Answer:
AC = [tex]\sqrt{58}[/tex]
Step-by-step explanation:
Calculate AC using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (0, - 2) and (x₂, y₂ ) = C (3, 5 )
AC = [tex]\sqrt{(3-0)^2+(5-(-2)})^2[/tex]
= [tex]\sqrt{3^2+(5+2)^2}[/tex]
= [tex]\sqrt{9+7^2}[/tex]
= [tex]\sqrt{9+49}[/tex]
= [tex]\sqrt{58}[/tex]
Simplify the expression
Answer:
Step-by-step explanation:
It might be wrong but i beieve that it is 4 to the 5th multiplied 4 to the 2nd
Answer:
[tex] {8}^{10} \times {8}^{4} \\ = {8}^{14} \\ thank \: you[/tex]
Find the slope of the line passing through the points (-6, 6) and (4, -7).
Answer:
-13/10
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-7-6/4-(-6)
-13/10
Best of Luck!
Find the value of xFind the value of xFind the value of x
Answer:
x = 11
Step-by-step explanation:
[tex] \frac{x + 2}{6} - \bigg( \frac{11 -x }{3} - \frac{1}{4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2(x + 2)}{2 \times 6} - \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{4 4 - 4x- 3}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{41 - 4x}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}} = \frac{3x - 4}{ \cancel{12}} \\ \\ 6x - 37 = 3x - 4 \\ \\ 6x - 3x = 37 - 4 \\ \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ \huge \red{ \boxed{ x = 11}}[/tex]
m - 4 = 2m
Check your solution if possible
Answer:
m - 4m = 2m
-4 = 2m -m
- 2 = m
Answer:
m = -4
Step-by-step explanation:
Add 4 to both sides of the equation
Simplify
Add the numbers
= 2 + 4
Subtract 2 from both sides of the equation
=2+4
−2=2+4−2
Simplify
Divide both sides of the equation by the same term
Simplify
This one is very hard for me
15x + 57 ≥ 129
15x ≥ 129 - 57
15x ≥ 72
x ≥ 24/5
x ≥ 4.8
Answer:
[tex]x \geqslant 4.8[/tex]
Step-by-step explanation:
[tex]15x \: \: \: \: + \: 57 \geqslant 129 \\ or \: 15x \geqslant 129 - 57 \\ or \: x \geqslant 72 \div 15 \\ or \: x \geqslant 4.8 \\ [/tex]
work out b(4½-3⅔)+1⅔
Answer:
2 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Change the mixed numbers to improper fractions
([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6
= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]
= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]
= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]
= [tex]\frac{15}{6}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2 [tex]\frac{1}{2}[/tex]
I can’t write this. it’s on the image. Please help.
Answer:
608 minutes.
Step-by-step explanation:
When you add 8.24 and 11.03 you get 19.27 this number then needs to be multiplied by 32 which leaves us with 616.64. The question asks on average how many minutes James traveled, so I would round to the nearest number which would be 608.
I hope this helped lol
Please help! Will mark brainliest! ^^
Answer:
1/8 = 0.125
14/20 = 0.7
2/3 = 0.67
4/5 = 0.8
Step-by-step explanation:
2.
You drop a ball from a height of 1.5 meters. Each curved path has 74% of the height of the previous path. a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1. b. What height will the ball be at the top of the sixth path?
A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
B. A(n) = 1.5 • (0.74)^n–1 ; 0.33 cm
C. A(n) = 150 • (74)^n–1 ; 332,850,993,600 cm
D. A(n) = 0.74 • (1.5)^n–1 ; 5.62 cm
Answer:
A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
Step-by-step explanation:
This is a geometric sequence.
a%5B1%5D=1.5m=150cm, r=0.74
The formula is
a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29
Just substitute a1 = 150cm and r = 0.74
a%5Bn%5D=150%280.74%29%5E%28n-1%29
That's the rule.
For the second part, substitute n = 6
cm.
1 7/8 cups of ketchup times 3.
Answer:
5 5/8 cups of ketchup
Step-by-step explanation:
1 7/8 x 3
15/8 x 3/1 = 45/8
45/8 = 5 5/8
I need help ASAP plzzzz
What is the total length of 3 pieces that are 1/4 foot long?
Answer:
3/4
Step-by-step explanation:
1/4 + 1/4 + 1/4 =3/4
or
1/4 x 3 = 3/4
Answer:
3/4 feet
Step-by-step explanation:
the common denominator (4) always stays the same.
you add the 3 pieces.
unit rate 18 people in 3 vans
Answer:
6:1
Step-by-step explanation:
6 people per van
Answer:
6:1
Step-by-step explanation:
What is Pt=3x+4 and tq=5x-6
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
Answer:
Peter = 6 kg
Mary = 12 kg
Lucy = 8 kg
Step-by-step explanation:
let us take number of kg's peter took as x
then lets form an expression to find x
let us take mary's chestnuts as = 2x (twice as much as peter)
let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)
so
x + 2x + 2+ x = 26
4x + 2 = 26
4x = 26 - 2
4x = 24
x = 24/4
x = 6
now let us see how much each of them picked while replacing 6 by x
Peter = x
= 6 kg
Mary = 2x
= 2(6)
= 12 kg
Lucy = 2+x
= 2 + 6
= 8 kg
now let us cross check to see the answer
6 + 12 + 8
18 + 8
= 26
CROSS-CHECKED
pls some help im so stuck im stuck as a cat in a tree dude plz help i
ill give u 100 pointes
Answer:
It's the positive i, no matter what i is equal to.
