,
[tex]= \frac{1}{3} \times 1\frac{1}{4}\\\\ = = \frac{1}{3} \times \frac{5}{4} \\\\= \frac{5}{12}[/tex]
Therefore, we can concluded that The given equation in fraction should be [tex]\frac{5}{12}[/tex]
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A catalog store has 9% of its orders returned for a refund. The owner predicts that a new candle will have 1,284 returns out of the 16,496 sold. Do you agree with this prediction? Select from the drop down menu the words and numbers into the statements to complete the explanation.
Answer:
No. 1,284 is not 9% of 16,496
Step-by-step explanation:
9% of 16,496
9/100 × 16496
1484.64
1284 is not 9% of 16,496
Eduardo has purchased a home with an assessed value of $179,000. The
property tax rate in his area is 2.3%. What is his monthly tax payment?
O A. $343.08
O B. $341.98
C. $345.76
O D. $348.67
Answer: A. 343.08
Step-by-step explanation:
with the property tax rate and monthly tax payment is what were looking for
Which of the following functions has the largest value when x= 3? Show your work.
p(x) = 2x^2 + 4x + 11
h(x) = 4x
s(x)=10x
Answer:
p(x)
Step-by-step explanation:
Substitute x = 3 into each function and calculate the value.
p(3) = 2(3)² + 4(3) + 11 = 2(9) + 12 + 11 = 18 + 12 + 11 = 41
h(3) = 4(3) = 12
s(3) = 10(3) = 30
Thus p(x) = 41 is the largest value when x = 3
Please help me please help me please help me please help me please help me ASAP ASAP ASAP ASAP ASAP ASAP ASAP The temperature outside is dropping 4 degrees each hour. After 7 hours, how much did the temperature drop?
Answer:
28 degrees
Step-by-step explanation:
Answer:
4-8-12-16-20-24-28 so 28
Step-by-step explanation:
