Answer:
x = - 7, x = - 1
Step-by-step explanation:
To find the zeros let f(x) = 0 , that is
x² + 8x + 7 = 0
Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)
The factors are + 7 and + 1 , since
7 × 1 = + 7 and 7 + 1 = + 8 , then
x² + 8x + 7 = 0
(x + 7)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x + 1 = 0 ⇒ x = - 1
A rectangle has a length of 24cm and breadth is 6cm.Express the breadth as a percentage of the length
Answer:
Breadth is 25% of the length
Step-by-step explanation:
Length, l = 24 cm
Breadth, b = 6cm
Expressing the breadth as a percentage of the length :
(Breadth / length) * 100%
(6 / 24) * 100%
0.25 * 100%
= 25%
Hence, the breadth is 25% of the length
What is the slope of the line shown on the graph?
Find the perimeter and area of a rectangle with a length of 3.4cm and a width of 4.3cm
Answer:
perimeter of a rectangle
=2×(L+B)
=2×(4.3+3.4)
=2×7.7
=15.4
Area of a rectangle
=L×B
=4.3×3.4
=146.2
Answer:
Step-by-step explanation:
The formula for the perimeter of a rectangle of length L and width W is
P = 2L + 2W. In this particular problem, P = 2(3.4 cm) + 2(4.3 cm), or
P = 6.8 cm + 8.6 cm, or P = 15.4 cm
The formula for the area of a rectangle of length L and width W is A = L * W.
In this problem, the area is A = (3.4 cm)(4.3 cm) = 14.62 cm^2 = A
help me pleaseeeeeee
Answer:
(a) 152.5
(b) -45.4
(c) 750
(d) -87.5
Step-by-step explanation:
To calculate the percentage increase:
First: work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number.
Then: divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
I hope this helps! :)
Mrs. Harbrook can choose from two rectangular pool sizes. The pool manufacturer provides her with the area of the pool, but she needs to find the dimensions in order to determine if the pool will fit in her yard.
If the area of the pool is x2−17x+72, what are possible expressions to represent the length L and the width W ?
Answer:8 or 9 ft
Step-by-step explanation:
Given
The area of the pool is [tex]A=x^2-17x+72[/tex]
The area is in the form of a quadratic equation
So, the roots of the equation will give the length and width of the pool
[tex]\Rightarrow x^2-17x+72=0\\\Rightarrow x^2-8x-9x+72=0\\\Rightarrow x(x-8)-9(x-8)=\\\Rightarrow (x-8)(x-9)=0\\\Rightarrow x=8\ or\ 9[/tex]
Therefore length and width can either be [tex]\text{8 or 9 ft}[/tex].
[tex]\Rightarrow L=8\ ft,W=9\ ft\ \text{or}\ L=9\ ft,W=8\ ft[/tex]
The legs of a right triangle measure 4 and 6 Inches. The area of the triangle is
5 In.
24 in.
12 in.
Answer:
24 in could be the area of the triangle
Angie packed same-size cubes into a rectangular prism. Image shows a base of cubes 3 units long, 2 units wide, and with a column of cubes 1 cube wide and 7 cubes tall. Which expression could be used to find the number of cubes that would fill the prism? A. ( 3 + 2 ) + 7 B. ( 3 × 2 ) × 6 C. ( 3 × 2 ) + 7 D. ( 3 × 2 ) × 7
Answer:
I believe it's C. (3 x 2) + 7!
The expression that could be used to find the number of cubes that would fill the prism will be (3 x 2) x 7. The correct option is D.
What is a rectangular prism?A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism. It is referred to as a prism because of the length of its cross-section.
The rectangular prism has a base of cubes that is 3 units long and 2 units wide, which means it has an area of 3 x 2 = 6 square units.
The prism is also 7 cubes tall. To find the total number of cubes in the rectangular prism, we need to multiply the area of the base by the height of the prism. Therefore, the expression that could be used to find the number of cubes that would fill the prism is:
(3 x 2) x 7 = 6 x 7 = 42
So the answer is D. (3 x 2) x 7.
To know more about rectangular prism follow
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Through(-4,5) and (8,5)
Answer:
what?
Step-by-step explanation:
Answer:
What
Step-by-step explanation:
Whata
Help plss????????? ????????
Answer:
D. Infinite
Step-by-step explanation:
I put it in a graph and they had the same exact line so ya.
11 is quotient of a number y and 6
11=y/6
---
hope it helps
sorry, I didn't know how to explain it
Answer: 11= y/6y= 66
Step-by-step explanation:
solve for the variables.
Answer:
The question gives the fact that both lines are parallel.
So:
3p - 15 = 7p - 5
3p = 7p + 10
-4p = 10
p = 10/-4
p = 5/-2
Answer:
The answer is 3p - 15 = 7p - 5 3p = 7p + 10 -4p = 10 p = 10/-4 p = 5/-2
Step-by-step explanation:
Use the graph to write a linear function that relates y to x
Answer:
y=4/3x+2
Step-by-step explanation:
3(4x+6)=-4
What property did you use to solve this problem?
Answer:
The distributive property
Step-by-step explanation:
You have to distribute the 3 to the parenthesis so it is the distributibe property.
Tyler stands facing a tree that is 9 meters tall. he places a straight stick on the ground at his feet, angles it up until it points to the top of the tree, and measures the angle as 55 degrees. how many meters away is he standing from the tree?
Answer:
Distance of boy from tree (base) = 6.3 m (Approx.)
Step-by-step explanation:
Given:
Height of tree (perpendicular) = 9 m
Given angle = 55°
Find:
Distance of boy from tree (base)
Computation:
Using trigonometry function
tanθ = Perpendicular / Base
tan 55 = 9 / Base
1.4281 = 9 / Base
Base = 6.3
Distance of boy from tree (base) = 6.3 m (Approx.)
15 points on the line better answer quick!
Please help me with this, I need to find the missing angle of both of the triangles. Thank you. :))
If A (4,3) is rotated around the origin to become A' (-3, 4), what kind of rotation did it go through?
A 270° Counterclockwise
B 270° Clockwise
C90° Clockwise
D 180° Clockwise
Answer:
B 270° Clockwise
Step-by-step explanation:
need some help please
Answer:
A(t)+900=x
B(t)+500=x
for the sake of things X represents the answer and as both need to equal the same it works out so that plugging it into a calculator should give you the answer
Step-by-step explanation:
you could start by making a T chart on one Side A the other B starting with 900 at A and 500 at B go down by the appropriate increments 950, 600;1000, 700; 1050, 800; 1100, 900, 1150, 1000; 1200, 1100; 1250, 1200, and you guessed it, 1300, 1300. so there you go X=1300
What is the slope-intercept equation of the line below?
Answer:
Step-by-step explanation:
(0, -1) (1, -3)
(-3 + 1)/(1 - 0)= -2/1= -2
y + 1 = -2(x - 0)
y + 1 = -2x + 0
y = -2x - 1
answer is C
The two figures are proportional. Find the value of x.
Answer:
C. 30in
Step-by-step explanation:
[tex]\frac{36}{12} = \frac{x}{10}[/tex]
x = 30
WILL GIVE BRAINLIEST!
Given that ℓ1 ∥ ℓ2 and y = 20°, find x.
x =
°
8. Which expression is equivalent to 0.6x?
O
X-0.4x
O
1 -0.4x
X + 0.6
0.6X - X
Answer:
X - .4x
Step-by-step explanation:
X - .4x = x(1-.4) = .6x
1 -0.4x These are not like terms so they cannot be combined
X + 0.6 These are not like terms so they cannot be combined
0.6X - X x( .6-1) = x(-.4) = -.4x
The area of a rectangular parking lot is 8051 m ^2 . If the length of the parking lot is 97 m, what is its width?
Answer:
Width of rectangle = 83 meter
Step-by-step explanation:
Given:
Area of rectangle = 8,051 m²
Length of rectangle = 97 m
Find:
Width of rectangle
Computation:
Area of rectangle = Length of rectangle x Width of rectangle
97 x Width of rectangle = 8,051
Width of rectangle = 8,051 / 97
Width of rectangle = 83 meter
Which of the following represent a linear function? *
10 points
1
4
6
2
-9
-6
14
A)
-
23
63
89
3
2
16
A
С
- 16
3
15
- 3
2
13
17
3
7
-21
- 26
59
41
D
nvm that isnt it pls delete this message
PLEASE HELP I WILL MARK BRAINLIEST IF YOURE RIGHT.
The heights of a triangle ABC meet at a point K.AB=CK.Find the angle of C.
Answer:
45°
Step-by-step explanation:
AD⊥BC, BE⊥AC, CF⊥AB AB = CK
∠1 + ∠2 = 90° ∠5 + ∠2 = 90° ∴ ∠1 = ∠5
∠5 + ∠4 = 90° ∴ ∠4 = ∠2
AB = CK
ΔABD ≅ ΔCKD (ASA)
AD = CD ∴ΔADC is an isosceles triangle
∠C = ∠CAD = 45° (∠C + ∠CAD = 90°)
A jar of sweets has 84 M&M sweets and 28 jelly bean sweets. What percent of the sweets are
jelly bean?
Answer:
25% of the sweets in the jar are jelly beans.
Answer:
25% of sweets are jelly bean
Step-by-step explanation:
Help please!?!?!?!?!?!?!?!?!
Answer:
Your answer is D.
Step-by-step explanation:
If you need explanation ask me in comment
Suppose there is a 1.2°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 56.9°F, what will be the temperature when the plane reaches an altitude of 6,000 ft?
Answer: [tex]49.7^{\circ}F[/tex]
Step-by-step explanation:
Given
The temperature on the ground is [tex]56.9^{\circ}F[/tex]
temperature drop observed is [tex]1.2^{\circ}F\ \text{per 1000 ft}[/tex]
The height of the plane is [tex]6000\ ft[/tex]
The total increase in height per [tex]1000\ ft[/tex] is [tex]6[/tex] units
Temperature drop is
[tex]\Rightarrow 1.2\times 6=7.2^{\circ}F[/tex]
The temperature at that altitude is
[tex]\Rightarrow 56.9-7.2=49.7^{\circ}F[/tex]
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What is the slope of the line through (-2,-6) and (2, 2)?
Choose 1 answer
2.
B В
1
2
-2
D
1
2
Answer:
The slope is 2
Step-by-step explanation:
Question in photo! ty :)
Step-by-step explanation:
its easy use a calculator and in place of x put 1.5 and in place of y put 3.
Answer:
9/2
Step-by-step explanation: