Answer:
x = [tex](-\frac{13}{2} ,0)[/tex] y = (0,26)
Step-by-step explanation:
First find the x intercept
To find the x intercept, substitute 0 for y and solve for x.
[tex](0)-6=4(x+5)[/tex]
Rewrite the equation as [tex]4(x+5)=(0)-6[/tex]
[tex]4(x+5)=(0)-6[/tex]
Subtract 6 from 0.
[tex]4(x+5)=-6[/tex]
Divide each term in [tex]4(x+5)=-6[/tex] by 4.
[tex]\frac{4(x+5)}{4} =\frac{-6}{4}[/tex]
Cancel the common factor of 4.
[tex]x+5=\frac{-6}{4}[/tex]
Simplify [tex]\frac{-6}{4}[/tex]
[tex]x+5=-\frac{3}{2}[/tex]
Subtract 5 from both sides of the equation.
[tex]x=-\frac{3}{2} -5[/tex]
To write [tex]-5[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex]
[tex]x=-\frac{3}{2}-5[/tex] · [tex]\frac{2}{2}[/tex]
Combine [tex]-5[/tex] and [tex]\frac{2}{2}[/tex].
[tex]x=-\frac{3}{2} +\frac{-5*2}{2}[/tex]
Combine the numerators over the common denominator.
[tex]x=\frac{-3-5*2}{2}[/tex]
Simplify the numerator.
[tex]x=\frac{-13}{2}[/tex]
Move the negative in front of the fraction.
[tex]x=-\frac{13}{2}[/tex]
x = [tex](-\frac{13}{2} ,0)[/tex]
-----------------------------------------------------------------------------------------------------
Find the y-intercepts.
To find the y-intercept(s), substitute in 0 for x and solve for y.
[tex]y-6=4((0)+5)[/tex]
Add 0 and 5.
[tex]y-6=4 *5[/tex]
Multiply 4 by 5.
[tex]y-6=20[/tex]
Add 6 to both sides of the equation.
[tex]y=20+6[/tex]
Add 20 and 6.
[tex]y=26[/tex]
y = (0, 26)
In circle F with m \angle EFG= 122m∠EFG=122 and EF=16EF=16 units, find the length of arc EG. Round to the nearest hundredth.
Given:
In circle F, [tex]m\angle EFG=122^\circ,\ EF=16[/tex] units.
To find:
The length of arc EG.
Solution:
It is given that, [tex]m\angle EFG=122^\circ,\ EF=16[/tex] units. It means the central angle of arc EG is 122 degrees and the radius of the circle F is 16 units.
Formula for arc length is:
[tex]s=2\pi r\times \dfrac{\theta}{360^\circ }[/tex]
Where, r is the radius and [tex]\theta [/tex] is the central angle in degrees.
Putting [tex]r=16,\ \theta=122^\circ,\ \pi=3.14[/tex], we get
[tex]s=2(3.14)(16)\times \dfrac{122^\circ}{360^\circ }[/tex]
[tex]s=100.48\times \dfrac{61}{180}[/tex]
[tex]s=34.0515556[/tex]
[tex]s\approx 34.05[/tex]
Therefore, the length of arc EG is 34.05 units.
30. The area of the rectangular floor in
Tamara's room is 95 square feet. The
width of the room is 8 feet.
Answer:
It has given that the area of the rectangular floor in Tamara's room is 95 ⅚ square feet. the width of the room is 8 ⅓ feet.
in given circle O find the value of AB
Answer:
AB = 32 in
Step-by-step explanation:
The value of AB is same as the value of the other chord, it's divided by two similar parts which are 16 each, so the value of AB becomes 16*2= 32 in
Answered by GAUTHMATH
The points ( − 4 , 9 ) and ( 4, −9) lie on the same line. What is its equation in slope-intercept form of this line?
Answer:
y = -9/4x
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= ( -9-9)/(4 - -4)
( -9-9)/(4+4)
-18/8
-9/4
Slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = -9/4 +b
Substitute a point into the equation
9 = -9/4(-4) +b
9 = 9+b
b=0
y = -9/4x
Which expression is equivalent to √900f^6/100g^4
Answer:
A
Step-by-step explanation:
c and d cannot be since the answer to sqrt((900f^6)/(100g^4)) is 3f³/g²
and not 30f something.
the best answer I see is correct is a.
Solve the system of equations 7x+3y=-37x+3y=−3 and 3x+y=13x+y=1 by combining the equations.
