Answer:
x = 3
Step-by-step explanation:
7x-8=13
Add 8 to each side
7x-8+8=13+8
7x = 21
Divide each side by 7
7x/7 = 21/7
x = 3
Which expression is equivalent to 10k + 17 - 7j - 18 - 11k?
-8jk - 1
-7j - k - 1
-7j + k + 1
-8j - k
PLEASE HURRY !!!!
20 POINTS!!!
Answer:
-7j-k-1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.
10k + 17 - 7j - 18 - 11k
10k -11k + 17 - 18 - 7j Move to group like terms together.
-k - 1 - 7j
help 0-0-0-0-0-0-0-0-0-0-0-0-0-0
Answer:
(12,0)
Step-by-step explanation:
So whenever you are asked for an "intercept" it is the point where a line crosses the axis. The x intercept is where the line crosses at the x axis (horizontal line on the graph) and the y intercept is where the y axis crosses (vertical axis).
So this question is really asking where is the point when y = 0
The x values in the chart are 5 apart-- 22 +5 = 27, 27+ 5 = 32
The y values are 18 apart --> 36 + 18 = 54, 54+ 18 = 72
Make a little chart where y = 0 (this is where the x crosses) and you can see
there is a point at (17, 18) and then (12, 0) and that point is the x intercept.
Answer:
(12, 0)
Step-by-step explanation:
the x-intercept is the point, where y=0.
so, the second coordinate is therefore 0, no matter what.
now, at what x is that ?
let's find the line function.
a line is
y = a×x + b
let's use the first point (22, 36)
36 = a×22 + b
a = (36 - b)/22
let's use the second point (27, 54)
54 = a×27 + b
now we use the first expression describing a in terms of b and insert that into the second expression.
54 = 27×(36 - b)/22 + b
54×22 = 27×(36 - b) + 22b = 972 - 27b + 22b
1188 = 972 - 5b
216 = -5b
b = -43.2
=>
a = (36 - -43.2)/22 = (36 + 43.2)/22 =79.2/22 = 3.6
our line is
y = 3.6x - 43.2
so, now back to the question, at what x is y=0 ?
0 = 3.6x - 43.2
3.6x = 43.2
x = 12
In the diagram below of triangle PQS, S is the midpoint of PR and T is the midpoint of QR. If ST = 5x - 22, and PQ = 3x + 19, what is the measurement of PQ?
Answer:
PQ = 46
Step-by-step explanation:
The midsegment ST is half the length of the third side PQ , that is
ST = [tex]\frac{1}{2}[/tex] PQ , so
5x - 22 = [tex]\frac{1}{2}[/tex] (3x + 19) ← multiply both sides by 2 to clear the fraction
10x - 44 = 3x + 19 ( subtract 3x from both sides )
7x - 44 = 19 ( add 44 to both sides )
7x = 63 ( divide both sides by 7 )
x = 9
Then
PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46
A circle has a radius of 6cm. What is the area of a sector subtended by an angle of 30 degrees
Answer:
1/12 of the area of the circle
Step-by-step explanation:
Since the total angle measure of a circle is 360 degrees, a 30 degree sector is 30/360=1/12
In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg? O A. sqrt2:1 O B. 1:1 Oc. C. 2:1 O D. 1:sqrt2
Answer:
B. 1 : 1
Step-by-step explanation:
the triangle has the same size of legs (the same angles 45°)
Dylan is saving money to buy a new bike that costs $195. He has $25 already saved and plans to save $40 each week. Which equation can be used to find the number of weeks he will need to save money to buy the bike?
Answer:
25+40x=195
Step-by-step explanation:
If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).
Evaluate e^4 to one decimal place
Answer:
The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6
The exponent on b when b^3 is multiplied by b^3 is
A. 3
B. 6
C. 9
Answer:
B. 6
Step-by-step explanation:
3³ x 3³ = 3⁶
The answer is 6
Answer:
B) 6
Step-by-step explanation:
The reason for this is really awesome and is clearly seen when you expand it.
x^3= x times x times x
x^3= x times x times x
x^3 times x^3= x times x times x times x times x times x= x^6
helppppppp really please.
Answer:
x ≈ 101.5
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan44 = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{98}{x}[/tex] ( multiply both sides by x )
x × tan44° = 98 ( divide both sides by tan44° )
x = [tex]\frac{98}{tan44}[/tex] ≈ 101.5 ( to the nearest tenth )
Given the equation −4square root of x minus 3 = -12, solve for x and identify if it is an extraneous solution.
