Answer:
the y-intercept is 5 the slope is 3
Step-by-step explanation:
Kayla has a older sister and a younger sister. her older sister is one year more than twice Kayla's age. Kayla's younger sister is three years younger than she is. the sum of their ages is 26. find Kayla's age
Answer:
x= kaylas age
older sister: 2x+1
younger sister: x-3
x+2x+1+x-3=26
4x-2=26
4x=28
x=7 years old
Step-by-step explanation:
If the production rate is 1,325 cookies per hour at a bakery, how many cookies will be produced in an 8 hour shift?
Answer:
10,600 cookies will be made in 8 hours
Step-by-step explanation:
1325 × 8 = 10,600
The two sides of a triangular park enclosing the right angle
are 200m and 150m. What would be the area of the park?
Step-by-step explanation:
could you please mark me as the brainliest answer
Step-by-step explanation:
The sides enclosing the right angle are the perpendicular and the base of the right angled triangle.
Then the area of the triangle will be
2
1
×150×200=15,000 m
2
.
The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.
A. 5.8 m
B. 5.7 m
C. 5.2 m
D. 5.3 m
Answer: D. 5.3 m
Step-by-step explanation:
The ladder leaning against the wall causes it to forma right angle.
The right angle has two sides , which is the two legs, and the hypotenuse.
Using the formula a^2 + b^2 = c^2 , a and b are the two legs and c is the hypotenuse. In this case, a will be the wall, b will be 1.5 m and the ladder which is 5.5 m will be the hypotenuse.
Input the values for a and c to sole for b using the formula.
1.5^2 + b^2 = 5.5^2
2.25 + b^2 = 30.25
-2.25 -2.25
b^2 = 28
b = [tex]\sqrt{28}[/tex]
b = 5.2915 rounded to one decimal place is the same as rounding it to the nearest tenth, and 5.29 rounded to the nearest tenth is 5.3.
Height of top of ladder above the ground that is resting on the wall, correct to one decimal place is 5.3 m
hence option D is correct.
According to Pythagoras theorem
In a right triangle
[tex]\rm H^2 = P^2 + B^2[/tex]
[tex]\rm P = \sqrt {H^2 - B^2 }.........(1)\\where \\H = Hypotenuse \; of \; right\; triangle\\B = Base\; of \; the \; right\; triangle \\P = Perpendicular \; of \; the\; right\; triangle[/tex]
In the given situation the the ladder forms the right triangle with the wall
Length of the ladder = 5.5 m
Length of the base of ladder from the wall = 1.5 m
Let K be the height of top of ladder above the ground that is resting on the wall.
Hence from equation (1) we can write
[tex]\rm K = \sqrt{5.5^2 - 1.5^2} = \sqrt{28} = 5.291 \approx \bold{5.3}[/tex] m
Height of top of ladder above the ground that is resting on the wall, correct to one decimal place is 5.3 m
hence option D is correct.
For more information please refer to the link given below
https://brainly.com/question/16426393
What is the amount of discount?
Answer:
$3.75
Step-by-step explanation:
give brainliest please
Evaluate each function at the given value
f(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13 at n = - 2
Answer:
7Step-by-step explanation:
Givenf(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13To find f(-2)SolutionSubstituting n with -2
f(-2) = (-2)^4 + 5(-2)^3 + 2(-2)^2 - 5(-2) + 13 =16 - 40 + 8 + 10 + 13 = 7(05.01)
The graph of a system of equations with the same slope and the same y-intercepts will
have no solutions. (1 point)
O Always
Sometimes
O Never
Help ASAP
Answer:
Always
Step-by-step explanation:
Answer:
never.
Step-by-step explanation:
Write the word sentence as an equation. Then solve. The sum of a number y and −3 is −8.
need asap
Answer:
y + (-3) = -8
Step-by-step explanation:
i just know
pls mark branliest
What is sin45°*sin30°*cos60°
Answer:
[tex]\frac{\sqrt{2} }{8}[/tex]
Step-by-step explanation:
Using the exact values of the given trig functions, then
sin45° × sin30° × cos60°
= [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{\sqrt{2} }{8}[/tex]
y-2=-(x-7) slope intercept form
Answer:
y= -x+9
Step-by-step explanation:
PLEASE MARK BRAINLIESTА A
B
D
If m_ABD = 64°, and mZCBD = 30°,
then m ABC = [?]°
Answer:
34 degrees
Step-by-step explanation:
If ABD = 64, and CBD is 30, we can use PWP( Part Whole Postulate)
Step 1.CBD + ABC = ABD
Step 2. Substitute
30 + ABC = 64
Step 3. Isolate ABC
34 = ABC
ABC is 34 degrees
9514 1404 393
Answer:
34°
Step-by-step explanation:
It should be fairly intuitive that the two smaller angles add to give the value of the larger one. (Even if it's not, the angle sum theorem tells you this is true.)
∠ABC + ∠CBD = ∠ABD
∠ABC + 30° = 64°
∠ABC = 34° . . . . . . . . . subtract 30° from both sides of the equation
Heyy, I REALLY need help on this
Answer:
ABC is a right angled triangle
BCD is also a right angled triangle
ABD is a scalene triangle
9514 1404 393
Answer:
∆ABC ~ ∆BDC ~ ∆ADB
Step-by-step explanation:
The given triangle is named using the largest acute angle vertex (A) first, followed by the right angle vertex (B), then the remaining vertex (C). Using that same order, the triangles, largest-to-smallest are ...