Answer:
ummmmmm
Step-by-step explanation:
I don't know
Find the coordinates of the intersection of the diagonals of DEFG with the vertices D(-2, -3), E(0, 4), F(-4, 3), and G(-6, -4)
Answer:
(-3,0)
Step-by-step explanation:
midpoint DF = (-6/2,0) or (-3,0)
midpoint EG = (-6/2,0) or (-3,0)
please help me i dont understand
Answer:
Step-by-step explanation:
take 52 degree as reference angle
using tan rule
tan 52=opposite/adjacent
1.27=x/21
1.27*21=x
26.67=x
26.9=x
Solve for X. Not drawn to scale
Answer:
[tex]x=4.02[/tex]
Step-by-step explanation:
The given triangle is a right triangle, this is indicated by the box around one of the angles, signifying that the angle is a (90) degree angle. Therefore, to solve this problem one must use trigonometric ratios. These ratios are used to describe the relationship between an angle and the sides in a right triangle.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\\[/tex]
Bear in mind, the names of the sides of the triangle are relative to the angle that one uses to describe it in the triangle. Therefore the (opposite) and (adjacent) sides will change depending on the angle one chooses to look at it from.
In this case, one is given the length of the side opposite the given angle. One is asked to find the measure of the side adjacent to the angle. Therefore, it would make the most sense to use the tangent (tan) ratio.
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Substitute,
[tex]tan(20)=\frac{9}{x}[/tex]
Manipulate the equation such that it is solved for (x),
[tex]x=\frac{9}{tan(20)}[/tex]
Solve,
[tex]x=4.02[/tex]
Barry drew a scale drawing of an office building. The scale of the drawing was 3
inches = 2 feet. A desk is 6 feet long in real life. How long is the desk in the
drawing?
Answer:
3inches=2feet and
Xinches=6feet so Cross multiply
2X=18 divided both sides by 2
X=9inches therefore
the answer is 9inches
Solve for z:−8(z+4)=−7(z+−4)+−3
Let's solve your equation step-by-step.
−8(z+4)=−7(z+−4)+−3
Step 1: Simplify both sides of the equation.
-8z-32=-7z+25
Step 2: Add 7z to both sides.
-z-32=25
Step 3: Add 32 to both sides.
-z=57
Answer:-57
Step-by-step explanation:
-8(z+4) = -7(z+-4)+-3
-8z-32= -7z+28-3
-8z-32=-7z+25
-57=z
Apply the distributive property to create an equivalent expression. 12(2a - 6b+ 8) = 2 1 (2a−6b+8)
Answer:
a+4=11b
Step-by-step explanation:
Distributive property in mathematics means to multiply the sum by a number of two or more add-ons will provide the same result that each add-on multiplies by a single number and then together add the products.
for example a( b+c) = ab+ac
Therefore, applying distributive property in asked eapression
12(2a - 6b+ 8) = 21(2a−6b+8)
24a+72b+96 = 42a-126b+168
198b=18a+72
9a +36=99b
3a+12=33b
a+4=11b
Evaluate the following expression. You should do this problem without a calculator. log4 4 A. 4 B. C. 8 D. 1 SUBMIT
Given:
The given expression is:
[tex]\log_44[/tex]
To find:
The simplified value for the given expression.
Solution:
According to the property of logarithm,
[tex]log_aa=1[/tex]
We have,
[tex]\log_44[/tex]
Here, the base of the logarithm is 4 and the value inside the log is also 4, since these two values are same therefore the value of this expression is 1 by using the above property of logarithm.
[tex]\log_44=1[/tex]
Hence, the correct option is D.
By evaluating log4 4 without a calculator, we discover that it is equal to 1.
Can someone please help me out ~ASAP~.
Suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60degrees. What is the length of the third side of the triangle?
Answer:
A) 2
Step-by-step explanation:
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
sin(A)/a=sin(B)/b=sin(C)/c
Substitute the known values into the law of sines to find a.
sin(60)/a=sin(60)/2
4. Let g(x) = 2x and h(x) = x2 + 4.
Evaluate (hg)(-2).
20
-16
16
-12
Step-by-step explanation:
everything can be found in the picture
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.
1. Starting from a full tank, can Diego's family drive the car for 14 days without the warning light coming on? Explain your reasoning.
2. Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on? Explain your reasoning.
3. Diego says the expression 14 - 0.6t helps him to understand this situation. What does this expression represent, and what does the variable t stand for?
4. Write and solve an equation to determine the number of days Diego’s father can drive the car without the warning light coming on.
5. Write and solve an inequality that represents this situation. Explain clearly what the solution to the inequality means in the context of this situation.
Answer:
1) if he wants to do that he needs 0.6 gallons x 14 days = 8,4 gallons.
If the car starts with 14 gallons then he is able to ride 14 days without the warning light.
2) now he would need 0.6 gallons x 25 days = 15 gallons.
he only has 14 gallons so that is not possible.
3) no clue sorry
4) x= the days he can drive without the warning light
14-1,5 = 0,6.x
<=>12,5= 0,6.x
<=>20,833... = x
He can go 20 days without the warning light.
5) x= the days he can drive his car without seeing the warning light.
x.0,6<12,5
<=> x<20,833...
If he drives 20,833... days he will see the warning light so everything before that he won't see it.
What is the simplified expression for 2(x-5)?
2x
-10x
2x-10
2x+5
Answer:
2x-10
Step-by-step explanation:
2(x) - 2(5) = 2x - 10
Arwen has half as many pens as Adrienne. Adrienne gives Arwen 3 pens, but still has 6 more than
Arwen. How many pens did Arwen have originally?
Ratio for 30 boys to 50 girls
Answer:
30:50 OR Can reduce it to 3:5
Step-by-step explanation:
30: 50 OR 3.5
Answer:
3 : 5
Step-by-step explanation:
30boys : 50girls= 30 : 50 = 30/50 = simplify = 3/5= 3/5 change into ratio is 3 : 53 : 5State the slope and the y-intercept for the graph of the equation. y= -2
1; -2
0; -3
-2; 0
0; -2
Answer: 0; -2
Step-by-step explanation:
Data: y-intercept=x and slope=x
Equation=y=-2
Only step, Point out the y-intercept and slope
-2=y-intercept
0=slope
Reason: Since there is no visible slope, the placeholder would be 0 therefore the slope would be 0, -2 is the only number left so that means the only number that can be y-intercept is -2.
That is why the slope is 0 and the y-intercept is -2
I hope this helps!
2n 3 + 4n 2 - 7 and -n 3 + 8n - 9
Answer:
7 n and -4 I hope it will help you please follow me
What is the sale price of crocs which regularly cost $35, but now are 30% off
Answer:24.5
Step-by-step explanation:30% of 35 is 10.5. To find the 30% off- you multiply 35 times 0.3 which is 10.5. Then you subtract the 10.5 from 35 for the total cost. 35-10.5=24.50
Answer:
the answer is 24.5
First you multiply 35 x 0.3 = 10.5, then subtract 10.5, 35-10= 24.5
Which in total the answer is 24.5
x²+y²=2
xy=1
x+y= ?
Answer:
2 or -2
Step-by-step explanation:
x²+y²=2
(x+y)²-2xy=2
(x+y)²=4
x+y=±2
Type the correct answer in the box. Use numerals instead of words. Consider the logarithmic function f(x)=log^10(x) The values of f(50) rounded to the nearest hundredth is____
Answer:
1.70
Step-by-step explanation:
Logarithmic functions are the inverses of exponential functions. Hence, exponential functions can be expressed in logarithmic form whereas logarithmic function can be expressed in exponential form. Since log is a function, it is most correctly written as log.
Given that f(x) = log₁₀(x)
To find the value of f(50), we substitute x to be 50 in the logarithm function and solve:
f(50) = log₁₀(50)
f(50) = log₁₀(5 * 10) = log₁₀(5) + log₁₀(10)
f(50) = 1 + log₁₀(5) = 1 + 0.70
f(50) = 1.70
What is the solution to the equation -5p = 24-p?
Op= -6
O p= - 27
Op
O p= 4
O p=
24
25
Answer:
p = -6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-5p = 24 - p
Step 2: Solve for p
[Addition Property of Equality] Add p on both sides: -4p = 24[Division Property of Equality] Divide -4 on both sides: p = -6howdy!!
yr answer is A. -6!!!!
goodluck!!! <33
PLEASE HELP MEE!!
Shawntae has 21 coins, a combination of nickels and dimes. The total value of her coins is $1.70.
How many of each coin does Shawntae have?
a. Define the variables and then write a system of equations that represent the situation.
(2 points)
b. Solve the system using either the substitution or elimination method. Show your work.
2 points)
C. In a complete sentence, how many nickels and how many dimes does Shawntae have?
(2 points)
Answer:b im not sure
Step-by-step explanation:
ur welcome .
By using substitution method, the number of nickels is 8 and the number of dimes is 13.