A. x = 0, solution is extraneous
B. x = 0, solution is not extraneous
C. x = 12, solution is extraneous
D. x = 12, solution is not extraneous
Answer:
D. x = 12, solution is not extraneous
Step-by-step explanation:
-4√(x - 3) = -12
Divide both sides by -4
√(x - 3) = 3
Square both sides
x - 3 = 9
add 3 to both sides
x = 12
To see if it's extraneous plug into original problem
-4√(12 - 3) = -12
-4√(9) = -12
-4 * 3 = -12
-12 = -12
not extraneous
Convert the following decimal to fraction 3.04
Answer:
3 1/25
Step-by-step explanation:
3.04
Do the decimal part first
.04 = 4/100
Reduce - cancel out 4
1/25
Put back the whole number
3 1/25
Answer:
3 [tex]\frac{1}{25}[/tex]
Step-by-step explanation:
I agree with the previous answer :
You need to do it part by part.
0.04 is equal to [tex]\frac{4}{100}[/tex]
[tex]\frac{4}{100}[/tex] simplified (we divide by 4 with both the denomantor and the numerator.) =
[tex]\frac{1}{25}[/tex]
And we still have those 3 wholes that we had in the beginning.
Now we add.
3 + [tex]\frac{1}{25}[/tex] = 3 [tex]\frac{1}{25}[/tex]
8p²-18p² need help from brainliest
Answer:
- 10p2
Step-by-step explanation:
p(8p - 18 p)
p x -10p
ans = -10p2
Answer: -10p²
This is the same as saying -10p^2
============================================
Explanation:
Both terms 8p² and -18p² are like terms.
We combine them in much the same way as 8-18 = -10, just with a p² attached to everything.
So 8p² - 18p² = (8-18)p² = -10p²
The coefficient -10 is negative because we're subtracting small minus big. If it was the other way around, then we'd get a positive value.
Surface area of a cube please HELP HELP HELP
Answer:
The surface area of the cube is 294 m^2
Step-by-step explanation:
The formula for the surface area of a cube is:
(a^2) 6
Explanation behind formula:
a represents the side length. a^2 is the area of one face of the cube. Multiply that by 6 because there are 6 faces on a cube.
(Surface area- the area of each face of a figure)
Use formula with the given:
(7^2) 6 = 294
Surface area is measured in square meters.
(meters in this situation)
Therefore, the surface area of the cube is
294 m^2
Hope this helps!
Answer:
294
Step-by-step explanation:
formula is = 6(side length)^2
6x(7)^2
=294
Using the following image, complete the statement below. I got all the answers I need the ones that is blank
Answer:
DE is congruent to BE , ED is congruent is EB and the last one is midpoint.
Step-by-step explanation:
What percent is represented by the shaded area?
Answer:91%
Step-by-step explanation:
Find the distance between the pair of points: (0,-8)and (0,4)
Step-by-step explanation:
the answer is in the image above
Answer:
12
Step-by-step explanation:
[tex]\sqrt{0^{2} + 12^{2} }[/tex]
12
PLEASE HELP WILL MARK BRAINLIEST - An airplane travels 150 miles horizontally during a decrease of 35,000 feet vertically.
1. What is the angle of descent?
2. How long is the plane's path?
Answer:
[tex]\text{1. }2.53^{\circ},\\\text{2. }792,772.98\:\mathrm{ft}[/tex]
Step-by-step explanation:
Start by converting miles to feet:
[tex]150\text{ miles}=150\cdot 5280\text{ feet}=792000\text{ feet}[/tex]
Form a right triangle with the plane's displacement marking the hypotenuse of this triangle. We can now use basic trig for a right triangle to solve for the angle of descent.
Let the angle of descent be [tex]\theta[/tex]. In a right triangle, the tangent of an angle is equal to its opposite side divide by its adjacent side.
Therefore, we have:
[tex]\tan \theta=\frac{35000}{792000},\\\\\theta =\arctan(\frac{35000}{792000})=2.53036411\approx \boxed{2.53^{\circ}}[/tex]
In all right triangles, [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle (Pythagorean Theorem).
Therefore, the length of the plane's path is:
[tex]35,000^2+792,000^2=c^2,\\c^2=628489000000,\\c=\sqrt{628489000000}=792772.981376\approx \boxed{792,772.98\:\mathrm{ft}}[/tex]
PLEASE HELP: Click on the graph to choose the correct answer to the equation.
y > 2
(Choose one of the graphs from the image as the answer)
Answer:
The 8th graph.
Step-by-step explanation:
It has a horizontal line over two which indicates that the y axis is known and over 2.
The required graph of the given inequality y > 2 is shown in the attached file, which is the correct answer that would be an option (H).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been the given inequality y > 2
Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).
It has a horizontal line over two which represents that the y-axis is known and over 2 in the attached graph.
