9514 1404 393
Answer:
see attached
Step-by-step explanation:
Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.
For x=0, ...
y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept
For x=1, ...
y = -4·1 -1 = -5 . . . . the point is (1, -5)
The attached graph shows these points and the line through them.
Question is in picture below
[tex]find \: lengh \: bc \: because \: find \: the \: base \: area \: \\ bc = ad \\ from \: ac = 15mm \\ ab = 12mm \\ from Pythagoras \: {c}^{2} = {a}^{2} + {b}^{2} \\ is \: {(ac)}^{2} = {(bc)}^{2} + {(ab)}^{2} \\ 15 ^{2} = {(bc)}^{2} + {12}^{2} \\ {(bc)}^{2} = 15^{2} - {12}^{2} \\ bc = \sqrt{{15}^{2} - {12}^{2} } \\ bc = \sqrt{225 - 144} \\ bc = \sqrt{81} \\ bc = 9 \: or \: - 9 \\ bc = 9 \\ base \: area \: = bc \: \times \: ab \\ = 9 \times 12 = 108 {mm}^{2} \\ volume \: pyramid \: = \: \frac{1}{3} \times base \: area \times hight \\ = \frac{1}{3} \times 108 {mm}^{2} \times 13mm \\ = 468 {mm}^{3} [/tex]
Solve for p. 3(p+4) = 36
Answer:
3p + 12 = 36
3p = 36 - 12
3p = 24
p=8
Answer:
p = 8
Step-by-step explanation:
3( p + 4) = 36
3p + 12 = 36
- 12 - 12
3p = 24
_______
3
p = 8
Hope this helps!
pls help! correct answer will get brainliest :)
Answer:
x = 31°
Step-by-step explanation:
triangle = 180°
-there is a right angle
180-90 = 90
90-59= 31
31+90+59 = 180
Answer:
[tex]x=31^{\circ},\\y=5[/tex]
Step-by-step explanation:
Since DB bisects [tex]\angle ABC[/tex], [tex]DC=DA[/tex]. Therefore, [tex]\fbox{$y=5$}[/tex].
From the isosceles base theorem, the measure of the angles adjacent to the congruent sides of an isosceles triangle are equal. Therefore, we can write the following equation:
[tex]2x+59+59=180,\\2x+118=180,\\2x=62,\\x=\fbox{$31^{\circ}$}[/tex].
Determine an equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the
point (-2, 6)
Step-by-step explanation:
find 3x + 12y = 1 in terms of y
so y = -3/12 z + 1/3
y = -1/4 x + 1/3
gradient of the line(m) = -1/4
gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4
(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)
for this line x1=-2 and y1=6 and m=4
so using the equation
(y-y1) = m(x-x1)
y-6 = 4(x-(-2)
y-6 = 4(x+2)
y-6 = 4x + 8
y = 4x + 14
y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.
What is the slope-intercept form of a line?When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.
Given an equation of line 3x + 12y = 1
so y = -3/12 z + 1/3
y = -1/4 x + 1/3
gradient of the line(m) = -1/4
gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4
(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)
for this line x₁=-2 and y₁=6 and m=4
so using the equation
(y-y₁) = m(x-x₁)
y-6 = 4(x-(-2)
y-6 = 4(x+2)
y-6 = 4x + 8
y = 4x + 14
Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14
Learn more about slope intercept form here:
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solve the proportion
4/5 = x/15
Answer:
x = 12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
hmmm it got deleted
x=12
Step-by-step explanation:
because 4/5 times 15 is 12
also, 5x=60
x=12
Please help!!! I need help solving just this one question and then I’ll be finished with this homework!!!
Hrozmarly needs to evaluate the following expression y^2-x^2 when y=9 and x=2. Her answer should be?
i am in 6 grade
Answer:
Step-by-step explanation:
y^2 -x^2=
y^2=9^2=81
x^2=2^2=4
81-4=77
what's the length of line AB if point A is at (6,3 and point B is at (8,-8)
Answer:
Step-by-step explanation:
Solution,
Here,
A=(6,3) (x1,x2)
B=(8,-8) (y1,y2)
AB=?