I need to know what is the fraction, 2/5 as a decimal?
Answer:
0.4
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
Write the slope-intercept form of the equation of the
line through the given point with the given slope.
10. through: (5, -3), slope -4/5.
Answer:
y = -4/5x + 1Step-by-step explanation:
The slope-intercept form:
y = mx + b, where m- slope, b- y-interceptUse point (5, -3) and m = -4/5:
-3 = -4/5*5 + b-3 = -4 + bb = -3 + 4b = 1The line is:
y = -4/5x + 1Answer:
b = 1
Step-by-step explanation:
We know that
y = mx + b
-3 = -4/5 × 5 + b
-3 = -20/5 + b
-3 = -4 + b
-3 + 4 = b
1 = b
Evaluate each expression if a = -1 and b = 6: a + b ab
Answer:
[tex]a + b = - 1 + 6 = 5 \\ a \times b = 6 \times ( - 1) = - 6[/tex]
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Evaluate each expression if a = -1 and b = 6:
a + b ab[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
(1) a + b = ?
Given, a = - 1 & b = 6. So, a + b = ?[tex] \sf \: a + b = ? \\ \\ \sf \: Substitute \: the \: values \: of \: a \: and \: b \\ \\ \sf a + b \\ \sf \dashrightarrow( - 1) + (6) \\ = \large \boxed{\mathfrak{ 5}}[/tex]
__________________
(2) ab = ?
Given, a = - 1 & b = 6So, ab = ?[tex] \sf \: ab \: = ? \\ \\ \sf \: Substitute \: the \: values \: of \: a \: and \: b \\ \\ \sf \: ab \\ \dashrightarrow \sf( - 1)(6) \\ \dashrightarrow \sf- 1 \times 6 \\ = \boxed{\mathfrak{ \bold- 6}}[/tex]
Which Expression is equal to 632?
A. 2⁴(3 x 5³ + 2²)
B. 2³(3 x 5² + 2²)
C. 2³ (3 x 5² + 2⁵)
D. 2⁴(3 x 5⁵ + 2¹⁶)
Plz help meee!
Answer:
B. 2³(3 x 5² + 2²)
Step-by-step explanation:
2³(3 x 5² + 2²)
Step 1. Simplify the exponents
8(3 x 25 + 4)
Step 2. Multiply 3 and 25
8(75 + 4)
Step 3. Add 75 and 4
8(79)
Step 4. Multiply
632
Answer:
Option B. 2³(3 x 5² + 2²) is correct
Step-by-step explanation:
2³(3 x 5² + 2²)
First of all multiply the exponents
8×(3×25+4)
Then do the multiplication of 3 and 25
8×(75+4)
Now add the following numbers in the bracket
8×(79)
And the last multiply the following numbers
8×79
632
[Hence, the expression 2³(3 x 5² + 2²) is equal to 632. ]
Amber baked 243 cookies. She wants to share the cookies evenly among 13 friends in her class. How many cookies will each friend receive?
Answer:
18
Step-by-step explanation:
243÷13=18remainder9
mark me brainliest
Answer:
18
Step-by-step explanation:
243/13
-12/3*(-8+(-4)²-6)+2
122 right?
Answer:
-6
Step-by-step explanation:
[tex] - \frac{12}{3} \times ( - 8 + ( - 4 {)}^{2} - 6) + 2[/tex]
[tex] (-4)² = 4²= 4×4 =16 [/tex]
[tex] - \frac{12}{3} \times ( - 8 +16 - 6) + 2[/tex]
[tex] -8 + 16-6= -14 + 16 = 2[/tex]
[tex] - 4( - 8 + 16 - 6) + 2[/tex]
[tex] - 4 \times 2 + 2[/tex]
[tex] - 8 + 2[/tex]
[tex] = - 6[/tex]
Solve 4x−9y=13 for y
Please help
Answer: i dont know
Step-by-step explanation: 4
someone help with this, asap ty.
Answer:
Still C br-uh
Step-by-step explanation:
A car is traveling at 35 mi/hour. What is the car's speed in feet per second?
Answer:51.33ft/s
Step-by-step explanation:Just look at how many seconds are in a hour and divide by that
lập bảng biến thiên và tìm tập giá trị của y=2x-4
Shanbi,s household consumes 45units of water one month.how many litres of water do they consumes
how do I slove this equation
16x+2:4=2x
(7th grade)
Answer:
[tex]x = - \frac{1}{28} [/tex]
Step-by-step explanation:
is your answer
Hi how can I graph this if it dosn't have a slope?
1. y = (2/3)x - 1
y = -x + 4
System of Linear Equations entered :
[1] y - 2x/3 = -1
[2] y + x = 4
// To remove fractions, multiply equations by their respective LCD
Multiply equation [1] by 3
// Equations now take the shape:
[1] 3y - 2x = -3
[2] y + x = 4
Graphic Representation of the Equations :
-2x + 3y = -3 x + y = 4
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -y + 4
// Plug this in for variable x in equation [1]
[1] 3y - 2•(-y +4) = -3
[1] 5y = 5
// Solve equation [1] for the variable y
[1] 5y = 5
[1] y = 1
// By now we know this much :
y = 1
x = -y+4
// Use the y value to solve for x
x = -(1)+4 = 3
I hope this help you
Convert 120 Ibs to kilograms
Answer:
54.431 kilograms
Step-by-step explanation:
don't have step by step but 1kg is 2.205lbs