Therefore, the required graph of the given inequality y > 2 is shown in the attached file.
Hence, the correct answer would be option (H).
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
Anita burger purchased 14 gallons of gas for $34.72. How much did she pay for each gallon
Step-by-step explanation:
14 gallons bought for $34.72
1 gallon bought for
[tex] \frac{34.72}{14} [/tex]
=$2.48
someone PLSSS HELPPP fast plsss !!!
Will mark brainliest
Answer:
the answer would be 270
Step-by-step explanation:
i can explain later:
since x = 5, you plug it in f = 4x +7, and you get f = 27 and since 1/2x is in the denominator, it will flip over and become 2x. 2x is 10, so you multiply f by g and get 270 which is if f/g(5) is the question.
Its due in 20 mins
Will mark brainliest
Answer:
a) 20 km away fro the starting point.
b) The bearing from P to R is 80°.
c) Q is 60 km North P.
d) Q is - 60 km west of P
Step-by-step explanation:
Stating Facts in the Question:
P to Q is 80 km and bearing 330°
It turned around, Q to R is 60 km and bearing 250°.
a) Picture a number line (Look at the first image)
You go 80 to the right. You turn around and go 60 to the left.
80 - 60 = 20
20 km away fro the starting point
b) Picture a number line (Look at the second image)
P to Q is bearing 330°
Q to R is 60 km is bearing 250°
P to Q is red
Q to R is blue
330° - 250° = 80°
The bearing from P to R is 80°
c) P to Q is 60 km
The plane went forward or North so the answer is 60 km.
Q is 60 km North P.
d) Q to P is 60 km
Q is not to the west of P
Q is - 60 km west of P
Which of the following is the proper name for the figure below?
T
M
A
y
X
Ο Α. ΔΑΤΧ
Ο Β. ΔΑΤΜ
Ο C. ΔΑΥΜ
Ο D. ΔΑΥΧ
Answer:
A
Step-by-step explanation:
i don't know the real answer but i have learned it before so it's an educated guess
What expression is equivalent to (5z^2+3z+2)^2
?
Answer:
[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answer:
(0.5, -3.5)
Step-by-step explanation:
(x1 + x2/2, y1 + y2/2)
(-2 + 3 / 2, -5 - 2 / 2)
(1/2, -7/2)
Find the distance between the points (1,5) and (3,0). Round your answer to the nearest tenth.
Answer:
5.4 units
Step-by-step explanation:
Hi there!
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (1,5) and (3,0)
[tex]d=\sqrt{(3-1)^2+(0-5)^2}\\d=\sqrt{(2)^2+(-5)^2}\\d=\sqrt{4+25}\\d=\sqrt{29}\\d=5.4[/tex]
Therefore, the distance between the two points when rounded to the nearest tenth is 5.4 units.
I hope this helps!
Two parallel sides of a trapezium are 120 cm and 154cm and the other sides are 50 cm and 52 cm. Find the area of trapezium.
6576 cm2
See the image encrypted above.
The area of a rectangle is expressed as (15x + 20) square feet. If the width of the rectangle is 5 feet, what is an expression to represent the length of the rectangle.
(No picture)
Answer: Length = (15x + 20) / 5
Step-by-step explanation:
The area of a rectangle is calculated as length × width. Since the area of the rectangle is expressed as (15x + 20) square feet while the width of the rectangle is 5 feet, then the expression to represent the length of the rectangle will be:
Area = length × width
(15x + 20) = length × 5
Length = (15x + 20) / 5
Therefore, the expression is Length = (15x + 20) / 5.
Solving further, the length will be:
= (15x + 20) / 5
= 3x + 4
a man spends ⅕ of his salary on shoes and ⅔ on school fees. what is the fraction of his salary left. pls help asap
Answer:
2/15
Step-by-step explanation:
1/5 + 2/3
= 3/15 + 10/15
= 13/15
15/15 - 13/15
= 2/15
On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). Triangle ABC is translated 6 units to the right and 1 units up. What are the coordinates of C'? C'(4, –2) C'(4, –0) C'(4, 2) C'(1, 2)
Answer:
The answer is A
Step-by-step explanation:
C’(4, –2)
The coordinates of C' are (1, 0)
What is translation?A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.
Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).
When Triangle ABC is translated 6 units to the right and 1 units up.
We know that rule for translating b unit up and a unit right is
(x, y) → (x+a, y+b)
Hence, the coordinates for C' =
(-5, -1) = (-5+6, -1+1) = (1, 0)
Hence, the coordinates of C' are (1, 0)
For more references on translation, click;
https://brainly.com/question/12463306
#SPJ6