What is substitution method?The substitution method is one of the algebraic methods to solve simultaneous linear equations. It involves substituting the value of any one of the variables from one equation into the other equation.
Representing the nickels as n and the dimes as d, and knowing that a nickel is 5 cents and a dime is 10 cents, we can write two equations from the given data.
n + d = 21
5n + 10d = 170
We use the first equation to derive a value for n.
n + d = 21
Subtract d from each side.
n + d - d = 21 - d
n = 21 - d.........................(1)
We now simplify the second equation by dividing all terms by 5.
5n + 10d = 170
[tex]\frac{5n}{5} +\frac{10d}{5} =\frac{170}{5}[/tex]
n + 2d = 24
substitute n = 21 - d in above equation
(21 - d) + 2d = 24
21 -d +2d = 24
21 + d = 24
d = 24 - 21
d = 13
n = 21 - d
n = 21 - 13
n = 8
Thus, the number of nickels is 8 and the number of dimes is 13.
Find out more information about substitution method here:
https://brainly.com/question/14619835
#SPJ2
Michelle throws a frisbee into the air. The height of the frisbee at a given time can be modeled by the equation h(t)= -2t
Answer:
(a) The ball will hit the ground after 3 seconds
(b) The maximum height is 6.125
Step-by-step explanation:
Given
[tex]h(t) = -2t^2 +5t +3[/tex]
Solving (a): When the frisbee will hit the ground?
To do this, we set h(t) to 0
So, we have:
[tex]h(t) = -2t^2 +5t +3[/tex]
[tex]-2t^2 +5t +3=0[/tex]
Expand
[tex]-2t^2 +6t-t +3=0[/tex]
Factorize
[tex]-2t(t - 3) -1(t - 3) = 0[/tex]
Factor out t - 3
[tex](-2t -1)(t - 3) = 0[/tex]
Split:
[tex]-2t -1= 0\ or\ t - 3 = 0[/tex]
Solve for t in both equations
[tex]-2t =1\ or\ t = 3[/tex]
[tex]t =-\frac{1}{2}\ or\ t = 3[/tex]
Time can't be negative; So:
[tex]t = 3[/tex]
Solving (b): How height the frisbee will go?
First, we calculate time to reach the maximum height
[tex]t = -\frac{b}{2a}[/tex]
Where:
[tex]h(t) = at^2 + bt + c[/tex]
By comparison:
[tex]a = -2,\ b =5,\ c =3[/tex]
So:
[tex]t = -\frac{b}{2a}[/tex]
[tex]t = -\frac{5}{2*-2}[/tex]
[tex]t = \frac{5}{4}[/tex]
[tex]t = 1.25[/tex]
So, the maximum height is:
[tex]h_{max} = -2 * 1.25^2 + 5 * 1.25 + 3[/tex]
[tex]h_{max} = 6.125[/tex]
pleaseee helppp meee!!!!
Answer:
Vertical change of point C to B = 4.5
Vertical change of point A to D = -4
Step-by-step explanation:
Vertical change of a point is the rise of the given point.
Now we have to calculate the rise of point C to B,
y-coordinate of the point C → -2.5
y-coordinate of the point B → 2
Rise from C to B = 2 - (-2.5)
= 2 + 2.5
= 4.5
Similarly, y - coordinate of point A → 2
y - coordinate of point D → -2
Vertical change or rise = -2 - 2
= -4
Therefore, vertical change of point C to B = 4.5
Vertical change of point A to D = -4
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer: you're screwed dude. i had trouble with that two. you should pack up your stuff and run away before your mom finds out that you failed.
Step-by-step explanation:
Answer:
[tex]\frac{3}{4}[/tex] liter
Step-by-step explanation:
Initial amount of milk = 2 litersUsed in the morning = [tex]\frac{1}{2}[/tex] literMilk left = 2 liters - [tex]\frac{1}{2}[/tex] liter = [tex]1\frac{1}{2}[/tex] liters[tex]1\frac{1}{2}[/tex] liters used in half: [tex]1\frac{1}{2}[/tex] : 2= 3/2 :2 = 3/4 literHow much is
of 1/4 of 1 1/3
The product of the two given fractions is 1/12.
Given that, 1/4 of 1/3.
The product of two fractions is the product of the numerators and the product of the denominators.
Product of two fractions = Product of their numerators / Product of their denominators
1/4 × 1/3
= (1×1)/(4×3)
= 1/12
Therefore, the product of the two given fractions is 1/12.
To learn more about the product of two fractions visit:
https://brainly.com/question/7335118.
#SPJ1