Answer:
We are given
[tex]( \sqrt{3} + \sqrt{7} )( \sqrt{7} - \sqrt{3} )[/tex]
We want to consolidate the equation firstWe get an answer of 4Answer:
4
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
Given
([tex]\sqrt{3}[/tex] + [tex]\sqrt{7}[/tex] )([tex]\sqrt{7}[/tex] - [tex]\sqrt{3}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
[tex]\sqrt{3}[/tex] ([tex]\sqrt{7}[/tex] - [tex]\sqrt{3}[/tex] ) + [tex]\sqrt{7}[/tex] ([tex]\sqrt{7}[/tex] - [tex]\sqrt{3}[/tex] ) ← distribute both parenthesis
= [tex]\sqrt{21}[/tex] - 3 + 7 - [tex]\sqrt{21}[/tex] ← collect like terms
= 4
Use the equation below to find y, if m= 8 and x=6.
y=mx
y=?
Answer:
The value of y is 48.
Step-by-step explanation:
You have to substitute the values into the equation :
[tex]y = mx[/tex]
[tex]let \: m = 8,x = 6[/tex]
[tex]y = 8 \times 6[/tex]
[tex]y = 48[/tex]
What two equations have a solution of (3, 6)
Answer:
y=2x and y=-x+9
Step-by-step explanation:
HELP PLEASE 30 points
Part 1 out of 2
To repair a large truck or bus, a mechanic might use a parallelogram lift. The figure shows a side view of
the lift. FGKL, GHJK, and FHJL are parallelograms.
G
2
T: +
3
5
6
8
17
K
3
Which angles are congruent to 21?
<
,2
2
are congruent to 21.
Check
Next
Answer: <3, <6, <8
Step-by-step explanation:
Trust me
Order the following numbers from least to greatest.
Put the lowest number on the left.
18 , -53 , -24 , 0
Answer:
-53, -24, 0, 18
Step-by-step explanation:
Hope this helps :)
5. From the choices below, choose an expression that is equivalent to the
expression below.
22
Answer: -(22/4)
Step-by-step explanation:
If it is 7:25 A.M. and Antonio started his run 25 minutes ago, what time did Antonio start running?
A) An empty bulldozer weighed 5 8 ⁄10 tons. If it scooped up 7 1 ⁄10 tons of dirt, what would be the combined weight of the bulldozer and dirt?
B) Gwen's new puppy weighed 8 5 ⁄8 pounds.Her new kitten weighed 2 2 ⁄8 pounds. How much more did the puppy weigh than the kitten?
C) Amy walked 2 5 ⁄6 miles in the morning and another 3 3 ⁄7 miles in the afternoon. What was the total distance she walked?
D) A recipe called for using 2 6 ⁄8 cups of flour before baking and another 3 1 ⁄2 cups after baking. What is the total amount of flour needed in the recipe?
E) 113 – 2
F) 215 – 4
Answer: 12 9/10 and 10 7/8
Step-by-step explanation:
5 8/10 plus 7 1/10 equals 12 9/10
8 5/8 plus 2 2/8 equals 10 7/8
20 The table shows the linear relationship between the balance of a student's
savings account and the number of weeks he has been saving.
Savings Account
Week
0
1
3
6
8
13
Balance
(dollars)
32
39
53
74
88
123
Based on the table, what was the rate of change of the balance of the
student's savings account in dollars and cents per week?
Record your answer and fill in the bubbles on your answer document.
Answer:
7 dollars
Step-by-step explanation:
HELP QUICK PLZzzzzzzzzzzzzzzzzzzzz
Answer:
15a - 10
Step-by-step explanation:
-5(-3a + 2)
-5 · -3a = 15a
-5 · 2 = -10
15a - 10
Can someone help me please
Answer:
4¹
Step-by-step explanation:
if you divide the powers then you get 1.16 but here it is simplified
HELP I NEED HELP ASAP
Answer: The answer is C
Step-by-step explanation:
From end zone to end zone , a football field is 120 yards long .how long is the football field in feet
Answer: 360 feet
Step-by-step explanation: Since there's 3 (feet) in 1 (yard) then in 120 yards you'll have to multiply it by 3, since 3 feet is in 1 yard. So in every yard is 3ft so you'll multiply.
120*3=360
Answer:
360
Step-by-step explanation:
You have fifteen blankets that each take up 557 cubic inches of space. How many blankets could you pack into a 14-inch moving box?
a. 10 blankets
b. 4 blankets
c. 3 blankets
d. 13 blankets
Answer:
b i think please tell me if im wroung
Answer is 4.
Volume of cube:
The formula of volume of a cube of length l is l x l x l.
(Here), Given
volume of box = (14 x 14 x 14) = 2744 cubic inches.
1 blanket take 557cubic inches
Now, Number of blankets packed in a 14 inch box = 2744 / 557
=> 4.9
i.e., 4 complete blankets can pack.