Now,
(AB)^2=(x2-x1)^2+(y2-y1)^2
Now putting the value of x1,x2,y1,y2
=(3-6)^2+(-8+8)^2
= (-2)^2+(0)^2
= (-4,0)
AB=(-4,0)
Hope it helped you.
Plz mark me brainliest.
Which is the net for this rectangular prism?
Answer:
probably c
Step-by-step explanation:
I need help with this question
Answer:
Equal
Step-by-step explanation:
After dilation, the shape of the original figure is maintaine. Only the size changes.
Consequently, the side lengths of both figures would be proportional to each other. This implies that the ratios of the corresponding side lengths of the original figure and the new figure would be equal.
Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena
starts with $10 in her savings account and adds $20 each week.
1. After four weeks, who has more money in their savings account? Explain how you know.
2. After how many weeks will Andre and Elena have the same amount of money in their savings accounts?
Answer:
Andre and 6 weeks
Step-by-step explanation:
because,20x4+10=90 and 5x4+100=
The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire? Please leave a detailed explanation of how you got your answer!! Thank You!
Answer:
22.91 inches
Step-by-step explanation:
circumference = 2πr
2πr = 72 inches
2 x [tex]\frac{22}{7}[/tex] x r = 72
[tex]\frac{44}{7}[/tex] x r = 72
Solving for r , divide both sides of the equation by 7/44
r = 11.454545 inches
diameter= 2 x radius
2 x 11.454545 inches = 22.91 inches
What would you call the shape of this formula (C3H8)
An overall shape of a modified tetrahedral with three tetrahedrals embedded within. The three carbons are all central atoms.
How is the general shape of a cube root function different from the shape of a square root function?
Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.
See :
The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.
What is the cube root function?A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.
A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.
In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.
Learn more about the function here:
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In a box of 80 glasses, 3 are broken.
Work out the percentage of broken glasses in the box.
(with the working pls )
Answer:
2.4 percent of the glass is broken because if three out of 80 glasses broke that would be how many
Consider the triangle.
Which shows the order of the angles from smallest to largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B
Answer:
angle B, angle A, angle C
Step-by-step explanation:
Please help!
The sum of two numbers is 52. Their difference is 4. Find both numbers.
Form: Ax+By=C
Answer:
THE ANSWER IS 44!
Step-by-step explanation:
5x+y=7
20x+2=y
What does x=?
What doesy=?
Answer: y = 6 x = 0.2
Step-by-step explanation:
5x+y=7
20x+2=y
re-write one
5x + y = 7 OR y = 7 - 5x
substitution
20x + 2 = 7 - 5x
20x + 5x = 7 - 2
25 x = 5
x = 5/25
x = 0.2
now for finding y
y = 7 - 5x
y = 7 - 5(0.2)
y = 7 - 1
y = 6
Select the correct answer
Answer:
B. iStep-by-step explanation:
n/4 has a remainder of 3, then it has a format of:
n = 4k + 3Substitute n:
i^n = i^(4k)*i^3 = i^(4k)*i^2*i = (-1)(-1)*i = iCorrect option is B. i
Solve for x in the two equations below using substitution
12x-6y=60
24x+6y=300
Answer:
x = 10
Step-by-step explanation:
Given the 2 equations
12x - 6y = 60
24x + 6y = 300
Adding the 2 equations term by term will eliminate the y- term, that is
36x + 0 = 360
36x = 360 ( divide both sides by 36 )
x = 10
Nolan has some nickels and some dimes. He has no more than 19 coins worth no less than $1.30 combined. If Nolan has 5 nickels, determine all possible values for the number of dimes that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer:
number of dimes 11 to 14
Step-by-step explanation:
given data
coin = 19
worth no less = $1.30
Nolan nickles = 5
solution
we convert 5 cent to dollars, it will be
5÷100 = $0.05
and
dime is worth 10 cents
so it will be 10 ÷ 100 = $0.1
so we consider here x as the number when nickels.
and we consider y as the number of dimes.
so here we can say
x + y ≤ 19 ..........................1
as here no less than $1.30 combined.
so
0.05 x + 0.1 y ≥ 1.3 ......................2
and
when Nolan has 5 nickels
put x = 5 in eq 1
5 + y ≤ 19
y ≤ 19 - 5
y ≤ 14
and
now we put x = 5 in eq 2
0.05 × 5 + 0.1y ≥ 1.3
0.25 + 0.1y ≥ 1.3
0.1y ≥ 1.3 - 0.25
0.1y ≥ 1.05
y ≥ 10.5
so all possible values for the number of dimes 11 to 14
Heba's account balance is $29.17. Nour's account balance is $11.99
Which account matches each description?
Answer:
Heba has a greater balance and Nour has more debt
Help !!!
See question in image.
Please show workings .
Answer:
[tex]f(x) = 3 {x}^{2} \\ lim \: \frac{f(x + h) - f(x)}{h} \: \: when \: h - > 0 \\ lim \: \frac{3( x + h)^{2} - 3 {x}^{2} }{h} when \: h - > 0 \\ lim \: \frac{3( {x}^{2} + 2xh + {h}^{2}) - 3 {x}^{2} }{h} when \: h - > 0 \\ \\ lim \: \frac{3 {x}^{2} + 6xh + 3h^{2} - 3 {x}^{2} }{h} when \: h - > 0 \\ lim \: \frac{6xh + 3 {h}^{2} }{h} \: when \: h - > 0 \\lim \frac{6xh}{h} + \frac{3h^{2} }{h}when \: h - > 0 \\ lim \: 6x + 3h \: when \: h - > 0 \\ = 6x + 3(0) \\ = 6x + 0 \\ = 6x \\ \\ or \\ \frac{d(3x^{2}) }{dx} = 2 \times 3x^{2 - 1} \\ = 2 \times 3x^{1} \\ = 2 \times 3x \\ = 6x[/tex]
Help me please........
Answer:
(7, -1)
Step-by-step explanation:
Look at vertex R. The x is 7. Q has the same x value as R and same Y value as P.
factor 2x^3+7x^2-3x-18 completely, given that x+2 is a factor
the other factors are: (x+3) and (2x−3)
Step-by-step explanation:
Evaluate the expression for the given value of the variable.
29 + 5/6r
r = -1/2
find r
Hey there!
The solution to your question is
We simply plug the "r" value into the equation and solve:
29 + (5/6)(-1/2)
29 + -5/12
28 7/12
Hope it helps! Have an amazing day, and remember, You've got this!
plzzzzzzzzzzzzzzzzzzzzzzzzzzz help me this so easy i just dumd
Write an equation for this relationship. if x represents the days and y represents the total cost.
Answer:
18.5
Step-by-step explanation:
Just add 18.5 and 55.50 and repeat with the other numbers
Answer:
x is 18.5
Step-by-step explanation:
3/55.50=18.5
same as all the others
What's the value of the expression 10/12 + (- 8/9)
Answer: -1/18 im pretty sure
Step-by-step explanation: Find the exact value using trigonometric identities.
I need some help with this question don't get it help please.
Answer:
Scale factor is 3.
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
The scaled factor is basically the multiplier of which the shape has been transformed. As you can see on the shape from figure A to figure B, the numbers have been divided by 3. 9/3=3, 3.6/3=1.2
Hope this helps you!
(88÷1×2×5−9)+3×8 what does this make
Answer: 6992
Step-by-step explanation: (88 / 1 = 88) (88 * 2 = 176) (176 * 5 = 880) (880 - 9 = 871) (871 + 3 = 874) (874 * 8 = 6992)