∆ABC ~ ∆BDC ~ ∆ADB
Joseph recently noticed that this time next year he will be twice as old as Jasmine. I couldn't help noticing that when I am 66 at this time of the year the combined future ages of Joseph and Jasmine will also be 66. Also, 6 years from now my future age will be a multiple of the sum of Joseph and Jasmine's future ages. Of course, all ages are non-negative integers. How old. are Joseph Jasmine, and I now?
Alice needs twice as many yards of ribbon as Quincy. how many rolls of ribbon does Alice need? explain your answer i like your cut g
Answer: Twice the length of 322 yards is 644. If I divide by 15 I get 42 r14. Alice needs to buy 43 rolls of ribbon. I like your cut G !
Step-by-step explanation:
What is the slope of the line in the graph?
Answer:
1/2
Step-by-step explanation:
went up one across two. rise over run y over x
Answer:
1/2
Step-by-step explanation:
What is the equation of the line that passes through the point(6,4) and has a slope of -2/3
Answer:
y=-2/3x+8
Step-by-step explanation:
first, find the y intercept, or b.
write your equation so far: y = -2/3x + b
Now substitute in your given point (6,4)
so now we got: 4 = -2/3(6) + b
which gives you: 4 = -4 + b
Now, we find b.
4 = -4 + b
+4 +4 < isolating b...
8 = b
now put it back in..
y=-2/3x+b
hope this helped luv <3
Simplify this expression using the distributive property
Answer:
When you use the distributive property, you multiply the two numbers together, just like simplifying any product. You will also see another example where the expression in parentheses is subtraction, rather than addition. You will need to be careful to change the sign of your product.
Step-by-step explanation:
[tex]\huge\boxed{\bold{\mathfrak{Hello\;there!}}}}}[/tex]
The Distributive Property states that
[tex]\dashrightarrow[/tex] [tex]\bold{a(b+c)=ab+ac}[/tex]
[tex]\dashrightarrow[/tex] We multiply a by b and c, and then add the two products.
Example:
[tex]\dashrightarrow[/tex] [tex]\bold{10(x-3)}[/tex]
[tex]\dashrightarrow[/tex] [tex]\bold{10x-30}[/tex]
[tex]\bold{I\;really\;hope\;it\;helps\;you!}[/tex]
[tex]\rm{Have\;a\;great\;day![/tex]
[tex]\boxed{AmiableTeen:)}[/tex]
What is the amplitude of y = -8sin(3x)?
Answer:
for y=-8sin(3x)
Amplitude = 8
Answer:
8
Step-by-step explanation:
amplitude =8
|sin (3x)|≤1
so |-8 sin (3x)≤8
Need answer for this please.
Answer:
y= - 5x+40
Step-by-step explanation:
I graphed this out. Remember that in parallel lines, the slopes are always the same.
whats the simflied for 6x-2(3x-4)
Answer:
No solution
Step-by-step explanation:
6x - 2(3x - 4)
Distribute;
6x - 6x + 8
0 ≠ 8
solve the equation
pls help
1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?
Answer:
The answer should be y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + 8, but its not one of the answers, so check the question again.
Step-by-step explanation:
If the second line is parallel, then the gradient will be the same:
y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + c
Find what c is (y-intercept) by inputting the given point into the equation (4,2):
2 = (-[tex]\frac{3}{2}[/tex] x 4) + c
2 = -6 + c
c = 8
How many ? Help me as soon as possible
Answer:
3 meters
Step-by-step explanation:
Distance covered in 1 second
[tex] = \frac{7.5}{2.5} \\ \\ = 3 \: m[/tex]
A rectangular lawn 4m by 10m has a garden of uniform width added to one end. Then, along the combined side length of the lawn and garden , another garden is added, whose width is twice that of garden . The total area of the lawn and both gardens is 72 m2
Answer and explanation:
A rectangle's width is longer than the length
And so given a rectangular lawn 4m by 10m,
the width of the lawn= 10m
the length of the lawn= 4m
If a garden of uniform width is added, then garden's width = 10m
The garden of uniform width is added to the width side of the rectangular lawn( since along the combined side length of the lawn and garden, another garden is added)
The garden added to the combined side length of the lawn and garden has width twice that of the garden = 2*10= 20m
Given that total area of the lawn and two gardens = 72m²
Total area of lawn and 2 gardens(Area of rectangle(lawn+2 garden's)) is length * width
= 4*10+ 10*x+ 20*y=72
Therefore equation for total area of lawn and both gardens is 40+10x+20y=72
Where x is length of second garden attached to the width side of the lawn and y is length of the garden attached to the combined length side of the lawn and first garden
x can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
10x=32-20y
x=32-20y/10
Y can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
20y=32-10x
y=32-10x/20
Find the direction of AB where A(3,0) and B(4,1).
Answer:
Required Answer:-A (3,0)B (4,1)[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(4-1)^2+(1-0)^2}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(3)^2+(1)^2}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {9+1}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt {10}[/tex]
can you solve 1 2/3 x 1 1/4
Answer:
25/12 or 2 1/12
Step-by-step explanation:
calculator
PLEASE HELP AS SOON AS POSSIBLE (THANK YOU VERY MUCH IF YOU DO)
Answer:In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
Step-by-step explanation:
10x=6x-24
help!!!! me pleasee!!
Answer:
x = -6
Step-by-step explanation:
10x = 6x - 24
Subtract 6x from both sides.
4x = -24
Divide both sides by 4.
x = -6
Need Answer ASAP ONLY 5 min.
Answer:
b is your answer hope it helps
Find the greatest common factor (GCF) for each number set. 56,63
1. 1
2. 6
3. 7