solve: log3(x)+log3(x-2)=log3(x+10)
log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )
log3 ( x )( x - 2 ) = log3( x + 10 )
log3 ( x^2 - 2x ) = log3( x + 10 )
x^2 - 2x = x + 10
x^2 - 3x - 10 = 0
( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2
Find the measure of angle b.
Answer:
47°
Step-by-step explanation:
vertical angles are congruent
Maria had 10.5 pounds of flour. She used all of the flour to fill bags that hold 0.75 pound each.
How many bags was she able to fill? (:
Find the values of x and y.
Answer:
x=21°. :Angles subtended by the same arc
y=42°. :180-(117+21),angles subtended by the same arc
simplify the expression
Answer:
[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{x - 6}{4*x}[/tex]
Step-by-step explanation:
We have the expression:
[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x}[/tex]
The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x
We will get:
[tex](\frac{2}{2} )\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x}[/tex]
Now we can directly add the terms to get:
[tex]\frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x} = \frac{x - 6}{4*x}[/tex]
We can't simplify this anymore
OH LORD THIS IS A NIGHTMARE FOR ME
Answer:
∠1 = 150°
Step-by-step explanation:
supplementary angle to angle 1 = 180° - 100° - 50° = 30°
∠1 = 180° - 30° = 150°
Select all shapes that have a volume of 36pi cubic units. (see attached picture)
Answer:
a B and c because there the shape of the big triangles
Which equation below can be used to determine the missing angle in the triangle?
Select one:
x+75+60=180
75x+60x=180
75+60=x
x+75+60=90
Answer:You can use this fact to solve for the missing angle of a triangle. ... Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. Below is a picture of triangle ABC, where angle A = 60 degrees, angle B = 50 degrees and angle C = 70 degrees. ... Let x = the degree measure of each angle.
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME!!!!!
9514 1404 393
Answer:
$7.00 per week
Step-by-step explanation:
The balance at the end of week 1 is $39-32 = $7.00 higher than at the start. The rate of change is $7.00 per week.
Answer:
$ 7.00 per weekStep-by-step explanation:
#CarryOnLearningGiving Brainliest if answer is correct
if x varies directly as y and x=3 when y=15 find the value of x when y=25
Answer:
Step-by-step explanation:
x=5
Answer:
x is 5.
Step-by-step explanation:
X varies directly with y, so we can use the equation x = yk (with k standing for the constant of variation) to find what the constant is. Substitute 3 for x and 15 for y
3 = 15k
Now divide both sides by 15.
3/15 = k
3/15 simplifies to 1/5.
1/5 = k
Now that we know the constant, then what we need to do is find 1/5 of 25 to get x.
1/5(25) = x
Multiply 1/5 by 25 to get 5.
5 = x
The problem is solved.
X will be 5 in this scenario.
\dfrac k{2}+\dfrac12=3
2
k
+
2
1
=3
Answer:
it 5
Step-by-step explanation:
i got i correct
help me please! i need help!
9514 1404 393
Answer:
7u -63
Step-by-step explanation:
The distributive property says you can eliminate parentheses by applying the outside factor to each term inside parentheses.
(u -9)7 = (u)(7) +(-9)(7) = 7u -63
Answer:
(u -9)7 = (u)(7) +(-9)(7) = 7u -63
brainliest HELP one simple question
i need to know what x and y equals, i need both answers pls
Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
xy = 6
(a) Find dy/dt, given x = 4 and dx/dt = 11.
dy/dt =
(b) Find dx/dt, given x = 1 and dy/dt = –9.
dx/dt =
Answer:
A)
[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]
B)
[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]
Step-by-step explanation:
x and y are differentiable functions of t, and we are given the equation:
[tex]xy=6[/tex]
First, let's differentiate both sides of the equation with respect to t. So:
[tex]\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6][/tex]
By the Product Rule and rewriting:
[tex]\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0[/tex]
Therefore:
[tex]\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0[/tex]
A)
We want to find dy/dt when x = 4 and dx/dt = 11.
Using our original equation, find y when x = 4:
[tex]\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}[/tex]
Therefore:
[tex]\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0[/tex]
Solve for dy/dt:
[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]
B)
We want to find dx/dt when x = 1 and dy/dt = -9.
Again, using our original equation, find y when x = 1:
[tex](1)y=6\Rightarrow y=6[/tex]
Therefore:
[tex]\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0[/tex]
Solve for dx/dt:
[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]
Andre wrote the expression −3+6x÷5 to represent the relationship shown in the table. Find two other expressions that also represent the relationship shown in the table. Select all that apply.
A.
5÷(−3)+6x
B.
6x−3
5
C.
6x÷5+(−3)
D.
(−3+6)+x÷5
E.
6
5x−3
F.
3+(−6x÷5)
Answer:
C is the correct answer
Step-by-step explanation:
Find x.
Do not round your answer.
12 cm
6 cm
No links
Answer:
679.6
Step-by-step explanation:
R
SECTION II (50 MARKS)
Answer ANY FIVE questions in this section.
17) In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120
a) Calculate the length of AB, correct to one decimal place (4marks)
Answer:
17.4cm
Step-by-step explanation
17) In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120
To get the length of AB, we will use the cosine rule
AB² = BC² + AC² - 2(BC)(AC) cos <ABC
AB² = 8² + 12² - 2(8)(12) cos 120
AB² = 64 + 144 - 192cos12
AB² = 208 - (-96)
AB² = 208 +96
AB² = 208 - (-96)
AB² = 304
AB² = 17.4cm
Hence the length of AB is 17.4cm
A company that cleans carpets charges its customers a fixed amount for supplies plus an
additional amount per hour of cleaning. The graph models the linear relationship between the
total amount charged and the number of hours of cleaning.
Hello (^v^) can someone help me with this question?
Answer:sorry
Step-by-step explanation: i need points
BIG JIM/LITTLE JIM PROBLEM When Big Jim stands on a bench that is 15 inches high, the top of his head is 53 inches above the top of Little Jim’s head. Big Jim’s height is twice that of Little Jim’s height. How tall is Big Jim? How tall is Little Jim?
Answer:
Let J = height of Little Jim. Then Big Jim's height is 2J.
when big jim stands on a bench that is 15 inches high, the top of his head is 53 inches above the top of little jims head.
The above given sentence means 15+ 2J= J+53.
15+2J = J+53
2J-J = 53-15
J = 38 inchessimplify 2(-3x -6) I want to simplify it but I'm not sure how
Answer:
-6x-12
Step-by-step explanation:
2(-3x-6)
Multiply: 2(-3x)+2(-6)
so answer is -6x-12
What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?
Answer:
Suppose that we have two similar figures.
Then if a given side of one of the figures has a measure M, the correspondent side in the other figure has a measure M' = k*M
Where k is the scale factor.
Then if the perimeter of the first figure is P, the perimeter of the other figure will be P' = k*P
And if the area of the first figure is A, then the area of the other figure will be:
A' = k^2*A
Then the quotient between the perimeters is:
P'/P = k
And the ratio between the areas is
A'/A = k^2
So what we need to do, is find the value k.
In the image, we can see that the base of the larger figure is 30 yd, and the base of the smaller figure is 12 yd.
If we define the smaller figure as the original one, then we will have:
M = 12 yd
M' = 30 yd
M' = 30yd = k*12yd = k*M
Solving for k we get:
k = 30yd/12yd = 2.5
Then the ratio between the perimeters is:
P'/P = k = 2.5
And the ratio of the area of the larger figure (A') to the smaller figure (A) is:
A'/A = k^2 = (2.5)^2 = 6.25
simplify the ratio 25:15:10
Answer:
60%
Convert fraction (ratio) 15 / 25 Answer: 60%
Beads are sold in a cylindrical container
with a diameter of 13 cm and a height
of 4 cm. How many cubic centimeters
of beads does this container hold?
20cm
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dbk202$;%%
Answer plsss........
1. x+12
2. x-8
3. 3*x
4. x^(2)+5
5. (x/2)+7
6. 4*(x+6)
7. (1/2)*x
8. 2x+8
9. x^(2)+3
10. (x/3)+12
Additional activity
1. 2-50
2.20/4=5
3.100-50=50
4.three times two then add to four equals ten
5. the diffrence of eight and four
get this right N I’ll give you brain list!
Answer:
[tex]y=\frac{1}{4} +x[/tex]
Step-by-step explanation:
use desmos graphing calculator
Will mark brainliest. Step-by-step please. Thank you very much.
Answer:
133°
Step-by-step explanation:
angles on a straight line = 180°
180 - 144 = 36°
angles in a triangle = 180°
36 + 31 = 67
180 - 67 = 113
answer = 113°
Help me please :( I will give u 10 points :)
Answer:
See below & graph.
Step-by-step explanation:
Domain: All real numbers.
Range: y <= 7
Axis of symmetry: x = -b/2a = 1
Vertex: (1, 7), label it on the graph.
The actual length of side y is 22cm. Use the scale drawing to find the length of side x.
Given:
The actual length of side y is 22cm.
To find:
The length of side x by using the scale drawing.
Solution:
We know that the corresponding sides of original figure and scale drawing are proportional.
[tex]\dfrac{x}{1.8}=\dfrac{y}{1.4}[/tex]
[tex]\dfrac{x}{1.8}=\dfrac{22}{1.4}[/tex]
[tex]x=\dfrac{22}{1.4}\times 1.8[/tex]
[tex]x\approx 28.286[/tex]
Therefore, the length of side x is about 28.286 cm.
victor is keeping track of winter temperatures for a project. yesterday the thermometer read 12°F, and today the temperature has dropped 7°F. he wants to determine the temperature today. which operation should he use to solve this problem?
A) addition
B) subtraction
C) multiplication
D) division
Answer: subtraction
Step-by-step explanation:
i did the assignment.