Learn more about volume of cube here:
https://brainly.com/question/19373839?referrer=searchResults
#SPJ2
need the answer asap
17) -15x=0
Help me math is next period!!
Answer:
x = 0
Step-by-step explanation:
-15x = 0
Divide both sides by -15
x = 0
x =0
Asha and Atulya has bookshelves of the same size. Asha's shelf is 2/3 full of books and Atulya's shelf is 2/5 full. Whose bookshelf is more full? By what fraction?
Answer: See explanation
Step-by-step explanation:
From the question, the following information can be gotten:
Asha's shelf is 2/3 full of books
Atulya's shelf is 2/5 full.
a. Whose bookshelf is more full?
Asha's shelf.
We can convert to Percentage to get this:
Asha = 2/3 × 100 = 66.7%
Atulya = 2/5 × 100 = 40%
By what fraction?
= 2/3 - 2/5
= 10/15 - 6/15
= 4/15
In a right-angled triangle
smallest angle : largest angle = 3:5
Work out the three angles of the triangle.
Your final line should be written like this. The angles are ... , ... , ...
Answer: [tex]36^{\circ}, 54^{\circ}, 90^{\circ}[/tex]
Step-by-step explanation:
Given
Triangle is right-angled
The ratio of smallest and largest angle is 3:5
let the angles be 3x and 5x
In a right-angled triangle, the largest angle is [tex]90^{\circ}[/tex]
[tex]\therefore5x=90^{\circ}[/tex]
[tex]x=\frac{90^{\circ}}{5}=18^{\circ}[/tex]
3x is the smallest angle. Its complementary angle is [tex]90^{\circ}-3x=90^{\circ}-3\times18^{\circ}[/tex]
Complementary angle is [tex]36^{\circ}[/tex]
[tex]3x=54^{\circ}[/tex]
[tex]5x=5\times18^{\circ}=90^{\circ}[/tex]
What is the equation of the line that has a slope of 1/4 and goes through the point (8, -3)?
y= 1/4x -5
y= 1/4x +1
y= 1/4x =11
y= 1/4x +5
PLEASE HELP!! Thank you in advance.
The formula for the lateral surface area of a cylinder is S=2πrh , where r is the radius of the bases and h is the height.
Solve for h.
Answer:
Solving for h gives us:
[tex]h = \frac{S}{2\pi r}[/tex]
Step-by-step explanation:
Given that
Lateral surface area of cylinder = S = [tex]2\pi rh[/tex]
Solving the equation or formula for a particular variable involves isolating the variable on one side of the equation without any factor or denominator.
In the given formula:
Dividing both sides by 2πr
[tex]\frac{S}{2\pi r} = \frac{2\pi rh}{2\pi r}\\h = \frac{S}{2\pi r}[/tex]
Hence,
Solving for h gives us:
[tex]h = \frac{S}{2\pi r}[/tex]
what is the inequality of j - 3 >2
Answer:
J>5
Step-by-step explanation:
I hope this helps let me know if it does
If f(x) = -2x^2 + 3 then f (-3) =
1) -15
2) 21
3) 39
4) -18
Answer:
1) -15
Step-by-step explanation:
Hi there!
In order to solve this problem, plug in -3 for all the x-values.
Your equation will become[tex]-2(-3)^2 +3.[/tex]
Now all you have to do is solve!
[tex]-2(9) + 3[/tex]
[tex]-18 + 3[/tex]
[tex]-15[/tex]
f(-3) = -15
I hope this helped!
2x squared times x squared
The three sides of a triangle are in the ratio 2:4:5. If the perimeter is 22 m, find the
length of the shortest side.
Answer:
what are primary numbers
Answer:
the length of the shortest side would be 4
Step-by-step explanation:
2:4:5
2 + 4 + 5 = 11
4 + 8 + 10 = 22
4:8:10
PLEASE HELP describe the slope of a line then find the slope
Answer:
0?
Step-by-step explanation:
the line is fully horizontal meaning there isn't a slope
In 2 ½ hours, Joaquin can bake 4 dozen cookies. What is his unit rate in dozen cookies per hour?
b. he has 5 hours before the bake sale starts. how many dozen cookies can he bake?
Answer:
1.6 dozens per hour
b. 8 dozens
Step-by-step explanation:
2.5 = 4
4/2.5 = 1.6
1.6 dozens per hour
1.6 x 5 = 8
8 dozens
Zane had 7 green marbles. Then he bought 7 bags of blue marbles. There were 7 marbles in
each bag. How many marbles does Zane have now?
Answer:
56 marbles
Step-by-step explanation:
7*7=49
49+7= 56
Answer:
56
Step-by-step explanation:
the 7 she had multiplied by the 7 bags and 7 marbles in the bag
seven multiplied by 7 plus 7
Number 8 I need help plz
Can you guys help me ?
HELP WILL GIVE 15 POINTS, GOOD RATING AND BRAINIEST
PLZ HELP WITH MATH ASAP
Answer:
C, because the segment in front of it is the smallest
Answer:
yes
Step-by-step explanation: