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PtichkaEL [24]
2 years ago
6

Write each quadratic expression in standard form. Draw a diagram if needed. (x+4)(x-1)

Mathematics
1 answer:
12345 [234]2 years ago
4 0

Answer:

The standard form of the quadratic equation is x² + 3·x - 4 = 0

Step-by-step explanation:

The standard form of a quadratic equation is a·x² + b·x + c = 0

Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;

(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0

The standard form of the quadratic equation is x² + 3·x - 4 = 0

The graph of the equation created with MS Excel is attached

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One number is 7 more than another. The difference between their squares is 161. What are the numbers?
sergeinik [125]
X is 7 more than y
x>y then
difference betwen squares is 161 so


x=7+y
and
x²-y²=161

so
x=7+y
sub that for x in other equation

(7+y)²-y²=161
y²+14y+49-y²=161
14y+49=161
minus 49 both sides
14y=112
divide both sides by 14
y=8

sub back

x=7+y
x=7+8
x=15

the numbers are 15 and 8
3 0
3 years ago
Read 2 more answers
a chord is drawn 3 cm away from the centre of a circle of radius 5 cm. calculate the length of the chord​
lara [203]

Answer:

8 cm

Step-by-step explanation:

the 3 cm line from the chord to the center of a circle is a leg of a right triangle which perpendicularly bisects the chord into two equal halves

draw the hypotenuse of the right triangle from the center of the circle to the endpoint of the chord. This is a radius measuring 5 cm.

find the missing leg of the right triangle

a^2= c^2- b^2

a^2= 25-9

a^2=16

a=4

this is only the measurement of half the chord. To find the full length of the chord multiply by two

4*2=8 cm

7 0
2 years ago
a semicircular flower bed has a diameter of 3m. What is the area of the flower bed. Give answer to one decimal place
MAVERICK [17]
You use the cricle fourmla (πr sqaure). and you will get 7.065
7 0
3 years ago
Geetika bought 15.40m long cloth. The tailor cuts 11m and 5cm for dress and 2m 3 cm for a shirt and returned the remaining cloth
amm1812

Answer:

The length of cloth Geeka got is 2.32m

Step-by-step explanation:

The length Geetika got can be calculated by deducting the total length the tailor cuts from the initial length of the cloth.

Initial length of cloth = 15.40m

From the question, the tailor cuts 11m and 5cm for dress and 2m 3 cm for a shirt.

Therefore, the total length the tailor cut = 11m 5cm + 2m 3cm = 13m 8cm

NOTE: 13m 8cm = 13.08m

The length Geeka got = 15.40m - 13.08m = 2.32m

Hence, the length of cloth Geeka got is 2.32m

4 0
3 years ago
The distance around a circle
PilotLPTM [1.2K]

Answer:

circumference

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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